Disease Modeling at Within-Host and Between-Hosts Scales: HIV and Influenza as Case Studies
TITLE:
Disease Modeling at Within-Host and Between-Hosts Scales: HIV and Influenza as Case Studies
DATE:
Friday, September 15th, 2017
TIME:
3:30 PM
LOCATION:
GMCS-314
SPEAKER:
Dr. Naveen Vaidya, Department of Mathematics and Statistics at SDSU
ABSTRACT:
Mathematical models are becoming increasingly useful in studying the dynamics of infectious diseases,
from within-host to between-hosts scales. With HIV and influenza as case studies,
I will demonstrate how modeling can provide great insights into complex phenomena of these diseases.
First, I will present a within-host model that can help address some of the issues related to the HIV
treatments in the face of drug resistance. Our model shows that although drug therapy cannot suppress
the viral load due to resistance, it can alter the viral fitness resulting in an increase in CD4+ T cell
(immune cell) count, which should yield clinical benefits. Furthermore, this benefit depends on the cell
proliferation rate, which, in some situations, produces sustained T-cell oscillations. Second, using a
between-hosts population model of avian influenza (AI) dynamics under periodic environmental conditions,
we formulate threshold indexes, such as the basic reproductive number and the disease invasion threshold,
which can describe the global dynamics of AI transmission. Our results show that time-varying environmental
temperature predicts several interesting features of AI dynamics, which are observed in real data: peak-time
variation, place-to-place variation, and seasonal double peaks (summer and fall).
HOST:
Dr. Antoni Luque
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