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Weekly research seminar
List of talks
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Dec. 5, 2018, 2:15 p.m.
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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Nov. 28, 2018, 2:15 p.m.
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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Nov. 14, 2018, 2:15 p.m.
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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Nov. 7, 2018, 2:15 p.m.
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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Oct. 24, 2018, 2:15 p.m.
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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June 6, 2018, 2:15 p.m.
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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May 30, 2018, 2:15 p.m.
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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May 23, 2018, 2:15 p.m.
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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May 16, 2018, 2:15 p.m.
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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May 9, 2018, 2:15 p.m.
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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April 18, 2018, 2:15 p.m.
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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April 11, 2018, 2:15 p.m.
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 …
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March 14, 2018, 2:15 p.m.
prof. Dominika Nowis (Warszawski Uniwersytet Medyczny)
The role of arginase-1 in the development of antitumor immune response
Depletion of essential (L-tryptophan) or semi-essential (L-arginine) amino acids has been shown to suppress antitumor immune responses. Arginase-1 (ARG-1) is a cytosolic enzyme catalyzing degradation of L-arginine to L-ornithine and urea, depleting tumor microenvironment of …
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Feb. 28, 2018, 2:15 p.m.
Urszula Foryś (Uniwersytet Warszawski (MIM))
Modelling of ADR effect
Acquired drug resistance syndrom (ADR) is one of the most important features associated with tumour treatment. I will present some ideas of mathmatical modelling of ADR basing on the paper: E. Ollier et al.: Analysis …
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Jan. 24, 2018, 2:15 p.m.
Anita Krawczyk (Uniwersytet Łódzki, Katedra Analizy Matematycznej i Teorii Sterowania, Wydział Matematyki i Informatyki)
Numerical method for ɛ-optimal approximation of tumor growth inhibition by GM-CSF treatment
In this thesis we construct a computational method for ɛ-optimized approximation inhibition of tumor growth using GM-CSF treatment. First of all, we formulate and solve the system of partial differential equations. It’s a free boundary …
