Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Force Estimation during Cell Migration Using Mathematical Modelling

Version 1 : Received: 14 June 2022 / Approved: 15 June 2022 / Online: 15 June 2022 (05:54:15 CEST)

A peer-reviewed article of this Preprint also exists.

Yang, F.; Venkataraman, C.; Gu, S.; Styles, V.; Madzvamuse, A. Force Estimation during Cell Migration Using Mathematical Modelling. J. Imaging 2022, 8, 199. Yang, F.; Venkataraman, C.; Gu, S.; Styles, V.; Madzvamuse, A. Force Estimation during Cell Migration Using Mathematical Modelling. J. Imaging 2022, 8, 199.

Abstract

Cell migration is essential for physiological, pathological and biomedical processes such as, in embryogenesis, wound healing, immune response, cancer metastasis, tumour invasion and inflammation. In light of this, quantifying mechanical properties during the process of cell migration is of great interest in experimental sciences, yet few theoretical approaches in this direction have been studied. In this work, we propose a theoretical and computational approach based on the optimal control of geometric partial differential equations to estimate cell membrane forces associated with cell polarisation during migration. Specifically, cell membrane forces are inferred or estimated by fitting a mathematical model to a sequence of images, allowing us to capture dynamics of the cell migration. Our approach offers a robust and potentially accurate framework to compute geometric mechanical membrane forces associated with cell polarisation during migration and also yields geometric information of independent interest, we illustrate one such example that involves quantifying cell proliferation levels which are associated with cell division, cell fusion or cell death.

Keywords

cell migration; optimal control; geometric partial differential equations; mechanical membrane forces; cell polarisation

Subject

Computer Science and Mathematics, Computational Mathematics

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