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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. 
   34. S. Loghambal,  L. Rajendran,   Mathematical   modeling  of 
          diffusion  and   kinetics   of    amperometric    immobilized    
          enzyme   electrodes,  Electrochimica Acta, 55 (2010) 5230-
   35. 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. 
   36. 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. 
   37. 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. 
  38. 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. 
  39. A. Eswari, L. Rajendran,  Analytical solution of steady state  
        current  an    enzyme    modified    microcylinder    electrodes ,   
        Journal  of Electroanalytical   Chemistry,  648   (2010) 36-46. 
   40. 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.
   41. 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.
   42. A. Meena,  L. Rajendran,  Analysis  of  pH - Based 
         Potentiometric Biosensor    using   Homotopy   perturbation    
         method, Chemical Engineering  &  Technology, 33(2010) 1-10.
   43. 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.
  44. 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.
 45. 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
In the year – 2011
  46.  A. Eswari,    L. Rajendran,    Mathematical    Modeling    of     
        Cyclic  voltammetry for EC reaction, Russian Journal of  
         Electrochemistry,  47(2) (2011) 181-190. 
  47. A. Eswari,   L. Rajendran,     Mathematical    Modeling    of    
        Cyclic voltammetry for EC reaction, Russian Journal of  
        Electrochemistry,  47(2) (2011) 191-199.
  48. A. Meena, L. Rajendran, Analytical  solution  of  nonlinear  
        diffusion  processes    in     modified     electrode,      Russian    

        Journal   of  Electrochemistry, 47(2) (2011) 147-155. 
  49. 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  
  50. 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.
  51. 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.  
   52. S. Loghambal, L. Rajendran, Mathematical modeling in 
        amperometric oxidase enzyme-membrane electrodes, Journal
        of   Membrane Science, 373 (2011) 20-28.
   53. 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. 
   54. 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. 
  55. Anitha Shanmugarajan, Subbiah Alwarappan, Subramaniam 
        Somasundaram, Rajendran  L, Analytical solution of 
        amperometric enzymatic reactions based on Homotopy 
        perturbation  method, Electrochimica Acta, 56 (2011) 3345–
   56. K. Venugopal, L. Rajendran, Application of two point pade 
         approximation in boundary value problems, Global Journal
         of  Mathematical Science:Theory&Practical, 30(1) (2011)
   57. 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. 
   58. Anitha Shanmugarajan, Subbiah Alwarappan , Rajendran  
, Analytical Expression of Non-Steady-State 
        Concentrations and Current Pertaining to Compounds Present              
        in  the  Enzyme Membrane of Biosensor J.Phys.Chem.A., 
   59. 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.
   60. 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.
    61. 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.
    62. 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
   63. M. Uma Maheswari , L. Rajendran, Analytical solution of non-
         linear  enzyme reaction equations arising in mathematical 
         chemistry,J Math Chem. (2011) 49:1713–1726
  64. Govindhan Varadharajan, Lakshmanan Rajendran, Analytical 
        solution of coupled non-linear second order reaction differential 
        equations in enzyme kinetics,Natural Science.( 2011),3(6) 459-

   65. 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.  
  66. 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. 
  67. S. Loghambal, L. Rajendran, Analytical expressions of 
        concentration  of nitrate pertaining to the electrocatalytic 
       reduction of nitrate ion, J. Electroanal. Chem., 661
  68. 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. 
  69. 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
  70. 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-
  71. 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. 
  72. 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. 
 73. G. Varadharajan, L. Rajendran, Analytical Solutions of System

       of Non-Linear Differential Equations in the Single-Enzyme,

       Single-Substrate Reaction with Non-Mechanism-Based Enzyme 
       Inactivation,  Applied Mathematics,  2 (2011) 1140-1147. 
 74. 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. 
 75. 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.
 76. 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.
 77. T. Praveen, L. Rajendran, Mathematical model for multi-phase 
      microchannel bioreactors, International Journal of 
     Mathematical Archive, 2(11) (2011) 2270-2280. 
 78. 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. 
 79. C. Thanga Pandi, L. Rajendran, Initial non-linear boundary value 
      in enzyme-substrate  reaction processes - Homotopy perturbation 
      approach, International Journal of Mathematical Archive, 2(11) 
      (2011) 2308-2313. 
In the year – 2012
 80V. 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

, 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

, 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)


 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

 100. V. Ananthaswamy & L. Rajendran*, Analytical Solution Of 
        Two-Point   Non-Linear Boundary Value Problems In Porous

        Catalyst Particles, International Journal of Mathematical
,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),

 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

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

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

mathematical  modelling of a biofilm: The Adomian

       decomposition method, Natural Science, Vol. 5, No. 4, 456-


110.Swaminathan Sevukaperumal, Alagu Eswari, Lakshmanan

, 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


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

,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-

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

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

, 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
, 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,


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

 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
,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,


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

 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

 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

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.


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,     

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.


