Mathematical Biology

High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators We develop a general framework for identifying phase reduced equations for finite populations of coupled oscillators that is valid far beyond the weak coupling approximation. This strategy represents a general extension of the theory from and yields coupling functions that are valid to higher-order accuracy …

Modelling intermediate filaments – from filament elongation to network organization Intermediate filaments (IFs) constitute a crucial component of the cytoskeleton, playing vital roles in maintaining cell shape, mechanical integrity, and providing support for cell migration and signalling. Unlike microtubules and actin filaments, intermediate filaments form a diverse family of proteins, including keratins, vimentin, desmin, and …

Mathematical Optimization of Drug Regimens Improvements in drug regimens can make a difference in both clinical trial success and patient outcomes. Optimal control can be used to mathematically optimize regimens, which can then be tested experimentally and clinically. I will show examples of optimization of regimens for math models of various diseases, and discuss some …