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

Research output: Contribution to journalArticleResearchpeer-review

Abstract

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.
Original languageEnglish
JournalMathematical Biosciences
DOIs
Publication statusPublished - 26 Sep 2018

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Boundary Integral Method
Viscous Fluid
Cells
Fluids
Motion
Cell
Modeling
Differential equations
Fluid
Formulation
Chemotaxis
Boundary Integral
Governing equation
Differential equation
Numerical Results
Experiments
Experiment
Simulation

Keywords

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

Cite this

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title = "Modelling the motion of clusters of cells in a viscous fluid using the boundary integral method",
abstract = "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.",
keywords = "Chemotaxis, Mathematical Modelling, Boundary integral method, Stokes Flow",
author = "Paul Harris",
year = "2018",
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language = "English",
journal = "Mathematical Biosciences",
issn = "0025-5564",

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

In: Mathematical Biosciences, 26.09.2018.

Research output: Contribution to journalArticleResearchpeer-review

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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

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JF - Mathematical Biosciences

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