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List of Publications

(In reputed International Journals)

In the year – 1995

  1. L.Rajendran and M.V.Sangaranarayanan, A two point Padé approximation for the non-steady state chonoamperometric current at ultramicrodisc electrodes. Journal of Elecroanalytical Chemistry, 392 (1995) 75-78.

In the year – 1996

  1. L.Rajendran and M.V.Sangaranarayanan, Steady state chronoamperometric current at   ultarmicrodisc electrodes. J.Electrochem Soc.India, 45(3) (1996) 135-140.

In the year – 1997

  1. L.Rajendran and M.V.Sangaranarayanan, Diffusion at ultramicroelectrodes: Chronoamperometric current response using Padé approximation, Journal of Physical Chemistry B, 101 (1997) 4583-4587.

In the year – 1998

  1. L.Rajendran and R.Nallasamy , Chronoamperometric current at ultramicroelectrodes: Padé  approximation for a reversible electron transfer scheme. Electroanalysis, 10(7) (1998) 506-511.

In the year – 1999

  1. L.Rajendran  and M.V.Sangaranarayanan, Diffusion at ultramicrodisc electrodes: chronoamperic current for steady state EC’ reaction using scattering analog techniques. Journal of Physical Chemistry. B, 103 (1999) 1518-1524.

In the year – 2000

  1.  L.Rajendran, Padé approximation for ECE and DISP processes at channel electrodes.Electrochemistry Communication, 2 (2000) 186-189.
  2. L.Rajendran and M.V.Sangaranarayanan, Chronoamperometric current at    ultamicro     spheriodal electrodes for steady state Ec’ reaction-A two-point Padé  approximate, Indian    Journal of Chemistry.Sec A, 39A (2000) 356-363, (special issue).
  3.  L.Rajendran, Analysis of non-steady state current at hemispheroidal ultramicroelectrodes, Electrochemistry Communication, 2 (2000) 531-534.
  4. L.Rajendran, Padé approximation of EC’ processes at channel electrodes. Journal of Electroanalytical Chemistry, 487 (2000) 72-74.
  5.  L.Rajendran, Modelling of reaction-diffusion processes: the theory of catalytic electrode Processes at hemispheroidal ultramicroelectrodes. Electrochemistry Communication, 2 (2000) 679-684.

In the year – 2001

  1. L.Rajendran, and S.P,Ananthi, Transient Chronoamperometric current response at hemispheroidal ultramicroelectrodes, Journal of Electroanalytical  Chemistry, 501 (2001) 210-214.

In the year – 2002

  1. L.Rajendran and S.P.Ananthi , Modelling of reaction – diffusion processes: part(ii) the theory of catalytic electrode Processes at hemi oblate and prolate ultramicroelectrodes. Electrochemistry Communication, 4 (2002) 72-75.

In the year – 2003

  1. L.Rajendran  A.Subbiah, and T.Vasudevan , A Two-point  Padé approximation  for mass-transfer rate at rotating disc electrode. Journal of Electroanalytical Chemistry, 547 (2003) 173-177.

In the year – 2004

  1. L.Rajendran and S.P.Aananthi  Analysis of positive feedback currents at scanning electrochemical microscope. Journal of Electroanalytical Chemistry, 561 (2004) 113-118.
  2.  K.Ludwig  L.Rajendran and B.Speiser,Echem++- An object oriented problem solving   environment for electrochemistry. Part I.A C++ class collection for electrochemical    excitation function. Journal of Electroanalytical  Chemistry, 568 (2004) 203-214.

In the year – 2006

  1. L.Rajendran, Analytical solution for the steady state  Chronoamperometric current for an EC’ reaction at spheroidal ultramicroelectrodes. Journal  of  Theoretical and Computational  Chemistry,  5(1) (2006) 11-24.
  2. L.Rajendran, Microring Electrode : Transient and steady- state chronoamperometric current for first order Ec’reactions, Electrochimica Acta, 51 (2006) 4439-4446.
  3. L.Rajendran, A two point Padé approximation of mass transfer rate at microdisc electrodes in a channel flow for all peclet numbers. Electrochimical Acta, 51 (2006) 5407-5411.
  4.  C. Ahmed Basha, L. Rajendran. Theories of ultramicrodisc electrodes : Review article, International Journal of Electrochemical Science, 1 (2006) 268-282.
  5.  A.Rajasekar, L.Rajendran, S.Maruthamuthu, N.Palaniswamy and A.Rajendran ,     Prediction of corrosion rate of steel AP5LX using curve fitting method, Materials Protection, (2006) 47-50.

In the year – 2007

  1. L.Rajendran,G.Rahamathunissa and C.Ahmed Basha, Modelling of reaction – diffusion processes:  The theory of catalytic  electrode Processes at cylindrical ultramicroelectrodes. Journal  of  Theoretical and Computational  Chemistry, 6(2) (2007) 301-307.
  2. L.Rajendran,G.Rahamathunissa and C.Ahmed Basha, Theories of diffusion at a microring electrodes: A Review , Journal  of  Theoretical and Computational  Chemistry, 6(4) (2007) 697-713.
  3.  L.Rajendran ,R. Senthamarai, N.Palaniappan,  Analytical expression of current-time behaviour in rapid flash photolytic processes at a planar electrode.  Physical chemistry: An Indian Journal, 2(3) (2007) 202-206.

In the year – 2008

  1. L.Rajendran,G.Rahamathunissa, Modelling of  non-linear reaction – diffusion processes of amperometric polymer-modified electrode , Journal  of  Theoretical and Computational  Chemistry 7(1) (2008) 113-138.
  2.   R. Senthamarai, L. Rajendran, A comparison of diffusion limited current at microelectrodes of various geometries for EC’ reaction. Electrochimical Acta 53 (2008) 3566-3578.
  3.  R. Senthamarai, L. Rajendran, A comparison of diffusion limited current at microelectrodes  of various geometries for E’ reaction , Journal  of  Theoretical and Computational  Chemistry 7 (2)(2008) 205-219.
  4.  L. Rajendran,  G.Rahamathunissa, The Application of He’s variational iteration method to nonlinear boundary value problems in enzyme-substrate reaction diffusion processes : Part 1.The steady-state amperometric response, Journal of Mathematical Chemistry 44 (2008) 849-861.
  5. R. Senthamarai, L. Rajendran, Analytical expression of transient chronometric current at ultramicroband electrode, Russian Journal of Electrochemistry  44(10) (2008) 1156-1161.

In the year – 2009

  1. R. Senthamarai, L. Rajendran, Traveling wave solution of non-linear coupled reaction diffusion equation arising in Mathematical chemistry Journal of Mathematical Chemistry, 46 (2009) 550-561.

In the year – 2010

  1. A. Meena, A. Eswari, L. Rajendran, Mathematical modelling of enzyme kinetics reaction mechanisms and analytical solutions of non-linear reaction equations, Journal of Mathematical Chemistry , 48 (2010) 179-186.
  2. R. Senthamarai and L. Rajendran , System of coupled non-linear reaction diffusion processes at  conducting polymer ultramicroelectrodes, Electrochimica Acta, 55 (2010) 3223-3235.
  3. A. Eswari, L. Rajendran, Analytical soution of steady-state current at a microdisk biosensors, Journal of Electroanalytical  Chemistry,  641 (2010) 35-44.
  4. P. Manimozhi, A. Subbiah, L. Rajendran, Solution of steady-state substrate concentration in the action of biosensor response at mixed enzyme kinetics, Sensors and Actuators B, 147 (2010) 290-297.
  5.  S. Loghambal,  L. Rajendran,   Mathematical   modeling  of  diffusion  and           kinetics   of    amperometric    immobilized   enzyme  electrodes,        Electrochimica Acta, 55 (2010) 5230- 5238.
  6.  A. Meena, L. Rajendran, Mathematical  modeling of   amperometric  and    potentiometric  biosensors  and  system  of non-linear quations-Homotopy    perturbation  approach,  Journal   of  Electroanalytical  Chemistry,     644(2010) 50-59.
  7.  S.Anitha,   A.Subbiah,   L.Rajendran,   Ashok   Kumar, Solutions of the coupled reaction and  diffusion equations  within  polymer  modified    ultramicroelectrodes,  Journal   of   Physical   Chemistry  A,  114  (2010) 7030-7037.
  8.  P.Manimozhi, L.Rajendran , Derivation of non steady-state analytical  solution   for  surface  enzymatic   kinetics   reaction    for  biopolymer  microarrays, Journal of  Electroanalytical   Chemistry, 647 (2010)  87–92.
  9.  A. Eswari, L. Rajendran,  Application of variational iteration method and   electron   transfer   mediator/catalyst    composites   in  modified electrodes, Natural  Science, 2(6) (2010) 612-625.
  10.  A. Eswari, L. Rajendran,  Analytical solution of steady state  current  an    enzyme    modified    microcylinder    electrodes ,    Journal  of Electroanalytical   Chemistry,  648   (2010) 36-46.
  11.  S. Loghambal, L. Rajendran,   Analysis  of   Amperometric  Enzyme electrodes in the homogeneous mediated mechanism  using Variational iteration  method,  Int.  J.  Electrochem. Sci.,    5  (2010)   327-343.
  12.  A. Meena, L. Rajendran, Analytical  solution  of  system  of         coupled  non – linear  reaction   diffusion   equations  Part I:  Mediated  electron transfer  at   conducting  polymer   ultramicroelectrodes,   Journal  of Electroanalytical    Chemistry,  647 (2010)  103–116.
  13.  A. Meena,  L. Rajendran,  Analysis  of  pH – Based    Potentiometric Biosensor    using   Homotopy   perturbation   method, Chemical Engineering  &  Technology, 33(2010) 1-10.
  14.  A. Meena, L. Rajendran, Analytical solution of system of  coupled non-linear  reaction diffusion  equations,   Part II:   Direct   reaction  of  substrate    at    underlying    microdisc   surface,     Journal  of  Electroanalytical Chemistry, 650 (2010) 143–151.
  15.  V. Margret, L. Rajendran, Analytical expression of non steady- state  concentration profiles at planar electrode for the CE mechanism,  Natural Science, 2(11) (2010) 1318-1325.
  16.  V. Ananthaswamy, A.Eswari, L.Rajendran, Analytical solution of  system of non-linear  reaction-diffusion equations in a thin  membrane: Homotopy  perturbation approach, Journal of  physical chemistry  an Indian journal, 5(2) 2010 1-9. Reaction,International Journal of Mathematical Archive, 2012,3(5),  1-10.

