The Ph.D. in Scientific Computing program is intended for students who will make extensive use of large-scale computation, computational methods, or algorithms for advanced computer architectures in their doctoral studies. This seminar series showcases the breadth of research covered by the program. 

Featured Speaker:

Kashvi Srivastava, PhD Candidate, Applied and Interdisciplinary Mathematics and Scientific Computing

Kashvi Srivastava is a PhD candidate in Applied and Interdisciplinary Mathematics. Her research interests lie in the applications of nonlinear dynamics in chemical kinetics. She works on analytical and computational modeling of chemical reactions using tools from perturbation theory and bifurcation theory.

Deterministic and Stochastic Modeling of Dynamical Systems in Chemical Kinetics

Chemical reactions are ubiquitous in nature in the form of biological and physical processes. We use nonlinear ordinary differential equations to mathematically model these processes in the deterministic regime. If a given process occurs at disparate time-scales, we can further reduce the number of equations to obtain a quasi-steady-state approximation of the system. In this talk, we consider a significant mechanism in chemical kinetics called the Michaelis–Menten reaction and its different quasi-steady-state reductions. We focus on the challenges faced in applying classical reduction theory on the system and the conditions under which its reductions are valid in the stochastic regime. We make use of a stochastic simulation algorithm called the Gillespie algorithm to demonstrate the accuracy of the reduced systems and to disprove a commonly-accepted qualifier for the validity of the stochastic approximation.

This event is part of MICDE’s seminar series featuring Ph.D. students in the Scientific Computing program. This series is open to all. University of Michigan faculty and students interested in computational and data sciences are encouraged to attend.

Questions? Email [email protected]