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.
- 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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Additional info for Dynamics of Cancer:Mathematical Foundations of Oncology
Dynamics of Cancer:Mathematical Foundations of Oncology by Dominik Wodarz,Natalia L Komarova