Mathematical concepts and methods in modern biology : using modern discrete models /
Robeva, Raina S.,editor.
Hodge, Terrell L.,editor.
Arising from current scientific publications and on-going investigations by leading researchers this book is an essential resource for anyone needing to better understand the interdisciplinary relationship between mathematics and biology. The book is organized by research topic of interest and introduces mathematical models and methods specifically to that topic.
Includes bibliographical references and index.
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.
Arising from current scientific publications and on-going investigations by leading researchers this book is an essential resource for anyone needing to better understand the interdisciplinary relationship between mathematics and biology. The book is organized by research topic of interest and introduces mathematical models and methods specifically to that topic.
Biomathematics.
Biology
Biological systems