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Linear Regression
Post-menopausal women who exercise less tend to have lower bone mineral density (BMD), putting them at increased risk for fractures. But they also...
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Restricted Bayesian Network Structure Learning
Learning the structure of a Bayesian network from data is a difficult problem, as its associated search space is superexponentially large. As a...
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Bistable Waves in an Epidemic Model
The existence, uniqueness up to translation and global exponential stability with phase shift of bistable travelling waves are established for a...
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Optimal viral production
Viruses reproduce by multiplying within host cells. The reproductive fitness of a virus is proportional to the number of offspring it can produce...
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Inferring population history from genealogical trees
Inference about population history from DNA sequence data has become increasingly popular. For human populations, questions about whether a...
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A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
We consider a two-dimensional model of cell-to-cell spread of HIV-1 in tissue cultures, assuming that infection is spread directly from infected...
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Clonal exhaustion as a result of immune deviation
An overwhelming virus infection that spreads within a few days throughout the host can cause deletion of the specific cytotoxic T lymphocytes (CTL)....
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Progression age enhanced backward bifurcation in an epidemic model with super-infection
We consider a model for a disease with a progressing and a quiescent exposed class and variable susceptibility to super-infection. The model...
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Homogeneous Dynamical Systems and the Age-Structured SIR Model with Proportionate Mixing Incidence
The simplest model of a population is Malthus model. It states that the rate of change of the number of individuals in a population is proportional...
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Molecular Dynamics Studies of Micelle and Capsid Self-assembly
Molecular dynamics methods are used to study supramolecular self-assembly. The examples described here involve micelle formation and the growth of...
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Topo-Typology of the Structure of Full-Scaled Clinical Diagnoses in Modern Medical Information Systems and Technologies
This paper describes the state-of-the-art medical-information systems and technologies at the beginning of the 21st century. The complexity of...
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Fractal Dimension Exponent for Quantitative Evaluation of Liver Extracellular Matrix in Biopsy Specimens
Complexity is the main feature of every biological system, including human organs, tissues, cells and sub-cellular components. This property of the...
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Automatic Recurrent and Feed-Forward ANN Rule and Expression Extraction with Genetic Programming
Various rule-extraction techniques using ANN have been used so far, most of them being applied on multi-layer ANN, since they are more easily...
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Needle Sharing Infections among Heterogeneous IVDUS
This paper begins with an alternative derivation of the coefficients in a known probability generating function (pgf ), namely that for the number...
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HIV-1 infection and low steady state viral loads
Highly active antiretroviral therapy (HAART) reduces the viral burden in human immunodeficiency virus type 1 (HIV-1) infected patients below the...
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Mathematical Challenges from Molecular Evolution
The first documented revolution in biology took place last century when Charles Darwin’s centennial book on the origin of species was published 1859...
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On the Role of Variable Latent Periods in Mathematical Models for Tuberculosis
The qualitative behaviors of a system of ordinary differential equations and a system of differential-integral equations, which model the dynamics of...
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Optimization and Algebraic Techniques for Image Analysis
Image Analysis consists of a series of decision problems concerning pixel images, which are resolved by heuristic procedures. The pixel image...
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Case Studies
Building on the methodology developed in this text, the current chapter presents five case studies. In Section 24.1, we study the extension of...