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Effects of Antibodies and Cytotoxic T-lymphocytes on Cancer: A Mathematical Study
In this study, we analyze a mathematical model considering interaction between cancer cells and both humoral (antibodies) and cell mediated...
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Asymptotic and Stability Dynamics of an HIV-1-Cytotoxic T Lymphocytes (CTL) Chemotaxis Model
In this paper, we study the asymptotic and stability dynamics of a chemotaxis model in volume filling constraints on HIV-1-incorporating cytotoxic T...
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Stability Analysis and Uniform Persistence of the Dynamics of Cytotoxic Cells with Crowley-Martin Functional Response
The specific response of CD8 cells is a major defense of the body against viral infections. They are responsible for the destruction of infected CD4...
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Role of the Immune System in AIDS-defining Malignancies
The Center for Disease Control and Prevention considers AIDS-defining illnesses Kaposi’s sarcoma, non-Hodgkin’s lymphoma and cervical cancer. These...
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A Role of Effector CD\(8^{+}\) T Cells Against Circulating Tumor Cells Cloaked with Platelets: Insights from a Mathematical Model
Cancer metastasis accounts for a majority of cancer-related deaths worldwide. Metastasis occurs when the primary tumor sheds cells into the blood and...
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Modelling the interplay between the CD4\(^{+}\)/CD8\(^{+}\) T-cell ratio and the expression of MHC-I in tumours
Describing the anti-tumour immune response as a series of cellular kinetic reactions from known immunological mechanisms, we create a mathematical...
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A mathematical model for HIV dynamics with multiple infections: implications for immune escape
Multiple infections enable the recombination of different strains, which may contribute to viral diversity. How multiple infections affect the...
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The Influence of Immune Response on Spreading of Viral Infection
AbstractIn this work we develop a model of viral infection in host tissues in order to study the influence of the immune response on the infection...
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Discrete-Time System of an Intracellular Delayed HIV Model with CTL Immune Response
In [Math. Comput. Sci. 12 (2018), no. 2, 111–127], a delayed model describing the dynamics of the Human Immunodeficiency Virus (HIV) with Cytotoxic T...
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Spatiotemporal Dynamics of Fractional Hepatitis B Virus Infection Model with Humoral and Cellular Immunity
In this chapter, we propose a mathematical model governed by fractional partial differential equations (FPDEs) that describes the dynamics of...
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Mathematical Oncology: Tumor Evolution Models
Cancer is the second leading cause of death globally, accounting for an estimated nine million deaths per year. Mathematical oncology, modeling the...
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Dynamical analysis of a general delayed HBV infection model with capsids and adaptive immune response in presence of exposed infected hepatocytes
The aim of this paper is to develop and investigate a novel mathematical model of the dynamical behaviors of chronic hepatitis B virus infection. The...
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Numerical Analysis of Stationary Solutions of Systems with Delayed Argument in Mathematical Immunology
This work is devoted to the technology developed by the authors that allows one for fixed values of parameters and tracing by parameters to calculate...
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Stability analysis of fuzzy HTLV-I infection model: a dynamic approach
This paper deals with a mathematical model for HTLV-I infection by considering the role of imprecise essence of the biological parameters. The...
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Temporal Pattern of the Emergence of a Mutant Virus Esca** Cross-Immunity and Stochastic Extinction Within a Host
A high mutation rate of the RNA virus results in the emergence of novel mutants that may escape the immunity activated by the original (wild-type)...
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A Multi-Scale Immune System Simulator for the Onset of Type 2 Diabetes
Type 2 diabetes mellitus (T2D), the most common form of diabetes, is a chronic metabolic disorder characterized by hyperglycemia, insulin resistance,...
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Viral infection dynamics with immune chemokines and CTL mobility modulated by the infected cell density
We study a viral infection model incorporating both cell-to-cell infection and immune chemokines. Based on experimental results in the literature, we...
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Understanding the Interplay of CAR-NK Cells and Triple-Negative Breast Cancer: Insights from Computational Modeling
Chimeric antigen receptor (CAR)-engineered natural killer (NK) cells have recently emerged as a promising and safe alternative to CAR-T cells for...
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Mathematical analysis of within-host dengue dynamics with innate and adaptive immune responsess
Dengue is among the most prevalent arboviral disease in humans worldwide. Infection with dengue can cause a wide spectrum of disease indications,...
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Modelling the Adaptive Immune Response in HBV Infection Model with HBV DNA-Containing Capsids
The objective of this paper is to investigate a mathematical model describing the interactions between hepatitis B virus with DNA-containing capsids,...
