Registration Problems and Applications to Biomathematics I will discuss some mathematical approaches to various registration problems, where one seeks to align points from different spaces. These include matching points between …
Stochastic switching of delayed feedback suppresses oscillations in genetic regulatory systems Delays and stochasticity have both served as crucially valuable ingredients in mathematical descriptions of control, physical and biological systems. …
Deconstructing the Integrated Oscillator Model for Pancreatic Beta-Cells Electrical bursting oscillations in the beta-cells of pancreatic islets have been a focus of investigation for more than fifty years. This has …
Trait-shift induced interaction modification and unusual consequences onecosystem dynamics Ecosystems are traditionally modeled by networks of species with constant interaction strengths between them. However, it has been increasingly recognized that …
Controlling Pattern Formation in Active-Ordered Fluids Active fluids comprised of reconstituted biopolymers and motor proteins are self-driven materials that exhibit rich spatiotemporal dynamics. These dynamics are characterized by buckling instabilities …
A stochastic first-order reaction gene translation and nuclear-to-cell ratio homeostasis model Cell size varies between different cell types, and between different growth and osmotic conditions. However, the nuclear-to-cell volume ratio …
Understanding the effect of white matter delays on large scale brain dynamics The presence of myelin is a powerful structural factor that controls the conduction velocity of mammalian axons. It …
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 …
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 …
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, …
