Dr. M. Pitchaimani , M.Sc., M. Phil., Ph.D
Associate Professor and Head i/c

Specialization :
Mathematical Biology

Contacts :
Address:
Office
Ramanujan Institute for Advanced Study in Mathematics,
University of Madras,
Chepauk,
Chennai 600005.
Residential:
119, 2nd Street,
Shastri Colony,Chrompet,
Chennai 600 044,
India
Phone: Off : +91442533 3381, Mobile: +91 98427 86545, +91 99527 92396
EMail: mpitchaimani@unom.ac.in , mpitchaimani@yahoo.com

Membership:
American Mathematical Society 0/81692/710799

Achivements:
 Several result published on Mathematical Biology field
 Some of my articles got a most downloadable article award of the particular years

Projects:
Title 
: 
DSTSERC fast track scheme for young Scientist project on Aging Concept in Population Dynamics 
Duration 
: 
20052008 
Funding Agency 
: 
DST 
Amount Sanctioned (in Lakhs.) 
: 
10 
Title 
: 
Parameter Analysis in a Gompertz Stochastic Model for Tumor Growth 
Duration 
: 
20112014 
Funding Agency 
: 
DST 
Amount Sanctioned (in Lakhs.) 
: 
10 

Articles
 E.S. Lakshminarayanan and M. Pitchaimani. Unique Estimation of Mortality rates in Gompertz survival model Parameters Appl. Math. Lett. Vol 16, No. 2, 211219 (2003).,
 E.S. Lakshminarayanan and M. Pitchaimani. On Existence of Gom pertz Parameters and its Asymptotic Formulae for a Large Population. Appl. Math. Lett. Vol 17, No. 2, 173180 (2004),
 E.S. Lakshminarayanan and M. Pitchaimani. A Note on Gompertz Survival Parameters: Estimation and Sensitivity. Advances in Applied Mathematics and Statistics,Eds., G. Arivarignan and A. Sundaram, MKU, pp: 143  146, (2003).,
 E.S. Lakshminarayanan and M. Pitchaimani. Existence of Critical Gompertz Parameter and Its Asymptotic Expression. Comp. and Math. with Appl. Vol 55,13021309, (2008).,
 E.S. Lakshminarayanan and M. Pitchaimani. Existence and Estimation of Negative Critical Gompertz Parameters. Comp. and Math. with Appl. Vol 55, 16861692, (2008).,
 M. Pitchaimani. Maximum Lifespan prediction from the Gompertz model and estimation of negative Gompertz parameter. Journal of Ap plied Statistical Sciences (accepted for publications).,
 M. Pitchaimani. Estimation and Sensitivity of Gompertz parameter with mortality deceleration rate. Journal of Applied Mathematics and Computing. Vol. 18 No.12, 311320 (2005).,
 M. Pitchaimani and Tim Eakin. Unique Estimation of Gompertz Pa rameters with Mortality Deceleration Rate. Mathematical and Com puter Modeling. Vol. 47, 104114 (2008).,
 M. Pitchaimani and Tim Eakin. Existence and Estimation of Gompertz parameters with Mortality deceleration rate and their Asymptotic Formu lae for a Large Population. Mathematical and Computer Modeling. Vol. 46, 14771486 (2007) .,
 M. Pitchaimani and Tim Eakin. Estimation and Sensitivity of Allom etry Model Parameters. Int. J. Pure and Appl. Math. Vol. 38, 251270 (2007).,
 M. Pitchaimani. Maximum Lifespan prediction from the Gompertz model. Int. J. Math. Game Theory and Algebra Vol. 17 No. 1/2 5767,
 M. Pitchaimani. Gompertzian Model for Tumor Growth. Int. J. Pure and Appl. Math. Sci. (in press).,
 R. Asokan and M. Pitchaimani. Nonclassical Symmetries and Direct Similarity Analysis of a Nonlocal Gaseous Ignition Model. Int. J. Pure and Appl. Math. Vol.41, No.5,737748(2007).,
 R. Asokan and M. Pitchaimani. AutoB?acklund transformation, Lax pairs and Painleve property of ut + p(t)uux + q(t)uxxx + r(t)u = 0. Int.J. Math. Game Theory and Algebra (in press).,
 M. Pitchaimani. Uniqueness of allometry model parameters. Journal of Applied Mathematics and Computing. Vol. 28, 4855000 (2008).,
 M. Pitchaimani. Existence of allometry model parameters and their asymptotic formulae for a large population. Journal of Applied Mathematics and Computing.DOI 10.1007/s1219000903480,
 M. Pitchaimani. Stability of frailty model parameters. Journal of Applied Mathematics ( in press).,
 Existence of a critical allometry model parameter and its asymptotic expression., M. Pitchaimani, Journal of Applied Mathematics and Computing, 41, No. 12, Springer, (2013), 133 – 152
 Homotopy perturbation method for solving a model for HIV1 Infection., M. Pitchaimani, M. Divya, International journal of Mathematical Science, Vol 11, No. 34, (2012), 411421
 Stability analysis for HIV1 infection dynamics using the matrix Lambert W function., M. Pitchaimani, C. Monica, International journal of Mathematical Science,, Vol 11, No. 34, (2012), 411421
 Introduction to Estimation of Survival Model Parameters., M. Pitchaimani, Mathematics Newsletter, 20(3), (2011), 3344
 Stability analysis for HIV infection delay model with protease inhibitor., M. Pitchaimani, C. Monica and M.Divya, BioSystems, 114, (2013), 118124
 Existence and Estimation of Negative critical allometry model parameter., M. Pitchaimani and R.Asokan,, Int.J. Emer.Sci and Engg, 1(11), (2013), 7886
 Global stability analysis of HIV1 infection model with three time delays., M. Pitchaimani, C. Monica, Journal of Applied Mathematics and Computing, 48(12), (2014), 293319
 Unique Estimation of Solid Tumour Growth Gompertz Parameter and Its Sensitivity Behaviour., M. Pitchaimani, G. Somasundara Ori and Tim Eakin, British Journal of Mathematics & Computer, 4(8), (2014), 26032617
 Maximum life span predicitions using Gompertz tumour Growth Model., M. Pitchaimani, G. Somasundara Ori, IOSR. Journal of Mathematics, 10(6), (2014), 5562
 Mathematical modeling of intra venous glucose tolerance test model with two discrete delays., M. Pitchaimani and P. Krishnapriya, C. Monica, Journal of Biological Systems, World Scientific, 23(4), (2015), 631660
 Analysis of stability and Hopf bifurcation for HIV1 dynamics with PI and three intracellular delays, C. Monica and M. Pitchaimani, Nonlinear Analysis: Real World Applications, 27, (2016), 5569
 Optimal control of mixed immunotherapy and chemotherapy of tumours with discrete delay, DOI 10.1007/s404350150221y., P. Krishnapriya and M. Pitchaimani, International Journal of Dynamics and Control, SpringerVerlag, (2016)

