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Immune Response Model Fitting to CD4 \(^+\) T Cell Data in Lymphocytic Choriomeningitis Virus LCMV infection
We make two fits of an ODE system with 5 equations that model immune response by CD4...
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Measles Infection Dose Responses: Insights from Mathematical Modeling
AbstractHow viral infections develop can change based on the number of viruses initially entering the body. The understanding of the impacts of...
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Age-Related Changes to the Immune System Exacerbate the Inflammatory Response to Pandemic H1N1 Infection
Age-induced dysregulation of the immune response is a major contributor to the morbidity and mortality related to influenza a virus infections....
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Optimal Perturbations of Systems with Delayed Independent Variables for Control of Dynamics of Infectious Diseases Based on Multicomponent Actions
In this paper, we apply optimal perturbations to control mathematical models of infectious diseases expressed as systems of nonlinear differential...
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Computation of Optimal Disturbances for Delay Systems
AbstractNovel fast algorithms for computing the maximum amplification of the norm of solution and optimal disturbances for delay systems are proposed...
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Parameter Estimation and Model Selection
In this chapter, we illustrate a data-driven methodology to formulation and calibration of mathematical models of immune responses. The maximum...
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Reaction–Diffusion Equations in Immunology
AbstractThe paper is devoted to the recent works on reaction–diffusion models of virus infection dynamics in human and animal organisms. Various...
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Modelling of Experimental Infections
This chapter aims to give a clear idea of how mathematical analysis for experimental systems could help in the process of data assimilation,...
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Modelling of Human Infections
In this chapter, we illustrate the application of mathematical models and computational analyses tools of various complexities to the description and...
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Basic Principles of Building a Mathematical Model of Immune Response
This chapter introduces a modular approach to the formulation of mathematical models of immune responses to virus infections. It presents a...
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Principles of Virus–Host Interaction
This chapter presents a brief overview of basic immunological concepts and ideas necessary for the development of mathematical models of immune...
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A Mathematical Model of T1D Acceleration and Delay by Viral Infection
Type 1 diabetes (T1D) is often triggered by a viral infection, but the T1D prevalence is rising among populations that have a lower exposure to viral...
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Influence of Intracellular Delay on the Dynamics of Hepatitis C Virus
In this paper, we present a delay induced model for hepatitis C virus incorporating the healthy and infected hepatocytes as well as infectious and...
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Mathematical Models for Immunology: Current State of the Art and Future Research Directions
The advances in genetics and biochemistry that have taken place over the last 10 years led to significant advances in experimental and clinical...
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Evolutionary game theoretic strategy for optimal drug delivery to influence selection pressure in treatment of HIV-1
Cytotoxic T-lymphocyte (CTL) escape mutation is associated with long-term behaviors of human immunodeficiency virus type 1 (HIV-1). Recent studies...
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Evaluation of Multitype Mathematical Models for CFSE-Labeling Experiment Data
Carboxy-fluorescein diacetate succinimidyl ester (CFSE) labeling is an important experimental tool for measuring cell responses to extracellular...
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A Mathematical Model of the Competition between Acquired Immunity and Virus
A mathematical model describing the interactions between viral infection and acquired immunity is proposed. The model is formulated in terms of a...
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Emergent Group Dynamics Governed by Regulatory Cells Produce a Robust Primary T Cell Response
The currently accepted paradigm for the primary T cell response is that effector T cells commit to autonomous developmental programs. This concept is...
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Lytic versus Nonlytic Activity
Chapter 7 discussed the concept of CTL-induced pathology, where CTL-mediated lysis of infected cells can lead to tissue damage and mortality of the...
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Effector Molecules and CTL Homeostasis
Chapters 7, 8, and 9 have discussed effector molecules in relation to their direct antiviral activity: to kill infected cells or to inhibit the...