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Weekly research seminar
List of talks
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May 8, 2024, 2:15 p.m.
Jan Wróblewski (MIM UW)
Convergence of a cellular automata reaction-diffusion model to the PDE model - continuation
During the seminar in January, I presented my work on convergence of a reaction-diffusion Cellular Automata (with a very specific reaction) to the PDE model. This CA contains p * n^2 molecules of three kinds …
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April 17, 2024, 2:15 p.m.
Zuzanna Szymańska (ICM UW)
Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation
The transition from the epithelial to mesenchymal phenotype and its reverse (from mesenchymal to epithelial) are crucial processes necessary for the progression and spread of cancer. We investigate how phenotypic switching at the cancer cell …
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April 10, 2024, 2:15 p.m.
Mariusz Bodzioch (Uniwersytet warmińsko-Mazurski w Olsztynie)
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment
Celyvir is an advanced therapy medicine consisting of mesenchymal stem cells containing the oncolytic virus ICOVIR 5. In this study, a mathematical model is formulated and analyzed, which attempts to capture the fundamental relationships between …
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April 3, 2024, 2:15 p.m.
Katarzyna Weron (Politechnika Wrocławska)
Toward Understanding of the Social Hysteresis: Insights From Agent-Based Modeling
Hysteresis and tipping points are common features of many social systems. For example, research shows that public opinion often exhibits both phenomena. That is, opinions can seem resistant to change for a while (which is …
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March 20, 2024, 2:15 p.m.
Marcin Penconek (Międzydziedzinowa Szkoła Doktorska UW)
Decision-Making Computations in Neuronal Networks
Recent advances in neuroscience provide a new perspective on how categorical decisions are computed in the brain and how the choice circuits performing such computations are organized. This knowledge was instrumental in developing the mechanistic …
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March 6, 2024, 2:15 p.m.
Deeptajyoti Sen
Destabilization of a population model due to a seasonally varying Allee effect impacting seasonal synchronization
Extreme weather conditions due to climate change lead to seasonal variations in species’ life cycles. It can impact the distribution and abundance of populations by influencing their habitats and food sources, leading to changes in …
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Feb. 28, 2024, 2:15 p.m.
Emanuela Penitente
Modeling the effects of human behavior on respiratory viruses coinfection dynamics
Respiratory virus coinfection refers to the simultaneous infection of two viruses spreading in the respiratory tract of the same host. This phenomenon can involve coronaviruses, respiratory syncytial virus, human rhinoviruses, adenoviruses, or influenza viruses. Based …
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Jan. 24, 2024, 2:15 p.m.
Jan Wróblewski (MIM UW)
Convergence of a cellular automata reaction-diffusion model to the PDE model
Cellular automata (CA) are used to simulate physical processes with various degrees of precision, but the theoretical quantitative bounds for this precision are rarely computed. We create a stochastic CA model of reaction-diffusion process with …
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Jan. 17, 2024, 2:15 p.m.
Ana Marco-Salamero (student in the Erasmus program)
Techniques for the evolution of random graphs models; key applications and future directions.
With the idea of modeling the behaviour of social networks over time, here are shown some preliminary results on random graph evolution using techniques inspired by quantum mechanics. After some formalisms, the idea is showing …
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Jan. 10, 2024, 2:15 p.m.
Mateusz Dębowski (doktorant MIM)
Pewne aspekty mechanizmów molekularnych cyklu komórkowego i wzrost diauksyczny w ujęciu matematycznym
Podczas seminarium opowiem o swoim doktoracie. Zaprezentuję najważniejsze wyniki, omówię pokrótce artykuły, które w rozprawie zostały opisane i rozszerzone. Ponadto przedstawię możliwe dalsze perspektywy oraz uwagi recenzentów, do których się odniosę.
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Dec. 13, 2023, 2:15 p.m.
Javad Mohamadichamgavi (MIM UW)
The Impact of Time Delay on Mutant Fixation in Evolutionary Games
Evolutionary game theory examines how strategies spread and endure in populations through reproduction and imitation based on their evolutionary fitness. Traditional models assume instantaneous population dynamics where the current population state solely determines fitness. However, …
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Dec. 6, 2023, 2:15 p.m.
Krzysztof Argasiński (MIM UW)
Impact of maturation delays on the eco-evolutionary dynamics of Hawk-Dove game
In the talk the eco-evolutionary dynamics of the demographic version (expressed in expliciit mortality and fertility payoffs) of Hawk-Dove game will be analyzed. We will show that the trajectories are attracted by so called subnullcines …
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Nov. 29, 2023, 2:15 p.m.
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 …
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Nov. 22, 2023, 12:15 p.m.
Michał J. Gajda
Sanacja i Wehrmacht
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 zmian w …
