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Open AccessArticle

Numerical Simulation of a Multiscale Cell Motility Model Based on the Kinetic Theory of Active Particles

1
Universidad Nacional de Córdoba and CIEM (CONICET), 5000 Córdoba, Argentina
2
Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(8), 1003; https://doi.org/10.3390/sym11081003
Received: 12 June 2019 / Revised: 2 July 2019 / Accepted: 4 July 2019 / Published: 3 August 2019
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Abstract

In this work, we deal with a kinetic model of cell movement that takes into consideration the structure of the extracellular matrix, considering cell membrane reactions, haptotaxis, and chemotaxis, which plays a key role in a number of biological processes such as wound healing and tumor cell invasion. The modeling is performed at a microscopic scale, and then, a scaling limit is performed to derive the macroscopic model. We run some selected numerical experiments aimed at understanding cell movement and adhesion under certain documented situations, and we measure the alignment of the cells and compare it with the pathways determined by the extracellular matrix by introducing new alignment operators. View Full-Text
Keywords: multiscale modeling; cell movement; haptotaxis; kinetic theory multiscale modeling; cell movement; haptotaxis; kinetic theory
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Knopoff, D.A.; Nieto, J.; Urrutia, L. Numerical Simulation of a Multiscale Cell Motility Model Based on the Kinetic Theory of Active Particles. Symmetry 2019, 11, 1003.

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