This Week in Mathematics


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Entries for this week: 5

Wednesday October 20, 2021

Departmental Tea Time
C is for cookie, and shorthand for C[0,1] w/the sup norm
Time: 3: Room: 204 LOV

Biomath Seminar [url]
Bayesian estimation of Pseudomonas aeruginosa viscoelastic properties
- Dr. Mohammad Nooranidoost, Postdoc, FSU Mathematics
Time: 3:05pm Room: LOV 200
Abstract/Desc: Pseudomonas aeruginosa biofilms in cystic fibrosis (CF) infections are initiated by individual bacteria that produce various types of extracellular polymeric substances (EPS). The major components of this polymeric matrix are Psl, Pel, and alginate polysaccharides, which are involved in biofilm development, attachment to the substratum, and assuring their structural integrity. However, the viscoelastic characteristics of such polysaccharides are not fully explored in previous research studies. For this purpose, we developed a mathematical model to study the rheological behavior of components of three different colony biofilms, including P. aeruginosa PAO1, isogenic PAO1 ΔwspF, and their mucoid variant PAO1 mucA22. Our model consists of a combination of springs and dashpots, which represent the elasticity and viscosity of the substances, respectively. Using a Bayesian inference to estimate these viscoelastic properties, we separate the characteristics and share of each polysaccharide in the biofilm structure. A Monte Carlo Markov Chain (MCMC) algorithm is used to estimate elasticity, viscosity and share of each polysaccharide in the three biofilm variants, which help us understand the composing elements of biofilm at different stages of their development.

Short Bio: Mohammad Nooranidoost is a Postdoctoral Scholar in Department of Mathematics at the Florida State University, where he works with Dr. Hussaini and Dr. Cogan. He is currently working on mathematical modeling of biofilm to study the biomechanics of bacterial community at different scales. He holds a PhD in Mechanical Engineering from the University of Central Florida, where he worked on computational biological fluid dynamics.

Thursday October 21, 2021

Financial Mathematics Seminar [url]
Stochastic Volatility in the Kyle-Back Model
- Brad Mostowski, FSU
Time: 3:05pm Room: 201
Abstract/Desc: In this talk we generalize the Kyle-Back model for insider trading by allowing the volatility to vary stochastically over time. To motivate this extension, we review the case where volatility is deterministic before discussing and overcoming challenges related to the stochastic setup. We also discuss briefly observations regarding the impact of tail fatness in the market maker's belief of the final asset price on the shape of the IV curve for European options on the asset. This talk is the result of ongoing work with my advisor Dr. Ibrahim Ekren and Dr. Gordan Zitkovic of UT.

Algebra seminar [url]
Axiomatization of Differential Cohomology
- Abdullah Malik, FSU
Time: 3:05pm
Abstract/Desc: Differential Cohomology is a cohomological theory which extends topological cohomology theories. These latter generalized cohomology theories are those which satisfies Eilenberg-Steenrod axioms, an example of which is singular cohomology. Differential Cohomology extends topological cohomology by taking into account geometric data of the underlying topological space. In this talk, we review the basic construction of ordinary differential cohomology in the spirit of Simons and Cheeger and then talk about the axioms of Differential Cohomology.

Friday October 22, 2021

Colloquium Tea
Time: 3:00 pm Room: 204 LOV

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