| Description |
1 online resource (xxi, 349 pages) : illustrations |
| Summary |
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 toolsSpans several mathematical techniques at basic to advanced levels Offers broad perspective on the uses of algebraic geometry/polynomial algebra in molecular systems biology. |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Ch. 1. Mechanisms of gene regulation: boolean network models of the lactose operon in Escherichia coli / Raina Robeva, Bessie Kirkwood and Robin Davies -- Ch. 2. Bistability in the lactose operon of Escherichia coli: a comparison of differential equation and boolean network models / Raina Robeva and Necmettin Yildririm -- Ch. 3. Inferring the topology of gene regulatory networks: an algebraic approach to reverse engineering / Brandilyn Stigler and Elena Dimitrova -- Ch. 4. Global dynamics emerging from local interactions: agent-based modeling for the life sciences / David Gammack, Elsa Schaefer and Holly Gaff -- Ch. 5. Agent-based models and optimal control in biology: a discrete approach / Reinhard Laubenbacher, Franziska Hinkelmann and Matt Oremland -- Ch. 6. Neuronal networks: a discrete model / Winfried Just, Sungwoo Ahn and David Terman -- Ch. 7. Predicting population growth: modeling with projection matrices / Janet Steven and James Kirkwood -- Ch. 8. Metabolic pathways analysis: a linear algebraic approach / Terrell L. Hodge -- Ch. 9. Identifying CpG islands: sliding window and hidden Markov model approaches / Raina Robeva, Aaron Garrett, James Kirkwood and Robin Davies -- Ch. 10. Phylogenetic tree reconstruction: geometric approaches / David Haws, Terrell L. Hodge and Ruriko Yoshida. |
| Subject |
Biomathematics.
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Biology -- Mathematical models.
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Biological systems -- Mathematical models.
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Biomathématiques. |
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Biologie -- Modèles mathématiques. |
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Systèmes biologiques -- Modèles mathématiques. |
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Biological systems -- Mathematical models |
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Biology -- Mathematical models |
|
Biomathematics |
| Added Author |
Robeva, Raina S., editor.
|
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Hodge, Terrell L., editor.
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| Other Form: |
Print version: Mathematical concepts and methods in modern biology. Hodge, Terrell L. Hodge. London Academic 2013 0124157807 (OCoLC)827787498 |
| ISBN |
9780124157934 (electronic bk.) |
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0124157939 (electronic bk.) |
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