Organizers

prof. dr hab. Urszula Foryś

Information

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

Research fields

Biomathematics

List of talks

Nov. 21, 2012, 4:15 p.m.
Urszula Foryś (Uniwersytet Warszawski)
Constructing Lyapunov functionals
During the talk we will recall/summarise methods allowing to construct Lyapunov functionals for ODEs. We will start from linear ODEs and then switch to some non-linear examples.
Nov. 7, 2012, 4:15 p.m.
Marek Bodnar (Uniwersytet Warszawski)
Linear Chain Trick, distributed delays, and stability of steady states
The seminar is devoted to the theory of delay differential equations with distributed delays or in other words with memory. The Linear Chain Trick is discussed and I show under which condition an equation with …
Oct. 24, 2012, 4:15 p.m.
Jan Karbowski (MIMUW i IBIB PAN)
Translating neural activity into behavior
How neural activity in the brain generates a particular behavior is not well understood. The focus of the talk will be on modeling neural circuit responsible for forward and backward locomotion in the nematode C. …
Oct. 17, 2012, 4:15 p.m.
Piotr Szopa (Uniwersytet Warszawski)
Cellular calcium dynamics
During the talk I want to describe key aspects of cellularcalcium dynamics e.g. calcium channels, pumps and exchangersresponsible for calcium flows and the role of mitochondria and endoplasmic reticulum in calcium homeostasis.I want say a …
Oct. 10, 2012, 4:15 p.m.
Ishtiaq Ali (Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan, and MIMUW)
Numerical Solutions of Delay Differential Equations Using Spectral Methods
In this talk I shall present an efficient numerical approach for delay differential equations with vanishing proportional delays based on spectral methods. We develop a spectral approach for the pantograph type-delay differential equations. A Legendre …
May 16, 2012, 4:15 p.m.
Monika Piotrowska (Uniwersytet Warszawski)
Noise-sustained fluctuations in stochastic dynamics with a delay
May 9, 2012, 4:15 p.m.
Jan Poleszczuk (MISDOMP)
The impact of time delays on synchronizability in stochastic systems
April 25, 2012, 4:15 p.m.
Bogdan Kaźmierczak (IPPT)
Spatially extended model of kinase-receptor interaction in cells
We consider a spatially-extended model describing mutualphosphorylation of cytosolic kinase molecules and membrane receptors. The analyzed regulatory subsystem is a part of signal transduction mechanisms characteristic for immune receptors and Src family kinases. It couples …
April 18, 2012, 4:15 p.m.
Marina Dolfin (University of Messina)
MODELLING Th1-Th2 CELL BALANCE DURING T CELL MEDIATED IMMUNE RESPONSE
Experimental observations show the relevance of Th1-Th2 cell balance in hypersensitive reactions. We propose a theoretical model of T cell mediated immune response focusing on Th1-Th2 cell balance, in the mathematical framework of the theory …
April 4, 2012, 4:15 p.m.
Jurij Kozicki (UMCS)
Markov Dynamics in a Spatial Ecological Model with Dispersion and Competition Part II but hopefully self-contained
March 28, 2012, 4:15 p.m.
Beata Zduniak (Uniwersytet Warszawski)
INFLUENCE OF DELAYED FEEDBACK ON MODIFIED VAN DER POL OSCILLATOR
Modified van der Pol equation can be used to describe the activity of elements of electrical conduction system of human heart: sinoatrial node (SA), atrioventicular node (AV), and His Purkinje system. This model has a …
March 21, 2012, 4:15 p.m.
Jacek Banasiak (KwaZulu-Natal, Durban)
Classical solutions of fragmentation-coagulation equations with unbounded coagulation rates
So far fragmentation-coagulation equations with strong coagulation have been analysed using weak compactness techniques which only yielded weak solutions. Recently we have proved that the fragmentation operator is sectorial which, combined with some interpolation techniques, …
March 14, 2012, 4:15 p.m.
Jurij Kozicki (UMCS)
Markov Dynamics in a Spatial Ecological Model with Dispersion and Competition
The evolution of an individual-based spatial ecological model with dispersion and competition is studied. In the model, an infinite number of individuals, point particles in R^d, reproduce themselves, compete, and die at random. These events …
March 7, 2012, 4:15 p.m.
Urszula Foryś (Uniwersytet Warszawski)
On some SIRC epidemic model and vaccination strategies
We consider a model of SIRC type, taking into account four groups: susceptible, infected, removed and carriers. We study the dynamics in two interesting cases: when a positive steady state does not exist and when …
Feb. 29, 2012, 4:15 p.m.
Tatyana Ryabukha (Institute of Mathematics, National Academy of Sciences of Ukraine and MIMUW)
Equilibrium solutions for a microscopic model of population dynamics
Mirosław Lachowicz (MIMUW)Introduction to Tatiana's talkIn the talk, the problem of existence and uniqueness of equilibrium solutions to a microscopic model of population dynamics will be discussed. The model is a modified Liouville equation corresponding …