In the year – 2011

  1. A. Eswari, L. Rajendran,    Mathematical    Modeling  of Cyclic voltammetry for EC reaction, Russian Journal of  Electrochemistry,  47(2) (2011) 181- 190.
  2. A. Eswari, L. Rajendran,  Mathematical    Modeling    of Cyclic voltammetry for EC reaction, Russian Journal of    Electrochemistry,  47(2) (2011) 191-199.
  3. A. Meena, L. Rajendran, Analytical  solution  of  nonlinear diffusion  processes   in  modified     electrode,     Russian   Journal   of  Electrochemistry, 47(2) (2011) 147-155.
  4.  G. Varadharajan,   L. Rajendran,    Analytical   solution  of the   concentration and current in the electroenzymatic processes  involved  in a PPO-rotating- disk-bioelectrode,   Natural Science, 3 (1) (2011) 1-8
  5. A. Eswari,  L. Rajendran,  Analytical expressions  of concentration  and   current   in  homogeneous    catalytic reactions    at   spherical  microelectrodes :   Homotopy Perturbation   approach, Journal  of  Electroanalytical         Chemistry, 651  (2011)  173-184.
  6. G.Rahamathunissa, P.Manisankar, L.Rajendran,  G.Venugopal, Modeling of nonlinear boundary value problems in enzyme-catalyzed reaction diffusion processes, Journal of Mathematical Chemistry, 49 (2011) 457-474.
  7. S. Loghambal, L. Rajendran, Mathematical modeling in  amperometric oxidase enzyme-membrane electrodes, Journal   of   Membrane Science, 373 (2011) 20-28.
  8. S. Loghambal, L. Rajendran, Mathematical modeling of a Tubular Spectrochemical Cell using the finite Hankel transformation, Russian  Journal  of  ElectroChemistry,47(8)  (2011) 883-889.
  9. S. Usha, A. Eswari, L. Rajendran, Approximate solution of nonlinear reaction diffusion equations in homogenous process coupled to electrode reactions for CE mechanism at a spherical  electrode, American Journal of Analytical   Chemistry, 2  (2011) 93-103.
  10. Anitha Shanmugarajan, Subbiah Alwarappan, Subramaniam Somasundaram, Rajendran  L, Analytical solution of amperometric enzymatic reactions based on Homotopy perturbation  method, Electrochimica Acta, 56 (2011) 3345–3352.
  11. K. Venugopal, L. Rajendran, Application of two point pade approximation in boundary value problems, Global Journal    of  Mathematical Science:Theory&Practical, 30(1) (2011)     65-71. 
  12. S. Thiagarajan, A. Meena, L. Rajendran, Approximate solution of  non-steady concentration and current at a hemispherical  microelectrode-Homotopy perturbation approach, Journal of  physical chemistry an Indian journal,    6(2) (2011)  96-104. 
  13. Anitha Shanmugarajan, Subbiah Alwarappan , Rajendran          Lakshmanan, Analytical Expression of Non-Steady-State Concentrations and Current Pertaining to Compounds Present in  the  Enzyme Membrane of Biosensor J.Phys.Chem.A.,
  14. C. Thanga Pandi, L. Rajendran, Analytical Solution of Non-Linear  Differential Equation in Oscillatory Chemical Reactions.  Global  Journal of Theoretical and Applied  Mathematics  Sciences, 1(1) (2011) 61-69.
  15. Alagu Eswari, Seetharaman Usha, Lakshmanan Rajendran Approximate Solution of Non-linear Reaction Diffusion Equations in Homogeneous Processes Coupled to Electrode Reactions for CE  Mechanism at a Spherical Electrode.         American Journal of Analytical Chemistry, 2(2011)93-103.
  16. K. Indira, L. Rajendran, Analytical expression of the concentration of  substrates and product in phenol–polyphenol  oxidase system immobilized in Laponite® hydrogels.Michaelis– Menten formalism in  homogeneous medium.Electrochimica  Acta, 56 (2011) 6411-6419.
  17. S. Thiagarajan · A. Meena · S. Anitha, L. Rajendran Analytical  expression of the steady-state catalytic current of mediated  bioelectrocatalysis and the application of He’s Homotopy  perturbation   method,J Math Chem. 6(2) 2011 96-104
  18. M. Uma Maheswari , L. Rajendran, Analytical solution of non- linear  enzyme reaction equations arising in mathematical chemistry,J Math Chem. (2011) 49:1713–1726
  19. Govindhan Varadharajan, Lakshmanan Rajendran, Analytical solution of coupled non-linear second order reaction differential equations in enzyme kinetics,Natural Science.( 2011),3(6) 459  465.
  20. A.Meena, A.Eswari, L. Rajendran, Mathematical Modeling of Biosensors: Enzyme-substrate Interaction and  Biomolecular Interaction, In: Pier Andrea Serra, Ed.,  New Perspectives in Biosensors Technology and Applications , In tech, Croatia, (2011) 215-228.
  21. Rathinasamy Angel Joy, Athimoolam Meena, Shunmugham Loghambal, Lakshmanan Rajendran, A two-parameter mathematical model for immobilized enzymes and Homotopy analysis method, Natural Science, 3(7) (2011) 556-565.
  22. S. Loghambal, L. Rajendran, Analytical expressions of concentration  of nitrate pertaining to the electrocatalytic reduction of nitrate ion, J. Electroanal. Chem., 661 (2011)137-143
  23. A. Eswari, L. Rajendran Analytical expressions pertaining to the concentration of catechol, -quinone and current at PPO-modified microcylinder biosensor for diffusion-kinetic model, J.   Electroanal.   Chem., 660 (2011) 200-208.
  24. K.Venugopal, A. Eswari, L. Rajendran,  Mathematical Model For Steady State Current At PPO -Modified Micro-Cylinder Biosensors, Journal of Biomedical Science and Engineering, 4(2011) 631-641
  25. V. Margret Ponrani, S. Loghambal, L. Rajendran, Approximate solution of coupled system of transient reaction diffusion equation for complexes of arbitrary lability, Global Journal of   Mathematical Science : Theory and practical,3(5) (2011) 405-426.
  26. M.Uma Maheswari, L. Rajendran, Analytical solution of non-linear reaction diffusion equations in an amperometric immobilized enzyme electrode, Journal of physical chemistry   an Indian journal, 6(4) (2011) 1-9.
  27. A. Meena, L. Rajendran, New approximate analytical expressions for transient concentration profiles and current pertaining to a homogeneous chemical reaction at hemispherical microelectrodes, J. Phys.Chem. A. 115(40)(2011) 10950-10961.
  28. G. Varadharajan, L. Rajendran, Analytical Solutions of System of Non-Linear Differential Equations in the Single-Enzyme, Single-Substrate Reaction with  on-Mechanism-Based Enzyme Inactivation,  Applied Mathematics,  2 (2011) 1140-1147.
  29. Vincent Michael Raj Margret Pon Rani, Lakshmanan Rajendran, Raju Eswaran, Analytical Expression of the Substrate Concentration in Different Part of Particles with Immobilized Enzyme and Substrate Inhibition Kinetics, Anal. Bioanal.   Electrochem., 3(5) (2011) 507 – 520.
  30. S. Sevukaperumal, A. Eswari, L. Rajendran, Analytical expression pertaining to concentration of  substrate and effectiveness factor for immobilized enzymes with reversible Michaelis-Menten kinetics, Int. J. Comput. Appls., (0975-8887), vol. 33-No.3 (2011) 46-53.
  31. K. Saravanakumar, L. Rajendran, Analytical solution of the concentration of substrate and effectiveness factor for acetophenone in packed bed reactor, International Journal of Mathematical Archive, 2(11) (2011) 2347-2357.
  32. T. Praveen, L. Rajendran, Mathematical model for multi-phase microchannel bioreactors, International Journal of  Mathematical Archive, 2(11) (2011) 2270-2280.
  33. G. Varadharajan, L. Rajendran, Analytical expression for methanol  concentration within a biofilm phase of a biofilter bed under steady state condition, International Journal   of Mathematical Archive, 2(11) (2011) 2389-2402.
  34. C. Thanga Pandi, L. Rajendran, Initial non-linear boundary valuein enzyme-substrate  reaction processes – Homotopy perturbation approach, International Journal of Mathematical Archive, 2(11) (2011) 2308-2313.
In the year – 2012

 80. V. Ananthaswamy, L. Rajendran, Approximate Analytical Solution of Non-Linear Kinetic Equation in a  Porous Pellet, Global Journal of Pure and Applied MathematicsVolume 8, Number 2 (2012), pp.101-111.

 81. S. Muthukaruppan, A. Eswari, L. Rajendran, Analytical solution of the concentration in a packed-bed immobilized enzyme reactor using Homotopy perturbation method, Global Journal of   Theoretical and Applied Mathematics Sciences, vol. 2, No.1 (2012) 27-39.

82. K. Indira, L. Rajendran, Analytical expression of non steady-state concentration for the CE mechanism at a planar electrode,  Journal of  Mathematical Chemistry 50 (2012) 1277-1288.

83. V. Margret PonRani, L. Rajendran, Mathematical modelling of steady-state concentration in immobilized glucose isomerase of packed-bed  reactors, Journal of Mathematical Chemistry, 50 (2012) 1333-1346.

84. K. Indira, L. Rajendran, Analytical Expressions Pertaining to the Concentration of  Substrates and Product in Phenol-Polyphenol Oxidase System Immobilized in Laponite®  Hydrogels: A Reciprocal  Competitive Inhibition Process, Advances in Physical Chemistry ,  2012, Article ID 212818, 11 pages.

85. S. Muthukumar, L. Rajendran, Concentration of Species in Two Species Oscillator using Homotophy Peturbation Method, Global J. of Theoretical and Applied Mathematics Sciences Vol. 2, Number 2 (2012), pp. 99-108

86. S. Anitha, A. Subbiah, L. Rajendran, Approximate Analytical Solution of Nonlinear Reaction’s Diffusion Equation at Conducting Polymer Ultramicroelectrodes, ISRN Physical Chemistry,Volume 2012, Article  ID 745616,12 pages.

