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