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Cotygodniowe seminarium badawcze
Lista referatów
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18 kwietnia 2012 16:15
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 …
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4 kwietnia 2012 16:15
Jurij Kozicki (UMCS)
Markov Dynamics in a Spatial Ecological Model with Dispersion and Competition Part II but hopefully self-contained
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28 marca 2012 16:15
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 …
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21 marca 2012 16:15
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, …
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14 marca 2012 16:15
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 …
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7 marca 2012 16:15
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 …
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29 lutego 2012 16:15
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 …
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18 stycznia 2012 16:15
Jędrzej Jabłoński (Uniwersytet Warszawski)
Modeling mortality of a size-structured population using optimization approach to predator's behaviour (case of fish and Daphnia)
Existing models of fish predation are either descriptive or lack realistic assumptions on predator's motion. Presented model fills this gap. The pure optimization approach gives answers not only about prey mortality, but also about predator's …
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14 grudnia 2011 16:15
Tatiana Ryabukha (Institute of Mathematics, National Academy of Sciences of Ukraine and MIMUW)
The Liouville Equation for a Stochastic Particle System
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7 grudnia 2011 16:15
Marek Bodnar (Uniwersytet Warszawski)
Friction dominated dynamics of interacting particles locally close to a crystallographic lattice towards conclusion but of course self contained
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30 listopada 2011 16:15
Marek Bodnar (Uniwersytet Warszawski)
Friction dominated dynamics of interacting particles locally close to a crystallographic lattice. Self-contained continuation
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23 listopada 2011 16:15
Karol Wawrzyniak (ICM UW & National Centre for Nuclear Research)
On Phenomenology, Dynamics and some Applications of the Minority Game
Minority game (MG) was designed as a microscopic model of adaptive behavior observed in multi-agent systems where being in minority is profitable. It was shown that the MG exhibits different modes of behavior, depending on …
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16 listopada 2011 16:15
Marek Bodnar (Uniwersytet Warszawski)
Friction dominated dynamics of interacting particles locally close to a crystallographic lattice
We study a system of particles, in general d-dimensional space, that interact by means of pair potential and adjust their positions according to the gradient flow dynamics induced by the total energy of the system. …
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19 października 2011 16:15
Roman Cherniha, (Institute of Mathematics of NASU, National University 'Kyiv-Mohyla Academy ')
Mathematical model for fluid-glucose-albumin transport in dialysis and its steady-state solutions
Mathematical description of fluid and solute transport between blood anddialysis fluid in the peritoneal cavity has not been formulated fully yet,in spite of the well known basic physical laws for such transport. Recentmathematical, theoretical and …
