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Modeling Antiretrovial Treatment to Mitigate HIV in the Brain: Impact of the Blood-Brain Barrier
Current research in Human Immunodeficiency Virus (HIV) focuses on eradicating virus reservoirs that prevent or dampen the effectiveness of...
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Modeling the Effects of Latency Reversing Drugs During HIV-1 and SIV Brain Infection with Implications for the “Shock and Kill” Strategy
Combination antiretroviral therapy (cART) has greatly increased life expectancy for human immunodeficiency virus-1 (HIV-1)-infected patients. Even...
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Could Mathematics be the Key to Unlocking the Mysteries of Multiple Sclerosis?
Multiple sclerosis (MS) is an autoimmune, neurodegenerative disease that is driven by immune system-mediated demyelination of nerve axons. While...
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Mathematics Indicates That an HIV-Style Strategy Could Be Applied to Manage the Coronavirus
We have learned to live with many potentially deadly viruses for which there is no vaccine, no immunity, and no cure. We do not live in constant fear...
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Effects of Diffusion MRI Model and Harmonization on the Consistency of Findings in an International Multi-cohort HIV Neuroimaging Study
HIV-related white matter (WM) differences reported across studies are inconsistent. This is due to clinical and demographic heterogeneity of HIV...
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Percolation in Biological Systems
Most biological systems are so complex that they preclude any reasonable description in terms of the exact interactions among their fundamental...
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Evidence to Guide Decision Making in Clinical Medicine
We focus on two aspects of the evidential base needed to guide clinical practice. These are (i) the use of approximate match populations to a patient...
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Mean
Are brainier people . . . well, are they literally brainier? That is, do clever people have big brains? Fig. 36.1 shows a plot of IQ scores versus...
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A comparative study for mathematical modelling of the contest of CAR-T and tumour cells in solid cancers using fractional- and integer-order derivatives
Cancer is a disease resulting from the fractious growth and division of abnormal cells and has gotten consistent and dedicated attention from...
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Soft Computing Artificial Intelligence of Schrödinger Time Independent Equation Arises in Wheeler–DeWitt Model of Quantum Cosmology
AbstractSchrödinger time independent equation arises in Wheeler–DeWitt model of quantum cosmology to develop a wave function for the corrections of...
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Fitting linear functions:theory and practice
Scientists very often (as in nearly all the time) want to find relationships between measured data points. One of the most important relationships is...
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A diffusive virus model with a fixed intracellular delay and combined drug treatments
The method of administration of an effective drug treatment to eradicate viruses within a host is an important issue in studying viral dynamics....
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Applications of MPC in the Area of Health Care
Health is a major area of national expenditure in all develo** countries. Many problems that arise in the area of health are, at their core,...
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Matrix Models of Texts: Interpretation and Experimental Verification
Abstract —This article considers interpretation of matrix models of texts and models of text collections based on them. Examples of computationally...
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Cellular Automata
Cellular automata (CAs) are simple dynamical systems that exhibit a wide variety of both organized and complex behavior over time (or under repeated...
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Rosenbrock-Type Methods for Solving Stochastic Differential Equations
AbstractThis paper reviews recent publications that describe mathematical models with stochastic differential equations (SDEs) and applications in...
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Within-Host Viral Dynamics in a Multi-compartmental Environment
The discrepancy in the turnover of cells and virus in different organs or viral reservoirs necessitates the investigation of multiple compartments...
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Stability analysis of a dynamical model of tuberculosis with incomplete treatment
A simple deterministic epidemic model for tuberculosis is addressed in this article. The impact of effective contact rate, treatment rate, and...
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Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative
This research work investigates some theoretical and semi-analytical results for the mathematical model of tuberculosis disease via derivative due to...
