Area of Research
Theoretical models of electrochemical processes give information about the mechanism and kinetics of reactions. Thus the information gained from modelling can be used in design, optimization and prediction of the electrode’s response.
The Rajendran Group has interests ranging from fundamental electrochemistry (theory of electron transfer and of mass transport) to making chemical sensors; Current work also focuses on electrochemistry in biosensors, and enzyme electrodes. We adopt a bottom-up approach developing new analytical methods to investigate the kinetics and mechanisms of interfacial reactions.
Topics of current and recent research
- Differential Equations
- Linear and Non linear Partial Differential Equation
- Mathematical Modelling
- Approximation Techniques
- Perturbation Techniques
- Numerical and Mathematical Analysis
- Computational Mathematics
- Fundamental Theoretical Electrochemistry
- Computational Electrochemistry and Simulation
- Electroanalysis
- Micro electrodes
- Bio-sensors
- Enzyme Kinetics
- Computational and Mathematical Simulation
Project details
|
S.No |
Project Title |
Funding agency |
Duration |
Sanctioned amount (in Lakhs) |
|
1 |
Modelling of non-linear reaction diffusion processes at modified electrodes (SR/SI/PC-18/2004) |
DST |
2005-2008 |
6.42 |
|
2 |
Mathematical Modelling and analysis of enzyme substrate reaction diffusions in some biochemical systems(Ref: SR/SI/PC-49/2008) |
DST |
2009-2012 |
21 |
|
3 |
Mathematical, Theoretical and Computational Modeling of biosensors: Modeling for enzyme- substrate interaction and biomolecular interaction (Ref: No. 01(2442)/10/EME-II) |
CSIR |
2011-2013 |
10 |
|
4 |
Solution of system of coupled nonlinear differential equations in boundary value problem(F. No. 39-58/2010 (SR)) |
UGC |
2011-2013 |
12 |
| 5 |
Mathematical modeling of non-linear reaction-diffusion processes and optimization of enzymatic biofuel cells |
DST |
2013-2015 |
30 |
| 6 |
Modeling of Non-Linear Convection-Diffusion Processes in Hydrodynamic Electrodes |
DST-SERB |
2016-2020 |
13 |
Books/ Chapters Published
|
S. No |
Chapter Title |
Author’s Name |
Book Title |
Publisher |
Year of Publications |
|
1 |
Mathematical modeling of biosensors:Enzyme- substrate interaction and Biomolecular interaction. DOI: 10.5772/19513 |
L. Rajendran |
New Perspectives in Biosensors Technology and Applications |
Edited by Pier Andrea Serra Publisher: InTech, ISBN 978-953-307-448-1. |
2011 |
|
2 |
Analytical solution of cubic auto catalytic reaction diffusion equation: Homotopy pertuburation method. DOI: 10.4018/978-1-60960-860-6.ch009 |
D.Shanthi, L.Rajendran |
Advanced method and application in chemoinformatics; Reseaerch Progress and New Applicatios |
IGI Global |
2011 |
|
3 |
Biosensor: Modeling and Simulation of Diffusion – Limited Process. ISBN: 9781606505984 |
L.Rajendran |
Chemical Sensors: Simulation and Modeling |
GhenadiiKorotcenkov (Ed.), Electrochemical Sensors, Vol. 5, Momentum Press, LLC, New York |
2013 |
|
4 |
Mathematical Modeling in Microelectrodes, |
L. Rajendran |
Mathematical Modelling |
Christopher R. Brennan, NOVA publishers, ISBN:978-1-61209-651-3 |
2013 |
|
5 |
Engineering Mathematics–I, Engineering Mathematics–II |
L. Rajendran |
Engineering Mathematics–I Engineering Mathematics–II |
Department of Mathematics, Sethu Institute of Technology |
2016 |
|
6 |
Mathematical Modeling and Simulation of Nonlinear Process in Enzyme Kinetics. DOI:10.5772/intechopen.70914 |
Lakshmanan Rajendran, Mohan Chitra Devi, Carlos Fernandez and Qiuming Peng |
Advanced Chemical Kinetics |
INTECH
|
2018 |
|
7 |
Analytical Techniques for Obtaining Current and Concentration in Enzymatic Biofuel Cells for Various Enzymatic Scheme ISBN : 978-93-87500-1-6GET848 N.8910USA. |
K. Saranya, Marwan Abukhaled, V. Mohan, L. Rajendran |
Advances in Chemical Engineering |
GET IN TOUCH, 848 N. Rainbow Blvd, #5486, Las Vegas, NV 89107, USA. info@openaccessebooks.com |
2019 |
|
8 |
All chapters Doi: |
Lakshmanan Rajendran Carlos Fernandez
|
Kinetics of Enzymatic Synthesis
|
IntechOpen Limited |
2019 |
|
9 |
Mathematical Modelling of Rotating Disc Electrodes and Nonlinear Diffusion Equations ISBN: 978-93-87500-71-6 |
J. Visuvasam, A. Meena, R. Swaminathan, L. Rajendran |
Advances in Chemical Engineering |
GET IN TOUCH, 848 N. Rainbow Blvd, #5486, Las Vegas, NV 89107, USA. info@openaccessebooks.com |
2020 |
|
10 |
All Chapters |
L. Rajendran, R. Swaminathan, M. Chithra Devi |
A closer look at a nonlinear reaction diffusion equation |
NOVA publishers, ISBN:978-1-53618-2576-6 |
2020 |
Sponsored National conferences
- Mathematical computational and Theoretical Chemistry ( 28th and 29th March 2010): Funding Agency: DST, INDIA; Total Cost: Rs. 1 lakhs.