87. S. Sevukaperumal, S. Loghambal, L. Rajendran, Analytical Expressions  of Concentrations inside the Cationic Glucose- Sensitive Membrane, Applied Mathematics, 2012, 3, 373-381

88. K. Venugopal, A. Meena, L. Rajendran, Approximate Analytical Solutions for EC and ECE Process with Fast Chemical Reactions at Hemispherical Electrodes, International Journal of   Computational and Applied Mathematics, Volume 7, Number 3 (2012), pp. 339-350

89. C. Thanga Pandi, L. Rajendran, Theoretical Analysis of Concentration of Oxygen in Aerobic Granule-Based Reactors, Global Journal of Theoretical and Applied Mathematics Sciences, 2 (2012), 109-120

90. S.P. Ananthi, A. Meena, L.Rajendran, N. Ramaraj, Theoretical and Numerical  Analysis  of  Electro  catalytic Processes  at Conducting  Polymer Modified Electrodes,   International   Journal  of  Computer Applications, 4(8) (2012), 11-18.

91. A. Eswari, L. Rajendran,  Approximate  analytical  solution  of the concentration of phenol and oxygen and rate of phenol degradation in fluidized bed bioreactor, Biochemical Engineering Journal, 68 (2012) 42– 53.

92.S. Usha, S. Anitha, L. Rajendran, Approximate analytical solution of Non-linear Reaction diffusion  equation in fluidized bed biofilmreactor,Natural Science, 4 (12) , 2012, 983-991.

93. Anitha Shanmugarajan, Rajendran Lakshmanan, A Theoretical Model for an Immobilized Oxidase  Enzyme Electrode in the Presence of Two Oxidants, J. of Modern  Mathematics  Frontier 1( 4), 2012, 46-56.

94.Anandan Anitha, Shunmugham Loghambal, L. Rajendran, Analytical Expressions for Steady-State Concentrations of Substrate  and Product in an  amperometric  biosensor  with the Substrate Inhibition—The Adomian Decomposition method, American  Journal of Analytical Chemistry , 2012, 3, 495-502.

95.Seetharaman Usha, VairamaniAbinaya, ShunmughamLoghambal, Lakshmanan Rajendran, Non-Linear  Mathematical Model of the Interaction between Tumor and on colytic Viruses, Applied Mathematics, 2012, 3, 1089-1096.

96.Subramaniam Muthukaruppan, Indira Krishnaperumal,  Rajendran Lakshmanan, Theoretical  analysis of Mass Transfer with Chemical Reaction  using Absorption of Carbon Dioxide into  Phenyl Glycidyl Ether Solution, Applied  Mathematics , 2012, 3, 1179-1186.

97.M. K. Sivasankari& L. Rajendran, mathematical modeling of amperometric Enzyme electrodes in the homogeneous mediated mechanism using Homotopy perturbation method, International Journal of mathematical Archive-3(3), 2012, Page: 1172-1186.

98. M. K. Sivasankari& L. Rajendran, Analytical expressions of steady-state concentrations of species in potentiometric and amperometric biosensor , Natural science, Vol. 4, No. 12, (2012) 1029-1041.

99. L. Rajendran & L. K. Bieniasz, Analytical Expressions for the Steady-State Concentrations of Glucose, Oxygen and Gluconic Acid in a Composite Membrane for Closed-Loop Insulin Delivery,

The  Journal of Membrane Biology, 246(2), 2012, 121-129, DOI 10.1007/s00232-012-9510-y

 100. V. Ananthaswamy & L. Rajendran*, Analytical Solution Of Two-Point   Non-Linear Boundary Value Problems In Porous Catalyst Particles, International Journal of Mathematical Archive,2012,3(3), 810-821.

101. V. Ananthaswamy,  L.  Rajendran, Analytical Solutions of Some Two-Point Non-Linear Elliptic Boundary Value Problems, International Journal of Mathematical Archive, 2012,  3 (3), 1044-1058.

102. M. Uma Maheswari & L. Rajendran*, Non Linear Boundary Value Problem In Irreversible Second–Order homogeneous Reaction,International Journal of Mathematical Archive, 2012,3(5),  1-10.

In the year – 2013

103. K. Indira, L. Rajendran, Analytical expressions for the  concentrations of Substrate , oxygen and mediator in an  amperometric  Enzyme electrode, Applied mathematical   Modelling, 37 (2013) 5343–5358.

104. V. Ananthaswamy, L. Rajendran, Analytical solution of  Non- isothermal diffusion – Reaction  processes and effectiveness   factors, ISRN Physical Chemistry , Volume 2013, Article  ID487240, 14 pages

105.M. Uma Maheswari, L. Rajendran, Analytical Expressions of Concentrations of Substrate  and Hydroqui None in an   amperometric Glucose  biosensor, ISRN Physical  Chemistry ,  Volume 2013, Article ID143870, 13 pages.

106.Indira Krishnaperumal and  Rajendran Lakshmanan, An   Approximate Analytical method for the Evaluation of the   Concentrations and Current for Hybrid  Enzyme  biosensor ,  ISRN physical Chemistry , Volume 2013, Article ID 202781,   12 pages.

107.V. Ananthaswamy, A. Eswari, L. Rajendran,  Non‐ Reaction ‐   Diffusion  Process in a Thin Membrane and  Homotopy  analysis  method, International  Journal of Automation and Control    Engineering, Volume 2 Issue 1, February 2013, 10-18.

108.M. Rasi, K. Indira, L. Rajendran, Approximate Analytical  expressions for the Steady-State Concentration of Substrate  and   Co Substrate over  amperometric  biosensors for Different  Enzyme   Kinetics, International  Journal of Chemical Kinetics, 45(5),   2013, 322-336, DOI10. 1002/kin. 20768.

109.Subramanian Muthukaruppan, Alagu Eswari, Lakshmanan  Rajendran, mathematical  modelling of a biofilm: The Adomian  decomposition method, Natural Science, Vol. 5, No. 4, 456-   462(2013).

110.Swaminathan Sevukaperumal, Alagu Eswari, Lakshmanan  Rajendran, Solution of Non-linear boundary value problems in immobilized glucoamylase kinetics, Natural Science, Vol. 5, No. 4, 478-494 (2013).

111.Subramanian Ganesan, Shanmugarajan Anitha, Alwarappan   Subbiah& Lakshmanan Rajendran, mathematical  Modeling of a  Carrier- Mediated Transport Process in a Liquid Membrane, J. of Membrane Biology, 264(4), 2013, 236-435, DOI 10. 1007/s00232  -013-9555-6.

112.L. Rajendran, S. Anitha, Reply to “Comments on analytical   solution of amperometric enzymatic Reaction sbasedon Homotopy perturbation method, ” by Ji-Huan He, Lu-Feng Mo[Electrochim.   Acta (2013)], Electrochimica Acta 102 (2013)474– 476.

113.V. Meena, K. Indira, M. Prabha Devi, L. Rajendran, Theoretical   analysis of a SIR epidemic model with constant vaccination  strategy,International Journal of mathematical  Archive, 4(6)  (2013) 1-9.

114.C. Thangapandi, L. Rajendran, Analytical expression of    concentrations of adsorbed CO molecules,  atoms and oxide   oxygen,Natural Science, 5(2013)326-332.

115.S. Sevukaperumal, L. Rajendran, Analytical solution of the  Concentration of species  using modified adomian decomposition   method, International  Journal of mathematical  Archive-4(6),  2013, 107-117.

116.P. Felicia Shirly, S. Narmatha, L. Rajendran, Analytical solution   of boundary value problem in reactive gas absorption, International  Journal of mathematical Archive-4(6), 2013, 228-242.

117.P. Brindha, M. Rasi , L. Rajendran, Analytical solution of Lorenz    Equation  using  Homotopy  analysis method,  Journal of Global   Research in mathematical  Archives, 1(6), 2013, 14-26.

118.M. Sivasankari, L. Rajendran, Analytical Expressions of   Concentration of VOC and Oxygen in Steady-State in Biofilteration  Model, Applied Mathematics, 2013, 4, 314-325.

119.M. K. Sivasankari & L. Rajendran, Analytical Expression of the     Concentration of Species and Effectiveness Factors in Porous     Catalysts  using the Adomian  decomposition method, Kinetics and     Catalysis,2013, Vol. 54, No. 1, pp. 95–105.

120.V. Ananthaswamy, SP. Ganesan and L. Rajendran, Approximate     analytical solution of  Non-linear  Reaction -diffusion  equation in   microwave heating model in a slab:  Homotopy  analysis method,  International  Journal of mathematical  Archive-4(7), 2013, 178-  189.

121.S. P. Ananthi, P. Manimozhi, T. Praveen, A. Eswari, L. Rajendran,      mathematical  modeling and  analysis of the kinetics of thermal in   activation of  Enzyme, International  Journal of Engineering  Mathematics , Vol. 2013, ID 132827, 8 pages.

122.M. Veeramuni, T. Praveen, K. Saravanakumar, L. Rajendran,   mathematical  modeling of immobilized alpha-  chymotrypsininacetonitrile  medium,  Journal of Global Research  in Mathematical Archive, Vol. 1, No. 6. June 2013.

123.K. Saravanakumar, V. Ananthaswamy, M. Subha, L. Rajendran, Analytical solution of  Non-linear boundary value problem for fin  efficiency of convective straight fins  with temperature dependent   thermalconductivity, ISRN Thermodynamics, Vol. 2013,  ArticleID 282481, 8 pages.

124.D. Shanthi, V. Ananthaswamy, L. Rajendran,  analysis of  Non-    linear Reaction – diffusion  processes  with Michaelis-Menten  kinetics by a new  Homotopy perturbation method,   Natural Science, Vol. 5, No.9, 1034-1046(2013).

125.S. Muthukumar, L. Rajendran, Analytical expressions of the     concentrations of Substrate and product in Enzyme inhibition    process Natural Science, Vol. 5, No. 9, 1047-1055(2013).

126.S. Loghambal, L. Rajendran, Analytical expressions for steady-       state concentrations of Substrate , oxidized and reduced mediator   in an amperometric  biosensor , Kinetics and Catalysis,    International Journal of Electro Chemistry  Volume2013,    Article ID 812856, 12 pages .

127.P. Manimozhi, L. Rajendran, Analytical expression of Substrate    and Enzyme Concentration in the Henri-Michaelis-Menten model using Homotopy  analysis method, International  Journal of mathematical Archive– 4(10), 204-214, Oct. – 2013.

128.D. Mary CelinSharmila, T. Praveen, and L. Rajendran,  mathematical Modeling and  analysis of  Nonlinear  Enzyme   Catalyzed Reaction Processes,  Journal of Theoretical  Chemistry,    Volume 2013, Article ID 931091, 1-7 pages.

