Numerical Simulation of a Multiscale Cell Motility Model Based on the Kinetic Theory of Active Particles
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Multiscale modelingCell movementKinetic theoryHaptotaxis
Knopoff, D. A., Nieto, J., & Urrutia, L. (2019). Numerical simulation of a multiscale cell motility model based on the kinetic theory of active particles. Symmetry, 11(8), 1003.
SponsorshipD.K. is partially funded by Consejo Nacional de Investigaciones Científicas y Técnicas Project PIP 11220150100500 CO, Agencia Nacional de Promoción Científica y Tecnológica Project PICT 2015-1066, and Secretaría de Ciencia y Técnica (UNC). J.N. is partially supported by Junta de Andalucía Project P12-FQM-954 and MINECO Project RTI2018-098850-B-I00.
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.