- Mathematical modeling and application to mathematical physical and chemical sciences (20th and 21th January 2011) , Funding Agency: CSIR , INDIA; Total Cost: Rs. 50 thousand.
- Mathematical models and methods (1st & 2nd 2012) Funding Agency: UGC & DST, INDIA; Total Cost: Rs. 1 lakh and 50 thousand.
- Advances and Applications in Mathematical Modeling (15th and 16th April 2013), Funding Agency: DST & CSIR, INDIA; Total Cost: 1 lakh and 25 thousand.
- Recent Development in Mathematics and Its Applications (9th January 2015), Funding Agency: DST; Total Cost: 50 thousand.
Details of Research Scholars
| S.No |
Name of the Student |
Title |
University |
Status |
| 1. | G.Rahamathunissa | Contribution to modeling of non-linear reaction diffusion equation |
Alagappa University Karaikudi |
Awarded |
| 2. | R. Senthamarai | Modelling of non-linear reaction-diffusion processes at modified electrodes |
Alagappa University Karaikudi |
Awarded |
| 3. | A. Meena | Mathematical Analysis of linear and non linear reaction diffusion systems |
Madurai Kamaraj University Madurai |
Awarded |
| 4. | A. Eswari | Linear and non-linear system of equations |
Manonmaniyam sundaranar university Tirunelveli |
Awarded |
| 5. | G.Varadharajan |
Mathematical analysis of chemical and biochemical problems |
Madurai Kamaraj University Madurai |
Awarded |
| 6. | K. Venugopal | Mathematical analysis of chemical and biochemical system |
Manonmaniyam sundaranar university Tirunelveli |
Awarded |
| 7. | V. Ananthaswamy | Some Boundary Value Problems in Reaction-Diffusion Processes |
Madurai Kamaraj University Madurai |
Awarded |
| 8. | S. Anitha | Analytical and numerical methods for solving mixed boundary value problems |
Manonmaniyam sundaranar university Tirunelveli |
Awarded |
| 9. | M. Uma Maheswari
|
Iterative solution of system of non-linear boundary value problems |
Madurai Kamaraj University Madurai |
Awarded |
| 10. | M.K.Sivasankari | Analytical and numerical solution of parabolic problems in physical sciences |
Madurai Kamaraj University Madurai |
Awarded |
| 11. | SeemaVelankar | A study of new generalized closed sets in generalized topology |
Madurai Kamaraj University Madurai |
Awarded |
| 12. | C.Thangapandi | Mathematical modeling of boundary value problems in physical and chemical sciences |
Madurai Kamaraj University Madurai |
Awarded |
| 13. | S.Sevuka Perumal | Boundary value problems in Bio-chemical systems |
Manonmaniyam sundaranar university Tirunelveli |
Awarded |
| 14. | S.Muthukarupan
|
Mathematical modeling of initial boundary value problems at physical science |
Manonmaniyam sundaranar university Tirunelveli |
Awarded |
| 15. | V. Margret Ponrani | Quantitative analysis and mathematical modeling in physical sciences |
Manonmaniyam sundaranar university Tirunelveli |
Awarded |
| 16. | S. Loghambal | Analysis of Mathematical models based on differential equations and asymptotic approximation |
Manonmaniyam sundaranar university Tirunelveli |
Awarded |
| 17. | K. Indira | Analytical solution of nonlinear electrochemical reaction-diffusion equations |
Manonmaniyam sundaranar university Tirunelveli |
Awarded |
| 18. | S.Usha | Reaction of diffusion equation arising in mathematical chemistry |
Manonmaniyam sundaranar university Tirunelveli |
Awarded |
| 19. | P. Manimozhi | Boundary value problems and iteration methods |
Alagappa University |
Awarded |
| 20. | A. Anitha | Mathematical modeling and analysis of non-linear equations in chemical sciences | Alagappa University
Karaikudi |
Awarded |
| 21. | D. Shanthi | Asymptotic methods for solving non-linear problems |
Madurai Kamaraj University
Madurai
|
Awarded |
| 22. | S.Muthukumar | Initial and boundary value problems in bio-chemical system |
Madurai Kamaraj University Madurai |
Awarded |
| 23. | O. M. Kirthiga |
Solution for anomalous diffusion equation with various nonlinear source term
|
Madurai Kamaraj University Madurai |
Awarded |
