The reproduction number and its probability distribution for stochastic viral dynamics

B Williams, J Carruthers, JJ Gillard… - Journal of the …, 2024 - royalsocietypublishing.org
We consider stochastic models of individual infected cells. The reproduction number, R, is
understood as a random variable representing the number of new cells infected by one …

Quantification of Ebola virus replication kinetics in vitro

LE Liao, J Carruthers, SJ Smither… - PLoS computational …, 2020 - journals.plos.org
Mathematical modelling has successfully been used to provide quantitative descriptions of
many viral infections, but for the Ebola virus, which requires biosafety level 4 facilities for …

A nonlinear transport–diffusion model for the interactions between immune system cells and HPV-infected cells

FJ Solis, LM Gonzalez - Nonlinear Dynamics, 2023 - Springer
In this paper, we present a nonlinear advection–diffusion model for the interactions of
immune system cells with HPV-infected cells, where we considered the immune response …

Culture of human rotaviruses in relevant models shows differences in culture-adapted and nonculture-adapted strains

N Peña-Gil, W Randazzo, N Carmona-Vicente… - International journal of …, 2023 - mdpi.com
Rotavirus (RV) is the leading cause of acute gastroenteritis (AGE) in children under 5 years
old worldwide, and several studies have demonstrated that histo–blood group antigens …

[HTML][HTML] Estimation of virus-mediated cell fusion rate of SARS-CoV-2

A Amidei, HM Dobrovolny - Virology, 2022 - Elsevier
Several viruses have the ability to form large multinucleated cells known as syncytia. Many
properties of syncytia and the role they play in the evolution of a viral infection are not well …

Mathematical analysis and numerical solution of a model of HIV with a discrete time delay

AJ Arenas, G González-Parra, JJ Naranjo, M Cogollo… - Mathematics, 2021 - mdpi.com
We propose a mathematical model based on a set of delay differential equations that
describe intracellular HIV infection. The model includes three different subpopulations of …

[HTML][HTML] Quantifying mechanistic traits of influenza viral dynamics using in vitro data

AWC Yan, J Zhou, CAA Beauchemin, CA Russell… - Epidemics, 2020 - Elsevier
When analysing in vitro data, growth kinetics of influenza virus strains are often compared by
computing their growth rates, which are sometimes used as proxies for fitness. However …

The effect of random virus failure following cell entry on infection outcome and the success of antiviral therapy

C Quirouette, D Cresta, J Li, KP Wilkie, H Liang… - Scientific Reports, 2023 - nature.com
A virus infection can be initiated with very few or even a single infectious virion, and as such
can become extinct, ie stochastically fail to take hold or spread significantly. There are many …

[PDF][PDF] A mathematical model of oncolytic virotherapy with time delay

Z Wang, Z Guo, H Smith - Mathematical Biosciences and …, 2019 - aimspress.com
Oncolytic virotherapy is an emerging treatment modality which uses replication-competent
viruses to destroy cancers without causing harm to normal tissues. By the development of …

[PDF][PDF] Dynamics of toxoplasmosis in the cat's population with an exposed stage and a time delay

S Sultana, G González-Parra, AJ Arenas - environments, 2022 - aimspress.com
We propose a new mathematical model to investigate the effect of the introduction of an
exposed stage for the cats who become infected with the T. gondii parasite, but that are not …