Modeling Evolution of Heterogeneous Populations

Theory and Applications

1st Edition - October 16, 2019
Authors: Irina Kareva, Georgy Karev
Language: English
Paperback ISBN:
9 7 8 - 0 - 1 2 - 8 1 4 3 6 8 - 1
eBook ISBN:
9 7 8 - 0 - 1 2 - 8 1 4 4 3 2 - 9

Modeling Evolution of Heterogeneous Populations: Theory and Applications describes, develops and provides applications of a method that allows incorporating population heterogen… Read more

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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.

Irina Kareva

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). 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. Kareva is a Senior Scientist in Simulation and Modeling at EMD Serono, Merck KGaA, where she develops quantitative systems pharmacology (QSP) models to help understand and predict dynamics of new therapeutics.

Affiliations and expertise

Tufts Medical Center, Boston, MA USA

Georgy Karev

Dr. Georgy Karev has significant research experience in various fields of applied mathematics, mathematical modeling, and mathematical biology. His research spans computational biology and bioinformatics, modeling of genome evolution, Markov models, mathematical genetics, ecological modeling and modeling of dynamics of biological populations and communities. 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, 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. 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. Dr. Karev is a member of the Evolutionary Genomics Research Group at NCBI.

Affiliations and expertise

NCBI, NIH, Bethesda, MD, USA

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