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Medchem & Toxicology 2018
Page 31
Journal of Organic & Inorganic Chemistry
ISSN: 2472-1123
A n n u a l C o n g r e s s o n
Medicinal Chemistry,
Pharmacology and toxicology
J u l y 3 0 - 3 1 , 2 0 1 8
Am s t e r d a m , N e t h e r l a n d s
A
nalysis of previously published target-cell limited viral dynamic models for
pathogens such as HIV, hepatitis, and influenza generally rely on standard
techniques from dynamical systems theory or numerical simulation. We use a
quasi-steady-state approximation to derive an analytic solution for the model
with a non-cytopathic effect, that is, when the death rates of uninfected and
infected cells are equal. The analytic solution provides time evolution values
for all three compartments of uninfected cells, infected cells, and virus.
Results are compared with numerical simulation using clinical data for equine
infectious anemia virus (EIAV), a retrovirus closely related to HIV, and the utility
of the analytic solution is discussed.
Biography
Richard Cangelosi has earned a PhD in Mathematics from
Washington State University in 2014. His research interests
include Modelling Nonlinear Phenomena with Application to
Biology and Ecology, Models for Biological Pattern Formation,
Delay Equations, Perturbation Theory, Chaos Theory and the
Fractal Geometry of Strange Attractors. He is currently a Faculty
Member at Gonzaga University.
cangelosi@gonzaga.eduA quasi-steady-state approximation to the basic target-cell-limited
viral dynamics model with a non-cytopathic effect
Richard Cangelosi
1
, Elissa Schwartz
2
and David Wollkind
2
1
Gonzaga University, Spokane, Washington, USA
2
Washington State University, Pullman, Washington, USA
Richard Cangelosi et al., J Org Inorg Chem 2018, Volume 4
DOI: 10.21767/2472-1123-C3-008