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Cotygodniowe seminarium badawcze.
2023-11-29, godz. 14:15, 5070
Agnieszka Bartłomiejczyk (Politechnika Gdańska)
Existence of wave solutions of a glioma model in a porous medium
We study the glioma model with continuous chemotherapy administered to tumours evolving not only due to proliferation, but also due to the diffusion process. We consider model with non-linear diffusion describing motility in a porous medium with a logistic source term. Our motivation for this approa...
2023-11-22, godz. 12:15, 5070
Michał J. Gajda
Spróbuję matematycznie porównać armię polską i Wehrmacht w 1939 roku. Opiszę stosowanie równań różniczkowych Lanchestera na armiach ludzi i mrówek w celu określenia efektywności taktycznej w starciu. Potem przejdę do moich prób modelowania zmia...
2023-11-15, godz. 14:15, 5070
Agnieszka Wiszniewska-Matyszkiel (MIM UW)
How responsive should a firm be to customers expectations?
[Economic abstract from the published paper] This study explores ways to optimally align quality with customer expectations in light of changes in expectations related to experience with the actual quality of the product. A firm’s strategic decision is its responsivity. Responsivity is defin...
2023-11-08, godz. 14:15, 5070
Marcin Choiński (SGGW)
We propose a model of an infectious disease transmission in a heterogeneous population consisting of two different subpopulations: individuals with low and high susceptibility to an infection. This is a discrete model which was built without discretization of its continuous counterpart. We investi...
2023-10-25, godz. 14:15, 5070
Marek Bodnar (MIM UW)
Stability of periodic solution in a model of CAR-T cell immunotherapy - continuation
This seminar is a continuation of the presentation from two weeks ago. ...
2023-10-18, godz. 14:15, 5070
Burcu Gürbüz (Institute of Mathematics, Johannes Gutenberg-University Mainz)
Analysis of a model of the Calvin cycle
The dynamical properties of systems of ordinary differential equations (ODEs) have been studied in various chemical reaction network formulations. Among these, the Calvin cycle stands out as a widely recognised chemical reaction network that plays a central role in the photosynthetic reactions cruci...
2023-10-11, godz. 14:15, 5070
Marek Bodnar (MIM UW)
Stability of periodic solution in a model of CAR-T cell immunotherapy
I will talk about a model of CAR-T (Chimeric Antigen Receptor T) cell therapy that was presented in paper O. León-Triana et al.. (Cancers, 2021). I consider an system of 4 ODEs with impulses and continuous periodic function describing contiguous treatment. I prove existence of periodic, tumou...
2023-05-24, godz. 12:15, 5070
Frank Bastian (School of Mathematical Sciences, University College Cork, Cork, Ireland)
Cancer growth and evolutionary games; choosing the right model for including an Allee effect
The current state of the art for treating cancer is using the maximum tolerated dose (MTD) of one or more cytotoxic agents. The goal is to drive the cancer cell population to extinction and therefore cure the patient. However, this strategy might fail and the tumour relapses. Even worse, the relapse...
2023-05-10, godz. 12:15, 5070
Rabah Amir (University of Iowa)
On Cournot's theory of oligopoly with perfect complements
This paper provides a thorough characterization of the properties of Cournot's so-called complementary monopoly model (or oligopoly with perfect complements) in a general setting, including existence, uniqueness and the comparative statics effects of entry. As such, this serves to unify various ...
2023-04-26, godz. 12:15, 5070 oraz Zoom: https://uw-edu-pl.zoom.us/j/95003369354?pwd=aTBZaU9EVVQydW9qZjdBZ3FuUi8zZz09
Urszula Skwara (UMCS Lublin)
Mathematical modelling of vector-borne diseases
Vector-borne diseases account for approximately 17% of all infectious diseases in the word and cause about 700 000 deaths each year. Vector-borne diseases are transmitted by vectors, which include mosquitoes, ticks, and fleas. In our work we mainly focus on diseases transmitted by mosquitoes like de...
