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Cotygodniowe seminarium badawcze
Lista referatów
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5 marca 2014 14:15
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 …
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26 lutego 2014 14:15
Jacek Waniewski (IBIB PAN)
Matematyczne modele transportu w czasie dializy otrzewnowej c.d.
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19 lutego 2014 14:15
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 …
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22 stycznia 2014 14:15
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 …
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15 stycznia 2014 14:15
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 …
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8 stycznia 2014 14:15
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 …
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11 grudnia 2013 14:15
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 …
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4 grudnia 2013 14:15
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.
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20 listopada 2013 14:15
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 …
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6 listopada 2013 14:15
Marek Bodnar (Uniwersytet Warszawski)
Global stability of steady steady state of delay differential equations in neural network model
We prove that a strong attractor of a discrete map implies global stability of a corresponding system of delay differential equations. We apply this result to a delayed Hopfield's model. We prove also that every …
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23 października 2013 14:15
Magdalena Bogdańska (Uniwersytet Warszawski)
Delay effects in the response of low grade gliomas to radiotherapy: a mathematical model and its therapeutical implications
Low grade gliomas (LGGs) are a group of primary brain tumors, which are highly infiltrative and generally incurable but have median survival time of more than 5 years because of low proliferation. Management of LGGs …
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16 października 2013 14:15
Simon Angus ((Monash University) )
he Similarity of Human Interest Amongst the Nations
Abstract: Are Australians more like Americans, British, New Zealanders or Indonesians? What shapes human interests more: contemporary events or events from long ago? This talk aims to answer these questions with a novel data source …
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9 października 2013 14:15
Simon Angus (Monash University)
"Challenges in silico: modelling delays, death and repair in EMT6/Ro tumor cells under a variety of multi-dose irradiation protocols"
Abstract: In silico (computational) techniques offer the potential to investigate efficiently many aspects of tumour development and progression. In particular, a calibrated, dynamic, in silico tumour model could be used to probe the combinatorially extensive, …
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5 czerwca 2013 16:15
Marek Bodnar (Uniwersytet Warszawski)
Traveling waves in reaction-diffusion equations with time delay
I will talk about traveling waves in reaction diffusion systems with delay. On the basis on some simple equation I will show problems that arise when looking for traveling fronts in equation with delay. In …
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15 maja 2013 16:15
Prof. Urszula Ledzewicz (USA)
Timing and Dosage of Anti-Cancer Drug Therapies: An Optimal Control Approach
A systematic study of cancer treatment requires that we take into account not only the cancerous cells and their growth, but also various aspects of the tumor microenvironment. Its elemets include various types of cancer …
