Mathematical Modeling of Biological Systems, Volume II

Epidemiology, Evolution and Ecology,Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods

ISBN: 978-0-8176-4555-7 (Print) 978-0-8176-4556-4 (Online)

Table of contents (32 chapters)

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  1. Front Matter

    Pages I-XVIII

  2. Epidemiology

    1. Front Matter

      Pages 1-1

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      Pages 3-9

      Could Low-Efficacy Malaria Vaccines Increase Secondary Infections in Endemic Areas?

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      Pages 11-21

      Modeling of the Invasion of a Fungal Disease over a Vineyard

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      Pages 23-34

      An Algorithm for Parameter Estimation in Nosocomial Infections

  3. Evolution and Ecology

    1. Front Matter

      Pages 35-35

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      Pages 37-48

      Evolutionarily Stable Investment in Anti-Predatory Defences and Aposematic Signalling

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      Pages 49-62

      The Tangled Nature Model of Evolutionary Ecology: An Overview

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      Pages 63-74

      Relative Advantage and Fundamental Theorems of Natural Selection

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      Pages 75-85

      Competitive Exclusion Between Year-Classes in a Semelparous Biennial Population

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      Pages 87-99

      On the Impact ofWinter Conditions on the Dynamics of an Isolated Population

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      Pages 101-107

      Planning for Biodiversity Conservation Using Stochastic Programming

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      Pages 109-120

      A Diffusion-Reaction Model of a Mixed-Culture Biofilm Arising in Food Safety Studies

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      Pages 121-129

      The Periodical Population Dynamics of Lottery Models Including the Effect of Undeveloped Seeds

  4. Immunology

    1. Front Matter

      Pages 131-131

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      Pages 133-144

      An Automata-Based Microscopic Model Inspired by Clonal Expansion

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      Pages 145-155

      Th1–Th2 Regulation and Allergy: Bifurcation Analysis of the Non-Autonomous System

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      Pages 157-167

      Architecture of Randomly Evolving Idiotypic Networks

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      Pages 169-181

      Analysis of Infectious Mortality by Means of the Individualized Risk Model

  5. Neural Systems and the Brain

    1. Front Matter

      Pages 183-183

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      Pages 185-192

      Neuromorphological Phenotyping in Transgenic Mice: A Multiscale Fractal Analysis

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      Pages 193-204

      A Quantitative Model of ATP-Mediated Calcium Wave Propagation in Astrocyte Networks

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      Pages 205-212

      Dynamics of Neural Fields with Distributed Transmission Speeds

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      Pages 213-224

      Estimation of Differential Entropy for Positive Random Variables and Its Application in Computational Neuroscience

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      Pages 225-236

      Dynamics of Integrate-and-Fire Models

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