The next talk in the Mathematics Colloquium Series, hosted by the Farquhar College of Arts and Sciences Division of Math, Science, and Technology, will feature a presentation by a graduate student from the University of Florida.
“Mathematical Modeling of Within-Host Virus Dynamics Under Periodic Combination Drug Therapy”
Presented by Cameron Browne
Thursday, Mar. 15
Noon–1:00 p.m.
Mailman-Hollywood Building | Room 311
Presentation Abstract
Modeling within-host virus dynamics has been a popular research topic in the mathematical biology community over the past two decades, especially in the case of HIV. A mathematical model can help scientists to gain greater understanding of virus-host interactions. In this talk, Browne will discuss the dynamical consequences of incorporating combination drug therapy in a classical within-host virus model. The combination therapy consists of two different types of antiviral medication, both of which have time-periodic efficacy functions. Using perturbation techniques and Floquet theory, Browne will argue that the timing between dosages of the two different drugs can critically affect the virus dynamics. Moreover, he will support the theoretical findings with numerical simulations. Understanding the optimal timing of drug dosages may aid in designing anti-HIV treatment strategies and motivates interesting mathematical and biological questions for future research.
The Mathematics Colloquium Series aims to increase awareness of mathematics’ importance and applications in daily life. The series also gives mathematics faculty members and students the opportunity to discuss independent research and share their passion for the subject. These talks are free and open to the public.
For more information on this lecture or the series, contact Vehbi Paksoy, Ph.D., or Iuliana Stanculescu, Ph.D., assistant professors in the Farquhar College of Arts and Sciences.