129.V. Ananthaswamy, SP. Ganesan, L. Rajendran, Approximate  analytical solution of Non-linear boundary value problem in steady  state flow of a liquid film:  Homotopy perturbation method, Int.   Journal of Applied Sciences and Engineering Research, Vol. 2,    No. 5, 2013, 569-578.

130. C. Thangapandi, O. M. Kirthiga and L. Rajendran,Analytical Expressions of Concentration of FreeBacteria and Free Phages,   Global Journal of Mathematics and Mathematical   Sciences.  ISSN 0972-9836 Volume 3, Number 2 (2013), pp. 67-77

In the year – 2014

131.M. Renuga Devi, L. Rajendran, mathematical  modelling of  Enzyme Kinetics Reaction mechanisms and analytical solutions of   Non-linear  Reaction equations  using variational iteration method,   Int. J. of mathematical  Archive-5(1), 2014, 142-151,    ISSN 22295046.

132.Kalaiselvi S, Sunil Kumar, Rajendran L, Analytical expression   for  Concentration and sensitivity of a thin film semiconductor gas
sensor, Ain Shams Engineering Journal (2014).

133.Anandan Anitha, Shanmugarajan Anitha, and Lakshmanan  Rajendran, A Kinetic Model for  amperometric  biosensor  at  Mixed Oxidase  Enzyme, Int. J. Electrochem. Sci.,  9 (2014) 990 -1002.

134.Subha M, Ananthaswamy V, Rajendran L, “A comment on Liao’s  Homotopy  analysis method”, International  Journal of Applied  Sciences and Engineering Research, Vol. 3, Issue 1, 2014,177-186.

135.V. Ananthaswamy, S. Kala, L. Rajendran, Approximate analytical  solution of Non-linear initial value problem for an autocatalysis    in a continuous stirred tank reactor:  Homotopy analysis method,   Int. Journal of mathematical Archieve, 5(4), 2014, 1-12.

136.S. Muthukumar, M. Veeramuni, L. Rajendran, “Analytical  expression of Concentration of Substrate and oxygen in excess  sludge production using adomian decomposition method”, Indian   Journal of Applied Research, 4(5), 2014, 387-392.

137.D. Shanthi, M. Veeramuni, L. Rajendran, Analytical solutions of   Non-linear initial value problem in biochemical sciences, Int.    Journal of mathematical Archive, 5(3), 2014, 150-159.

138. N. Mehala, L. Rajendran, Analysis of mathematical  modelling on potentiometric  biosensor s, ISRN Bio Chemistry ,    Volume 2014, ArticleID 582675, 11 pages.

139. T. Praveen, L. Rajendran, Theoretical analysis of an      amperometric biosensor based on parallel Substrate s conversion”,       ISRN Electro Chemistry, Volume 2014, Article ID 816789,      12 pages

140. R. Sathya, M. Rasi, L. Rajendran, “Analytical expressions for the  Concentration of Substrate, prey and predator in chemo stat model”,     Indian Journal of Applied Research, 4(4), 2014, 372-376.

141. P. Felicia Shirly, S. Narmatha, L. Rajendran, “Analytical solution   of Nonlinear dynamics of a self-igniting  Reaction -diffusion system  using modified adomian  decomposition method”,    Int. J. of Chemical Engineering, Volume 2014,     Article ID 825797, 8 pages

142. O. M. Kirthiga, L. Rajendran, “Analytical expressions of the    concentrations of Substrate, biomass, and ethanol for solid-state    fermentation in biofuel production”, Energy Technology,   2. (2014) 574-578.

143. M. Subha, V. Ananthaswamy, L. Rajendran, “Analytical solution of Non-linear boundary value problem for the electro   hydrodynamic flow equation”, International Journal of   Automation and Control Engineering, 3(2), 2014, 48-56.

144. N. Mehala, V. Ananthaswamy, L. Rajendran, “Analytical   Solutions of Fluorescent Reporters to auxin influx in plant cells”,   International Journal of Innovative Research in Science,   Engineering and Technology, Vol. 3, Issue 3, March 2014.

145.P. Felicia Shirly, V. Ananthaswamy, L. Rajendran, “Analytical   Expressions for an Electrochemical  biosensor  employing the  Enzymes Glucose Oxidase & Horseradish Peroxidase  using the   Homotopy perturbation method”, International  Journal of   Scientific& Engineering Research, Volume 5, Issue 5, May-2014,    1105-1116.

146.D. Shanthi, V. Ananthaswamy, L. Rajendran, “Approximate   Analytical Expressions of  Non-linear Boundary Value Problem  in an amperometric  biosensor   using the New  Homotopy   perturbation method”, International  Journal of Modern   Mathematical Sciences, 2014, 10(3): 201-219.

147.V. Ananthaswamy, S. Mythili, L. Rajendran, “Approximate    analytical expression of thermal Radiation effect on inherent  irreversibility in a variable viscosity channel flow”,    Discovery, 2014, 21 (67), July 3,84-97.

148.V. Ananthaswamy, P. Anusuya, R. Eswaran, L. Rajendran,     “Analytical expression of density of a population in community     ecology from lotka-volterra model:  Homotopy perturbation    approach”, International Journal of mathematical Archive, 5(7),    2014, 27-33.

149.Avelin Diana A. , Sundarakantham K. , Mercy Shalinie S. ,    L.Rajendran, Analytical model for Binding Refresh Request to   reduce storage and communication overhead in MIPv6network,   International Journal of Network Management, 2014; 24:   402– 414.

150.T. Praveen, Pedro Valencia, L. Rajendran, Theoretical  analysis      of intrinsic Reaction kinetics and the behavior of    immobilized Enzymes system for steady-state conditions,     Biochemical Engineering Journal, 91,2014, pp. 129-139.

151.L. Rajendran, K. Saravanakumar, Analytical expression of   transient and steady-state catalytic current of mediated bioelectro  catalysis, ElectrochimicaActa, 147, 2014, pp 678-687.

152.V. Meena, K. Indira, Sunil Kumar, L. Rajendran, A new   Mathematical model for effectiveness factors in biofilm under toxic conditions, Alex andria Engineering  Journal ,53(2),2014,469-474.

153.M. Rasi, V. Ananthaswamy, L. Rajendran, Nonlinear Analysis of    Cholera Epidemics, Applied Mathematics, 4(1), 2014, pp 12-21.

154.Ondivillu Mothilal Kirthiga, Lakshmanan Rajendran,  mathematical Model of Cell Growth for Biofuel Production under    Synthetic tic Feedback, Natural Science, 2014, 6, 262-277.

155.Velmurugan Meena, Ondivillu Mothilal Kirthiga and Lakshmanan
Rajendran,Analytical Expression of Concentration of Substrate
in Biofilm Reactor using Adomian Decomposition Method , Anal. Bioanal. Electrochem., Vol. 6, No. 6, 2014, 713-732

In the year – 2015

156. M. Rasi, L. Rajendran, A. Subbiah, Analytical Expression of     Transient Current-Potential for Redox Enzymatic Homogenous  System, Sensors & Actuators: B. Chemical,208, 2015, pp 128-136.

157. K. Saravanakumar , L. Rajendran, M. V. Sangaranarayanan,      Current–potential response and Concentration profiles of   redoxpolymer-mediated  Enzyme catalysis in biofuel cells  – Estimation of Michaelis–Menten constants,
Chemical Physics Letters, 621,2015, 117–123

158. T. Praveen, L. Rajendran, Theoretical  analysis   through mathematical  modeling of two-phase flow transport  in an immobilized-cellphoto bioreactor, Chemical Physics Letters,    625,2015,193–201

159. K. Saravanakumar, S. P. Ganesan, L. Rajendran, Theoretical  analysis of Reaction and Diffusion  Processes in a Biofuel Cell Electrode, Fuel Cells, 15 (3),2015, 523-536

160. S. Pavithra, L. Rajendran, Analytical expressions for the     concentrations of dimethyl sulphide (DMS) in gas and liquid phase,  Molecular Enzymology and Drug Targets,1, 2015, No.1-5.

161. K. Saravanakumar, L. Rajendran, mathematical   analysis of an  Enzyme-entrapped conducting polymer modified electrode, Applied  mathematical Modelling, 39, (2015), 7351-7363.

162. O. M. Kirthiga, L. Rajendran , Approximate analytical solution  for Non-linear Reaction diffusion  equations in a mono-enzymatic  biosensor involving Michaelis–Menten,  Journal of   Electroanalytical Chemistry , 751, (2015) 119–127.

163. M. Rasi, L. Rajendran, Hydrogen Production by a Photosynthetic      Bacterium: Some Analytical Solutions, Chemical Engineering &   Technology, 38 (7) (2015) 1235–1242.

164. R. Sathya, M. Rasi, L. Rajendran, Non-linear analysis of Haldane  kinetic model in phenol degradation in batch operations, Kinetics   and Catalysis, 56 (2) (2015), 141-146.

165. M. Rasi, L. Rajendran, M. V. Sangaranarayanan, “Enzyme-      catalyzed oxygen reduction Reaction in biofuel cells: Analytical   expressions for chrono amperometric current densities”,     Journal of The Electrochemical Society, 162 (9) H1- H10 (2015).
166. R. Malini Devi, O. M. Kirthiga, L. Rajendran, Analytical  expression for the Concentration of Substrate  and product   in immobilized  Enzyme system in biofuel/ biosensor ,  Applied Mathematics , 2015, 6, 1148-1160.

167. Malinidevi Ramanathan, Rasi Muthuramalingam ,  Rajendran      Lakshmanan, The Mathematical  Theory of Diffusion  and Reaction in Enzymes Immoblized Artificial Membrane.  The Theory of the Non-Steady State,    J Membrane Biol.248(6),2015,1127-1135, DOI 10.  1007/s00232-015-9829-2.

168. Pavithra Sivakumar, Lakshmanan Rajendran, Approximate  Analytical Expression of Concentrations in a Kinetic Model   for Biogas Generation from Banana Waste , Applied  Mathematics,  2015, 5(1): 7-14, DOI: 0. 5923/j. am. 20150501. 02.

169. M. Renuga Devi, S. Sevukaperumal, L. Rajendran, Non-Linear    Reaction Diffusion Equation with Michaelis-Menten Kinetics and    Adomian decomposition method, Applied Mathematics 2015,    5(1): 21-32 DOI: 0. 5923/j. is. 20150501. 04.

