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

Other | February 26, 2013

byRaina Robeva, Raina Robeva, Terrell Hodge

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Mathematical Concepts and Methods in Modern Biologyoffers 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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From the Publisher

Mathematical Concepts and Methods in Modern Biologyoffers 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 pr...

Format:OtherDimensions:372 pages, 1 × 1 × 1 inPublished:February 26, 2013Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0124157939

ISBN - 13:9780124157934

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Table of Contents

Prefaceby Raina Robeva and Terrell HodgeChapter 1.Mechanisms for Gene Regulation: A Boolean Network Model of the Lac OperonChapter 2.Epigenetic Features of the Lac Operon: Comparing Boolean and Ordinary Differential Equations ModelsChapter 3.Inferring the Topology of Gene Regulatory Networks: An Algebraic Approach to Reverse EngineeringChapter 4.Global Dynamics Emerging from Local Interactions: Agent-based Modeling for the Life SciencesChapter 5.Agent-based Models and Optimal Control in Biology: An Algebraic ApproachChapter 6.Neuronal Networks: A Discrete ModelChapter 7.Predicting Plant Population Growth: Modeling with Projection MatricesChapter 8.Metabolic Pathways Analysis: A Linear Algebraic ApproachChapter 9.Identifying CpG Islands: Sliding Windows and Hidden Markov ModelsChapter 10.Codon Usage: From Elementary Probability to Algebraic GeometryChapter 11.Phylogenetic Tree Reconstruction: Geometric Approaches