Mathematical concepts and methods in modern biology : using modern discrete models / edited by Raina Robeva, Sweet Briar College, Sweet Briar, VA, USA, Terrell L. Hodge, Western Michigan Unigversity, Kalamazoo, MI, USA.

Format:

Book

Author/Creator:

Robeva, Raina, author.

Contributor:

Robeva, Raina S., editor.

Hodge, Terrell L., editor.

Series:

Gale eBooks

Language:

English

Subjects (All):

Biomathematics.

Biology--Mathematical models.

Biology.

Biological systems--Mathematical models.

Biological systems.

Physical Description:

1 online resource (xxi, 349 pages) : illustrations (some color)

Edition:

1st edition

Place of Publication:

Amsterdam ; Boston : Elsevier/AP, 2013.

London : Academic Press, 2013.

Language Note:

English

System Details:

text file

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 thes

Contents:

Half Title; Copyright; Contents; Contributors; Preface; Mechanisms of Gene Regulation: Boolean Network Models of the Lactose Operon in Escherichia coli; 1.1 Introduction; 1.2 E. coli and the lac Operon; 1.3 Boolean Network Models of the lac Operon; 1.3.1 Identifying the Model Variables and Parameters; 1.3.2 Boolean Network Models; 1.3.3 Creating a Boolean Model of the Lac Operon; 1.3.4 Initial Testing of the Boolean Model of the Lac Operon from Eqs. (1.4); 1.3.5 Using Discrete Visualizer of Dynamics (DVD) to Test a Boolean Model; 1.3.6 How to Recognize a Deficient Model

1.3.7 A More Refined Boolean Model of the Lac Operon1.4 Determining the Fixed Points of Boolean Networks; 1.5 Conclusions and Discussion; 1.6 Supplementary Materials; References; Bistability in the Lactose Operon of Escherichia coli: A Comparison of Differential Equation and Boolean Network Models; 2.1 Introduction; 2.2 The Lactose Operon of Escherichia coli; 2.3 Modeling Biochemical Reactions with Differential Equations; 2.3.1 Enzymatic Reactions and the Michaelis-Menten Equation; 2.3.2 Multi-Molecule Binding and Hill Equations; 2.4 The Yildirim-Mackey Differential Equation Models

2.4.1 Model Justification2.4.2 Numerical Simulation of the Yildirim-Mackey Models and Bistability; 2.5 Boolean Modeling of Biochemical Interactions; 2.6 Boolean Approximations of the Yildirim-Mackey Models; 2.6.1 Boolean Variants of the 3-Variable Model; 2.6.2 Boolean Variants of the 5-Variable Model; 2.7 Conclusions and Discussion; 2.8 Supplementary Materials; References; Inferring the Topology of Gene Regulatory Networks: An Algebraic Approach to Reverse Engineering; 3.1 Introduction; 3.1.1 Gene Regulatory Networks in Molecular Biology; 3.1.2 Reverse Engineering of Gene Regulatory Networks

3.2 Polynomial Dynamical Systems (PDSs)3.3 Computational Algebra Preliminaries; 3.4 Construction of the Model Space: A Reverse Engineering Algorithm; 3.5 Model Selection; 3.5.1 Preprocessing: Minimal Sets Algorithm; 3.5.2 Postprocessing: The Gröbner Fan Method; 3.6 Discretization; References; Global Dynamics Emerging from Local Interactions: Agent-Based Modeling for the Life Sciences; 4.1 Introduction; 4.1.1 Agent-Based Modeling and the Biology Mind Set; 4.1.2 A Brief Note About Platforms; 4.1.2.1 ABM Modeling Exercise: Disease Spread; 4.1.3 A Brief History of Agent-Based Modeling

4.1.3.1 ABM Modeling Exercises: Segregation4.1.3.2 ABM Modeling Exercises: Flocking; 4.2 Axon Guidance; 4.2.1 Background; 4.2.2 Understanding the Domain: Axon Biology; 4.2.3 Breaking Down the Problem; 4.2.4 Constructing a Model of Axon Development; 4.3 An Agent-Based Model for Cholera; 4.3.1 Model Description; 4.3.2 ABM Modeling Exercises: Cholera and the NetLogo BehaviorSpace; 4.4 Use and Description of ABM in Research: Tick-Borne; 4.4.1 The Model; 4.4.2 Purpose; 4.4.3 State Variables and Scales; 4.4.4 Process Overview and Scheduling; 4.4.5 Design Concepts; 4.4.6 Input

4.4.7 Simulation Experiments

Notes:

"Elsevier science & technology books."

Includes bibliographical references and index.

Description based on publisher supplied metadata and other sources.

ISBN:

9780124157934

0124157939

OCLC:

830832660