170. Rasi Muthuramalingam, Sunil Kumar, Rajendran Lakshmanan,     Analytical expressions for the Concentration of nitric oxide removal    in the gas and biofilm phase in a biotrickling filter,  Journal of the    Association of Arab Universities for Basic and Applied Sciences,      18,2015,19-28

171. V. Meena, L. Rajendran, Sunil Kumar, P. G. Jansi Rani   Mathematical modeling of gas phase and biofilm phase Bio filter   performance.Egyptian Journal of Basic and Applied Sciences   3 (2015) 94–105.

In the year – 2016

172. V. Meenaa , T. Praveen , and L. Rajendran, mathematical  Modeling and  analysis of the Molar Concentrations of Ethanol,   Acetaldehyde and Ethyl Acetate Inside the Catalyst Particle. ISSN   00231584, Kinetics and Catalysis, 2016, Vol. 57, No. 1,   pp. 125–134.

173. Rasi Muthuramalingam  and  Rajendran Lakshmanan,    Theoretical analysis of the  Enzyme Reaction Processes  within the   Multiscale Porous Biocatalytic  Electrodes, ISSN 1023-1935,     Russian Journal of Electrochemistry , 2016, Vol. 52, No. 2, pp.  143–153.

174. SivasamyPavithra, Lakshmanan Rajendran, Raghavan Ashokan,     Approximate Analytical Expressions for the concentrations of    Acetate and Methane in the Microbial Electrochemical Cell,   Natural Science, 2016, 8, 196-210.

175. Saranya, J. , Rajendran, L. and Uma Maheswari.M, A  Theoretical Model  of pH-Based Potentiometric  biosensor  Based   on Immobilized Enzyme Membrane , American  Journal of   Analytical Chemistry , 2016, 7, 363-377

176. Kirthiga, M. and Rajendran, L , Removal of Dimethyl sulphide  in A Bench-Scale Biofilter: Some Analytical Solutions,   Asian Journal of Science and Technology, Vol. 07, Issue, 04,   pp. 2806- 2814, April, 2016

177. S. Pavithra1, L.Rajendran, R. Ashokan, Analytical solution of  the Non linear initial value problem in one-stage thermopile   bioremediation process for the treatment of cheese whey ,    Asian  Journal Of Current Engineering And Maths  5:4 July – August (2016) 44 – 51.

178. Mayathevar Renugadevi, Saminathan Sevukaperumal,  Lakshmanan Rajendran, The Approximate Analytical Solution  of Non-Linear Equation for Simultaneous Internal Mass and Heat  Diffusion Effects,  Natural Science, 2016, 8, 284-294.

179.O. M. Kirthiga, L. Rajendran Analytical Expression Pertaining     To The Concentrations Of Biomass, Sugar And Ethanol Production    From Wastewaters Of The Soft Drink Industries ,*  International Journal of  Modern Mathematical Sciences,  2016, 4(3): 352-364

180.KirthigaMurali,ChitraDeviMohan,MeenaAthimoolam,     RajendranLakshmanan,Mathematical modelling and kinetics    of micro channel reactor,AppliedandComputationalMathematics,    5(6) (2016), 234-246.

181. M. Kirthiga, M. ChitraDevi, L. Rajendran, M. Sivasankari,      Analytical solution of non-linear equation in multi-   phase micro channel bioreactors, International Journal    of Advanced Engineering Research and Science,3(9)(2016),      2456-1908.

182. M. SyedIbrahim, S. Pavithra, R. Saravanakumar, R. Ashokan,      L.Rajendran, Modelling of non-linear enzyme reaction process  using variational iteration method, International Journal  of Computational Engineering Research(IJCER), 6(8)(2016),      2250–3005.

183. R. MaliniDevi, S. Pavithra, R. Saravanakumar, L. Rajendran,  Analysis of nonlinear vibrations of single walled carbon nanotubes,  International Journal of Modern Engineering Research  (IJMER),6(11)(2016), 2249–6645.

184. J.Saranya,L.Rajendran,L.Wang,C.Fernandez,     A new mathematical modelling using homotopy perturbation    method to solve nonlinear equations in enzymatic glucose fuel cells, Chemical Physics Letters, 662(2016),317–326.

185. Pavithra Sivasamy, Jansi Rani Palaniyandi Ganapathy,   Iswarya Thinakaran and Rajendran Lakshmanan,Enzyme kinetic    modelling and analytical solution of non linear rate equation in the   transformation of d-methionineintol-methionin e in batch reactor   using the new homotopy perturbation method, Quim. Nova,39(10)    (2016), 1184-1191.

186.K.Indira,L.Rajendran, Analytical expression of the concentration   of reaction kinetics of carbondioxide with phenyl glycidyletherbytea-    cp-ms41 catalyst, International Journal Of Modern Engineering Research (IJMER),6(11) (2016), 14-23.

187. O.M.Kirthiga, M.Sivasankari, R.Vellaiammal,   L.Rajendran, Theoretical analysis of concentration of   lactosehydrolysis in a packed bed reactor using immobilized b-  galactosidase, A in Shams Engineering Journal (In press),       http://dx.doi.org/10.1016/j.asej.2016.10.007.

188.L. Rajendran,M. Kirthiga, E. Laborda, Mathematical modelling    of non linear reaction–diffusion processes in enzymatic bio fuel   cells,Current Opinion in Electrochemistry(In press),    http://dx. doi. org/10. 1016/j. coelec. (2016). 11. 003.

In the year – 2017
189. LinshanWang, YanShang, ChangshengLiu, CarlosFernandez,  L. Rajendran,  M. Kirthiga, Yu hong Wang,Dun Niu, Dong  dong Liu, The analysis and fabrication of a novel tin-nickel mixed   salt electrolytic coloring processing and the performance of colored   films foral-12.7si–0.7m galloyin acidic and alkali corrosive   environments, International Journal of Precision Engineering and   Manufacturing, 18 (2017), 93-98.

190. N. Mehala, L. Rajendran, V. Meena, Part- 2:Analytical   Expressions of Concentrations of Glucose, Oxygen, and Gluconic   Acidina Composite Membrane for Closed-Loop Insulin Delivery for  the Non-steady State Conditions, The Journal of Membrane    Biology, 250(1)(2017),89-101.

191.M.Kirthiga, L.Rajendran,C.Fernandez, Theoretical treatment of   diffusion and kinetics of osmiumredox polymer mediated glucose  oxidase enzyme electrodes: Analytical expression of current density    for varying potential, ElectrochimicaActa, 230 (2017), 89–97.

192. S. Pavithra, L. Rajendran, Sunil Kumar, Analytical relation   between the concentration of species at the electrode surface and   current for quasi-reversible reactions, Applied And Computational   Mathematics, 6(2) (2017), 83-87.

193. M. Syedibrahim, T. Iswarya, R. Ashokan, L. Rajendran,     Approximate analytical solution of non linear equation in     biological membrane using single parameter hpm,   International Journal of  Mathematical Archive, 8(6)(2017), 1-7.

194. M. Chitra Devi, L. Rajendran, Ammar Bin Yousaf, C. Fernandez, Non-Linear differential equations and rotating disc electrodes:padé approximationtechnique, Electrochimica Acta, 243 (2017), 1–6.

195.Krishnan Lakshmi Narayanan, VelmuruganMeena,  Lakshman Rajendran, JianqiangGao, SubbiahParathasarathy, Mathematical analysis of diffusion and kinetics ofimmobilized enzyme  systems that follow the Michaelis-menten mechanism, Applied And Computational Mathematics, 6(3) (2017), 143-160.

196. P.G. Jansi Rani, M. Kirthiga, Angela Molina, E.Laborda, L.Rajendran ,Analytical solution of the convection-diffusion equation for uniformly accessible rotating disk electrodes via the homotopy perturbation method,Journal of Electroanalytical Chemistry,799,  (2017), 175-180.

197. T. Iswarya, M.Suganyaveni, L.Rajendran, K.E.Sathappana, Analytical solutions of simultaneous linear differential equations in chemical kinetics and homotopy perturbation method, International Open Access Journal of Modern Engineering Research (Ijmer) 7(7) (2017), 55 -63.

198. K. P. V. Preethi, J. Visuvasam, T. Ishwarya , L. Rajendran, New approach of homotopy Perturbation method to solve the non-linear equation in biosensor, International Journal of Mathematical Archive (IJMA), 8(9), 2017, 1-13.

199. Joseph Femila Mercy Rani, Thinakaran Iswarya and Lakshmanan Rajendran, Mathematical model of catalytic processes at modified electrodes, Quim. Nova., 40(8), ( 2017), 880-884.

In the year – 2018

200. O. M. Kirthiga, L. Rajendran, Carlos Fernandez, Kinetic mechanism for modelling of electrochemical mediated enzyme reactions and determination of enzyme kinetics parameters, Russian Journal of Electrochemistry,  54,(2018),1-13.

201R. Angel Joy, J. Visuvasam, V. Rajendran, L. Rajendran, Theoretical analysis of flow of nanofluid over a stretching surface, International Journal of Mathematical Archive, 9(1), 2018, 95-112.

202. L. Rajendran, J. Femila Mercy Rani, V. Meena, S. Ganesan, Approximate analytical expressions of concentration of acetic acid and hydrogen peroxide in batch photo-fenton reaction, International Journal of Mathematical Archive, 9(1), 2018, 56-64.

203.D. Pandiaraja, L. Rajendran, M. Veeramuni Homotopy perturbation method for solving partial differential equations, International Journal of Mathematical Archive, 9 (1), 2018, 45-49.

204.J. Femila Mercy Rani, V. Meena, L. Rajendran, A New Approach of Solving the Nonlinear Equations in Biofiltration of Methane in a Closed Biofilter, Journal of Analytical & Bioanalytical Techniques,  9 (3), 2018, 1000405.

205 R. Karthikeyan, A.P. Dhanabalan, L. Rajendran,  Analytical Expression of Concentration        of Biomass and Contaminant in Biofilm Using Homotopy Perturbation Method and Variational Iteration Method, International Journal of Research 7, 2018, 284-298.

206.S. Pavithra, L. Rajendran,Mathematical Model of Coupled Transcription, Translation and Degradation, International Journal of Mathematical Archive ,9 (6), 119-128

207.R. Angel Joy, V. Rajendran, L. Rajendran, Reaction Diffusion Processes at Rotating Disk Elelctrode, International Journal of Research, 7 (9), 2018, 988-997.

