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Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...

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Related Experiment Video

Updated: Jun 21, 2026

Finite Element Modelling of a Cellular Electric Microenvironment

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Multi-scale models of cell and tissue dynamics.

Magdalena A Stolarska¹, Yangjin Kim, Hans G Othmer

¹Department of Mathematics, University of St Thomas, 2115 Summit Avenue, St Paul, MN 55105, USA.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|August 7, 2009

Summary

This study presents three computational models to understand the mechanics of cell and tissue movement. These models explore how forces are organized to drive directed cell migration in biological systems.

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2026-07-14T07:22:26.139956+00:00

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