Read e-book online Dynamics of Cancer:Mathematical Foundations of Oncology PDF

By Dominik Wodarz,Natalia L Komarova

The ebook goals to supply an creation to mathematical versions that describe the dynamics of tumor development and the evolution of tumor cells. it may be used as a textbook for complex undergraduate or graduate classes, and in addition serves as a reference booklet for researchers. The publication has a powerful evolutionary part and displays the point of view that melanoma may be understood rationally via a mixture of mathematical and organic instruments. it may be used either by way of mathematicians and biologists. Mathematically, the e-book starts off with rather easy traditional differential equation versions, and as a consequence explores extra advanced stochastic and spatial types. Biologically, the booklet begins with explorations of the fundamental dynamics of tumor development, together with aggressive interactions between cells, and as a result strikes directly to the evolutionary dynamics of melanoma cells, together with situations of melanoma initiation, development, and remedy. The booklet finishes with a dialogue of complex themes, which describe how many of the mathematical techniques can be utilized to achieve insights right into a number of questions, comparable to epigenetics, telomeres, gene remedy, and social interactions of melanoma cells.

Contents:

    • Teaching Guide
    • Cancer and Somatic Evolution
    • Mathematical Modeling of Tumorigenesis
  • Basic development Dynamics and Deterministic Models:
    • Single Species Growth
    • Two-Species festival Dynamics
    • Competition among Genetically good and risky Cells
    • Chromosomal Instability and Tumor Growth
    • Angiogenesis Inhibitors, Promoters, and Spatial Growth
  • Evolutionary Dynamics and Stochastic Models:
    • Evolutionary Dynamics of Tumor Initiation via Oncogenes: The Gain-of-Function Model
    • Evolutionary Dynamics of Tumor Initiation via Tumor-Suppressor Genes: The Loss-of-Function version and Stochastic Tunneling
    • Microsatellite and Chromosomal Instability in Sporadic and Familial Colorectal Cancers
    • Evolutionary Dynamics in Hierarchical Populations
    • Spatial Evolutionary Dynamics of Tumor Initiation
    • Complex Tumor Dynamics in Space
    • Stochastic Modeling of mobile progress, therapy, and Resistance Generation
    • Evolutionary Dynamics of Drug Resistance in continual Myeloid Leukemia
  • Advanced Topics:
    • Evolutionary Dynamics of Stem-Cell pushed Tumor Growth
    • Tumor progress Kinetics and disorder Progression
    • Epigenetic adjustments and the speed of DNA Methylation
    • Telomeres and melanoma Protection
    • Gene treatment and Oncolytic Virus Therapy
    • Immune Responses, Tumor development, and Therapies
    • Towards larger Complexities: Social Interactions

Readership: Researchers in mathematical biology, mathematical modeling, biology, mathematical oncology.

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Dynamics of Cancer:Mathematical Foundations of Oncology by Dominik Wodarz,Natalia L Komarova


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