208.K Saranya, V Mohan, R Kizek, C Fernandez, L. Rajendran, Unprecedented homotopy perturbation method for solving nonlinear equations in the enzymatic reaction of glucose in a spherical matrix, Bioprocess and biosystems engineering, 41, 2018.

209.T Iswarya, L. Rajendran, K.E Sathappan, Modelling of the Non-linear Biotransformation Process, International Journal of Mathematics And its Applications, 6 (1-C), 567-577.

210.L. Rajendran, MC Devi, C Fernandez, Q Peng, Mathematical modeling and simulation of nonlinear process in enzyme kinetics, Advanced Chemical Kinetics, 21, 2018.

211.S Saravanakumar, B Sridevi, A Eswari, L. Rajendran, Modelling the depletion of atmospheric fuzzy plankton-oxygen dynamics in a lake due to photosynthetic activity of ecosystem under Climate change, International Journal of Mathematics and Systems Science, 1 (2).

212.J Visuvasam, A Molina, E Laborda, L. Rajendran, Mathematical models of the infinite porous rotating disk electrode, International Journal of Electrochemical Science, 13 (10), 9999-10022.

213.OM Kirthiga, L. Rajendran, C Fernandez, Kinetic Mechanism for Modelling of Electrochemical Mediatedenzyme Reactions and Determination of Enzyme Kinetics Parameters, Russian Journal of Electrochemistry, 54(8SSs), 2018, S18-S31.

214.OM Kirthiga, M Sivasankari, R Vellaiammal, L. Rajendran, Theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase, Ain Shams Engineering Journal, 9 (4), 1507-1512.

In the year – 2019

  1. M. Kirthiga , S. Balamuruga, L. Rajendran, Modelling of reaction-diffusion process at carbon nanotube–Redox enzyme composite modified electrode biosensor, Chemical Physics Letters, 715, 2019, 20-28.
  2. M. Kannan, L. Rajendran, Analytical Expression of Concentration Profiles of Methane and Carbon Dioxide in Air Stream and Bio-Film Phase, Analytical & Bioanalytical Techniques, 7 (12), 2019, 660-675.
  3. T. Iswarya, L. Rajendran, KE. Sathappan, Mathematical Modeling of Biodegradation of Sulphide in Biogas by Biofilm on Salak Fruit Seeds, Pramana Research Journal, 9 (4), 2019, 128-142.
  4. M. Kirthiga , S. Balamuruga, L. Rajendran, Analysis of non-linear process of biodegradation and kinetics for the removal of toluene, biomass growth and carbon dioxide production, Pramana Research Journal, 9 (6), 2019, 793-811.
  5. R.Karthikeyan, A.P. Dhanabalan, M. Rasi, L. Rajendran, Mathematical Analysis of Dynamical Model of Microalgal Growth for Biofuel Production, International Journal of Emerging Technologies and Innovative Research, 4, 2019, 59-72.
  6. S. Saravanakumar, B. Sridevi, A. Eswari, L. Rajendran, Computational and mathematical analysis of fuzzy quota harvesting model in fuzzy environment using homotopy perturbation method, Applied Mathematics & Information Sciences,13 (S1), 2019, 239-245.
  7. L. Rajendran, C Fernandez, Kinetics of Enzymatic Synthesis, BoD–Books on Demand, 2019.
  8. R. Swaminathan, K.L. Narayanan, V. Mohan, K. Saranya, L. Rajendran, Reaction/diffusion equation with Michaelis-Menten kinetics in microdisk biosensor: Homotopy perturbation method approach, International Journal of Electrochemical Science, 14 (4), 2019, 3777-3791.
  9. R. Saravanakumar, P. Pirabaharan, L. Rajendran, The theory of steady state current for chronoamperometric and cyclic voltammetry on rotating disk electrodes for EC’and ECE reactions, Electrochimica Acta, 313, 2019, 441-456.
  10. M. Salai Mathi Selvi, L. Rajendran, Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems, Applied Mathematics and Nonlinear Sciences, 4 (2), 2019, 351-364.
  11. R Saravanakumar, P Pirabaharan, M Abukhaled, L. Rajendran, Theoretical analysis of voltammetry at a rotating disk electrode in the absence of supporting electrolyte, The Journal of Physical Chemistry B ,124 (3), 2019, 443-450.
  12. R. Swaminathan, K. Venugopal, M. Rasi, A. Marwan, L. Rajendran, Analytical expressions for the concentration and current in the reduction of hydrogen peroxide at a metal-dispersed conducting polymer film, Quimica Nova,  43(1), 2019, 58-65.

 

In the year – 2020

  1. M. Salai Mathi Selvi, R Seethalakshmi, L. Rajendran, An analytical solution for diffusion and nonlinear uptake of oxygen in a planar, cylindrical and spherical cell using wavelet method, Journal of Critical Reviews, 7 (19), 2020, 9729-9744.
  2. K. Saranya, T. Iswarya, V. Mohan, K.E. Sathappan, L. Rajendran, Mathematical modeling of Glucose, Insulin, β-Cell Mass: Homotopy Perturbation Method Approach, European Journal of Molecular & Clinical Medicine, 7(2), 2020, 3513-3530.
  3. S. Saravanakumar, A. Eswari, L. Rajendran, Marwan Abukhaled, A Mathematical Model of Risk Factors in HIV/AIDS Transmission Dynamics: Observational Study of Female Sexual Network in India, Applied Mathematics & Information Sciences, 14(6), 2020, 967-976.
  4. L Rajendran, R Swaminathan, M Chitra Devi, A Closer Look of Nonlinear Reaction – diffusion Equations, Nova Science, Publishers, 2020.
  5. S.T. Suganya, P. Balaganesan, L. Rajendran, Mathematical modelling of Bio electrochemical wastewater treatment using microbial fuel cells, International Journal of Advanced Science and Technology, 9, 2020, 376-380.
  6. P. Balaganesan, S. Thamizh Suganya L. Rajendran, Bone remodelling cycles using mathematical modelling including the NFκB signalling pathway, International Journal of Advanced Science and Technology, 29(3s), 2020, 21-30.
  7. K. Saranya, V. Mohan, L. Rajendran, Analytical Solution of the Non-Linear Equation in Biodegradation of N-Butanol in a Biofilter, American Journal of Analytical Chemistry, 11 (04), 2020, 172-186.
  8. M. Chitra Devi, P. Pirabaharan, L. Rajendran, Marwan Abukhaled, An efficient method for finding analytical expressions of substrate concentrations for different particles in an immobilized enzyme system, Reaction Kinetics, Mechanisms and Catalysis, 130, 2020, 35–53.
  9. K. Saranya, V. Mohan, L. Rajendran, Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by residual method, Journal of Mathematical Chemistry, 58(6), 2020 1230-1246.
  10. K. Nirmala, B. Manimegalai, L. Rajendran, Steady-State Substrate and Product Concentrations for Non-Michaelis-Menten Kinetics in an Amperometric Biosensor–Hyperbolic Function and PadéApproximants Method, International Journal of Electrochemical Sciences, 15, 2020, 5682-5697.
  11. P. Jeyabarathi, M. Kannan, L. Rajendran, Mathematical Modelling of a Biofilm-Based Microbial Fuel Cells Using Homotopy Perturbation Method, Mathematical Modelling, 6(6), 2020, 3332-3338.
  12. M.Chitra Devi, P. Pirabaharan, Marwan Abukhaled, L. Rajendran, Analysis of the steady-state behavior of pseudo-first-order EC-catalytic mechanism at a rotating disk electrode, Electrochimica Acta, 345, 2020, 136175.
  13. S. Thamizh Suganya, P. Balaganesan, L. Rajendran, Marwan Abukhaled, Analytical discussion and sensitivity analysis of parameters of magnetohydrodynamic free convective flow in an inclined plate, European Journal of Pure and Applied Mathematics, 13(3), 2020, 631-644.
  14. J. Visuvasam, A. Meena, L. Rajendran, New analytical method for solving nonlinear equation in rotating disk electrodes for second-order ECE reactions, Journal of Electroanalytical Chemistry, 869, 114106.
  15. R.Usha Rani, L. Rajendran, Taylor’s series method for solving the nonlinear reaction-diffusion equation in the electroactive polymer film, Chemical Physics Letters, 754, 2020, 137573.
  16. R.Joy Salomi, S.Vinolyn Sylvia, L. Rajendran, Marwan Abukhaled, Electric potential and surface oxygen ion density for planar, spherical and cylindrical metal oxide grains. Sensors and Actuators B: Chemical, 321, 2020, 128576.
  17. R. Swaminathan, K. Venugopal, P. Jeyabarathi, L. Rajendran, A Non-Linear Mathematical Model of Roll Motion of Ships with A Higherorder A Polynomial Of Righting Arm, Solid State Technology, 63(6), 2020, 2464-2473.
  18. R Umadevi, J Visuvasam, K Venugopal, L. Rajendran, Mathematical models for ECE reactions at rotating disk electrodes using homotopy analysis method, AIP Conference Proceedings, 2277(1), 2020, 130013.
  19. S Vinolyn Sylvia, R Joy Salomi, L. Rajendran, Mathematical modeling of hydrogen evolution at a rotating disk electrode, AIP Conference Proceedings, 2277(1), 2020, 130012.
  20. R Usha Rani, L. Rajendran, Approximate analytical solution of nonlinear equations in cubic auto-catalytic reaction-diffusion process, AIP Conference Proceedings 2277(1), 2020, 130006.
  21. M Salai Mathi Selvi, L. Rajendran, M Abukhaled, Analytical study and parameter-sensitivity analysis of catalytic current at a rotating disk electrode, Journal of Physics Communications, 4(10), 2020, 105017.
  22. S Vinolyn Sylvia, R Joy Salomi, L. Rajendran, M Abukhaled, Poisson–Boltzmann equation and electrostatic potential around macroions in colloidal plasmas: Taylor series approach, Solid State Technology 63(6), 2020, 10090-10106.
  23. K Nirmala, MC Devi, L Rajendran, Analysis of Steady-State Behavior of EC′ Catalytic Mechanism at Rotating Disk Electrode: Taylor Series Approach, European Journal of Molecular & Clinical Medicine, 7(11), 2020, 440-447.
  24. R Swaminathan, K Venugopal, M Rasi, M Abukhaled, L. Rajendran, Analytical expressions for the concentration and current in the reduction of hydrogen peroxide at a metal-dispersed conducting polymer film, Química Nova, 43(1), 2020, 58-65.
  25. K Saranya, Marwan Abukhaled, V. Mohan, L. Rajendran, Analytical Techniques for Obtaining Current and Concentration in Enzymatic Biofuel Cells for Various Enzymatic Scheme Advanced in chemical engineering, 2(1), 2020, 1-10.
  26. J. Visuvasam, A. Meena, R. Swaminathan, L Rajendran, Mathematical Modelling of Rotating Disc Electrodes and Nonlinear Diffusion Equations, Advances in Chemical Engineering, 2(3), 2020, 1-12.

