Ebook: Mathematical Modeling of Biological Systems, Volume II: Epidemiology, Evolution and Ecology,Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods

This two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. Highlighted throughout both works are mathematical and computational approaches to examine central problems in the life sciences, ranging from the organizational principles of individual cells to the dynamics of large populations.

Volume Icovers a number of areas, including:

* Cellular Biophysics

* Regulatory Networks

* Developmental Biology

* Biomedical Applications

* Data Analysis and Model Validation

Volume IIexamines a diverse range of subjects, including:

* Epidemiology

* Evolution and Ecology

* Immunology

* Neural Systems and the Brain

* Innovative Mathematical Methods and Education

Both volumes will be excellent reference texts for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

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This two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. Highlighted throughout both works are mathematical and computational approaches to examine central problems in the life sciences, ranging from the organizational principles of individual cells to the dynamics of large populations.

Volume Icovers a number of areas, including:

* Cellular Biophysics

* Regulatory Networks

* Developmental Biology

* Biomedical Applications

* Data Analysis and Model Validation

Volume IIexamines a diverse range of subjects, including:

* Epidemiology

* Evolution and Ecology

* Immunology

* Neural Systems and the Brain

* Innovative Mathematical Methods and Education

Both volumes will be excellent reference texts for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

---

This two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. Highlighted throughout both works are mathematical and computational approaches to examine central problems in the life sciences, ranging from the organizational principles of individual cells to the dynamics of large populations.

Volume Icovers a number of areas, including:

* Cellular Biophysics

* Regulatory Networks

* Developmental Biology

* Biomedical Applications

* Data Analysis and Model Validation

Volume IIexamines a diverse range of subjects, including:

* Epidemiology

* Evolution and Ecology

* Immunology

* Neural Systems and the Brain

* Innovative Mathematical Methods and Education

Both volumes will be excellent reference texts for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

Content:
Front Matter....Pages I-XVIII
Front Matter....Pages 1-1
Could Low-Efficacy Malaria Vaccines Increase Secondary Infections in Endemic Areas?....Pages 3-9
Modeling of the Invasion of a Fungal Disease over a Vineyard....Pages 11-21
An Algorithm for Parameter Estimation in Nosocomial Infections....Pages 23-34
Front Matter....Pages 35-35
Evolutionarily Stable Investment in Anti-Predatory Defences and Aposematic Signalling....Pages 37-48
The Tangled Nature Model of Evolutionary Ecology: An Overview....Pages 49-62
Relative Advantage and Fundamental Theorems of Natural Selection....Pages 63-74
On the Impact ofWinter Conditions on the Dynamics of an Isolated Population....Pages 75-85
Planning for Biodiversity Conservation Using Stochastic Programming....Pages 87-99
A Diffusion-Reaction Model of a Mixed-Culture Biofilm Arising in Food Safety Studies....Pages 101-107
The Periodical Population Dynamics of Lottery Models Including the Effect of Undeveloped Seeds....Pages 109-120
Front Matter....Pages 121-129
An Automata-Based Microscopic Model Inspired by Clonal Expansion....Pages 131-131
Th1–Th2 Regulation and Allergy: Bifurcation Analysis of the Non-Autonomous System....Pages 133-144
Architecture of Randomly Evolving Idiotypic Networks....Pages 145-155
Analysis of Infectious Mortality by Means of the Individualized Risk Model....Pages 157-167
Front Matter....Pages 169-181
Neuromorphological Phenotyping in Transgenic Mice: A Multiscale Fractal Analysis....Pages 183-183
A Quantitative Model of ATP-Mediated Calcium Wave Propagation in Astrocyte Networks....Pages 185-192
Dynamics of Neural Fields with Distributed Transmission Speeds....Pages 193-204
Estimation of Differential Entropy for Positive Random Variables and Its Application in Computational Neuroscience....Pages 205-212
Dynamics of Integrate-and-Fire Models....Pages 213-224
Front Matter....Pages 225-236
A Monte Carlo Method Used for the Identification of the Muscle Spindle....Pages 183-183
Multi-Scale Analysis of Brain Surface Data....Pages 237-243
The Spike Generation Processes: A Case for Low Level Computation....Pages 245-253
Front Matter....Pages 255-263
Offdiagonal Complexity: A Computationally Quick Network Complexity Measure—Application to Protein Networks and Cell Division....Pages 265-276
An Analytically Solvable Asymptotic Model of Atrial Excitability....Pages 277-277
A Bayesian Approach to the Quantitative Polymerase Chain Reaction....Pages 279-287
A Model of Poplar (Populus sp.) Physiology and Morphology Based on Relational Growth Grammars....Pages 289-302
Asymptotic Behavior of a Two-Dimensional Keller–Segel Model with and without Density Control....Pages 303-312
Saturation Effects in Population Dynamics: Use Branching Processes or Dynamical Systems?....Pages 313-322
Modelling and Simulation by Stochastic Interacting Particle Systems....Pages 323-337
Teaching Mathematical Biology in a Summer School for Undergraduates....Pages 339-351
Back Matter....Pages 353-367
....Pages 369-377