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Academic Press Modeling Evolution of Heterogeneous Populations: Theory and Applications

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Product Description Modeling Evolution of Heterogeneous Populations: Theory and Applications describes, develops and provides applications of a method that allows incorporating population heterogeneity into systems of ordinary and discrete differential equations without significantly increasing system dimensionality. The method additionally allows making use of results of bifurcation analysis performed on simplified homogeneous systems, thereby building on the existing body of tools and knowledge and expanding applicability and predictive power of many mathematical models. Review Helps biological scientists model the evolution of heterogeneous populations and visualize evolutionary trajectories About the Author Dr. Irina Kareva is a theoretical biologist, and the primary focus of her research involves using mathematical modeling to study cancer as an evolving ecosystem within the human body, where heterogeneous populations of cancer cells compete for limited resources (i.e., oxygen and glucose), cooperate with each other to fight off predators (the immune system), and disperse and migrate (metastases). Thinking about the disease from an ecological perspective has the power to change how we approach cancer treatment. Dr. Kareva is a Senior Scientist in Simulation and Modeling at Merck Serono,Darmstadt, Germany, where she develops quantitative systems pharmacology (QSP) models to understand and predict the dynamics of drugs in the fields of oncology, immuno-oncology and immunology. In 2017 Dr. Kareva gave a TED talk on using mathematical modeling for biological research. Dr. Kareva's book "Understanding cancer from a systems biology point of view: from observation to theory and back" was published by Elsevier in 2018. Dr. Georgy Karev has significant research experience in various fields of applied mathematics, mathematical modeling, and mathematical biology. He has worked in computational biology and bioinformatics, modeling of genome evolution, Markov models, mathematical genetics, modeling of dynamics of biological populations and communities, ecological modeling. Dr. Karev has developed three new directions in mathematical biology: 1) theory of inhomogeneous population dynamics with applications to models of early biological evolution, population extinction, models mathematical genetics, global demography, and ecology; 2) stochastic modeling of population size dynamics; and 3) theory of multi-dimensional structural models with applications to hierarchical models of complex biological systems. Dr. Karev is a member of the Evolutionary Genomics Research Group at NCBI. His current research is devoted to problems of computational biology including genome evolution, free-scaling networks, evolution of horizontally transferred genes, conceptual cancer models, replicator dynamics, and general theory of selection.

Product Specifications

Format
Paperback
Domain
Amazon UK
Release Date
25 October 2019
Listed Since
09 November 2018

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