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Cotygodniowe seminarium badawcze
Lista referatów
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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 …
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20 stycznia 2016 14:15
Aleksandra Falkiewicz (Politechnika Łódzka, doktorantka)
Modeling of proliferation of gene mutations in aged structured populations
One of the basic methods in modeling the proliferation of gene mutations is by the systems of ordinary differential equations expressing appropriate conservation principles. Another possibility is to use a model containing more information about …
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13 stycznia 2016 14:15
Mateusz Dębowski (doktorant MIM)
Cell cycle model - continuation
My presentation will be continuation about model of cell cycle which include influence of protein CDC6. In my first presentation I showed my primary approach with many unknown functions in model and now I will …
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16 grudnia 2015 14:15
Oskar Górniewicz (doktorant w projekcie A. Wiszniewskiej-Matyszkiel)
Verification and refinement of Fischer-Mirman fish wars model
In 1992 the paper "Strategic Dynamic Interaction -- Fish wars" by Fischer and Mirman was published. In that paper authors described dynamic, discrete, two population fish model. It is considered three problems: 1) symbiosis 2) …
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9 grudnia 2015 14:15
Jan Poleszczuk (H. Lee Moffitt Cancer Center & Research Institute)
Abscopal benefits of localized radiotherapy depend on activated T cell trafficking and distribution between metastatic lesions
It remains unclear how localized radiotherapy for cancer metastases can occasionally elicit a systemic antitumor effect, known as the abscopal effect, but historically it has been speculated to reflect the generation of a host immunotherapeutic …
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2 grudnia 2015 14:15
Roman Cherniha (Institute of Mathematics of NASU, Kyiv, Ukraine)
A simplified Keller-Segel model: construction of exact solutions for the Cauchy and Neumann problems
A simplified Keller-Segel model is studied by means of Lie symmetry based approaches. It is shown that this (1+2)-dimensional nonlinear system is invariant with respect infinity-dimensional Lie algebra. The result is extended on the Cauchy …
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25 listopada 2015 14:15
Marcin Choiński (doktorant MIM)
Discrete models of epidemics
Two discrete models of epidemics will be presented. In the firstmodel there is assumption that there are two groups in the population – healthy and infected people. In the second model there is additional third …
