Mechanistic modeling of SARS‐CoV‐2 and other infectious diseases and the effects of therapeutics

AS Perelson, R Ke - Clinical Pharmacology & Therapeutics, 2021 - Wiley Online Library
Modern viral kinetic modeling and its application to therapeutics is a field that attracted the
attention of the medical, pharmaceutical, and modeling communities during the early days of …

Mathematical analysis of viral replication dynamics and antiviral treatment strategies: from basic models to age-based multi-scale modeling

C Zitzmann, L Kaderali - Frontiers in microbiology, 2018 - frontiersin.org
Viral infectious diseases are a global health concern, as is evident by recent outbreaks of
the middle east respiratory syndrome, Ebola virus disease, and re-emerging zika, dengue …

[BUKU][B] An introduction to mathematical epidemiology

M Martcheva - 2015 - Springer
This book is an introductory text to the methods and tools that are nowadays widely used
and accepted in the mathematical epidemiology literature. It is intended to start from a …

[HTML][HTML] Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy

J Danane, K Allali, Z Hammouch, KS Nisar - Results in Physics, 2021 - Elsevier
This paper investigates the dynamics of a COVID-19 stochastic model with isolation strategy.
The white noise as well as the Lévy jump perturbations are incorporated in all compartments …

Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions

Y Yang, L Zou, S Ruan - Mathematical biosciences, 2015 - Elsevier
A within-host viral infection model with both virus-to-cell and cell-to-cell transmissions and
three distributed delays is investigated, in which the first distributed delay describes the …

Computer-aided drug design: the next 20 years

JH Van Drie - Journal of computer-aided molecular design, 2007 - Springer
This perspectives article has been taken from a talk the author gave at the symposium in
honor of Yvonne C. Martin's retirement, held at the American Chemical Society spring …

How robust are estimates of key parameters in standard viral dynamic models?

C Zitzmann, R Ke, RM Ribeiro… - PLOS Computational …, 2024 - journals.plos.org
Mathematical models of viral infection have been developed, fitted to data, and provide
insight into disease pathogenesis for multiple agents that cause chronic infection, including …

Viral kinetic modeling: state of the art

L Canini, AS Perelson - Journal of pharmacokinetics and …, 2014 - Springer
Viral kinetic (VK) modeling has led to increased understanding of the within host dynamics
of viral infections and the effects of therapy. Here we review recent developments in the …

A comprehensive hepatitis C viral kinetic model explaining cure

E Snoeck, P Chanu, M Lavielle… - Clinical …, 2010 - Wiley Online Library
We propose a model that characterizes and links the complexity and diversity of clinically
observed hepatitis C viral kinetics to sustained virologic response (SVR)—the primary …

Modelling hepatitis C therapy—predicting effects of treatment

AS Perelson, J Guedj - Nature reviews Gastroenterology & hepatology, 2015 - nature.com
Mathematically modelling changes in HCV RNA levels measured in patients who receive
antiviral therapy has yielded many insights into the pathogenesis and effects of treatment on …