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


      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,


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), 


183. R. MaliniDevi, S. Pavithra, R. Saravanakumar, L. Rajendran,

       Analysis of nonlinear vibrations of single walled carbon nanotubes,

      International Journal of Modern Engineering Research

,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

(IJMER),6(11) (2016), 14-23.

187. O.M.Kirthiga, M.Sivasankari, R.Vellaiammal,

       L.RajendranTheoretical analysis of concentration of

       lactosehydrolysis in a packed bed reactor using immobilized b-

       galactosidase, A in Shams Engineering Journal (In press),


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

, 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


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.                          
Non-Linear differential equations and rotating disc
       electrodes:padé approximationtechnique,ElectrochimicaActa,
       243 (2017), 1–6.

195.Krishnan Lakshmi Narayanan, VelmuruganMeena,                                  
, 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,                        
,Analytical solution of the convection-diffusion                
        equation for uniformly accessible rotating disk electrodes via the
        homotopy perturbation method,Journal of Electroanalytical                    
,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                            
        LakshmananRajendran, Mathematical model of catalytic
       processes at modified electrodes, Quim. Nova., 40(8), ( 2017),

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,

201. R. Saravanakumar, P. Pirabaharan, M. Muralikannan,

        L. Rajendran, Transient Current for a Rotating Disk
        Electrodes Produced by a Potential Step,

        Journal of Electrochemistry, 54(12) 2018, 863–868.

202. S. Saravanakumar, B. Sridevi, A.Eswari, L. Rajendran,
       Analysis of empirical fuzzy rate equations in
       homogeneous reaction diffusion Thomas model,
       Taga Journal, 14(2018), 892-911.

203. Lakshmanan Rajendran, Mohan Chitra Devi, Carlos

        Fernandez and Qiuming Peng, Mathematical Modeling and
        Simulation of Nonlinear Process in Enzyme Kinetics,

        Advanced Chemical Kinetics (Intech open), 2018, 21-32.


204. J. Femila Mercy Rani, V. Meena, S. Ganesan, L. Rajendran,

        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.

D. Pandiaraja, L. Rajendran and M. Veeramuni, Homotopy
        perturbation method 
for solving partial differential equations,

        International Journal of Mathematical Archiv
, 9(1),
         (2018), 45-49.

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

207. 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(2), (2018), 281-294.

208. S. Pavithra  and L. Rajendran, Mathematical model of coupled

        transcription, translation and degradation, International Journal

        of Mathematical Archive,
9(6) ,(2018), 119-128.

209. J. Visuvasam, A. Molina, E. Laborda, L. Rajendran,

        Mathematical Models of the Infinite Porous Rotating Disk
        Electrode,  Int. J. Electrochem. Sci., 13 (2018), 9999 – 10022.

210. 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 (2018), doi:10.24294/ijmss.v1i2.556.


211. Kirthiga Murali, Balamurugan Sonaiyappan, Rajendran 

, Modelling of reaction-diffusion process at carbon

       nanotube – Redox enzyme composite modified electrode biosensor,
       Chemical Physics Letters, 715 (2019) 20–28.

  1. R Saravanakumar, P Pirabaharan, M Abukhaled, L Rajendran, Theoretical analysis of voltammetry at a rotating disk electrode in the absence of supporting electrolyte, Journal of Physical Chemistry B 124 (3) (2019) 443-450.
  2. 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) (2020) 351-364
  3. 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.
  4. R Swaminathan, KL Narayanan, V Mohan, K Saranya, L Rajendran, Reaction/diffusion equation with michaelis-menten kinetics in m icrodisk biosensor: homotopy perturbation method approach Int. J. Electrochem. Sci 14 (2019) 3777-3791.
  5. L Rajendran, C Fernandez, Kinetics of Enzymatic Synthesis, IntechOpen (2019) 122.

In the year – 2020

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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 (2020) 114106.
  13. 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.
  14. P. Jeyabarathi, M. Kannan, L. Rajendran, Mathematical Modelling of a Biofilm-Based Microbial Fuel Cells Using Homotopy Perturbation Method, Mathematical Modelling 6 (6) (2020).
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. Muthuramalingam Rasi, Rajagopal Swaminathan, Kothandapani Venugopal, 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) (2020) 1-8.

In the year – 2021

  1. R. Usha 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 (2021) 115103.
  2. M. Salai Mathi Selvi, L. Rajendran, Marwan Abukhaled, Estimation of Rolling Motion of Ship in Random Beam Seas by Efficient Analytical and Numerical Approaches, Journal of Marine Science and Application (2021) 1-12.
  3. Lilly Clarance Mary, Ramu Usha Rani, Athimoolam Meena, Lakshmanan Rajendran, Nonlinear Mass Transfer at the Electrodes with Reversible Homogeneous; Reactions: Taylor'sSeries and Hyperbolic Function Method, Int. J. Electrochem. Sci (2021) 16 151037.
  4. 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 (2021) 880 114921.



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