Organizers

prof. dr hab. Urszula Foryś

Information

Wednesdays, 2:15 p.m. , room: 5070

Research fields

Biomathematics

List of talks

Nov. 20, 2024, 2:15 p.m.
Elżbieta Pliś (Uniwersytet Ekonomiczny w Krakowie)
Diversity and evolution of the economic system
In the evolutionary approach to economics, the dynamic of diversity is of particular interest. To analyze the mutual influence of economic evolution on economic diversity, we can use the concept of diversity proposed by Nehring …
Nov. 6, 2024, 2:15 p.m.
Joanna Rencławowicz (IM PAN)
Analysis of two-strain host-vector dengue model with vertical transmission
Dengue fever is a typical mosquito-borne infectious disease. We propose two-strain model describing the dynamics of dengue transmission by both mosquitoes (vectors) and humans (hosts). We include secondary infections (with other strain), causing a severe …
Oct. 30, 2024, 2:15 p.m.
Agnieszka Kozdęba (Uniwersytet Rolniczy w Rzeszowie, doktorantka UJ)
Zastosowanie kawałkami deterministycznych procesów Markowa w modelach stochastycznej ekspresji genów
Oct. 23, 2024, 2:15 p.m.
Anupam Priyadarshi (Banaras Hindu University, India)
Bifurcation Analysis and Optimal Control of a Discrete-Time Tumor Model
Among several treatment approaches for cancer, immunotherapy has emerged as a highly promising approach in modern cancer treatment. We propose a discretized version of a three-dimensional cancer model to explore the interactions between tumor cells, …
Oct. 16, 2024, 2:15 p.m.
Marek Kryspin (Politechnika Wrocławska)
ODEs with general delay. Continuous dependence on measures
The talk will present results concerning non-autonomous linear ODEs with delay (defined by an integral with respect to time-varying measures). In addition to standard results on the existence and uniqueness of solutions for such equations, …
Oct. 9, 2024, 2:15 p.m.
Maria Vela-Pérez (Universidad Complutense de Madrid)
Mathematical modeling for the COVID-19 pandemic
Since the emergence of the novel coronavirus SARS-CoV-2 in 2019, numerous mathematical models have been developed to analyze the progression of the COVID-19 pandemic [1, 2]. By late 2020, with the distribution of vaccines and …
June 12, 2024, 2:15 p.m.
Emanuela Penitente & Ana Marco-Salamero (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 (Modelowanie matematyczne i badanie interakcji między substytutem kości, żywą tkanką żuchwy i implantem zęba)
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 Belmonte-Beitia (University of Castilla-La Mancha and Mathematical Oncology Laboratory, Ciudad Real, Spain)
Some open problems in mathematical biology (Pewne otwarte problemy w biomatematyce)
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 (Odwrócone sprężyste wahadło jako matematyczny model biegu)
May 8, 2024, 2:15 p.m.
Jan Wróblewski (MIM UW)
Convergence of a cellular automata reaction-diffusion model to the PDE model - continuation (Zbieżność automatu komórkowego reakcji-dyfuzji do modelu równań różniczkowych cząstkowych - kontynuacja)
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 …
April 24, 2024, 2:15 p.m.
Janusz Uchmański (UKSW)
What I have learned modelling ecological systems (Czego się nauczyłem modelując układy ekologiczne)
April 17, 2024, 2:15 p.m.
Zuzanna Szymańska (ICM UW)
Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation (Modelowanie matematyczne naciekania nowotworów. Czy zmiany fenotypu z nabłonkowo na mezenchymalny i odwrotnie mogą tłumaczyć powstawanie wieloogniskowych zmian nowotworowych.)
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 warmińsko-Mazurski w Olsztynie)
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment (Dynamika i optymalne sterowanie modelem matematycznym nerwiaka zarodkowego i jego leczeniem)
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 Agent-Based Modeling (Ku zrozumieniu histerezy społecznej: wnioski z modelowania agentowego)
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 …