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Cotygodniowe seminarium badawcze
Lista referatów
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6 marca 2019 14:15
Piotr Bajger (doktorant MISDoMP)
Effects of Pharmacokinetics and DNA Repair on the Structure of Optimal Controls in a Simple Model of Radio-chemotherapy
In this talk two models of radiochemotherapy are considered. A reference simple model adopts a classical log-kill hypothesis for chemotherapy and a linear-quadratic response for radiotherapy. The model is represented by first order nonlinear differential …
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28 lutego 2019 12:30
Natalia Bielczyk (PhD candidate Stichting Solaris Onderzoek en Ontwikkeling, Nijmegen, the Netherlands)
On applied mathematics in brain research & on the open project entitled 'Effective Self-Management for Early Career Researchers in the Natural Sciences
In this seminar, I will review two topics. Firstly, I will briefly review my PhD research within the Donders Graduate School, Donders Institute for Brain, Cognition and Behavior, Nijmegen, the Netherlands. My work concerns developing …
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23 stycznia 2019 14:15
Jacek Sroka (MIM)
Simulating millions of interacting cells modelled with Quasi-Steady State Petri Net
I will present the the Quasi-Steady State Petri Net (QSSPN) model and explain how we can simulate populations of millions of interacting cells with modern cluster computing frameworks (the same that are used to analyse …
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5 grudnia 2018 14:15
Rajani Sinhg
Energy consumption in Bitcoin Mining: A Game Theoretic Analysis
Bitcoin is a decentralized cryptocurrency payment system, working without a single administrator or a third party bank. A bitcoin is created by miners, using complex mathematical "proof of work" procedures by computing hashes. For each …
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28 listopada 2018 14:15
Krzysztof Fujarewicz (Politechnika Śląska)
“Sensitivity analysis of systems with delays”
During the lecture the structural approach to sensitivity analysis, both forward and adjoint, will be presented. It is assumed that the system with discrete delay(s) is given in a structural form – as a block …
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14 listopada 2018 14:15
Marcin Choiński (Uniwersytet Warszawski (MIM))
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission - KONTYNUACJA
I will talk about the results presented in the article of P. van den Driessche and J. Watmough. The definition of the basic reproduction number (R0) and the criterion for the existence and stability of …
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7 listopada 2018 14:15
Marcin Choiński (Uniwersytet Warszawski (MIM))
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
I will talk about the results presented in the article of P. van den Driessche and J. Watmough. The definition of the basic reproduction number (R0) and the criterion for the existence and stability of …
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24 października 2018 14:15
Mariusz Bodzioch (Uniwersytet Warmińsko-Mazurski w Olsztynie)
SIS criss-cross models of tuberculosis in heterogenous populations
We propose a model of tuberculosis (TB) transmission in a heterogeneous population consisting of two different subpopulations, like homeless and non-homeless people. We use the criss-cross model to describe the illness dynamics. This criss-cross model …
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6 czerwca 2018 14:15
Katarzyna Szymańska-Dębowska (Politechnika Łódzka)
Canard solutions in equations with backward bifurcations
We consider a delayed exchange of stabilities for solutions of a singularly perturbed nonautonomous equation in the case when a backward bifurcation of its quasi--steady (critical) manifolds occurs. This result is applied to provide a …
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30 maja 2018 14:15
Rajani Singh (Uniwersytet Warszawski (MIM))
An infinite horizon dynamic optimization problem with constraints and applications to resource extraction problems
I would like to present our research work where we analyse an infinite horizon dynamic optimization problem -- a generalization of a linear quadratic problem with state dependent constraints. This model suits well extraction of …
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23 maja 2018 14:15
Adam Korpusik (Uniwersytet Warmińsko-Mazurski w Olsztynie)
Best" nonlocal discretization method for 2-dimensional population models
I will present a nonstandard finite difference method designed for numerical simulation of 2-dimensional mathematical models of population dynamics. The proposed method is based solely on the principle of nonlocal discretization. Independently of the chosen …
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16 maja 2018 14:15
Marcin Choiński (Uniwersytet Warszawski (MIM))
Analysis of a criss-cross model of tuberculosis for homeless and non-homeless subpopulations
We consider a criss-cross model describing tuberculosis epidemic dynamics, which is a modification of the model presented in Romaszko et al. In the model the population is divided into subpopulations of non-homeless and homeless people. …
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9 maja 2018 14:15
Joanna Stachowska-Piętka (IBIB PAN)
Mathematical modeling of fluid transport though the muscle tissue
Fluid transport through the tissue plays crucial role in keeping local body homeostasis. Bulk water flow works not only as a vehicle for transport of solutes that are necessary for proper functioning of cells but …
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18 kwietnia 2018 14:15
Zuzanna Szymańska i Mirosław Lachowicz (Uniwersytet Warszawski (ICM + MIM))
Mathematical modelling of tendon healing process: blow-ups mean healing
Tendon injuries, although not directly threatening the lives of the affected person, can significantly lower their quality of life. For a long time, the main therapeutic approach was surgery followed by a arduous rehabilitation. Even …
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11 kwietnia 2018 14:15
Tadeusz Kosztołowicz (Uniwersytet Jana Kochanowskiego w Kielcach)
Subdiffusion-absorption process in a system consisting of two different media separated by a thin membrane
We consider normal diffusion, subdiffusion and slow subdiffusion in a system which consists of two media separated by a thin membrane. The subdiffusion and absorption parameters may be different in each of the medium. Using …