In the year – 2021

  1. B Manimegalai, MEG Lyons, L. Rajendran, A kinetic model for amperometric immobilized enzymes at planar, cylindrical and spherical electrodes: The Akbari-Ganji method, Journal of Electroanalytical Chemistry, 880, 2021, 114921.
  2. LC Mary, RU Rani, A Meena, L. Rajendran, Nonlinear mass transfer at the electrodes with reversible homogeneous; reactions: Taylor’s series and hyperbolic function method, Int J Electrochem Sci, 16, 2021, 151037.
  3. J. Saranya, L. Rajendran, Mathematical model of steady-state countercurrent bed-shrinking reactor in dilute acid, Open Access Research Journal of Engineering and Technology, 01(02), 2021, 001–011.
  4. M.S.M. Selvi, L. Rajendran, M Abukhaled, Estimation of rolling motion of ship in random beam seas by efficient analytical and numerical approaches, Journal of Marine Science and Application, 20, 2021, 55-66.
  5. R Vanaja, S Padma, L Rajendran, Solving the system of nonlinear equations in vibrations of triple walled carbon nanotubes: Variational iteration method, Turkish Online Journal of Qualitative Inquiry, 12 (3), 2021, 4118-4128.
  6. S Padma, R Vanaja, L. Rajendran, Theoretical Model for the Control of Lassa Fever and Transmission Using Homotopy Perturbation Method, Turkish Online Journal of Qualitative Inquiry, 12 (3), 2021, 4172-4184.
  7. M. Kirthiga, M. Abukhaled, S. Balamurugan, L. Rajendran, Mathematical Modelling Of Continuous Ethanol Fermentation In A Membrane Bioreactor By Pervaporation Compared To Conventional System, Romanian Journal of Biophysics, 31 (2), 2021, 45-63.
  8. R.U. Rani, L. Rajendran, MEG Lyons, Steady-state current in product inhibition kinetics in an amperometric biosensor: Adomian decomposition and Taylor series method, Journal of Electroanalytical Chemistry, 886, 2021, 115103.
  9. SV Sylvia, RJ Salomi, MEG Lyons, L Rajendran, Transient Current of Catalytic Processes at Chemically Modified Electrodes, Int. J. Electrochem. Sci, 16, 2021.
  10. M. Kirthiga, B Solayappan, V James, L Rajendran, M Abukhaled, Theoretical Analysis of Single-Stage and Multi-Stage Monod Model of Landfill Degradation Through Mathematical Modelling, Current Biochemical Engineering, 7 (1), 2021, 48-62.
  11. J. Visuvasam, A. Meena, K. Nirmala, L Rajendran, Approximate Solution of Non-Linear Reaction-Diffusion in A Thin Membrane: Taylor Series Method, Turkish Journal of Computer and Mathematics Education,12 (1), 2021 586-594.
  12. RJ Salomi, SV Sylvia, L Rajendran, An Approximate Analytical Solution of Nonlinear Equations in N-Aminopiperidine Synthesis: New Approach of Homotopy Perturbation Method, Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12 (1S), 2021, (595-605).
  13. S Vinolyn Sylvia, R Joy Salomi, L Rajendran, M Abukhaled, Solving nonlinear reaction–diffusion problem in electrostatic interaction with reaction-generated pH change on the kinetics of immobilized enzyme systems using Taylor series method, Journal of Mathematical Chemistry, 59, 2021, 1332-1347.
  14. MC Devi, P Pirabaharan, MEG Lyons, L Rajendran, Investigation of the Diffusion Impedance for an Irreversible Redox Reaction, International Journal of Electrochemical Science, 16 (6), 2021, 210639.
  15. R Swaminathan, R Saravanakumar, K Venugopal, L Rajendran, Analytical solution of nonlinear problems in homogeneous reactions occur in the mass-transfer boundary layer: Homotopy Perturbation Method, International Journal of Electrochemical Science, 16 (6), 2021, 210644.
  16. RU Rani, L Rajendran, Diffusion indicator for hemispheroidal and ring ultramicroelectrode geometries for E and ECʹ reactions, Electrochemistry Communications, 128, 2021, 107071.
  17. M Chitra Devi, P Pirabaharan, L Rajendran, M Abukhaled, Amperometric biosensors in an uncompetitive inhibition processes: a complete theoretical and numerical analysis, Reaction Kinetics, Mechanisms and Catalysis, 133 (2), 2021, 655-668.
  18. RJ Salomi, SV Sylvia, M Abukhaled, L Rajendran, Kinetics of the catalytic combustion of ethanol and ethyl acetate with estimation of activation energy and rate constants: An analytical study, Current Catalysis, 10 (2), 2021, 108-118.
  19. R Usha Rani, L Rajendran, M Abukhaled, Approximations for the Concentration and Effectiveness Factor in Porous Catalysts of Arbitrary Shape: Taylor Series and Akbari-Ganji’s Methods, Mathematical Modelling of Engineering Problems, 8 (4), 2021, 527-537.

272.RJ Salomi, SV Sylvia, L Rajendran, MEG Lyons, Transient current, sensitivity and resistance              of  biosensors acting in a trigger mode: Theoretical study, Journal of Electroanalytical                      Chemistry, 895, 2021, 115421.

  1. R Swaminathan, MC Devi, L Rajendran, K Venugopal, Sensitivity and resistance of amperometric biosensors in substrate inhibition processes, Journal of Electroanalytical Chemistry, 895, 2021, 115527.
  2. B Manimegalai, L Rajendran, MEG Lyons, Theory of the transient current response for the homogeneous mediated enzyme catalytic mechanism at the rotating disc electrode, Int. J. Electrochem. Sci, 16, 2021, 210946.
  3. P Jeyabarathi, M Kannan, L Rajendran, Approximate Analytical Solutions of Biofilm Reactor Problem in Applied Biotechnology, Theoretical Foundations of Chemical Engineering, 55, 2021, 851-861.
  4. M Lilly Clarance Mary, M Chitra Devi, A Meena, L Rajendran, A reliable Taylor series solution to the nonlinear reaction-diffusion model representing the steady-state behaviour of a cationic glucose-sensitive membrane, J. Math. Comput. Sci. 11 (6), 2021, 8354-8381.
  5. MLC Mary, MC Devi, A Meena, L Rajendran, M Abukhaled, Mathematical modeling of immobilized enzyme in porous planar, cylindrical, and spherical particle: a reliable semi-analytical approach, Reaction Kinetics, Mechanisms and Catalysis, 134, 2021, 641-651
  6. B Manimegalai, MEG Lyons, L Rajendran, Transient chronoamperometric current at rotating disc electrode for second-order ECE reactions, Journal of Electroanalytical Chemistry, 902, 2021, 115775.

