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, Gr�bner 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.
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Table of 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
