A discontinuous Galerkin model for the simulation of chemotaxis processes: application to stem cell injection after a myocardial infarction

Vermolen, Fred, Crapts, Linda and Ryan, Jennifer (2017) A discontinuous Galerkin model for the simulation of chemotaxis processes: application to stem cell injection after a myocardial infarction. In: Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes. Academic Press, pp. 95-115. ISBN 9780128117187

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Abstract

We present a mathematical formalism for the simulation of angiogenesis treatment in the heart after a myocardial infarction. The formalism treats the injection of stem cells at the surface of the heart, which then, release growth factor TG-. This growth factor attracts the endothelial cells that migrate towards the stem cells as a result of chemotaxis. The description of the formation of a vascular network is characterised by taking into account the vessel tips as well as their sprouts. The method is based on a Keller-Segel formalism for chemotaxis for the vessel tips, combined with a ’snail trail’ mechanism to simulate the migration of the sprouts. The paper presents a Discontinuous Galerkin method on quadrilateral meshes to solve the system of partial differential equations in two spatial dimensions.

Item Type: Book Section
Faculty \ School: Faculty of Science > School of Mathematics
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Depositing User: Pure Connector
Date Deposited: 23 Jan 2018 11:30
Last Modified: 25 Jul 2019 04:31
URI: https://ueaeprints.uea.ac.uk/id/eprint/66039
DOI:

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