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Mathematical modelling in cell migration : tackling biochemistry in changing geometries
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Stinner, Björn and Bretschneider, Till (2020) Mathematical modelling in cell migration : tackling biochemistry in changing geometries. Biochemical Society Transactions, 48 (2). pp. 419-428. doi:10.1042/BST20190311 ISSN 0300-5127.
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WRAP-Mathematical-modelling-cell-migration-changing-Stinner-2020.pdf - Accepted Version - Requires a PDF viewer. Download (1086Kb) | Preview |
Official URL: http://doi.org/10.1042/BST20190311
Abstract
Directed cell migration poses a rich set of theoretical challenges. Broadly, these are concerned with 1) how cells sense external signal gradients and adapt; 2) how actin polymerisation is localised to drive the leading cell edge and Myosin-II molecular motors retract the cell rear; and 3) how the combined action of cellular forces and cell adhesion results in cell shape changes and net migration. Reaction-diffusion models for biological pattern formation going back to Turing have long been used to explain generic principles of gradient sensing and cell polarisation in simple, static geometries like a circle. In this minireview we focus on recent research which aims at coupling the biochemistry with cellular mechanics and modelling cell shape changes. In particular we want to contrast two principal modelling approaches, 1) interface tracking where the cell membrane, interfacing cell interior and exterior, is explicitly represented by a set of moving points in 2D or 3D space, and 2) interface capturing. In interface capturing the membrane is implicitly modelled, analogously to a level line in a hilly landscape whose topology changes according to forces acting on the membrane. With the increased availability of high-quality 3D microscopy data of complex cell shapes, such methods will become increasingly important in data-driven, image-based modelling to better understand the mechanochemistry underpinning cell motion.
| Item Type: | Journal Article | ||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QD Chemistry |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science Faculty of Science, Engineering and Medicine > Science > Mathematics |
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| Library of Congress Subject Headings (LCSH): | Cell migration , Cell migration -- Mathematical models , Biochemistry , Biochemistry -- Mathematical models, Cells -- Motility , Cells -- Motility -- Simulation -- Mathematical models | ||||||
| Journal or Publication Title: | Biochemical Society Transactions | ||||||
| Publisher: | Portland Press Ltd | ||||||
| ISSN: | 0300-5127 | ||||||
| Official Date: | 2 April 2020 | ||||||
| Dates: |
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| Volume: | 48 | ||||||
| Number: | 2 | ||||||
| Page Range: | pp. 419-428 | ||||||
| DOI: | 10.1042/BST20190311 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Copyright Holders: | © 2020 The Author(s). Published by Portland Press Limited on behalf of the Biochemical Society | ||||||
| Date of first compliant deposit: | 6 April 2020 | ||||||
| Date of first compliant Open Access: | 2 April 2021 | ||||||
| RIOXX Funder/Project Grant: |
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