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Title: Mechanistic modelling of SARS-CoV-2 and other infectious diseases and the effects of therapeutics

Journal Article · · Clinical Pharmacology and Therapeutics
DOI:https://doi.org/10.1002/cpt.2160· OSTI ID:1764237

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 the AIDS epidemic. Its successes lead to applications of modeling methods not only to HIV but a plethora of other viruses, such as hepatitis C virus (HCV), hepatitis B virus (HBV) and cytomegalovirus (CMV), which along with HIV cause chronic diseases, and viruses such as influenza, respiratory syncytial virus (RSV), West Nile virus (WNV), Zika virus, and SAR-CoV-2, which generally cause acute infections. Here we first review the historical development of mathematical models to understand HIV and HCV infections and the effects of treatment by fitting the models to clinical data. Furthermore, we then focus on recent efforts and contributions of applying these models towards understanding SARS-CoV-2 infection and highlight outstanding questions where modeling can provide crucial insights and help to optimize non-pharmaceutical and pharmaceutical interventions of the COVID-19 pandemic. The review is written from our personal perspective emphasizing the power of simple target cell limited models that provided important insights and then their evolution into more complex models that captured more of the virology and immunology. To quote Albert Einstein “Everything should be made as simple as possible, but not simpler”, and this idea underlies the modeling we describe below.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE; National Institutes of Health (NIH); Defense Advanced Research Projects Agency (DARPA); National Science Foundation (NSF)
Grant/Contract Number:
89233218CNA000001; R01-OD011095; R01-AI028433; R01-AI15270301; PHY-2031756
OSTI ID:
1764237
Report Number(s):
LA-UR-20-29392
Journal Information:
Clinical Pharmacology and Therapeutics, Vol. 109, Issue 4; ISSN 0009-9236
Publisher:
American Society for Clinical Pharmacology & Therapeutics - WileyCopyright Statement
Country of Publication:
United States
Language:
English

References (96)

