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Evolution of Molecular Phenotypes - A Physicist’s View of Darwin’s Principle
The power of Darwinian evolution is based on the dichotomy of genotype and phenotype with the former being the object under variation and the latter...
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Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles
Two possible dangers of an extensive varicella vaccination program are more varicella (chickenpox) cases in adults, when the complication rates are...
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Discretization of Continuous-Valued Data in Symbolic Classification Learning
Symbolic data analysis aims at extending classical data analysis to data representing classes of individuals instead of single individuals. A major...
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A mathematical model for simulating virus transport through synthetic barriers
Synthetic barriers such as gloves, condoms and masks are widely used in efforts to prevent disease transmission. Due to manufacturing defects, tears...
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Drug Kinetics
Drug kinetics have already been briefly discussed in Chapter 13 and an example given. However, there are many other examples in the literature. The...
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Flexible Optimization and Evolution of Underwater Autonomous Agents
The “Ocean SAmpling MObile Network” (SAMON) Project is a simulation testbed for Web-based interaction among oceanographers and simulation based...
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Ratchet Scan and Disjoint Statistics
A general definition of ratchet scan and disjoint statistics is given. The known results for the disjoint statistic, the linear ratchet scan...
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Rough Sets and Their Applications in Data Mining
The main goal of data mining is to mine knowledge from large scale of datasets. And the key requirement of data mining is concise representation,...
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Decision and Planning in Research and Development
The importance of research and development has been increasing steadily during the last decades and is still growing. As a consequence, methods and...
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Models
In mechanics, models with aftereffect are used to describe stress-train states of materials, for example of wood, polymers, plastics, ice, etc. The...
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Modelling and analysis of time-lags in some basic patterns of cell proliferation
In this paper, we present a systematic approach for obtaining qualitatively and quantitatively correct mathematical models of some biological...
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Viral Hepatitis B
This chapter deals with mathematical modeling of viral hepatitis B. Viral hepatitis B is a world-spread infectious disease which is accompanied...
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Virus load and antigenic diversity
In this paper, we analyse mathematical models for the interaction between virus replication and immune responses. We show that the immune system can...
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The Case of HIV and AIDS
For a decade, there has been increasing concern about “AIDS,” and a virus called “HIV” which is said to cause “AIDS.” Having named this virus...
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A Structural Time Series Approach to Forecasting the Space-Time Incidence of Infectious Diseases: Post-War Measles Elimination Programmes in the United States and Iceland
When the epidemiological history of the present century comes to be written, the outstanding success that historians will be able to record is the...
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Survey of Mathematical Models in Immunology
A large amount of observations on the course of various infectious diseases has been accumulated by immunologists and clinicians up to the present,...
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Mathematical Modeling of Antiviral and Antibacterial Immune Responses
We shall construct in this chapter the model of viral disease developed by Marchuk and Petrov [200] on the basis of recent advances in immunology....
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Identification of Parameters of Models
Mathematical modeling in immunology requires above all an extremely precise statement of the original problem. The very statement provides the basis...
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Adjoint Equations and Sensitivity Study for Mathematical Models of Infectious Diseases
We present in this chapter an approach developed on the basis of adjoint equations for the sensitivity study of the functional of problems arising in...