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Article

Personalized Virus Load Curves for Acute Viral Infections

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Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB T6G 2R3, Canada
2
Collaborative Mathematical Biology Group, University of Alberta, Edmonton, AB T6G 2R3, Canada
*
Author to whom correspondence should be addressed.
Academic Editor: Peng Zhou
Viruses 2021, 13(9), 1815; https://doi.org/10.3390/v13091815
Received: 13 March 2021 / Revised: 9 July 2021 / Accepted: 3 September 2021 / Published: 13 September 2021
(This article belongs to the Special Issue Mathematical Modeling of Viral Infection)
We introduce an explicit function that describes virus-load curves on a patient-specific level. This function is based on simple and intuitive model parameters. It allows virus load analysis of acute viral infections without solving a full virus load dynamic model. We validate our model on data from mice influenza A, human rhinovirus data, human influenza A data, and monkey and human SARS-CoV-2 data. We find wide distributions for the model parameters, reflecting large variability in the disease outcomes between individuals. Further, we compare the virus load function to an established target model of virus dynamics, and we provide a new way to estimate the exponential growth rates of the corresponding infection phases. The virus load function, the target model, and the exponential approximations show excellent fits for the data considered. Our virus-load function offers a new way to analyze patient-specific virus load data, and it can be used as input for higher level models for the physiological effects of a virus infection, for models of tissue damage, and to estimate patient risks. View Full-Text
Keywords: viral load; patient specific; mathematical modeling; SARS-CoV-2 viral load; patient specific; mathematical modeling; SARS-CoV-2
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MDPI and ACS Style

Contreras, C.; Newby, J.M.; Hillen, T. Personalized Virus Load Curves for Acute Viral Infections. Viruses 2021, 13, 1815. https://doi.org/10.3390/v13091815

AMA Style

Contreras C, Newby JM, Hillen T. Personalized Virus Load Curves for Acute Viral Infections. Viruses. 2021; 13(9):1815. https://doi.org/10.3390/v13091815

Chicago/Turabian Style

Contreras, Carlos, Jay M. Newby, and Thomas Hillen. 2021. "Personalized Virus Load Curves for Acute Viral Infections" Viruses 13, no. 9: 1815. https://doi.org/10.3390/v13091815

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