Mathematics Colloquium Schedule

Fall 2018

Date: 10-12-2018 (12pm-1pm, F03-200A), Dr. Curtis Bennett, Dean, CNSM, CSULB.

Title: Fibonacci and Lucas Analogues of Binomial Coefficients and What They Count

Abstract: In this talk we will first introduce and provide a little history of the Fibonomials. Next we provide a simple (and more useful than previous interpretations) description of an object the Fibonomials enumerate. We will use this new object to prove various Fibonomial analogues of standard identities on binomial coecients and discuss further generalizations using the Lucas numbers. Full Abstract

Date: 10-19-2018 (12pm-1pm, F03-200A), Dr. Naveen Vaidya, San Diego State University.

Title: Mathematical Models of Human Immunodeficiency Virus Reservoirs

Abstract: Despite the tremendous success of highly active antiretroviral therapy (HAART) for the treatment of Human Immunodeficiency Virus (HIV), there is no cure for HIV yet due to presence of viral reservoirs such as latently infected CD4+ memory T cells and infected brain cells. In this talk, I will present mathematical models of HIV reservoirs that accurately predict observations in experimental data from HIV infected humans and SIV (Simian Immunodeficiency Virus) infected macaques. First, I use the models to show that the latent infection can be limited by early ART during acute HIV infection. However, this effect can be influenced by the drug pharmacodynamics properties showing that the choice of drugs in ART is a key to successful cure via early therapy. Second, I use the models to estimate key parameters related to the brain infection, including virus-transfer across blood-brain barrier. The model analysis helps to provide a threshold for the establishment of infection, and to compare the viral infection dynamics in the brain with that in the plasma.