Papers
 A new method for solving delay differential equations., M. Pitchaimani and P. Krishnapriya, National Conference on Mathematical Modelling, (2014), 136142
 Sensitivity and Variational iteration method for solving tumourimmune system, M. Pitchaimani and P. Krishnapriya, Sacred Heart Journal of Science and Humanities, 6(2), (2015), 619
 Stability analysis for the model of HIV infection dynamics., M. Pitchaimani and M.Divya, Sacred Heart Journal of Science and Humanities, 6(2), (2015), 2035

Books
 Proceedings of the Eighteenth Ramanujan Symposium on Recent Trends in Dynamical Systems and Mathematical Modeling, M. Pitchaimani, (2014)(1127)

Seminar / Conference / Workshop :
NATIONAL
 National Seminar on Ageing, Organised by Dept of Sociology, MKU Madurai. Nov 25  26, 1999.
 National Conference on Emerging Frontiers of Mathematics: Theories and Applications", Organised by Jadavpur University, Calcutta. March 24  26, 2000.
 Seminar on Application of Mathematics and Statistics (SAMS2001)" which was held at the School of Mathematics M.K. University during "March 1516"  2001.
 Seminar on current trends in Biostatistics" which was held at the School of Mathematics M.K. University during October1,2003.
 UGCDSA National Conference on Nonlinear waves and Diffusion" which hwas held at the School of Mathematics M.K. University during November1213, 2003.
 Conference on Queues, Inventory, Reliability, Maintenance and Replacement which was held at the Cochin University of Science and Technology, Kochi. February 2022, 2004.
 Recent Trends in Graph Theory" which was held at the School of Mathematics M.K. University, Madurai. March5, 2004.
 I have attended one National summer school on Function of Matrix Argument and Theory of Special Functions" conducted by Center for Mathematical Sciences, Trivandrum on 29.05.2000 to 30.06.2000.
 workshop on Advanced Computer Methods for Statisti cians conducted by School of Mathematics, Madurai Kamaraj University, Madurai21 on 13.02.2003 to 14.02.2003.
 a workshop on LATEX a Mathematical Document preparation system conducted by Department of Applied Mathematics and Statistics, School of Mathematics, Madurai Kamaraj University, Madurai, on March 24, 2003
 a workshop on UGC sponsored workshop cum user meeton "Applications of GIS" which was held at the Department of Futures Studies, M.K.University, during August 1314,2003
 a workshop on Instructional Workshop on Matrix Ana lytic Methods which was held at the Cochin University of Science and Technology, Kochi. February 19, 2004.
 I have attended Seventeeth Ramanujan Symposium on Mathematical Analysis and Applications, University of Madras, Ramanujan Institute for Advanced Study in Mathematics, October 2931, 2012.
 I have organised Eighteenth Ramanujan Symposium on Recent Trends in Dynamical Systems and Mathematical Modeling, University of Madras, Ramanujan Institute For Advanced Study in Mathematics, September 2527, 2013
 I have attended National Conference on Applied Stochastic Methods, Madurai Kamaraj University,Madurai 2324, 2012.
 I have attended OneDay Workshop on Financial Mathematics, March 27, 2013.
INTERNATIONAL
 International Conference on Recent Trends in Applied Stochastic Methods" which was held at the School of Mathematics, M. K. University, Madurai. December 1519, 2008.
 I have attended on First International Conference in Mathematics and Mathematical Sciences. New Delhi, July 7, 2012.

Research Guidence
Ph.D Awarded
Ph.D Students
M.Phil Awarded
M.Phil Students

