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Mathematical Models of Early Hepatitis B Virus Dynamics in Humanized Mice
Analyzing the impact of the adaptive immune response during acute hepatitis B virus (HBV) infection is essential for understanding disease...
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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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Fractional-Order Delay Differential Equations of Hepatitis C Virus
In this chapter, we investigate a fractional-order delay differential model reflecting the dynamics of Hepatitis C virus (HCV) replication in the...
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Hopf Bifurcation and Stability Switches Induced by Humoral Immune Delay in Hepatitis C
The role of humoral immune delay on the dynamics of HCV infection incorporating both the modes of infection transmission, namely, viral and cellular...
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The Complex Dynamics of Hepatitis B Infected Individuals with Optimal Control
This paper proposes various stages of the hepatitis B virus (HBV) besides its transmissibility and nonlinear incidence rate to develop an epidemic...
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A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
We propose and analyze a new class of three dimensional space models that describes infectious diseases caused by viruses such as hepatitis B virus...
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Mathematics of Malaria and Climate Change
This chapter is concerned with malaria and the impact of climate change on the spread of malarial diseases on the African continent. The focus is on...
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Dynamics of a Delayed Diffusive HBV Infection Model with Capsids and CTL Immune Response
In this article, a delayed reaction-diffusion model of hepatitis B virus (HBV) infection with HBV DNA-containing capsids and cytotoxic T lymphocyte...
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Dynamical behaviors of a delayed HBV infection model with logistic hepatocyte growth, cure rate and CTL immune response
Dynamical behaviors of an HBV infection model with distributed delay are studied. The model includes the ordinary, discrete delay and Gamma...
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Mathematical modeling of climate change and malaria transmission dynamics: a historical review
Malaria, one of the greatest historical killers of mankind, continues to claim around half a million lives annually, with almost all deaths occurring...
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“Big Data and Dynamics”—The Mathematical Toolkit Towards Personalized Medicine
Predictive models and simulations addressing the individual progression of diseases are crucial for the optimization of diagnostic tools and...
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Coherent modelling switch between pointwise and distributed representations of cell aggregates
Biological systems are typically formed by different cell phenotypes, characterized by specific biophysical properties and behaviors. Moreover, cells...
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Stability analysis for HIV infection of CD4+ T-cells by a fractional differential time-delay model with cure rate
In this paper, a fractional differential model of HIV infection of CD4 + T-cells is investigated. We shall consider this model, which includes full...
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A Nonlocal Model for Contact Attraction and Repulsion in Heterogeneous Cell Populations
Instructing others to move is fundamental for many populations, whether animal or cellular. In many instances, these commands are transmitted by...
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Rich dynamics of a hepatitis B viral infection model with logistic hepatocyte growth
Chronic hepatitis B virus (HBV) infection is a major cause of human suffering, and a number of mathematical models have examined within-host dynamics...
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Modeling the adaptive immune response in HBV infection
The aim of this work is to investigate a new mathematical model that describes the interactions between Hepatitis B virus (HBV), liver cells...
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Front Instabilities and Invasiveness of Simulated Avascular Tumors
We study the interface morphology of a 2D simulation of an avascular tumor composed of identical cells growing in an homogeneous healthy tissue...
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A Mathematical Model of Liver Cell Aggregation In Vitro
The behavior of mammalian cells within three-dimensional structures is an area of intense biological research and underpins the efforts of tissue...
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Mathematical Modelling of Proteolysis and Cancer Cell Invasion of Tissue
The growth of solid tumors proceeds through two distinct phases: the avascular and the vascular phase. It is during the latter stage that the...