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Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks - Anita S. Kettemann
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3, ISBN: 9783832289546

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The structure of an underlying tissue network has a strong impact on cell dynamics. If cells are not only influenced by the network but can also alter it by mechanical and chemical interactions, their movement is called mesenchymal. Important examples for mesenchymal movement are fibroblasts in wound healing and metastatic tumour cells. A mathematical model for metastasis is developed in this thesis consisting of a twocomponent fluid model for the fibre network and tissue fluid combined with reactiondiffusion-transport equations for the cell, protease and chemoattractant densities. On the one hand, cells deform the tissue by mechanical forces and thus change the fibre orientations. Additionally, the fibres are degraded by orientation-dependent proteolysis. On the other hand, cells move along network fibres (contact guidance) and their velocity depends on the fibre density. Moreover, cell migration is guided by haptotaxis and chemotaxis. Local existence and uniqueness of a weak solution is proven in two space dimensions for a subsystem, more precisely, for a nonlinear coupled system consisting of a transport equation, four reaction-diffusion-convection equations, an elliptic equation and an ordinary differential equation. A numerical scheme for the complex PDE model is designed in two space dimensions based on Finite Elements and the Discontinuous Galerkin method. The simulations show the impact of the network on cell migration and also the fibre reorientation due to cell forces. Metastasis scenarios present the influence of different effects on invasiveness. Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks Bücher > Fremdsprachige Bücher > Englische Bücher Taschenbuch 03.2010 Buch (fremdspr.), Shaker Media Verlag, 03.2010

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Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks - Anita S. Kettemann
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Anita S. Kettemann:
Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks - neues Buch

ISBN: 9783832289546

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Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks The structure of an underlying tissue network has a strong impact on cell dynamics. If cells are not only influenced by the network but can also alter it by mechanical and chemical interactions, their movement is called mesenchymal. Important examples for mesenchymal movement are fibroblasts in wound healing and metastatic tumour cells. A mathematical model for metastasis is developed in this thesis consisting of a twocomponent fluid model for the fibre network and tissue fluid combined with reactiondiffusion-transport equations for the cell, protease and chemoattractant densities. On the one hand, cells deform the tissue by mechanical forces and thus change the fibre orientations. Additionally, the fibres are degraded by orientation-dependent proteolysis. On the other hand, cells move along network fibres (contact guidance) and their velocity depends on the fibre density. Moreover, cell migration is guided by haptotaxis and chemotaxis. Local existence and uniqueness of a weak solution is proven in two space dimensions for a subsystem, more precisely, for a nonlinear coupled system consisting of a transport equation, four reaction-diffusion-convection equations, an elliptic equation and an ordinary differential equation. A numerical scheme for the complex PDE model is designed in two space dimensions based on Finite Elements and the Discontinuous Galerkin method. The simulations show the impact of the network on cell migration and also the fibre reorientation due to cell forces. Metastasis scenarios present the influence of different effects on invasiveness. Bücher / Fremdsprachige Bücher / Englische Bücher 978-3-8322-8954-6, Shaker Media Verlag

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Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks - Anita S Kettemann
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[ED: Taschenbuch], [PU: Shaker Verlag], Neuware - The structure of an underlying tissue network has a strong impact on cell dynamics. If cells are not only influenced by the network but can also alter it by mechanical and chemical interactions, their movement is called mesenchymal. Important examples for mesenchymal movement are fibroblasts in wound healing and metastatic tumour cells. A mathematical model for metastasis is developed in this thesis consisting of a twocomponent fluid model for the fibre network and tissue fluid combined with reactiondiffusion-transport equations for the cell, protease and chemoattractant densities. On the one hand, cells deform the tissue by mechanical forces and thus change the fibre orientations. Additionally, the fibres are degraded by orientation-dependent proteolysis. On the other hand, cells move along network fibres (contact guidance) and their velocity depends on the fibre density. Moreover, cell migration is guided by haptotaxis and chemotaxis. Local existence and uniqueness of a weak solution is proven in two space dimensions for a subsystem, more precisely, for a nonlinear coupled system consisting of a transport equation, four reaction-diffusion-convection equations, an elliptic equation and an ordinary differential equation. A numerical scheme for the complex PDE model is designed in two space dimensions based on Finite Elements and the Discontinuous Galerkin method. The simulations show the impact of the network on cell migration and also the fibre reorientation due to cell forces. Metastasis scenarios present the influence of different effects on invasiveness., [SC: 0.00], Neuware, gewerbliches Angebot, 211x149x14 mm, [GW: 226g]

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Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks - Anita S Kettemann
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Anita S Kettemann:
Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks - Taschenbuch

ISBN: 9783832289546

[ED: Taschenbuch], [PU: Shaker Verlag], Neuware - The structure of an underlying tissue network has a strong impact on cell dynamics. If cells are not only influenced by the network but can also alter it by mechanical and chemical interactions, their movement is called mesenchymal. Important examples for mesenchymal movement are fibroblasts in wound healing and metastatic tumour cells. A mathematical model for metastasis is developed in this thesis consisting of a twocomponent fluid model for the fibre network and tissue fluid combined with reactiondiffusion-transport equations for the cell, protease and chemoattractant densities. On the one hand, cells deform the tissue by mechanical forces and thus change the fibre orientations. Additionally, the fibres are degraded by orientation-dependent proteolysis. On the other hand, cells move along network fibres (contact guidance) and their velocity depends on the fibre density. Moreover, cell migration is guided by haptotaxis and chemotaxis. Local existence and uniqueness of a weak solution is proven in two space dimensions for a subsystem, more precisely, for a nonlinear coupled system consisting of a transport equation, four reaction-diffusion-convection equations, an elliptic equation and an ordinary differential equation. A numerical scheme for the complex PDE model is designed in two space dimensions based on Finite Elements and the Discontinuous Galerkin method. The simulations show the impact of the network on cell migration and also the fibre reorientation due to cell forces. Metastasis scenarios present the influence of different effects on invasiveness. -, [SC: 0.00], Neuware, gewerbliches Angebot, 21x14.8x cm, [GW: 239g]

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Kettemann, Anita S: Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks
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ISBN: 9783832289546

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Berichte aus der Mathematik Berichte aus der Mathematik Bücher > Wissenschaft > Mathematik, [PU: Shaker Verlag, Aachen]

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Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks
Autor:

Anita S Kettemann

Titel:

Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks

ISBN-Nummer:

Detailangaben zum Buch - Mathematical modelling and numerical simulation of chemosensitive cell dynamics in multidimensional tissue networks


EAN (ISBN-13): 9783832289546
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Shaker

Buch in der Datenbank seit 05.04.2016 04:31:41
Buch zuletzt gefunden am 17.05.2017 17:30:06
ISBN/EAN: 9783832289546

ISBN - alternative Schreibweisen:
978-3-8322-8954-6


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