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Entries for this week: 4
Wednesday April 03, 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.

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.

Biomathematics Seminar
A mathematical model of stroma-supported allometric tumor growth
    - Greg Owanga, FSU
Time: 3:05 Room: LOV 232
Abstract/Desc: Mounting empirical research suggests that the stroma, or interface between healthy and cancerous tissue, is a critical determinate of cancer invasion. At the same time, a cancer cell’s location and potential to proliferate can influence its sensitivity to cancer treatments. In this paper, we use ordinary differential equations to develop spatially structured models for solid tumors wherein the growth of tumor components is coordinated. The model tumors feature two components, a proliferating peripheral growth region, which potentially includes a mix of cancerous and noncancerous stroma cells, and a solid tumor core. Mathematical and numerical analysis are used to investigate how coordinated expansion of the tumor growth region and core can influence overall growth dynamics in a variety of tumor types. Model assumptions, which are motivated by empirical and in silico solid tumor research, are evaluated through comparison to tumor volume data and existing models of tumor growth.

Thursday April 04, 2024

Financial Math Seminar
Weakly interacting jump processes with graphon interactions
    - Ruoyu Wu, Iowa State University
Time: 3:05pm Room: Lov 231
Abstract/Desc: We consider systems of weakly interacting jump processes on heterogeneous random graphs and their large population limit. The interaction is of mean field type weighted by the underlying graphon. A law of large numbers result is established as the system size increases and the underlying graphons converge. The limit is given by a graphon particle system consisting of independent but heterogeneous nonlinear Markovian processes whose probability distributions are fully coupled. Individual-based epidemic models, as an application, and Join-the-shortest-queue(d) systems, as a relevant queueing model, will be briefly discussed.


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