Mathematical methods for cancer evolution / Takashi Suzuki.
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, in...
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Full Text (via Springer) |
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| Format: | eBook |
| Language: | English |
| Published: |
Singapore :
Springer,
2017.
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| Series: | Lecture notes on mathematical modelling in the life sciences
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Table of Contents:
- Preface; Contents; 1 Molecular Dynamics; 1.1 Pathway Modeling; 1.2 Pathway Analysis; 2 Amounting the Balance; 2.1 Keller-Segel Model; 2.2 Invasion Model; 2.3 Smoluchowski-ODE Systems; 2.4 Smoluchowski-Poisson Systems; 3 Averaging Particle Movements; 3.1 Deterministic Theory; 3.2 Random Theory; 3.3 Stochastic Simulations; 3.4 Segment Model; 4 Mathematical Analysis; 4.1 Negative Chemotaxis; 4.2 Parabolic Systems with Non-local Term; 4.3 Reaction-Diffusion Systems; 4.4 Competitive System of Chemotaxis; 4.5 Method of the Weak Scaling Limit; Bibliography ; Index.