Reference : A Finite Volume Spatial Discretisation for taxis-diffusion-reaction systems with axi-... |

Parts of books : Contribution to collective works | |||

Life sciences : Microbiology Physical, chemical, mathematical & earth Sciences : Mathematics | |||

http://hdl.handle.net/2268/70320 | |||

A Finite Volume Spatial Discretisation for taxis-diffusion-reaction systems with axi-symmetry: application to fracture healing | |

English | |

Gerisch, Alf [Martin-Luther-Universitat Halle-Wittenberg, Institut fur Numerische Mathematik, 06099 Halle (Saale), Germany > > > >] | |

Geris, Liesbet [K.U. Leuven, Faculty of Engineering, Division of Biomechanics and Engineering Design, Celestijnenlaan 300C, B-3001 Leuven, Belgium > > > >] | |

2007 | |

Advances in Mathematical Modeling of Biological Systems | |

Deutsch, A. | |

Brusch, L. | |

Byrne, H. | |

de Vries, G. | |

Herzel, H. | |

Birkhäuser | |

303-316 | |

0-8176-4557-8 | |

Boston | |

[en] Taxis-diffusion-reaction model ; axi-symmetry ; numerical method ; finite volume discretisation ; fracture healing | |

[en] We consider the numerical simulation of a time-dependent taxis-diffusion-reaction
model of fracture healing in mice using the method of lines. The partial differential equation problem has an axi-symmetric structure and this is employed to properly reduce the model to an equivalent problem in two-dimensional (2D) space leading subsequently to an efficient spatial discretisation. Special care is given to respect conservation of mass and the non-negativity of the solution. The numerical simulation results are contrasted to those obtained from a simplistic reduction of the axi-symmetric model to 2D space (at the same computational cost).We observe quantitative and qualitative differences. | |

Researchers ; Professionals ; Students | |

http://hdl.handle.net/2268/70320 |

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