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Full Description
Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models, Second Edition presents an updated, quantitative framework for analyzing, predicting, and modulating complex biological systems. Structured around project-based learning and problem-solving, it integrates essential mathematical concepts and methods in the context of key biological questions. Topics include gene regulatory and neuronal networks, CpG islands, plant population growth, interacting populations, phylogenetics, and phylogenomics. Modeling tools span discrete dynamical systems (including deterministic and stochastic Boolean networks), ordinary differential equations, projection matrices, agent-based modeling, polynomial ideals, Gröbner bases, tropical algebra, and other algebraic approaches. Computation is supported by a range of software tools, including some developed for this book, as well as open source, freely available, and proprietary platforms. Updated code examples and step-by-step instructions illustrate software use, making this a valuable resource for health professionals, scientists, researchers, and students in related fields.
Contents
Modeling gene regulation using Boolean network models
Bistability in bacterial genetic networks: A comparison of differential equations and Boolean network models
Inferring the topology of gene regulatory networks: An algebraic approach to reverse engineering
Stochastic Boolean Networks
Global dynamics emerging from local interactions: Agent-based modeling for the life sciences
Agent-based models and optimal control in biology: A discrete approach
Neuronal networks: A discrete model
Predicting population growth: Modeling with projection matrices
Identifying CpG islands: Sliding window and hidden Markov model approaches
Phylogenetic tree reconstruction: Geometric approaches
Tropical linear algebra and its applications to phylogenomics
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