Weekly research seminar
List of talks

June 12, 2024, 2:15 p.m.
Emanuela Penitente & Ana MarcoSalamero (studentki w programie Erazmus)
On the dynamics of a mathematical model of virus spreading incorporating the effect of a vaccine by A. Gökçe et al. (NA: RWA 2024)
Ana Marco will talk about a model proposed in the paper by A. Gökçe et al. (NA: RWA 2024), introducing the model and presenting analytical results from the original paper, while Emanuela Pernitente will talk …

June 5, 2024, 2:15 p.m.
Yunuhen Hernandez Rodriguez
Mathematical Modelling and Examination of Interactions between Bone Substitute, Mandibular Living Tissue and Tooth Implant
Objective: This presentation aims to introduce a novel mathematical model of bone remodelling that closely mirrors the natural behavior of cancellous bone. By translating cellular functions into mathematical equations, we have developed new relationships that …

May 22, 2024, 2:15 p.m.
Juan BelmonteBeitia (University of CastillaLa Mancha and Mathematical Oncology Laboratory, Ciudad Real, Spain)
Some open problems in mathematical biology
In this seminar, I will pose different open problems related to mathematical biology, which can be studied using different mathematical techniques, such as qualitative theory of differential equations, upper and lower solutions method and Poincare …

May 15, 2024, 2:15 p.m.
Zofia Wróblewska (doktorantka Politechniki Wrocławskiej)
Inverted elastic pendulum as a mathematical model of running

May 8, 2024, 2:15 p.m.
Jan Wróblewski (MIM UW)
Convergence of a cellular automata reactiondiffusion model to the PDE model  continuation
During the seminar in January, I presented my work on convergence of a reactiondiffusion Cellular Automata (with a very specific reaction) to the PDE model. This CA contains p * n^2 molecules of three kinds …


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 …

April 10, 2024, 2:15 p.m.
Mariusz Bodzioch (Uniwersytet warmińskoMazurski 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 …

April 3, 2024, 2:15 p.m.
Katarzyna Weron (Politechnika Wrocławska)
Toward Understanding of the Social Hysteresis: Insights From AgentBased 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 …

March 20, 2024, 2:15 p.m.
Marcin Penconek (Międzydziedzinowa Szkoła Doktorska UW)
DecisionMaking 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 …

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 …

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 …

Jan. 24, 2024, 2:15 p.m.
Jan Wróblewski (MIM UW)
Convergence of a cellular automata reactiondiffusion 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 reactiondiffusion process with …

Jan. 17, 2024, 2:15 p.m.
Ana MarcoSalamero (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 …

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.