I first came to CSULA as a freshman majoring in Computer Science and Math back in 1998. After I graduated from CSULA, I decided to pursue my Ph.D. at University of California, Santa Barbara. I became hooked on Mathematical Biology as it combines math, computer simulation, and my lifelong interest in biology. I completed my dissertation in Spring 2009 under the guidance of my advisor, Prof. Björn Birnir. I am happy to be back to CSULA and enjoy working with students and faculty here.
- Mathematical Biology
My current research work in Mathematical Biology focuses on developing a computational model for tumor growth and its progression into cancer. The model is an agent-based multiscale model that encompasses intracellular (cell signaling), intercellular (cellular adhesion), tissue (angiogenesis), and extracellular scales. The long-term goal of this research is to investigate the use of stem cells as therapeutic agents that promote tumor cell death.
In the past I have also developed a bioenergetic-based computational model to study the social behavior and self-coordination in bacteria by using myxobacteria as a model system. The model simulates the swarming behavior of myxobacteria and the phase transition in their life cycle. With this model we determine essential parameters and the consequences on the mutant cells.
- Optimization Theory
My research in the Optimization Theory focuses on Newton-type hybrid algorithms for solving a system of nonlinear equations and function minimization.
- Hendrata, M. and Subramanian, P. K., Nonmonotone Convergence and Relaxing Functions, Int. Journal of Pure and Applied Math, Vol. 83 No. 2, 349-364, 2013.
- Hendrata, M. and Subramanian, P. K., Alternatives to trigonometric substitutions, Pi Mu Epsilon Journal, Vol. 13 No. 7, 401-406, 2012.
- Hendrata, M. and Subramanian, P. K., Some Remarks on Newton's Algorithm - II, Int. Journal of Pure and Applied Math, Vol. 74 No. 3, 373-391, 2012.
- Hendrata, M., Yang, Z. Lux, R., and Shi, W., Experimentally Guided Computational Model Discovers Important Elements for Social Behavior in Myxobacteria, PLoS ONE, Vol. 6, Issue 7, e22169, 2011.
- Lecture Notes on Ordinary Differential Equations (with P. K. Subramanian) 3rd. ed.
- Hendrata, M. and Subramanian, P. K., Some Remarks on Newton's Algorithm, Int. Journal of Pure and Applied Math, Vol. 63 No. 2, 223-241, 2010.
- Hendrata, M. and Birnir, B., Dynamic-Energy-Budget-driven fruiting-body formation in Myxobacteria, Physical Review E, Vol. 81, 061902, 2010.
- Ph.D. Mathematics (2009), University of California, Santa Barbara
- M.A. Applied Math (2008), University of California, Santa Barbara
- M.S. Mathematics (2004), CSULA
- B.S. Computer Science and Mathematics (2002), CSULA