Virus spreading in tissues is determined by virus transport, virus multiplication in host cells
and the virus-induced immune response. Cytotoxic T cells remove infected cells with a rate …

Spreading of viral infection in the tissues such as lymph nodes or spleen depends on virus
multiplication in the host cells, their transport and on the immune response. Reaction …

Spreading of viral infection in the tissues such as lymph nodes or spleen depends on virus
multiplication in the host cells, their transport and on the immune response. Reaction …

Infection spreading in cell culture occurs due to virus replication in infected cells and its
random motion in the extracellular space. Multiplicity of infection experiments in cell cultures …

This paper studies a diffusive viral infection system with delayed immune response in the
one-domain system. A system of DDE equations was explored, both analytically and …

We propose a general model to investigate the joint impact of viral diffusion and cell-to-cell
transmission on viral dynamics. The mathematical challenge lies in the fact that the model …

In this paper, a mathematical model describing the viral infection dynamics with non-cytolytic
effect of humoral immune response is presented and analyzed. The effect of non-cytolytic …

A general mathematical model of viral infections inside a spherical organ is presented.
Transported quantities are used to represent external cells or viral particles that penetrate …

A class of reaction-diffusion virus dynamics models with intracellular state-dependent delay
and a general non-linear infection rate functional response is investigated. We are …

Introduction The immune responses play important roles in the course of disease initiation
and progression upon virus infection such as SARS-CoV-2. As the tissues consist of spatial …