### Abstract

Original language | English |
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Journal | Mathematical Biosciences |

DOIs | |

Publication status | Published - 26 Sep 2018 |

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### Keywords

- Chemotaxis
- Mathematical Modelling
- Boundary integral method
- Stokes Flow

### Cite this

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**Modelling the motion of clusters of cells in a viscous fluid using the boundary integral method.** / Harris, Paul.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Modelling the motion of clusters of cells in a viscous fluid using the boundary integral method

AU - Harris, Paul

PY - 2018/9/26

Y1 - 2018/9/26

N2 - In experiments clusters of cells are often observed to move in response to a chemical signal which is present in the fluid surrounding the cells. This process is known as chemotaxis. This paper presents a method for modelling the motion of clusters of cells moving through a viscous fluid in response to a known chemical signal using a boundary integral formulation of the governing equations rather than the more usual differential equation formulation. The numerical results presented in this paper show that the boundary integral method can be used to simulate the motion of cell clusters through the fluid. The results of the simulations are compared to some experimental observations of cell and cluster motion.

AB - In experiments clusters of cells are often observed to move in response to a chemical signal which is present in the fluid surrounding the cells. This process is known as chemotaxis. This paper presents a method for modelling the motion of clusters of cells moving through a viscous fluid in response to a known chemical signal using a boundary integral formulation of the governing equations rather than the more usual differential equation formulation. The numerical results presented in this paper show that the boundary integral method can be used to simulate the motion of cell clusters through the fluid. The results of the simulations are compared to some experimental observations of cell and cluster motion.

KW - Chemotaxis

KW - Mathematical Modelling

KW - Boundary integral method

KW - Stokes Flow

U2 - 10.1016/j.mbs.2018.09.011

DO - 10.1016/j.mbs.2018.09.011

M3 - Article

JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

ER -