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Mechanistic modeling of SARS‐CoV‐2 and other infectious diseases and the effects of therapeutics
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 …
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
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 …
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
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 …
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 …
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
We present a model of HIV dynamics under antiretroviral therapy that combines drug
pharmacokinetics and intracellular delay. A two compartment pharmacokinetic model is …
pharmacokinetics and intracellular delay. A two compartment pharmacokinetic model is …
Stochastic theory of early viral infection: continuous versus burst production of virions
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 …
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
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 …
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 …
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
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 …
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
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 …
example, viral strains compete for access to host resources within an infected host and, at …