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Cotygodniowe seminarium badawcze
Lista referatów
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8 marca 2017 14:15
Mirosław Lachowicz (Uniwersytet Warszawski (MIM))
Logistic growth at the individual level
I am going to present an individual-based (microscopic) model corresponding to macroscopic logistic growth. The asymptotic stability and ''asymptotic chaos'' will be discussed.
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1 marca 2017 14:30
Jan Poleszczuk (IBIB PAN)
Variance-based sensitivity analysis for systems with delays
During the first part of my talk I will make a brief introduction to the variance-based sensitivity analysis methods for general dynamical systems. I will focus mainly on the Fourier Amplitude Sensitivity Test (FAST) which …
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25 stycznia 2017 14:15
Adam Korpusik (Uniwersytet Warszawski/Uniwersytet Warmińsko-Mazurski)
On the nonlocal discretization of basic mathematical models of viral infection
I will present two nonstandard finite difference schemes designed for the numerical simulation of basic mathematical models of viral infection. The proposed methods preserve the non-negativity and equilibria (along with their stability conditions), as well …
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18 stycznia 2017 14:15
Jacek Sadowski (Politechnika Warszawska, Wydział Matematyki i Nauk Informacyjnych)
Differential equations with coeffcients in Sobolev spaces
I would like to talk about ordinary and delay differential equations with coefficients in Sobolev spaces. An example of a differential system with measurable singular right hand side is the system of motion of n-bodies. …
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11 stycznia 2017 14:15
Piotr Bajger (doktorant MISDoMP)
Optimal therapy for heterogeneous tumours
I will discuss a model for a growth of a heterogeneous tumour from a point of view of optimal control. The main issue is how to choose an appropriate objective functional so that two goals …
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30 listopada 2016 14:15
Kamila Łyczek (doktorantka MIM) (Uniwersytet Warszawski)
Optimization in infinite time horizon
Pontryagin's maximum principle is used in optimal control theory to find the best possible control for taking a dynamical system from one state to another, especially in the presence of constraints for the state or …
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23 listopada 2016 14:15
Marcin Choiński (doktorant MIM)
Criss-cross modeling of TB
We consider a criss-cross model describing tuberculosis epidemic dynamics. The case in study considers Warmian-Masurian province of Poland and is related to actions of active detecting of tuberculosis in homeless people subpopulation. In the model …
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16 listopada 2016 14:15
Rajani Singh (doktorantka MIM)
A Linear-Quadratic Common Resource Extraction Game with Many Players and Binding Constraints
We analyse a linear quadratic multistage game of extraction of a common renewable resource by many players with state dependent constraints for exploitation and infinite time horizon. We analyse social optimum and Nash equilibrium for …
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1 czerwca 2016 14:15
Magdalena Bogdańska
A mathematical model describes the malignant transformation of low grade gliomas
Gliomas are the most frequent type of primary brain tumours. Low grade gliomas (LGGs) may grow very slowly for long periods of time, however they inevitably cause death due to the phenomenon known as the …
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27 kwietnia 2016 14:15
Iwona Skrzypczak (WMIM UW)
Calcium homeostasis in rat body. Introduction
I am going to present the biological background and explanation of calcium homeostasis model in rat body by David Granjon, Aurelie Edwards and Olivier Bonny. The problem of regulation of calcium level is very complex. …
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20 kwietnia 2016 14:15
Daria Wójcik (studentka MIM)
Group size effect on cooperation in social dilemmas.
I will present the article (Helene Barcelo, Valerio Capraro, arxiv 2014) that concerns the following question: does larger group size favour or prevent cooperation? The authors compare the predictions of two most widely used models …
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13 kwietnia 2016 14:15
Urszula Foryś
Some remarks on the Gottman, Murray et al. model of marital dissolution and time delays
I consider mathematical model proposed by Gottman, Murray and collaborators to describe marital dissolution. This model is described in the framework of discrete dynamical system reflecting emotional states of wife and husband, which is, however, …
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23 marca 2016 14:15
Adam Korpusik (UWM Olsztyn)
A nonstandard finite difference scheme for a basic model of cellular immune response to viral infection
I will present a numerical method designed for the simulation of the basic mathematical model of cellular immune response to viral infection (originally proposed by M.A. Nowak and C.R. Bangham). The proposed numerical method is …
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16 marca 2016 14:15
Rajani Singh
Numerical versus analytic calculation of optima and equilibria in Fish Wars model with finite time horizon
In our research, we analyse a model of Fish Wars, first introduced by Levhari and Mirman, restricted to finite time horizon. In this models, dynamic games of extraction of common fishery by n>2 countries is …
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9 marca 2016 14:15
1) Mariusz Bodzioch (doktorant UWM, stażysta KNOW-a, 2) Piotr Bajger (doktorant MISDoMP) i Mariusz Bodzioch
1) Active case finding among homeless people as a means of reducing the incidence of pulmonary tuberculosis in general population. 2) Role of cell competition in acquired chemotherapy resistance.
1) The incidence of tuberculosis (TB) declined more than two-fold, compared with the national average, in the northeastern region of Poland in the period of 2003–2012. During that time, four programs of active case finding …
