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 …

Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission

J Wang, J Lang, X Zou - Nonlinear Analysis: Real World Applications, 2017 - Elsevier
Recent studies reveal that cell-to-cell transmission via formation of virological synapses can
contribute significantly to virus spread, and hence, may play a more important role than virus …

Lyapunov functions and global stability for age-structured HIV infection model

G Huang, X Liu, Y Takeuchi - SIAM Journal on Applied Mathematics, 2012 - SIAM
We study the basic age-structured population model describing the HIV infection process,
which is defined by PDEs. The model allows the production rate of viral particles and the …

Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay

NM Dixit, AS Perelson - Journal of Theoretical Biology, 2004 - Elsevier
We present a model of HIV dynamics under antiretroviral therapy that combines drug
pharmacokinetics and intracellular delay. A two compartment pharmacokinetic model is …

Stochastic theory of early viral infection: continuous versus burst production of virions

JE Pearson, P Krapivsky… - PLoS computational …, 2011 - journals.plos.org
Viral production from infected cells can occur continuously or in a burst that generally kills
the cell. For HIV infection, both modes of production have been suggested. Standard viral …

Mathematical analysis of age-structured HIV-1 dynamics with combination antiretroviral therapy

L Rong, Z Feng, AS Perelson - SIAM Journal on Applied Mathematics, 2007 - SIAM
Various classes of antiretroviral drugs are used to treat HIV infection, and they target
different stages of the viral life cycle. Age-structured models can be employed to study the …

Global stability for an HIV-1 infection model including an eclipse stage of infected cells

B Buonomo, C Vargas-De-León - Journal of Mathematical Analysis and …, 2012 - Elsevier
We consider the mathematical model for the viral dynamics of HIV-1 introduced in Rong et
al.(2007)[37]. One main feature of this model is that an eclipse stage for the infected cells is …

Modeling within-host HIV-1 dynamics and the evolution of drug resistance: trade-offs between viral enzyme function and drug susceptibility

L Rong, MA Gilchrist, Z Feng, AS Perelson - Journal of Theoretical biology, 2007 - Elsevier
There are many biological steps between viral infection of CD4+ T cells and the production
of HIV-1 virions. Here we incorporate an eclipse phase, representing the stage in which …

Evaluating the importance of within-and between-host selection pressures on the evolution of chronic pathogens

D Coombs, MA Gilchrist, CL Ball - Theoretical population biology, 2007 - Elsevier
Infectious pathogens compete and are subject to natural selection at multiple levels. For
example, viral strains compete for access to host resources within an infected host and, at …