Peer reviewed journal publications

(29) "Homogenization of a Random Walk on a Graph in $\mathbb R^d$: An Approach to Predict Macroscale Diffusivity in Media with Finescale Obstructions and Interactions", Preston Donovan and Muruhan Rathinam, Multiscale Model. Simul. 18-1 (2020). link, arxiv link

(28) "Predicting Drug Release From Degradable Hydrogels Using Fluorescence Correlation Spectroscopy and Mathematical Modeling", Saahil Sheth, Emily Barnard, Ben Hyatt, Muruhan Rathinam, Silviya Petrova Zustiak, Front. Bioeng. Biotechnol. 2019, Dec 20;7:410. link

(27) "Stochastic dynamics of eukaryotic flagellar growth", M. Rathinam and Y. Sverchkov, Bulletin of Mathematical Biology, 81, 2849-2872 (2019).

(26) "Estimation of parameter sensitivities for stochastic reaction networks using tau-leap simulations", A. Gupta, M. Rathinam, and M. Khammash, SIAM J. Numer. Anal., 56(2), 1134-1167, 2018. link, arxiv link

(25) "Convergence, stability and robustness of multidimensional opinion dynamics in continuous time", S.T. Satamoulas and M. Rathinam, SIAM J. Control Optim., 56(3), 1938-1967, 2018. link, arxiv link

(24) "Homogenization Theory for the Prediction of Obstructed Solute Diffusivity in Macromolecular Solutions", P. Donovan, Y. Chehreghanianzabi, M. Rathinam and S.P. Zustiak, PLOS One, vol 11(1), (2016). link

(23) "Efficiency of the Girsanov transformation approach for parametric sensitivity analysis of stochastic chemical kinetics", T. Wang and M. Rathinam, SIAM/ASA J. Uncertainty Quantification, vol 4, pp 1288--1322, (2016). link

(22) "Convergence of moments of tau leaping schemes for unbounded Markov processes on integer lattices", M. Rathinam, SIAM J. Numerical Analysis, vol 54(1), pp 415--439, (2016). link

(21) "Moment growth bounds on continuous time Markov processes on non-negative integer lattices", M. Rathinam, Quarterly of Applied Mathematics, vol 53(2), pp 347--364, (2015). link

(20) "Preconditioned Bayesian Regression for Stochastic Chemical Kinetics", A. Alexanderian, F. Rizzi, M. Rathinam, O.P. Le Maitre and O.M. Knio, Journal of Scientific Computing, vol 58(3), pp 592--626, (2014). link

(19) "SPSens: a software package for stochastic parameter sensitivity analysis of biochemical reaction networks", P.W. Sheppard, M. Rathinam and M. Khammash, Bioinformatics, vol 29(1), pp 140--142, (2013).

(18) "Tau leaping of stiff stochastic chemical systems via local central limit approximation", Y. Yang and M. Rathinam, J. Comp. Phys., vol 242, pp 581--606, (2013). link

(17) "A pathwise derivative approach to the computation of parameter sensitivities in discrete stochastic chemical systems", P.W. Sheppard, M. Rathinam, and M. Khammash, J. Chem. Phys., vol. 136(3), pp. 034115-13 (2012). link

(16) "Homogenization, Symmetry and Periodization in Diffusive Random Media", A. Alexanderian, M. Rathinam, and R. Rostamian, Acta Mathematica Scientia, vol. 32(1), pp. 129--154, (2012). link

(15) "Uniform Convergence of Interlaced Euler Method for Stiff Stochastic Differential Equations", I. Cipcigan and M. Rathinam, SIAM J. MMS, vol 9(3), pp 1217--1252, 2011. link

(14) "Integral tau methods for stiff stochastic chemical systems", Y. Yang, M. Rathinam and J. Shen, J. Chem. Phys., vol 134(4), pp 044129, 2011. link

(13) "Irreducibility of a Symmetry Group Implies Isotropy", A. Alexanderian, M. Rathinam, and R. Rostamian, Journal of Elasticity: Volume 102, Issue 2, Page 151, 2011. link

(12) "Efficient computation of parameter sensitivities of discrete stochastic chemical reaction networks", M. Rathinam, P.W. Sheppard, and M. Khammash, Journal of Chemical Physics, Volume 132(3), pp. 034103(13), January 2010. link

(11) "Trader behaviour and its effect on asset price dynamics", J. Primbs and M. Rathinam , Applied Mathematical Finance, Vol. 16, Issue 1-2, pp. 151-182, Feb-Apr. 2009. link

(10) "Option Pricing with a Pentanomial Lattice Model that Incorporates Skewness and Kurtosis", J.A. Primbs, M. Rathinam and Y. Yamada, Applied Mathematical Finance, Vol. 14, No. 1, pp 1-17, Feb 2007. link

(9) "Reversible-Equivalent-Monomolecular Tau: A Leaping Method for ``Small-Number and Stiff'' Stochastic Chemical Systems", M. Rathinam and H. El-Samad, J. Comp. Phys., vol 224, pp 897--923, 2007. link

(8) "Consistency and stability of tau leaping schemes for chemical reaction systems", M. Rathinam, L. Petzold, Y. Cao, and D. Gillespie, SIAM J. MMS, vol 4(5), pp 867--895, 2005. link

(7) "The numerical stability of leaping methods for stochastic simulation of chemically reacting systems", Y. Cao, L.R. Petzold, M. Rathinam and D.T. Gillespie, J. Chem. Phys., vol 121(24), pp. 12169--78, 2004. link

(6) "Stiffness in Stochastic Chemically Reacting Systems: The Implicit Tau-Leaping Method", M. Rathinam, L.R. Petzold, Y. Cao and D.T. Gillespie, J. Chem. Phys., vol 119(24), pp. 12784-94, 2003. link

(5) "A new look at proper orthogonal decomposition", M.Rathinam and L.R.Petzold; SIAM Journal on Numerical Analysis Volume 41, Number 5, pp. 1893-1925, 2003. link

(4) "Dynamic iteration using reduced order models: A method for simulation oflarge scale modular systems", M.Rathinam and L.R.Petzold;SIAM Journal on Numerical Analysis Volume 40, Number 4 pp. 1446-1474, 2002. link

(3) "Differential flatness of two one-forms in arbitrary number of variables", M. Rathinam, R.M. Murray; Systems & Control Letters Volume (issue): 36 (5), pp 317-326, 1999. link

(2) "Configuration Flatness of Lagrangian Systems Underactuated by One Control", Muruhan Rathinam, Richard M. Murray; SICON Vol. 36, Number 1, pp. 164-179. 1998. link

(1) "Differential Flatness and Absolute Equivalence of Nonlinear Control Systems", M. van Nieuwstadt, M. Rathinam, R. M. Murray; SICON Vol. 36, Number 4, pp. 1225-1239. 1998 link