Haskell, Evan C

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Haskell, Evan

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A Model for a Parameter Related to Free Virus Production from Infected Target Cells

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Virginia Commonwealth UniversityVCU Scholars CompassBiology and Medicine Through MathematicsConference 2017May 18th, 4:00 PM - 4:30 PMA model for a parameter related to free virusproduction from infected target cellsEvan C. HaskellNova Southeastern University, haskell@nova.eduFollow this and additional works at: http://scholarscompass.vcu.edu/bammPart of the Life Sciences Commons, Medicine and Health Sciences Commons, and the OrdinaryDifferential Equations and Applied Dynamics CommonsThis Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has beenaccepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. Formore information, please contact libcompass@vcu.edu.http://scholarscompass.vcu.edu/bamm/2017/thursday/11A model for a parameter related to free virus production frominfected target cellsEvan HaskellDepartment of MathematicsHalmos College of Natural Sciences and OceanographyNova Southeastern Universitye-mail: haskell@nova.eduAbstractIn practice it is often necessary to determine unknown parameters in a mathematical modelfrom observed experimental data. The basic viral replication model is commonly used inquantifying viral infection kinetics. It is commonplace when fitting parameters to this modelto either fix the initial number of uninfected target cells or the parameter representing theproduction rate of free virus from infected target cells. However each of these quantities issensitive to the choice of the other value. In this talk we develop a model of the parameterrepresenting production of free virus from infected target cells. This model relates the valueof this parameter to other parameters of the basic viral replication model and the initialnumber of uninfected target cells. This relationship is made by an estimate of the intrinsicgrowth rate of the viral load from a phenomenological model of viral load. We discuss thefitting of the basic viral replication model using this model for the production rate of freevirus from infected target cells to an experimental data set for influenza A virus.

A model for a parameter related to free virus production from infected target cells

https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1159&amp;context=bamm

A model for a parameter related to free virus production from infected target cells

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