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Mathematics for Life Science and Medicine

Contributor(s): Takeuchi, Yasuhiro [editor.] | Iwasa, Yoh [editor.] | Sato, Kazunori [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Biological and Medical Physics, Biomedical Engineering: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.Description: X, 228 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540344261.Subject(s): Mathematics | Immunology | Virology | Biomathematics | Biophysics | Biological physics | Statistical physics | Dynamical systems | Mathematics | Mathematical and Computational Biology | Immunology | Virology | Physiological, Cellular and Medical Topics | Statistical Physics, Dynamical Systems and Complexity | Biophysics and Biological PhysicsDDC classification: 570.285 Online resources: Click here to access online
Contents:
Mathematical Studies of Dynamics and Evolution of Infectious Diseases -- Basic Knowledge and Developing Tendencies in Epidemic Dynamics -- Delayed SIR Epidemic Models for Vector Diseases? -- Epidemic Models with Population Dispersal -- Spatial-Temporal Dynamics in Nonlocal Epidemiological Models -- Pathogen Competition and Coexistence and the Evolution of Virulence -- Directional Evolution of Virus Within a Host Under Immune Selection -- Stability Analysis of a Mathematical Model of the Immune Response with Delays -- Modeling Cancer Treatment Using Competition: A Survey.
In: Springer eBooksSummary: Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.
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Mathematical Studies of Dynamics and Evolution of Infectious Diseases -- Basic Knowledge and Developing Tendencies in Epidemic Dynamics -- Delayed SIR Epidemic Models for Vector Diseases? -- Epidemic Models with Population Dispersal -- Spatial-Temporal Dynamics in Nonlocal Epidemiological Models -- Pathogen Competition and Coexistence and the Evolution of Virulence -- Directional Evolution of Virus Within a Host Under Immune Selection -- Stability Analysis of a Mathematical Model of the Immune Response with Delays -- Modeling Cancer Treatment Using Competition: A Survey.

Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.

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