
Mathematical Concepts and Methods in Modern Biology
Using Modern Discrete Models
- 372 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Mathematical Concepts and Methods in Modern Biology
Using Modern Discrete Models
About this book
Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software.- Features self-contained chapters with real biological research examples using freely available computational tools- Spans several mathematical techniques at basic to advanced levels- Offers broad perspective on the uses of algebraic geometry/polynomial algebra in molecular systems biology
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Table of contents
- Cover image
- Title page
- Table of Contents
- Front Matter
- Copyright
- Contributors
- Preface
- Chapter 1. Mechanisms of Gene Regulation: Boolean Network Models of the Lactose Operon in Escherichia coli
- Chapter 2. Bistability in the Lactose Operon of Escherichia coli: A Comparison of Differential Equation and Boolean Network Models
- Chapter 3. Inferring the Topology of Gene Regulatory Networks: An Algebraic Approach to Reverse Engineering
- Chapter 4. Global Dynamics Emerging from Local Interactions: Agent-Based Modeling for the Life Sciences
- Chapter 5. Agent-Based Models and Optimal Control in Biology: A Discrete Approach
- Chapter 6. Neuronal Networks: A Discrete Model
- Chapter 7. Predicting Population Growth: Modeling with Projection Matrices
- Chapter 8. Metabolic Pathways Analysis: A Linear Algebraic Approach
- Chapter 9. Identifying CpG Islands: Sliding Window and Hidden Markov Model Approaches
- Chapter 10. Phylogenetic Tree Reconstruction: Geometric Approaches
- Index