Virological assessment of hospitalized patients with COVID-2019 journal April 2020
Impaired type I interferon activity and inflammatory responses in severe COVID-19 patients journal July 2020
Influence of delayed viral production on viral dynamics in HIV-1 infected patients journal September 1998
An Age-Structured Model of HIV Infection that Allows for Variations in the Production Rate of Viral Particles and the Death Rate of Productively Infected Cells journal July 2004
Antigen-Specific Adaptive Immunity to SARS-CoV-2 in Acute COVID-19 and Associations with Age and Disease Severity journal November 2020
Combination Antiviral Therapy for Influenza: Predictions From Modeling of Human Infections journal March 2012
Natural History of Asymptomatic SARS-CoV-2 Infection journal August 2020
In-host Mathematical Modelling of COVID-19 in Humans journal January 2020
SARS-CoV-2 entry factors are highly expressed in nasal epithelial cells together with innate immune genes journal April 2020
Longitudinal analyses reveal immunological misfiring in severe COVID-19 journal July 2020
A Novel Antiviral Intervention Results in More Accurate Assessment of Human Immunodeficiency Virus Type 1 Replication Dynamics and T-Cell Decay In Vivo journal April 2003
Antibody potency, effector function, and combinations in protection and therapy for SARS-CoV-2 infection in vivo journal November 2020
A Comprehensive Hepatitis C Viral Kinetic Model Explaining Cure journal May 2010
Different Dynamics of CD4 + and CD8 + T Cell Responses During and After Acute Lymphocytic Choriomeningitis Virus Infection journal October 2003
Principles of Effective and Robust Innate Immune Response to Viral Infections: A Multiplex Network Analysis journal July 2019
Duration of SHIV production by infected cells is not exponentially distributed: Implications for estimates of infection parameters and antiviral efficacy journal February 2017
SARS-CoV-2 viral load predicts COVID-19 mortality journal September 2020
Modeling hepatitis C virus dynamics: Liver regeneration and critical drug efficacy journal July 2007
Mathematical Analysis of HIV-1 Dynamics in Vivo journal January 1999
Rapid turnover of plasma virions and CD4 lymphocytes in HIV-1 infection journal January 1995
Variation in HIV-1 set-point viral load: Epidemiological analysis and an evolutionary hypothesis journal October 2007
Characterizing superspreading events and age-specific infectiousness of SARS-CoV-2 transmission in Georgia, USA journal August 2020
Antibody cocktail to SARS-CoV-2 spike protein prevents rapid mutational escape seen with individual antibodies journal June 2020
Exploring the effect of biological delays in kinetic models of influenza within a host or cell culture journal January 2011
Rapid Emergence of Protease Inhibitor Resistance in Hepatitis C Virus journal May 2010
Viral dynamics in vivo: limitations on estimates of intracellular delay and virus decay. journal July 1996
HIV-1 Dynamics in Vivo: Virion Clearance Rate, Infected Cell Life-Span, and Viral Generation Time journal March 1996
Decay characteristics of HIV-1-infected compartments during combination therapy journal May 1997
Serial interval of SARS-CoV-2 was shortened over time by nonpharmaceutical interventions journal July 2020
Pharmacokinetic Basis of the Hydroxychloroquine Response in COVID-19: Implications for Therapy and Prevention journal August 2020
Modeling Plasma Virus Concentration during Primary HIV Infection journal April 2000
Modelling clinical data shows active tissue concentration of daclatasvir is 10-fold lower than its plasma concentration journal October 2013
Improved estimates for H1V-1 clearance rate and intracellular delay journal January 1999
IFN-I response timing relative to virus replication determines MERS coronavirus infection outcomes journal July 2019
Modeling the Viral Dynamics of Influenza A Virus Infection journal January 2010
Density-Dependent Decay in HIV-1 Dynamics journal January 2006
REGN-COV2 antibodies prevent and treat SARS-CoV-2 infection in rhesus macaques and hamsters journal October 2020
Modeling viral kinetics and treatment outcome during alisporivir interferon-free treatment in hepatitis C virus genotype 2 and 3 patients: HEPATOLOGY, Vol. XX, NO. X, 2014 GUEDJ ET AL. journal April 2014
Pharmacodynamics of PEG-IFN α differentiate HIV/HCV coinfected sustained virological responders from nonresponders journal May 2006
Causes and Consequences of Spatial Within-Host Viral Spread journal November 2018
Emergent properties of the interferon-signalling network may underlie the success of hepatitis C treatment journal May 2014
Crossing the scale from within-host infection dynamics to between-host transmission fitness: a discussion of current assumptions and knowledge journal August 2015
Rapid production and clearance of HIV-1 and hepatitis C virus assessed by large volume plasma apheresis journal November 1999
Mathematical modelling identifies the role of adaptive immunity as a key controller of respiratory syncytial virus in cotton rats journal November 2019
Pharmacodynamics of Antiretroviral Agents in HIV-1 Infected Patients: Using Viral Dynamic Models that Incorporate Drug Susceptibility and Adherence journal April 2006
Targeting the Latent Reservoir for HIV-1 journal May 2018
Estimating biologically relevant parameters under uncertainty for experimental within-host murine West Nile virus infection journal April 2016
Influenza Virus Infection Model With Density Dependence Supports Biphasic Viral Decay journal July 2018
