Articles liés à Mathematical Methods for Cancer Evolution
Synopsis
1 Molecular Dynamics.- 2 Amounting the Balance.- 3 Averaging Particle Movements.- 4 Mathematical Analysis.
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Mathematical Methods for Cancer Evolution (Lecture Notes on Mathematical Modelling in the Life Sciences)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Mathematical Methods for Cancer Evolution
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Springer Nature Singapore Jun 2017, 2017
ISBN 10 : 9811036705
ISBN 13 : 9789811036705
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Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via several stages are of particular interest. To describe these events, multi-scale models are applied, involving continuously distributed environment variables and several components related to particles. Hybrid simulations are also carried out, using discretization of environment variables and the Monte Carlo method for the principal particle variables. Rigorous mathematical foundations are the bases of these tools.The monograph is composed of four chapters. The first three chapters are concerned with modeling, while the last one is devoted to mathematical analysis. The first chapter deals with molecular dynamics occurring at the early stage of cancer invasion. A pathway network model based on a biological scenario is constructed, and then its mathematical structures are determined. In the second chapter mathematical modeling is introduced, overviewing several biological insights, using partial differential equations. Transport and gradient are the main factors, and several models are introduced including the Keller-Segel systems. The third chapter treats the method of averaging to model the movement of particles, based on mean field theories, employing deterministic and stochastic approaches. Then appropriate parameters for stochastic simulations are examined. The segment model is finally proposed as an application. In the fourth chapter, thermodynamic features of these models and how these structures are applied in mathematical analysis are examined, that is, negative chemotaxis, parabolic systems with non-local term accounting for chemical reactions, mass-conservative reaction-diffusion systems, and competitive systems of chemotaxis. The monograph concludes with the method of the weak scaling limit applied to the Smoluchowski-Poisson equation. 152 pp. Englisch. N° de réf. du vendeur 9789811036705
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Mathematical Methods for Cancer Evolution (Lecture Notes on Mathematical Modelling in the Life Sciences)
Vendeur : Chiron Media, Wallingford, Royaume-Uni
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Paperback. Etat : New. N° de réf. du vendeur 6666-IUK-9789811036705
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Mathematical Methods for Cancer Evolution
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Springer Verlag, Singapore, SG, 2017
ISBN 10 : 9811036705
ISBN 13 : 9789811036705
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Paperback
Vendeur : Rarewaves.com UK, London, Royaume-Uni
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Paperback. Etat : New. 1st ed. 2017. The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via several stages are of particular interest. To describe these events, multi-scale models are applied, involving continuously distributed environment variables and several components related to particles. Hybrid simulations are also carried out, using discretization of environment variables and the Monte Carlo method for the principal particle variables. Rigorous mathematical foundations are the bases of these tools.The monograph is composed of four chapters. The first three chapters are concerned with modeling, while the last one is devoted to mathematical analysis. The first chapter deals with molecular dynamics occurring at the early stage of cancer invasion. A pathway network model based on a biological scenario is constructed, and then its mathematical structures are determined. In the second chapter mathematical modeling is introduced, overviewing several biological insights, using partial differential equations. Transport and gradient are the main factors, and several models are introduced including the Keller?Segel systems. The third chapter treats the method of averaging to model the movement of particles, based on mean field theories, employing deterministic and stochastic approaches. Then appropriate parameters for stochastic simulations are examined. The segment model is finally proposed as an application. In the fourth chapter, thermodynamic features of these models and how these structures are applied in mathematical analysis are examined, that is, negative chemotaxis, parabolic systems with non-local term accounting for chemical reactions, mass-conservative reaction-diffusion systems, and competitive systems of chemotaxis. The monograph concludes with the method of the weak scaling limit applied to the Smoluchowski?Poisson equation. N° de réf. du vendeur LU-9789811036705
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Mathematical Methods for Cancer Evolution
Edité par
Springer Verlag, Singapore, SG, 2017
ISBN 10 : 9811036705
ISBN 13 : 9789811036705
Neuf
Paperback
Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni
