Organizers

prof. dr hab. Urszula Foryś

Information

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

Research fields

Biomathematics

List of talks

May 7, 2014, 2:15 p.m.
Emad Attia (doktorant z Egiptu)
On the distance between adjacent zeros of solutions of first order differential equation with distributed delays
The results of many publications that estimated the upper bound of the distance between adjacent zeros of any solution of first order delay differential equation will be displayed. We show some fundamental results for the …
April 30, 2014, 2:15 p.m.
Urszula Foryś (Uniwersytet Warszawski)
The survey on Lyapunov functions on the basis of the article by Sze-Bi Hsu c.d.
April 9, 2014, 2:15 p.m.
Agnieszka Bartłomiejczyk (Politechnika Gdańska) Henryk Leszczyński (Uniwersytet Gdański)
Asymptotyka rozwiązań w modelach populacyjnych o strukturze cech fizjologicznych z dyfuzją
Badamy model ewolucyjny uwzględniający śmiertelność, wzrost, narodziny i dyfuzję z warunkami brzegowymi Fellera. Rozpoczynamy rozważania od zasady maksimum, następnie analizujemy rozwiązania rozwijane w szereg Fouriera w przestrzeni Hilberta, która wyznaczona jest przez warunki Fellera. Struktura …
April 2, 2014, 2:15 p.m.
Agnieszka Dziekańska (alumni of University College Dublin, Systems Biology, Ireland)
Computational analysis of multi-stable signalling biochemical networks
In this talk, two novel approaches to investigate systemic properties of signalling biochemical networks will be introduced. The first approach focuses on the analysis of information processing in signalling networks performed by the application of …
March 26, 2014, 2:15 p.m.
Krzysztof Fujarewicz (Politechnika Śląska)
Structural sensitivity analysis of mathematical models in biology
Sensitivity analysis plays very important and useful role during modeling and analysis of dynamical systems. It answers the question how changes in model parameters affects the model solution. The answer to this question can be …
March 12, 2014, 2:15 p.m.
Marek Bodnar (Uniwersytet Warszawski)
General model of a cascade of reactions with time delays: global stability analysis c.d.
I discuss a general model of a cascade of reactions with discrete as well as distributed delays, which arose in the context of Hes1 gene expression. For the abstract general model sufficient conditions for global …
March 5, 2014, 2:15 p.m.
Marek Bodnar (Uniwersytet Warszawski)
General model of a cascade of reactions with time delays: global stability analysis
I discuss a general model of a cascade of reactions with discrete as well as distributed delays, which arose in the context of Hes1 gene expression. For the abstract general model sufficient conditions for global …
Feb. 26, 2014, 2:15 p.m.
Jacek Waniewski (IBIB PAN)
Matematyczne modele transportu w czasie dializy otrzewnowej c.d.
Feb. 19, 2014, 2:15 p.m.
Jacek Waniewski (IBIB PAN)
Matematyczne modele transportu w czasie dializy otrzewnowej
Modele opisują procesy wymiany płynu i substancji pomiędzy tkanką a:1) krwią przepływającą przez naczynia włosowate zawarte w tkance, oraz 2) otoczeniem tkanki (np. płynem dializacyjnym w jamie otrzewnowej lub żelem nałożonym na powierzchnię skóry). Modele …
Jan. 22, 2014, 2:15 p.m.
Maciej Cytowski, Zuzanna Szymańska (ICM UW)
Large Scale Parallel Simulations of 3-D Cell Colony Dynamics
Biological processes are inherentlyvery complex and involve many unknown relationships and mechanisms at different scales. Despite many efforts, one still cannot explain all the observed phenomena and, if necessary, make any desirable changes in the …
Jan. 15, 2014, 2:15 p.m.
Jan Poleszczuk (MiSDoMP i IBIB PAN)
Pulse wave propagation models
During the seminar I will present the state of the art of mathematical methods utilized in the modeling of the pulse wave propagation (PWP) through the arterial tree. In the spatially distributed approach, the whole …
Jan. 8, 2014, 2:15 p.m.
Paweł Zwoleński (IM PAN)
Phenotypic evolution of hermaphrodites
We consider finite, phenotype-structured population of hermaphrodites, and build an individual based model which describes interactions between the individuals. The model contains such elements as mating of individuals (random or assortative), inheritance of phenotypic traits …
Dec. 11, 2013, 2:15 p.m.
Beata Zduniak (SGGW Warszawa)
A VENTRICULAR TACHYCARDIA AND AV NODAL DOUBLE RESPONSE TACHYCARDIA IN A MODIFIED VAN DER POL EQUATION
A modified van der Pol equation is a mathematical model used to recreate physiological behaviour in the conducting heart's system. The use of certain values for coupled terms allows to simulate circulating re-entry waves, which …
Dec. 4, 2013, 2:15 p.m.
Urszula Foryś (Uniwersytet Warszawski)
Global stability for some types of delayed logistic equations - continuation
This time we will focus on the main goal that is the study of simple epidemic model of vector-borne diseases proposed by Cooke which belong to the class of delayed logistic equations.
Nov. 20, 2013, 2:15 p.m.
Urszula Foryś (Uniwersytet Warszawski)
Global stability for some types of delayed logistic equations
We will focus on proving global stability for three different types of delayed logistic equation. Our main goal will be to study simple epidemic model of vector-borne diseases proposed by Cooke which belong to the …