Karlstad Applied Analysis Seminar (KAAS)
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Future seminars:
Talk-140
When: 14:00-15:00, 16 May 2024
What: On Boltzmann-type equations with discrete velocities.
Who: Leif Arkeryd, Department of mathematics, Göteborgs universitet, Sweden.
Where: 21E205 and online:https://kau-se.zoom.us/j/61616693592
Abstract: The seminar will discuss the Cauchy problem for the Boltzmann equation with discrete velocities.
The result is based on joint work with Anne Nouri.
Talk-141
When: T.B.D, 29 May 2024
What: Studying cell ecology with spatial cumulant models.
Who: Sara Hamis, Department of Information Technology, Uppsala Univeristy, Sweden.
Where: T.B.D and online:https://kau-se.zoom.us/j/61616693592
Abstract: Spatial cumulant models (SCMs) are spatially resolved population models, formulated by differential equations. SCMs approximate the dynamics of two summary statistics generated by spatio-temporal point processes (STPPs): first-order spatial cumulants (densities), and second-order spatial cumulants (spatial covariances).
In this talk, I’ll exemplify how SCMs can be used to predict and control STPP-generated population dynamics. With a worked example, I’ll demonstrate that (1) SCMs can capture STPP-generated density dynamics, even when mean-field population models (MFPMs) fail to do so, and (2) SCM-informed treatment strategies outperform MFPM-informed strategies in terms of inhibiting population growths. Overall, our work demonstrates that SCMs provide a new framework in which to study cell-to-cell interactions and treatments that take cell-to-cell interactions into account.