Mathematical models, some of which incorporate both intracellular and extracellular hepatitis C viral dynamics, have been advanced in recent years to study HCV-host kinetics and antivirals mode of action and efficacy. The standard hepatitis C virus (HCV) dynamic model keeps track of uninfected hepatocytes, infected hepatocytes, and free virus in blood. In multiscale models, a fourth equation accounts for the intracellular viral RNA (vRNA) kinetics in an infected cell. A multiscale model with vRNA kinetics consideration is substantially more difficult to solve, with the governing differential equations that are stiff. In previous contributions, we developed and implemented stable and efficient numerical methods for both the solution of the model equations and parameter estimation. In this contribution, we perform sensitivity analysis on model parameters to gain insight on important properties of these models and to ensure our numerical methods can be safely used for HCV viral dynamic simulations.
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1 September 2023
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021
20–26 September 2021
Rhodes, Greece
Research Article|
September 01 2023
Advances in parameter estimation for mathematical models of hepatitis C viral kinetics Available to Purchase
Vladimir Reinharz;
Vladimir Reinharz
a)
1
Department of Computer Science, Université du Québec à Montréal
, Montréal, Canada
aCorresponding author: [email protected]
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Alexander Churkin;
Alexander Churkin
b)
2
Shamoon College of Engineering
, Beer-Sheva, Israel
bCorresponding author: [email protected]
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Harel Dahari;
Harel Dahari
c)
3
The Program for Experimental and Theoretical Modeling, Division of Hepatology, Department of Medicine, Loyola University Medical Center
, Maywood, Illinois, USA
cCorresponding author: [email protected]
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Danny Barash
Danny Barash
d)
4
Department of Computer Science, Ben-Gurion Universty
, Beer-Sheva, Israel
dCorresponding author: [email protected]
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Vladimir Reinharz
1,a)
Alexander Churkin
2,b)
Harel Dahari
3,c)
Danny Barash
4,d)
1
Department of Computer Science, Université du Québec à Montréal
, Montréal, Canada
2
Shamoon College of Engineering
, Beer-Sheva, Israel
3
The Program for Experimental and Theoretical Modeling, Division of Hepatology, Department of Medicine, Loyola University Medical Center
, Maywood, Illinois, USA
4
Department of Computer Science, Ben-Gurion Universty
, Beer-Sheva, Israel
aCorresponding author: [email protected]
bCorresponding author: [email protected]
cCorresponding author: [email protected]
dCorresponding author: [email protected]
AIP Conf. Proc. 2849, 270001 (2023)
Citation
Vladimir Reinharz, Alexander Churkin, Harel Dahari, Danny Barash; Advances in parameter estimation for mathematical models of hepatitis C viral kinetics. AIP Conf. Proc. 1 September 2023; 2849 (1): 270001. https://doi.org/10.1063/5.0164682
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