Explorations of Mathematical Models in Biology with MATLAB

Explore and analyze the solutions of mathematical models from diverse disciplines As biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the user-friendly MATLAB, to focus more on building and analyzing models as opposed to confi...

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Bibliographic Details
Main Author: Mazen Shahin
Format: Printed Book
Published: Hoboken, New Jersey Wiley 2014
Subjects:
Biology > Mathematical models. MATLAB.
Table of Contents:
  • 1. Overview of discrete dynamical modeling and MATLAB
  • 1.1 Introduction to Modeling and Difference Equations
  • 1.2 The Modeling Process
  • 1.3 Getting Started with MATLAB
  • 2. Modeling with first-order difference equations
  • 2.1 Modeling with First-Order Linear Homogenous Difference Equations with Constant Coefficients
  • 2.2 Modeling with Nonhomogenous First-Order Linear Difference Equations
  • 2.3 Modeling with Nonlinear Difference Equations: Logistic Growth Models
  • 2.4 Logistic Equations and Chaos
  • 3. Modeling with matrices
  • 3.1 System of Linear Equations Having Unique Solutions
  • 3.2 The Gauss-Jordan Elimination Method with Models
  • 3.3 Introduction to Matrices
  • 3.4 Determinants and Systems of Linear Equations
  • 3.5 Eigenvalues and Eigenvectors
  • 3.6 Eigenvalues and Stability of Linear Models
  • 4. Modeling with systems of linear difference equations
  • 4.1 Modeling with Markov Chains
  • 4.2 Age-Structured Population Models
  • 4.3 Modeling with Second-Oder Linear Difference Equations
  • 5. Modeling with nonlinear systems of difference equations
  • 5.1 Modeling of Interacting Species
  • 5.2 The SIR Model of Infectious Disease
  • 5.3 Modeling with Second-Order Nonlinear Difference Equations.

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