Mathematical Concepts and Methods in Modern Biology (eBook, ePUB)

Using Modern Discrete Models
Redaktion: Robeva, Raina; Hodge, Terrell

• Format: ePub

Produktbeschreibung

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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Produktdetails

• Verlag: Elsevier Science & Techn.
• Seitenzahl: 372
• Erscheinungstermin: 26. Februar 2013
• Englisch
• ISBN-13: 9780124157934
• Artikelnr.: 38146906

Inhaltsangabe

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