The Math Club is an organization that strives to bring together math enthusiasts at Florida Atlantic University, for the purpose of improving academic ability, spreading awareness of mathematics’ importance, and sharing a passion for the field. The club is open to all majors and all math backgrounds. Activities at the club will include:
MATH CLUB: Thursday, December 8, 2022; SE 215; 5:00 p.m.
Speaker: Dr. Necibe Tuncer, Florida Atlantic University
Title: Structural and practical identifiability analysis of a multiscale immuno-epidemiological model
Abstract: We perform the identifiability analysis of a multiscale model of seasonal influenza with multiscale data. We show that the well studied target cell limited within-host model is not structurally identifiable. So, we reformulate the model and work with a scaled within-host model which is structurally identifiable. We find that the scaled within-host model is practically identifiable with respect to two distinct viremia data sets while fitting with weighted or unweighted least squares. We introduce a methodology on how to study the structural identifiability of multiscale epidemic models specifically nested immuno-epidemiological models. All parameters of the multiscale model are practically identifiable. Furthermore, we find that the practical identifiability of the multiscale model is significantly better when fitted to viremia and incidence data as opposed to when fitted to viremia and cumulative incidence data. Comparing first and second order numerical methods for solving the partial differential equations suggests that using a higher order numerical method does not affect the identifiability of the parameters. Further simulations suggest that the choice of the linking functions has some impact on identifiability when viremia and incidences are fitted but no impact when viremia and cumulative incidences are fitted.
Adam Zaidan |
President
Email: azaidan2020@fau.edu
My name is Adam Zaidan. I am an FAU high school student and freshman math major. I've been fascinated with mathematics ever since the 4th grade. I love jumping into a hard problem and attempting to solve it. My academic interests lie mainly in pure math. In my spare time, I'll usually be playing on my bass guitar, playing video games, or learning something new (not necessarily just in math). I especially enjoy learning histroy, specifically the history of math.
Lauren Culligan |
Vice President
Email: lculligan2014@fau.edu
Hello! My name is Lauren Culligan. I am an Air Force veteran majoring in mathematics. my interests are in pure mathematics and mathematical research.
Fadia Cila |
Secretary
Email: fcila2021@fau.edu )
Hi! My name is Fadia Cila. I am majoring in mechanical engineering and I hope to pursue a career in aerospace engineering. I am in love with the rollercoaster that is mathematics & my goal is to help spread that appreciation to others.
Nicole Abreu |
Event Coordinator
Email: abreun2019@fau.edu
Hello everyone. My name is Nicole Abreu. I am currently pursuing a major in mathematics with a minor in political science. Along with the math club, I am involved in Student Government, Model United Nations, and many other organizations on campus. I hope to use my love for mathematics and the skills I am learning through my minor in political science to build a career based on bettering the communities around me.
Vice-President
Email:mishakmak@gmail.com
Faculty Advisor |