In the year – 2022

  1. R Umadevi, K Venugopal, P Jeyabarathi, L Rajendran, M Abukhaled, Analytical study of nonlinear roll motion of ships: a homotopy perturbation approach, Palestine Journal of Mathematics, 11(1), 2022.
  2. V Sylvia, RJ Salomi, L Rajendran, MEG Lyons, Theoretical and numerical analysis of nonlinear processes in amperometric enzyme electrodes with cyclic substrate conversion,Electrochem, 3 (1), 2022, 70-88.
  3. ST Suganya, L Rajendran, MEG Lyons, Analytical Expression of Concentrations and Current in Enzyme-Based Two-Compartment Model of Amperometric Biosensors for Steady-State Condition, International Journal of Electrochemical Science, 17 (2), 2022, 220238.
  4. R Vanaja, P Jeyabarathi, L Rajendran, MEG Lyons, The Analytical Expression of Steady-State Concentration of Mixture of Toluene and N-Propanol in the Biofilm: Akbari-Ganji’s method,International Journal of Electrochemical Science, 17 (3), 2022, 220337.
  5. S Padma, P Jeyabarathi, L Rajendran, MEG Lyons, The Steady-State Concentration of the Species in a Reagentless Enzyme-Containing Polymer Modified Electrode Using Akbari-Ganji’s method, International Journal of Electrochemical Science, 17 (3), 2022, 220336.
  6. R Shanthi, MC Devi, M Abukhaled, MEG Lyons, L Rajendran, Mathematical modeling of pH-based potentiometric biosensor using Akbari-Ganji method, International Journal of Electrochemical Science, 17(3), 2022, 220349.
  7. P Jeyabarathi, L Rajendran, MEG Lyons, Reaction-diffusion in a packed-bed reactors: Enzymatic isomerization with Michaelis-Menten Kinetics, Journal of Electroanalytical Chemistry, 910, 2022, 116184.
  8. SAS Sivasundari, RU Rani, MEG Lyons, L Rajendran, Transport and Kinetics in Biofiltration Membranes: New Analytical Expressions for Concentration Profiles of Hydrophilic and Hydrophobic VOCs Using Taylor’s Series and Akbari, International Journal of Electrochemical Science, 17(4), 2022,220447.
  9. R Shanthi, T Iswarya, J Visuvasam, L Rajendran, MEG Lyons, Voltammetric and mathematical analysis of adsorption of enzymes at rotating disk electrode, International Journal of Electrochemical Science, 17(4), 2022, 220433.
  10. RJ Salomi, SV Sylvia, M Abukhaled, MEG Lyons, L Rajendran, Theoretical analysis of transient responses of amperometric biosensor based on the phenol–polyphenol oxidase model, International Journal of Electrochemical Science, 17(4), 2022, 22047.
  11. R Vanaja, P Jeyabarathi, L Rajendran, MEG Lyons, Mathematical modeling of substrate consumption in a biofilm: Solutions arrived using Akbari-Ganji method, International Journal of Electrochemical Science, 17(5), 2022, 220569.
  12. R Umadevi, MC Devi, K Venugopal, L Rajendran, MEG Lyons, Theoretical analysis of reaction-diffusion process in biocatalyst modified electrodes: Solutions derived via Akbari-Ganji method and Taylor’s series with Ancient Chinese algorithms, International Journal of Electrochemical Science, 17(5), 2022, 220560.
  13. R Saravanakumar, P Pirabaharan, L Rajendran, Transport and kinetics in an electroenzymatic process incurred in PPO-based rotating disk bioelectrodes, Journal of Electroanalytical Chemistry 913, 2022, 116293.
  14. SV Sylvia, RJ Salomi, L Rajendran, MEG Lyons, Amperometric biosensors and coupled enzyme nonlinear reactions processes: A complete theoretical and numerical approach, Electrochimica Acta, 415, 2022, 140236.
  15. KL Narayanan, R Shanthi, RU Rani, MEG Lyons, L Rajendran, Mathematical modelling of forced convection in a porous medium for a general geometry: Solution of thermal energy equation via Taylor’s series with Ying Buzu algorithms, International Journal of Electrochemical Science, 17 (6), 2022, 220623.
  16. S Padma, N Mehala, A Eswari, MEG Lyons, B Manimegalai, L Rajendran, Mathematical Analysis for Electron Transfer Mediator/Heterogeneous Catalyst Composites in Polymer Modified Electrodes, International Journal of Electrochemical Science, 17(6), 2022, 220649.
  17. MLC Mary, R Saravanakumar, D Lakshmanaraj, L Rajendran, MEG Lyons, Mathematical modelling of unsteady flow of gas in a semi-infinite porous medium, International Journal of Electrochemical Science, 17(6), 2022, 220619.
  18. P Pirabaharan, MC Devi, R Swaminathan, L Rajendran, MEG Lyons, Modelling the current response and sensitivity of oxidase enzyme electrodes, Monitored Amperometrically by the Consumption of Oxygen, Electrochem, 3(2), 2022, 309-321.
  19. B Manimegalai, R Swaminathan, MEG Lyons, L Rajendran, Application of Taylor’s series with Ying Buzu Shu algorithm for the nonlinear problem in amperometric biosensors, International Journal of Electrochemical Science, 17(2), 2022, 22074.
  20. R Umadevi, P Jeyabarathi, K Venugopal, MEG Lyons, L Rajendran, Modelling of Biotrickling Filters for Treatment of NOx Analytical Expressions for the NOx Concentration in Both Gas and Biofilm Phases, Electrochem, 3(3), 2022, 361-378.
  21. Iswarya Thinakaran, S Rajagopal, K Murali, L Rajendran, M Abukhaled, Transport and Reaction Kinetics in Enzymatic Reaction Process in Multiscale Porous Biocatalytic Electrodes, Chemistry Africa, 5(4), 2022, 1027-1035.
  22. P Jeyabarathi, L Rajendran, M Abukhaled, M Kannan, Semi-analytical expressions for the concentrations and effectiveness factor for the three general catalyst shapes, Reaction Kinetics, Mechanisms and Catalysis, 135 (4), 1739-1754.
  23. RJ Salomi, L Rajendran, Cyclic voltammetric response of homogeneous catalysis of electrochemical reactions: Part 1. A theoretical and numerical approach for EE’C scheme, Journal of Electroanalytical Chemistry, 918, 116429.
  24. SV Sylvia, L Rajendran, Cyclic voltammetric response of homogeneous catalysis of electrochemical reactions: Part 2. A theoretical and numerical approach for EC scheme, Journal of Electroanalytical Chemistry, 918, 116453.
  25. SAS Sivasundari, R Senthamarai, MC Devi, L Rajendran, MEG Lyons, Modelling of Irreversible Homogeneous Reaction on Finite Diffusion Layers, Electrochem, 3(3), 2022, 479-491.
  26. SAS Sivasundari, B Manimegalai, L Rajendran, MEG Lyons, Modeling of Enzyme Adsorption and Surface Enzyme Reaction Kinetics in Biopolymer Microarrays, International Journal of Electrochemical Science, 17(9), 2022, 220944.
  27. P Jeyabarathi, L Rajendran, M Abukhaled, MEG Lyons, M Kannan, Steady-State Catalytic Current of Bioelectrocatalysis Using Akbari-Ganji’s Method, International Journal of Electrochemical Science, 17(9), 2022, 22093.
  28. B Manimegalai, L Rajendran, Cyclic voltammetric response of homogeneous catalysis of electrochemical reaction. Part 3: A theoretical and numerical approach for one-electron twostep reaction scheme, Journal of Electroanalytical Chemistry, 922(4), 2022, 116706.
  29. KL Narayanan, J Kavitha, RU Rani, MEG Lyons, L Rajendran, Mathematical modelling of amperometric glucose biosensor based on immobilized enzymes: new approach of taylors series method, International Journal of Electrochemical Science ,17(2), 2022, 221064.
  30. P Jeyabarathi, L Rajendran, MEG Lyons, M Abukhaled, Theoretical Analysis of Mass Transfer Behavior in Fixed-Bed Electrochemical Reactors: Akbari-Ganji’s Method, Electrochem, 3 (4), 2022, 699-712.
  31. M Sivakumar, R Senthamarai, L Rajendran, MEG Lyons, Reaction and Kinetic Studies of Immobilized Enzyme Systems: Part-I Without External Mass Transfer Resistance, International Journal of Electrochemical Science, 17(11), 2022, 221159.
  32. J Saranya, L Rajendran, MU Maheswari, Kinetic Behavior of Enzymes Immobilized Membranes in Potentiometric Biosensor: Homotopy Perturbation Method, Current Topics on Chemistry and Biochemistry, 6, 2022, 1-24.
  33. J Saranya, L Rajendran, K Bhuvaneswari, Approximate analytical solutions of non-linear differential equations in enzyme inactivation kinetics using variational iteration method, AIP Conference Proceedings, 2516(1), 2022.
  34. R Swaminathan, B Manimegalai, K Venugopal, L Rajendran, Homotopy perturbation method and variational iteration method for solving the nonlinear equations with variable coefficients in applied sciences, AIP Conference Proceedings, 2516(1), 2022.
  35. J Saranya, RU Rani, MEG Lyons, M Abukhaled, L Rajendran, Analytical expressions for steady-state current and estimation of kinetic parameters in an amperometric biosensor with the product inhibition: Power series method, AIP Conference Proceedings, 2516(1), 2022.
  36. RJ Salomi, L Rajendran, Analytical expression of substrate concentration in biofilm reactor using Taylor series method, AIP Conference Proceedings, 2516(1), 2022.
  37. SV Sylvia, L Rajendran, Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solution by Taylor series method, AIP Conference Proceedings, 2516(1), 2022.
  38. ST Suganya, J Visuvasam, L Rajendran, Results on control of bio-electrochemical models in microbial fuel cells, AIP Conference Proceedings, 2516(1), 2022.
  39. S Rekha, RU Rani, L Rajendran, MEG Lyons, A New Method to Study the Nonlinear Reaction-Diffusion Process in the Electroactive Polymer Film using Hyperbolic Function Method, International Journal of Electrochemical Science, 17(12), 2022, 221261.
  40. J Saranya, P Jeyabarathi, L Rajendran, MEG Lyons, Modelling and Simulation of Microbial Activity in Stratified and Homogeneous Biofilms: Hyperbolic Function Method, International Journal of Electrochemical Science, 17(12), 2022, 221277.

In the year – 2023

  1. R Joy Salomi, S Vinolyn Sylvia, L Rajendran, Transport and kinetic analysis of amperometric response towards PPO-based rotating disk bioelectrodes, Journal of Electroanalytical Chemistry, 928, 2023, 117067.
  2. P. Pirabaharan, M. Chitra Devi, L Rajendran, Analytical expression of transient catalytic current for EC’ mechanism using Danckwerts’ expression or Laplace transform, Results in Chemistry, 5, 2023, 100940.
  3. SAS Sivasundari, P Jeyabarathi, L Rajendran, Theoretical Analysis of Nonlinear Equation in Reaction-Diffusion System: Hyperbolic Function Method, European Journal of Mathematics and Statistics, 4(1), 2023, 24-31.
  4. M. Rajaram, U.M. Mariappan, J. Visuvasam, A. Meena, L. Rajendran, MEG Lyons, Modeling glucose isomerization in a packed-bed reactor: A complete theoretical and numerical approach, International Journal of Electrochemical Science, 18(3), 2023, 100023.
  5. V Silambuselvi, S Rekha, RU Rani, L Rajendran, K Angaleeswari, MEG Lyons, Theoretical analysis of amperometric response towards PPO-based rotating disk bioelectrodes: Taylors series and hyperbolic function method, International Journal of Electrochemical Science, 18(4), 2023, 100083.
  6. A Reena, SG Karpagavalli, L Rajendran, B Manimegalai, R Swaminathan, Theoretical analysis of putrescine enzymatic biosensor with optical oxygen transducer in sensitive layer using Akbari–Ganji method, International Journal of Electrochemical Science, 18(5), 2023, 100113.
  7. SV Sylvia, RJ Salomi, L Rajendran, Mathematical modelling of enzymatic glucose fuel cell and numerical validation, Journal of Electroanalytical Chemistry, 936, 2023,117382.
  8. RU Rani, L Rajendran, M Abukhaled, Theoretical analysis of homogeneous catalysis of electrochemical reactions: steady-state current–potential, Reaction Kinetics, Mechanisms and Catalysis, 136, 2023,1229-1242.
  9. B Manimegalai, R Swaminathan, MEG Lyons, L Rajendran, Homogeneous Catalysis of Electrochemical Reactions: The Steady-State Current and Turnover Frequency, The Journal of Physical Chemistry C, 127(24), 2023, 11517–11525.
  10. R Vanaja, P Jeyabarathi, L Rajendran, MEG Lyons, Theory for Electrochemical Heat Sources and Exothermic Explosions: The Akbari–Ganji Method, Electrochem, 4(3), 2023, 424-434.
  11. P Jeyabarathi, M Abukhaled, M Kannan, L Rajendran, MEG Lyons, New Analytical Expressions of Concentrations in Packed Bed Immobilized-Cell Electrochemical Photobioreactor, Electrochem 4(4), 2023, 447-459.
  12. MEG Lyons, RJ Salomi, L Rajendran, Formal analysis of isothermal reaction/diffusion in a defined general geometry, International Journal of Electrochemical Science, 18(10), 2023, 100296.
  13. G Yokeswari, G Balaji, KL Narayanan, S Krishnakumar, L Rajendran, Theoretical understanding of reaction and kinetics in the reduction of the bromate anion to bromine on a rotating disk electrode, International Journal of Electrochemical Science, 18(12), 2023, 100366.
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