Organizers

prof. dr hab. Urszula Foryś

Information

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

Research fields

Biomathematics

List of talks

March 10, 2021, 12:15 p.m.
Urszula Foryś (MIM UW)
About Lyapunov functions for prostate cancer treatment model
I will talk about looking for Lyapunov functions for the model proposed to describe hormone sensitive prostate cancer treatment.
March 3, 2021, 12:15 p.m.
Marcin Choiński (doktorant MIM/Katedra Zastosowań Matematyki SGGW)
Discrete-time SIS models
I will talk about discrete-time SIS models which were based on their continuous counterparts. The first type of models reflects the dynamics of epidemics in a homogeneous population - in this case two-dimensional systems are …
Jan. 20, 2021, 12:15 p.m.
dr Mateusz Iskrzyński (Instytut Badań Systemowych Polskiej Akademii Nauk)
Structure and vulnerability of weighted empirical food webs
Species extinctions are compromising ecosystem functioning and services around the globe. The effects of species loss propagate over food webs (trophic networks). Food webs are directed graphs that represent feeding relationships, encoding matter flows as …
Jan. 13, 2021, 12:15 p.m.
Adam Błoch (Politechnika Łódzka)
A semigroup approach to hyperbolic systems on networks
Partial differential equations are not only purely mathematical objects but often they describe some natural phenomena. Given an equation we need to solve three basic problems. The first one is to choose an appropriate method …
Dec. 9, 2020, 12:15 p.m.
Aleksandra Puchalska (WMIM UW)
Revision of diffusion on metric graph
Dynamical processes along the edges of a graph with appropriate transmission conditions in the vertices appeared first around 1980. In the last forty years variety of new tools from analysis has been developed to deal …
Dec. 2, 2020, 12:15 p.m.
Łukasz Woźny (SGH Warsaw School of Economics)
Time consistent equilibria in dynamic models with recursive payoffs and behavioral discounting
We prove existence of time consistent equilibria in a wide class of dynamic models with recursive payoffs and generalized discounting involving both behavioral and normative applications. Our generalized Bellman equation method identifies and separates both: …
Nov. 18, 2020, 12:15 p.m.
Jacek Miękisz i Marek Bodnar (MIM UW)
Evolution of populations with strategy-dependent time delays
We study the effects of strategy-dependent time delays on equilibria of evolving populations. It is well known that time delays may cause oscillations in dynamical systems. Here we report a novel behavior. We show that …
June 17, 2020, 12:15 p.m.
Tomasz Piasecki (MIM UW)
A new SEIR type model including quarantine effects and its application to analysis of COVID-19 epidemic in Poland in March-April 2020
Tomasz Piasecki is going to present recent results of a joint work with Piotr B. Mucha (University of Warsaw) and Magdalena Rosińska (National Institute of Public Health - National Institute of Hygiene). *** Contact tracing …
June 10, 2020, 12:15 p.m.
Dariusz Wrzosek and Purnendu Mishra (MIM UW)
The role of indirect prey-taxis and interference among predators in pattern formation
It is important to find biological factors that may lead to formation of patches in the distribution of species. We build a simple model describing a consumer/predator which, besides random dispersion, searches for food by …
June 3, 2020, 4 p.m.
Oskar Górniewicz (Wydział MINI Politechniki Warszawskiej)
Analytical and topological methods of Nash equilibrium searching in non-cooperative games
Analytical and topological methods of Nash equilibrium searching in non-cooperative games - extract from the PhD disertation. *** Hangouts Meet: meet.google.com/ufe-xfwd-jio
June 3, 2020, 12:15 p.m.
Roumen Anguelov (University of Pretoria)
The big unknown: The asymptomatic spread of COVID-19
This talk draws attention to the asymptomatic and mildly symptomatic cases of COVID-19, which, according to some reports, may constitute a large fraction of the infected individuals. These cases are often unreported and are not …
May 27, 2020, 12:15 p.m.
Anna Ochab-Marcinek (Institute of Physical Chemistry, Polish Academy of Sciences)
Automated data collection from bitmap images on Polish Health Ministry's Twitter. Some thoughts on COVID-19 statistics in Poland.
I will only briefly focus on the technicalities. Polish Ministry of Health publishes a large part of the coronavirus-related data only in the form of bitmap images on Twitter. I wrote a set of Python …
May 20, 2020, 12:15 p.m.
Monika Kurpas, Roman Jaksik and Marek Kimmel (Silesian University of Technology)
Evolutionary analysis and modeling of coronavirus genomes
Studies have shown that novel coronavirus (SARS-CoV-2) causing coronavirus disease 2019 (COVID-19) most likely was transmitted to humans by animal carriers. It is therefore interesting to ask how the virus has evolved in organisms of …
May 13, 2020, 12:15 p.m.
Mateusz Dębowski (MIM UW)
Error estimation in the Runge-Kutta method for systems of ODEs
Sometimes we are not able to provide analytical proof for some properties of the model. In such a case we need to carry out numerical simulations and give a rigorous argument in order to prove …
May 6, 2020, 12:15 p.m.
Urszula Foryś (MIM UW)
Using real data for construction of a dynamical model to personalize androgen deprivation therapy in hormone-sensitive prostate cancer
The results of cooperation with IMBM team on modeling of HSCP treated with leuprolide will be presented. We proposed a new mechanistic model describing cancer growth represented by a level of prostate specific antigen in …