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A Mathematical Model of Cell Clustering

In: Integral Methods in Science and Engineering

Author

Listed:
  • A. Farmer

    (The University of Brighton)

  • P. J. Harris

    (The University of Brighton)

Abstract

This paper presents a numerical method for modelling cell migration. The aim of this research is to generate a model that accurately simulates to what can be observed in a experimental work. In the model presented here a cell is represented by a system of springs connected together at node points on the cells membrane and on the boundary of the cells nucleus. The nodes on the membrane mimic the behaviour of the receptors in the cell’s membrane that are attracted to a chemical signal in the surrounding medium. The extension (or compression) of the springs simulate the motion of the cell in response to the chemical signal. This paper will consider the motion of a group of cells, and how they join together to form a cluster. In particular, the model developed here will consider what happens when two (or more) cells collide and how their membranes connect to each other. The methods described in this paper will be illustrated with a number of typical examples simulating cells moving in response to a chemical signal and how they combine to form clusters.

Suggested Citation

  • A. Farmer & P. J. Harris, 2023. "A Mathematical Model of Cell Clustering," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Paul J. Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 119-128, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-34099-4_10
    DOI: 10.1007/978-3-031-34099-4_10
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