Phase field approach for modeling intracellular dynamics
Julien Kockelkoren, Herbert Levine, and Wouter-Jan Rappel

TL;DR
This paper presents a phase field method for modeling intracellular diffusion, demonstrating high accuracy and efficiency, and applies it to a chemotaxis model, offering a new computational tool for cell dynamics studies.
Contribution
The paper introduces a novel phase field approach for intracellular diffusion modeling, comparing it with traditional methods and applying it to chemotaxis.
Findings
High accuracy compared to exact solutions
Easy to implement and computationally inexpensive
Successfully applied to a chemotaxis model
Abstract
We introduce a phase field approach for diffusion inside and outside a closed cell with damping and with source terms at the interface. The method is compared to exact solutions (where possible) and the more traditional finite element method. It is shown to be very accurate, easy to implement and computationally inexpensive. We apply our method to a recently introduced model for chemotaxis by Rappel et al. [Biophys. J. 83, 1361 (2002)].
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Thermoelastic and Magnetoelastic Phenomena · Ultrasound Imaging and Elastography
