This Week in Mathematics


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Today:

Mathematics Colloquium
Math Honors Day
- Monica Hurdal, FSU
Time: 3:05 Room: Lov 101
Abstract/Desc: Faculty, staff, and students are invited to join us as we celebrate and award our graduate and undergraduate students for their achievements and excellence in academics, teaching, and service.

Entries for this week: 8

Monday April 15, 2024

PDE seminar
Optimal control for the treatment of Staphylococcus aureus osteomyelitis
- Francis Baffour-Awuah Junior, FSU
Time: 3:05pm
More Information
Abstract/Desc: Osteomyelitis caused by Staphylococcus aureus can present diverse clinical challenges requiring tailored treatment strategies. It can often be treated effectively with antibiotics alone, particularly when the condition is diagnosed early, and the infection has not spread extensively. While several mathematical models have discussed antibiotic treatments for the disease, there have been little robust studies on optimization. By employing optimal control theory, the goal is to find the most appropriate antibiotic treatment protocol for controlling the progression of the disease while reducing therapeutic costs and minimizing drug adverse effects. Our findings demonstrate that the control intervention significantly impacts infection clearance. We observed that initiating treatment with the maximum drug dose and tapering it gradually is equally effective in pathogen clearance as constant dosing, while also being more cost-effective and less toxic. Additionally, we found that the elimination of pathogen does not necessarily coincide with inflammation resolution, emphasizing the need for combined therapies targeting both pathogens and inflammation in the management of osteomyelitis

Wednesday April 17, 2024

Applied and Computational Math Seminar -- Stochastic Computing and Optimization
Stochastic Computing and Optimization
- ACM/Fin Math students,
Time: 3:05PM Room: LOV 0231
Abstract/Desc: Students from ACM and Financial Math will present their research progress. Some invited speakers may also present their research.

Biomathematics Seminar
Coupled dynamics of behaviour and disease
- Martyna Smart, FSU
Time: 3:05 Room: LOV 232
Abstract/Desc: The spread of disease is significantly impacted by human behaviour. In particular, homophily ("bird of a feather flock together") and outgroup aversion can affect disease transmission rates and the uptake of non-pharmaceutical interventions (i.e. careful behaviours such as masking and social distancing). This talk will present a simple model of coupled behavioural change and infection in a structured population characterised by homophily and outgroup aversion.

Biomathematics Journals Seminar
A Mathematical Model of Stroma-Supported Allometric Tumor Growth
- Greg Owanga, FSU
Time: 5:00 Room: Dirac library

Undergraduate Math Seminar
An example of group theory in mathematics: How symmetries in the zometool construction toy determine which pieces can fit together in a loop.
- Mark van Hoeij, FSU
Time: 3:05pm Room: LOV 107
Abstract/Desc: The talk will start with explaining what a symmetry group is in mathematics. The symmetry group of a cube contains rotations of 90 degrees (and multiples of 90). These angles are common in typical constructions. However, the symmetry group of the icosahedron contains rotations of other angles (multiples of 120, and multiples of 72 degrees). I will show in the talk how this symmetry group leads to a fascinating construction toy called zometool. Group theory will be key to obtaining a theorem that describes exactly when zometool pieces fit together in constructions.

Thursday April 18, 2024

Financial Math Seminar
Hedging the Divergence Loss of the Constant Product Market Maker in Decentralized Finance
- Zachary Feinstein, Stevens Institute of Technology
Time: 3:05pm Room: Zoom
Abstract/Desc: Automated Market Makers (AMMs) are a decentralized approach for creating financial markets by allowing investors to invest in liquidity pools of assets against which traders can transact. Liquidity providers are compensated for making the market with fees on transactions. The collected fees, along with the final value of the pooled portfolio, act as a derivative of the underlying assets with price given by the pooled assets. Following this notion, we study the hedging portfolio for the divergence loss, also called the impermanent loss, of the liquidity providers.

Algebra Seminar [url]
Solving Third Order Linear Difference Equations in Terms of Second Order Equations
- Heba Bou KaedBey, FSU
Time: 3:05 pm Room: LOV 107
More Information
Abstract/Desc: Classifying order 3 linear difference operators over C(x) that are solvable in terms of lower order difference operators. In this talk, I will focus on one of the cases of this classification and give the algorithm we developed. I will give an example from OEIS (The On-Line Encyclopedia of Integer Sequences) where our algorithm produces an output that proves a conjecture from Z.-W. Sun.

Friday April 19, 2024

Mathematics Colloquium
Math Honors Day
- Monica Hurdal, FSU
Time: 3:05 Room: Lov 101
Abstract/Desc: Faculty, staff, and students are invited to join us as we celebrate and award our graduate and undergraduate students for their achievements and excellence in academics, teaching, and service.

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This Week in Mathematics