Reconstruction of stochastic differential equations characterizing noisy single-cell molecular dynamics In the talk, I shall introduce our recent work on developing machine-learning-based methods for reconstructing noisy single-cell molecular dynamics as …
Parabolic System of Aggregation Formation in Bacterial Colonies The goal of this talk is to study a fourth-order nonlinear parabolic system with dispersion for describing bacterial aggregation. Analytical solution of …
Cancer Detection via Electrical Impedance Tomography and Optimal Control of Elliptic PDEs A new mathematical framework utilizing the theory of Partial Differential Equations(PDE), inverse problems and optimal control of systems …
Continuous culture models of microbial kinetics In this talk, I will start with a bit of history of mathematical models of microbial kinetics in both batch and continuous cultures, briefly …
Mathematical modeling of CD8 T cell search for malaria infection in the liver Malaria, a disease caused by parasites of the Plasmodium genus, begins when Plasmodium-infected mosquitoes inject malaria sporozoites …
Insights into oscillatory neural dynamics using a phase-amplitude framework Model reduction techniques can provide useful insight into the dynamics behaviour of high dimensional oscillatory systems such as networks of neurons …
Bistability between acute and chronic states in a Model of Hepatitis B Virus Dynamics Understanding the mechanisms responsible for different clinical outcomes following hepatitis B infection requires a systems investigation …
Extreme first passage times for populations of identical rare events A collection of identical and independent rare event first passage times is considered. The problem of finding the fastest out …
Could malaria mosquitoes be controlled by periodic release of transgenic mosquitocidal Metarhizium pingshaense? A mathematical modeling approach Malaria remains one of the world's deadliest vector-borne diseases, with WHO reporting 249 million …
