Organizers

prof. dr hab. Urszula Foryś

Information

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

Research fields

Biomathematics

List of talks

Oct. 19, 2022, 12:15 p.m.
Magdalena Szafrańska (Szkoła Doktorska Nauk Ścisłych i Przyrodniczych UW)
Mathematical model of psychotherapy
This presentation aims at showing a mathematical model of the dynamics of psychotherapy based on research in psychotherapy. In this context one of the studied elements are the influence of the external environment understood as …
June 15, 2022, 12:15 p.m.
Miron Kursa (ICM UW)
Information theory for data analysis in biology
One of the key outputs of Shannon's information theory is that it gave as a framework for quantifying dependence, which is in turn crucial for a robust identification actual mechanisms in the chaos of reality. …
June 8, 2022, 12:15 p.m.
Milena Matusik (Uniwersytet Gdański)
Leap-frog method for stochastic functional wave equation
We perform a time-space discretisation, known as the leap-frog method, for nonlinear stochastic functional wave equations driven by multiplicative time-space white noise. The method converges in L^2 at a rate of O(\sqrt{ h}), where h …
May 18, 2022, 12:15 p.m.
Jarosław Śmieja (Politechnika Śląska)
Modelowanie wzrostu guza i odpowiedzi na terapię antynowotworową z uwzględnieniem przerzutowania
Literatura poświęcona zagadnieniom modelowania dynamiki nowotworów i ich odpowiedzi na różne formy terapii jest obszerna, a zastosowane metody bardzo różne - m.in. równania różniczkowe zwyczajne lub cząstkowe, równania różniczkowo-całkowe lub modele agentowe. Prace poruszające problem …
April 27, 2022, 12:15 p.m.
Małgorzata Kardyńska (Politechnika Śląska)
Modeling of the JAK-STAT signaling pathway activated by Interferons type I and type II
The JAK-STAT signaling pathway regulates the expression of numerous genes related primarily to the immune response and is activated by cytokines, mainly Interferons (IFN) and Interleukins (IL). I will present our original model of the …
April 20, 2022, 12:15 p.m.
Urszula Foryś i Marek Bodnar (MIM UW)
On the model of CAR-T cells
We will continue our relation on the study on the 2d model of CAR-T cells proposed by the team of Prof. V.P. Garcia.
March 30, 2022, 12:15 p.m.
Vikas Kumar (MIM UW)
Study of Chaos and Pattern Formation Analysis in Ecological Systems
Most of the ecological systems are nonlinear in nature, and many of them are full of complexity and disorder. Mathematical modeling of these systems is an essential tool to understand the dynamical behavior of the …
March 23, 2022, 12:15 p.m.
Beata Jackowska-Zduniak (SGGW)
Modelowanie chorób układu bodźco-przewodzącego serca
Zaproponowane modele matematyczne opisują zaburzenia rytmu serca związane z występowaniem dodatkowych dróg przewodzenia. W wyniku dodatkowego zewnętrznego pobudzenia powstaje fala nawrotna występująca w okolicy węzła przedsionkowo-zatokowego zaburzająca zatokowy rytm serca i prowadząca do częstoskurczu nadkomorowego. …
March 16, 2022, 12:15 p.m.
Urszula Foryś (MIMU UW)
About CAR-T cells model proposed by the team of Victor Perez Garcia
I will present analysis of simple 2-dimensional model of CAR-T cells proposed in "Dual-Target CAR-Ts with On- and Off-Tumour Activity May Override Immune Suppression in Solid Cancers: A Mathematical Proof of Concept" (O. León-Triana et …
March 9, 2022, 12:15 p.m.
Dominika Machowska (Uniwersytet Łódzki)
Closed-loop Nash equilibrium for a partial differential game with application to competitive personalized advertising
This paper is devoted to an N-person partial differential game whose dynamics of the state variable is described by a hyperbolic differential equation with certain boundary and initial conditions while the objective of each player …
March 2, 2022, 12:15 p.m.
Agnieszka Wiszniewska-Matyszkiel (MIMU UW)
Sharks, squalene and COVID vaccines - When a scarce renewable resource becomes strategic in short run
I will talk about the joint work with Rajani Singh. We model the problem of ''the tragedy of the commons'' in the context of COVID-19 vaccines with adjuvants based on squalene obtained from endangered deep-sea …
Jan. 26, 2022, 12:15 p.m.
Aleksandra Puchalska (MIMU UW)
Inviscid Burgers equation on a metric tree
Consider the classical inviscid Burgers equation u_t+uu_x=0 in a monodimensional case. The basic interpretation of the system explains the motion of one wave, creation of shocks and rarefaction waves, but does not capture the interaction …
Jan. 19, 2022, 12:15 p.m.
Juan Belmonte Beitia (University of Castilla-La Mancha, Spain)
Analysis of a mathematical model of solid tumor treated with CAR-T cells
In this presentation, we address a theoretical study and its numerical simulations of CAR-T cell-based therapies for solid tumors. We study mathematically the periodic CAR-T cells instillations using impulsive differential equations which are studied using …
Jan. 12, 2022, 12:15 p.m.
Katarzyna Szymańska-Dębowska (Politechnika Łódzka)
Canard solutions and singularly perturbed predator-prey models
We consider a singularly perturbed initial value problem in the case of intersecting quasi stationary manifolds. The main results are concerned with the asymptotic behavior of solutions as the small parameter tends to zero. As …
Dec. 8, 2021, 12:15 p.m.
Antoni Augustynowicz (Uniwersytet Gdański)
Odwracalność pewnych skończonych dwuwymiarowych liniowych automatów komórkowych
Będzie o tym, jak opublikowane błędy powodują następne publikacje, a bywa, że dużo lepsze poprawne wyniki. Konkretniej, to opowiem o dwóch pracach. Pierwsza pokazuje, że pewna praca o odwracalności automatów na siatce heksagonalnej, opublikowana za …