Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models

ISBN-13: 9780124157804 / Angielski / Twarda / 2013 / 372 str.

Raina Robeva

Opis

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

Recenzje

"Contributors in biology, in mathematics, and in bioinformatics introduce undergraduate students and their instructors to more applications of discrete mathematics to biology than can be found in standard textbooks. The goal is not to be comprehensive, but to open the door to more advanced and specialized resources." --Reference and Research Book News, August 2013

Spis treści

Preface by Raina Robeva and Terrell Hodge1. Mechanisms for Gene Regulation: A Boolean Network Model of the Lac Operon2. Epigenetic Features of the Lac Operon: Comparing Boolean and Ordinary Differential Equations Models3. Inferring the Topology of Gene Regulatory Networks: An Algebraic Approach to Reverse Engineering4. Global Dynamics Emerging from Local Interactions: Agent-based Modeling for the Life Sciences5. Agent-based Models and Optimal Control in Biology: An Algebraic Approach6. Neuronal Networks: A Discrete Model7. Predicting Plant Population Growth: Modeling with Projection Matrices8. Metabolic Pathways Analysis: A Linear Algebraic Approach9. Identifying CpG Islands: Sliding Windows and Hidden Markov Models10. Codon Usage: From Elementary Probability to Algebraic Geometry11. Phylogenetic Tree Reconstruction: Geometric Approaches