The study of chemotaxis, the directed movement of cells or organisms in response to chemical gradients, is fundamentally linked to the development and analysis of partial differential equations (PDEs) ...

Hematopoiesis, the biological process of blood cell formation, has long attracted the attention of mathematicians and biomedical researchers alike. Recent work in this arena has increasingly focused ...

(Nanowerk News) Clemens Heitzinger, assistant professor of applied mathematics in the School of Mathematical and Statistical Sciences, has recently been awarded the prestigious START Prize by the ...

Cancer is viewed as a multistep process whereby a normal cell is transformed into a cancer cell through the acquisition of mutations. We reduce the complexities of cancer progression to a simple set ...

This is a preview. Log in through your library . Abstract This article considers estimation of constant and time-varying coefficients in nonlinear ordinary differential equation (ODE) models where ...

An important class of nonlinear models involves a dynamic description of the response rather than an explicit description. These models arise often in chemical kinetics, pharmacokinetics, and ...

Patient digital twins aim to create computational replicas of an individual’s physiology that can predict disease trajectories and treatment response.

FlexPDE 5 is a script-driven program for solving partial differential equations involving heat flow, electric and magnetic fields, and stress analysis. Users enter equations, boundary conditions, ...

In this paper we examine the capacity of arbitrage-free neural stochastic differential equation market models to produce realistic scenarios for the joint dynamics of multiple European options on a ...

Adjusting the water flow rate in a river can prevent invasive species from moving upstream and expanding their range. An applied mathematician has developed a partial differential equation model to ...