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Paperback. Etat : New. 1st ed. 2017. The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via several stages are of particular interest. To describe these events, multi-scale models are applied, involving continuously distributed environment variables and several components related to particles. Hybrid simulations are also carried out, using discretization of environment variables and the Monte Carlo method for the principal particle variables. Rigorous mathematical foundations are the bases of these tools.The monograph is composed of four chapters. The first three chapters are concerned with modeling, while the last one is devoted to mathematical analysis. The first chapter deals with molecular dynamics occurring at the early stage of cancer invasion. A pathway network model based on a biological scenario is constructed, and then its mathematical structures are determined. In the second chapter mathematical modeling is introduced, overviewing several biological insights, using partial differential equations. Transport and gradient are the main factors, and several models are introduced including the Keller?Segel systems. The third chapter treats the method of averaging to model the movement of particles, based on mean field theories, employing deterministic and stochastic approaches. Then appropriate parameters for stochastic simulations are examined. The segment model is finally proposed as an application. In the fourth chapter, thermodynamic features of these models and how these structures are applied in mathematical analysis are examined, that is, negative chemotaxis, parabolic systems with non-local term accounting for chemical reactions, mass-conservative reaction-diffusion systems, and competitive systems of chemotaxis. The monograph concludes with the method of the weak scaling limit applied to the Smoluchowski?Poisson equation. N° de réf. du vendeur LU-9789811036705
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Mathematical Methods for Cancer Evolution
Edité par
Springer Nature Singapore, 2017
ISBN 10 : 9811036705
ISBN 13 : 9789811036705
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides appropriate models for each biological phenomenon against not necessarily complete measurements, by a systematic study of mathematical modelingPresents a rigorous study of stochastic simulation, a modern, promising me. N° de réf. du vendeur 135017724
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Mathematical Methods for Cancer Evolution
Edité par
Springer Nature Singapore, Springer Nature Singapore, 2017
ISBN 10 : 9811036705
ISBN 13 : 9789811036705
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Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via several stages are of particular interest. To describe these events, multi-scale models are applied, involving continuously distributed environment variables and several components related to particles. Hybrid simulations are also carried out, using discretization of environment variables and the Monte Carlo method for the principal particle variables. Rigorous mathematical foundations are the bases of these tools.The monograph is composed of four chapters. The first three chapters are concerned with modeling, while the last one is devoted to mathematical analysis. The first chapter deals with molecular dynamics occurring at the early stage of cancer invasion. A pathway network model based on a biological scenario is constructed, and then its mathematical structures are determined. In the second chapter mathematical modeling is introduced, overviewing several biological insights, using partial differential equations. Transport and gradient are the main factors, and several models are introduced including the Keller-Segel systems. The third chapter treats the method of averaging to model the movement of particles, based on mean field theories, employing deterministic and stochastic approaches. Then appropriate parameters for stochastic simulations are examined. The segment model is finally proposed as an application. In the fourth chapter, thermodynamic features of these models and how these structures are applied in mathematical analysis are examined, that is, negative chemotaxis, parabolic systems with non-local term accounting for chemical reactions, mass-conservative reaction-diffusion systems, and competitive systems of chemotaxis. The monograph concludes with the method of the weak scaling limit applied to the Smoluchowski-Poisson equation. N° de réf. du vendeur 9789811036705
Quantité disponible : 1 disponible(s)
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Mathematical Methods for Cancer Evolution
Edité par
Springer Nature Singapore, Springer Nature Singapore Jun 2017, 2017
ISBN 10 : 9811036705
ISBN 13 : 9789811036705
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via several stages are of particular interest. To describe these events, multi-scale models are applied, involving continuously distributed environment variables and several components related to particles. Hybrid simulations are also carried out, using discretization of environment variables and the Monte Carlo method for the principal particle variables. Rigorous mathematical foundations are the bases of these tools.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 152 pp. Englisch. N° de réf. du vendeur 9789811036705
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Mathematical Methods for Cancer Evolution (Lecture Notes on Mathematical Modelling in the Life Sciences)
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 144. N° de réf. du vendeur 26378356139
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Mathematical Methods for Cancer Evolution (Lecture Notes on Mathematical Modelling in the Life Sciences)
impression à la demandeVendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. Print on Demand pp. 144. N° de réf. du vendeur 385547892
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