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Full Description
Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models, Second Edition offers an updated, quantitative framework essential for analyzing, predicting, and modulating the behavior of complex biological systems. This book, structured around project-based learning and problem-solving principles, integrates crucial mathematical concepts, methods, and tools contextualized by vital questions raised in modern biology. Topics covered include neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. New mathematical modeling tools featured include Boolean and ordinary differential equations, projection matrices, agent-based modeling, and several algebraic approaches. Updated software manuals and codes are provided, making this a valuable resource for health professionals, scientists, researchers, and students in related fields.
Contents
1. Modeling Gene Regulation Using Boolean Network Models
2. Bistability in Bacterial Genetic Networks
3. Inferring the Topology of Gene Regulatory Networks: An Algebraic Approach to Reverse Engineering
4. Stochastic Boolean Networks b including Probabilistic Boolean networks, perturbed Boolean networks, and probabilistic edge operators.
5. Global Dynamics Emerging from Local Interactions: Agent-Based Modeling for the Life Sciences
6. Agent-Based Models and Optimal Control in Biology: A Discrete Approach
7. Neuronal Networks: A Discrete Model by (TBD) Proposed Updates: P
8. Predicting Population Growth: Modeling with Projection Matrices b
9. Metabolic Pathway Analysis: A Linear Algebra Approach by (TBD)
10. Identifying CpG Islands Using Hidden Markov Models
11. Tropical Linear Algebra Approaches in Phylogenetics
12. Phylogenetic Tree Reconstruction: Geometric Approaches Pl
