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

The booklet goals to supply an creation to mathematical types that describe the dynamics of tumor progress and the evolution of tumor cells. it may be used as a textbook for complex undergraduate or graduate classes, and likewise serves as a reference booklet for researchers. The publication has a powerful evolutionary part and displays the perspective that melanoma might be understood rationally via a mixture of mathematical and organic instruments. it may be used either through mathematicians and biologists. Mathematically, the e-book begins with rather uncomplicated traditional differential equation versions, and therefore explores extra complicated stochastic and spatial types. Biologically, the booklet starts off with explorations of the elemental dynamics of tumor progress, together with aggressive interactions between cells, and consequently strikes directly to the evolutionary dynamics of melanoma cells, together with situations of melanoma initiation, development, and therapy. The publication finishes with a dialogue of complex issues, which describe how a few of the mathematical suggestions can be utilized to achieve insights right into a number of questions, akin 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 pageant Dynamics
  • Competition among Genetically sturdy and volatile 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 ailment 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 greater Complexities: Social Interactions

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