Temporal profiles of viral load in posterior oropharyngeal saliva samples and serum antibody responses during infection by SARS-CoV-2: an observational cohort study journal May 2020
A dynamical motif comprising the interactions between antigens and CD8 T cells may underlie the outcomes of viral infections journal August 2019
Clinical benefit of remdesivir in rhesus macaques infected with SARS-CoV-2 journal June 2020
Modeling the viral dynamics of SARS-CoV-2 infection journal October 2020
Phenotype and kinetics of SARS-CoV-2-specific T cells in COVID-19 patients with acute respiratory distress syndrome journal June 2020
Remdesivir for the Treatment of Covid-19 — Final Report journal November 2020
Protease Inhibitors Block Multiple Functions of the NS3/4A Protease-Helicase during the Hepatitis C Virus Life Cycle journal March 2015
Studies in humanized mice and convalescent humans yield a SARS-CoV-2 antibody cocktail journal June 2020
Modeling Long-Term HIV Dynamics and Antiretroviral Response: Effects of Drug Potency, Pharmacokinetics, Adherence, and Drug Resistance journal January 2005
Modelling viral and immune system dynamics journal January 2002
Zika plasma viral dynamics in nonhuman primates provides insights into early infection and antiviral strategies journal August 2017
The trinity of COVID-19: immunity, inflammation and intervention journal April 2020
A modular framework for multiscale, multicellular, spatiotemporal modeling of acute primary viral infection and immune response in epithelial tissues and its application to drug therapy timing and effectiveness journal December 2020
A pharmacokinetic/viral kinetic model to evaluate the treatment effectiveness of danoprevir against chronic HCV journal January 2014
Temporal dynamics in viral shedding and transmissibility of COVID-19 journal April 2020
SARS-coronavirus-2 replication in Vero E6 cells: replication kinetics, rapid adaptation and cytopathology journal September 2020
SARS-CoV-2 Reverse Genetics Reveals a Variable Infection Gradient in the Respiratory Tract journal July 2020
Autoantibodies against type I IFNs in patients with life-threatening COVID-19 journal September 2020
Simple Mathematical Models Do Not Accurately Predict Early SIV Dynamics journal March 2015
Airborne Transmission of SARS-CoV-2: Theoretical Considerations and Available Evidence journal August 2020
Imbalanced Host Response to SARS-CoV-2 Drives Development of COVID-19 journal May 2020
Hepatitis C Viral Dynamics in Vivo and the Antiviral Efficacy of Interferon- Therapy journal October 1998
Viral load dynamics and disease severity in patients infected with SARS-CoV-2 in Zhejiang province, China, January-March 2020: retrospective cohort study journal April 2020
Modeling shows that the NS5A inhibitor daclatasvir has two modes of action and yields a shorter estimate of the hepatitis C virus half-life journal February 2013
Kinetic Analyses Reveal Potent and Early Blockade of Hepatitis C Virus Assembly by NS5A Inhibitors journal August 2014
Determining the Relative Efficacy of Highly Active Antiretroviral Therapy journal March 2003
Short-term antiviral efficacy of BILN 2061, a hepatitis C virus serine protease inhibitor, in hepatitis C genotype 1 patients journal November 2004
Latent infection of CD4+ T cells provides a mechanism for lifelong persistence of HIV-1, even in patients on effective combination therapy journal May 1999
Stochastic Theory of Early Viral Infection: Continuous versus Burst Production of Virions journal February 2011
Modeling the within-host dynamics of HIV infection journal September 2013
The Role of Infected Cell Proliferation in the Clearance of Acute HBV Infection in Humans journal November 2017
Modeling Within-Host Dynamics of Influenza Virus Infection Including Immune Responses journal June 2012
Dynamics of HIV infection of CD4+ T cells journal March 1993
Neuraminidase Inhibitor Resistance in Influenza: Assessing the Danger of Its Generation and Spread journal December 2007
Zika virus dynamics: Effects of inoculum dose, the innate immune response and viral interference journal January 2021
A PDE multiscale model of hepatitis C virus infection can be transformed to a system of ODEs journal July 2018
SARS-CoV-2-reactive T cells in healthy donors and patients with COVID-19 journal July 2020
SARS-CoV-2 viral load is associated with increased disease severity and mortality journal October 2020
Remdesivir in adults with severe COVID-19: a randomised, double-blind, placebo-controlled, multicentre trial journal May 2020
Inborn errors of type I IFN immunity in patients with life-threatening COVID-19 journal September 2020
Type 2 alveolar cells are stem cells in adult lung journal June 2013
Mathematical modeling of within-host Zika virus dynamics journal August 2018
Kinetics of Influenza A Virus Infection in Humans journal July 2006
Viral dynamics in human immunodeficiency virus type 1 infection journal January 1995
Quantifying the effect of remdesivir in rhesus macaques infected with SARS-CoV-2 journal November 2020
Potency and timing of antiviral therapy as determinants of duration of SARS-CoV-2 shedding and intensity of inflammatory response journal October 2020
In silico dynamics of COVID-19 phenotypes for optimizing clinical management journal January 2021
Influenza A virus infection kinetics: quantitative data and models: Modeling influenza kinetics journal December 2010

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