| 24. | SP. Ganesan | The Solution of initial boundary value problem on biochemical system |
Bharathiar university Coimbatore |
Awarded |
| 25. | K. Saravanakumar | Differential equations with boundary value problems |
Madurai Kamaraj University Madurai |
Awarded |
| 26. | T. Praveen | Mathematical Modeling of Chemical systems |
Madurai Kamaraj University Madurai |
Awarded |
| 27. | V. Meena | Solution of non-linear initial boundary value problems |
Bharathiar university Coimbatore |
Awarded |
| 28. | M. Rasi | Electro-Reaction-Diffusion model of electrochemical systems |
Madurai Kamaraj University
Madurai |
Awarded |
| 29. | S. Pavithra | Analytical solutions of nonlinear boundary value problems |
Madurai Kamaraj University
Madurai |
Awarded |
| 30. | J. Xavier Adaikalaraj | Mathematical modeling in medicine and biology |
Madurai Kamaraj University
Madurai |
Awarded |
| 31. | M. Renuga Devi | Nonlinear reaction diffusion process in physical chemistry |
Madurai Kamaraj University
Madurai |
Awarded |
| 32. | N. Mehala | Analysis of non-linear chemical reaction system |
Madurai Kamaraj University
Madurai
|
Awarded |
| 33. | J. Femila Mercy Rani | Mathematical modeling using non-linear differential equations |
Bharathiar university Coimbatore |
Awarded |
| 34. | R. Malini Devi | Asymptotic methods for solving nonlinear reaction diffusion problems in chemical sciences. |
Bharathiar university Coimbatore |
Awarded |
| 35. | J. Saranya | Approximate analytical solutions of non-linear differential equations in chemical sciences using asymptotic methods |
Mother Teresa Women’s University
Kodaikanal |
Awarded |
| 36. | K. Saranya | Mathematical analysis of nonlinear reaction diffusion processing in chemical sciences | Thiagarajar College of Engineering
Madurai |
Awarded |
| 37 | R. Saravanakumar | Analysis of nonlinear reaction processes in physical chemistry | Anna University College of Engineering
Dindigul |
Awarded |
| 38 | M. Chitra Devi | Analysis of Nonlinear Differential equations in Rotating Disc Electrode |
Anna University College of Engineering
Dindigul
|
Awarded |
| 39 | J. Visuvasam | Mathematical modeling of nonlinear differential equations |
Madurai Kamaraj
University
Madurai
|
Awarded |
| 40 | Salai Mathi Selvi | Roll motion of Ships | Academy of Maritime Education and Training (AMET), Deemed to be University
Chennai |
Awarded |
| 41 | R. Usha Rani | Analytical and numerical solution of nonlinear differential equations arising in Physical and Chemical Sciences | Academy of Maritime Education and Training (AMET), Deemed to be University
Chennai |
Awarded |
| 42 | R.Vanaja | Some asymptotic methods for strongly non- linear equations | Academy of Maritime Education and Training (AMET), Deemed to be University
Chennai |
Awarded |
| 43 | S. Vinolyn Sylvia | Asymptotic methods of strongly nonlinear differential equations | Academy of Maritime Education and Training (AMET), Deemed to be University
Chennai |
Awarded |
| 44 | R. Joy Salomi | Mathematical modeling and nonlinear chemical processes | Academy of Maritime Education and Training (AMET), Deemed to be University
Chennai |
Awarded |
| 45 | S. Padma | Non- linear reaction diffusion processes in electro chemical sciences | Academy of Maritime Education and Training (AMET), Deemed to be University
Chennai |
Awarded |
| 46 | R. Shanthi | Some Asymptotic Methods for Strongly Nonlinear Equations | Academy of Maritime Education and Training (AMET), Deemed to be University
Chennai |
Awarded |
| 47 | B. Manimegalai | Analytical and Numerical Solution for Differential Nonlinear and Coupled Equations in Chemical Science | Academy of Maritime Education and Training (AMET), Deemed to be University
Chennai |
Awarded |
| 48 | Salai Sivasundhari | Mathematical analysis of nonlinear reaction diffusion process in bio-chemical system | Academy of Maritime Education and Training (AMET), Deemed to be University
Chennai |
Doing Ph.D |