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Weekly research seminar
List of talks
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Jan. 25, 2023, 12:15 p.m.
Bartłomiej Wacław (Instytut Chemii Fizycznej PAN)
Stochastic models of growth with quasi-discrete generations
Stochastic models of growth and evolution of cells such as bacteria or cancer cells usually assume exponential distribution of division times. Birth, death, mutations, and other processes can then be modelled similarly to chemical reactions, …
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Jan. 18, 2023, 12:15 p.m.
Ryszard Rudnicki (IM PAN)
Non-Markovian models of cell cycle and immune status
We will begin by presenting a fairly general structured model, in which individuals are described by a variable that changes over time according to some process (deterministic or stochastic) until a critical moment occurs (for …
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Dec. 21, 2022, 12:15 p.m.
Marcin Penconek (Międzydziedzinowa Szkoła Doktorska UW)
Neuronal Mechanisms of Decision-Making: continuation
The talk given last week will be continued. This time the proposed model will be applied to modeling the probability weighting function postulated by the Prospect Theory (Kahneman and Tversky).
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Dec. 14, 2022, 12:15 p.m.
Marcin Penconek (Międzydziedzinowa Szkoła Doktorska UW)
Neuronal Mechanisms of Decision-Making
Human decision-making has been the subject of research in many disciplines including psychology, economics, and neuroscience. Over the last 50 years, different mathematical models of decision-making were proposed such as the race model, DDM, and …
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Dec. 7, 2022, 12:15 p.m.
Emilia Kozłowska (Katedra Inżynierii i Biologii Systemów, Politechnika Śląska)
Modelowanie matematyczne nowotworów litych na przykładzie nowotworu jajnika i płuca
Badania nad zrozumieniem mechanizmów jakimi żądzą komórki nowotworowe oraz badania nad poszukiwaniem nowych celów terapii antynowotworowej w większości opierają się na żmudnymi badaniami przedklinicznymi. Jednym z powodów dla którego tak ciężko znaleźć odpowiednio celowaną terapię …
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Nov. 23, 2022, 12:15 p.m.
Ritva Hurri-Syrjänen (University of Helsinki)
On Poincare-type inequalities and Choquet integrals
We discuss Poincare-type inequalities in terms of Choquet integrals with respect to Hausdorff content. Also, we consider a Trudinger-type inequality in this context. This is joint work with Petteri Harjulehto.
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Nov. 16, 2022, 12:15 p.m.
Urszula Foryś (MIM UW)
Analysis of 4D CAR-T treatment model: continuation
This will be a continuation of the previous seminar devoted to the analysis of 4D CAR-T treatment model of tumour.
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Nov. 9, 2022, 12:15 p.m.
Urszula Foryś (MIM UW)
Analysis of 4D CAR-T treatment model
This will be a working seminar devoted to the analysis of 4D CAR-T treatment model of tumour (in the context of glioma) proposed in Odelaisy León-Triana, Antonio Pérez-Martínez, Manuel Ramírez-Orellana and Víctor M. Pérez-García, Dual-Target …
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Nov. 2, 2022, 2:15 p.m.
Rabah Amir (Univesrity of Iowa)
Supermodular Games: Theory and Applications
This talk will introduce the basic class of supermodular games and the main general results of this theory. The topics include existence and order structure of pure-strategy Nash equilibria, iterated elimination of dominated strategies, convergence …
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Oct. 26, 2022, 12:15 p.m.
Olga Nesmelova/Julia Kalosha, (National Academy of Sciences of Ukraine)
Nonlinear boundary-value problems unsolved with respect to the derivative*/Asymptotic Stabilization of the Flexible Beam Oscillations**
*The mathematical description of numerous phenomena in many areas of electronics, theory of nonlinear oscillation, mechanics, biology and radio engineering leads to the necessity of investigating nonlinear partial differential equations. In a particular case, the …
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Oct. 19, 2022, 12:15 p.m.
Magdalena Szafrańska (Szkoła Doktorska Nauk Ścisłych i Przyrodniczych UW)
Mathematical model of psychotherapy
This presentation aims at showing a mathematical model of the dynamics of psychotherapy based on research in psychotherapy. In this context one of the studied elements are the influence of the external environment understood as …
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June 15, 2022, 12:15 p.m.
Miron Kursa (ICM UW)
Information theory for data analysis in biology
One of the key outputs of Shannon's information theory is that it gave as a framework for quantifying dependence, which is in turn crucial for a robust identification actual mechanisms in the chaos of reality. …
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June 8, 2022, 12:15 p.m.
Milena Matusik (Uniwersytet Gdański)
Leap-frog method for stochastic functional wave equation
We perform a time-space discretisation, known as the leap-frog method, for nonlinear stochastic functional wave equations driven by multiplicative time-space white noise. The method converges in L^2 at a rate of O(\sqrt{ h}), where h …
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May 18, 2022, 12:15 p.m.
Jarosław Śmieja (Politechnika Śląska)
Modelowanie wzrostu guza i odpowiedzi na terapię antynowotworową z uwzględnieniem przerzutowania
Literatura poświęcona zagadnieniom modelowania dynamiki nowotworów i ich odpowiedzi na różne formy terapii jest obszerna, a zastosowane metody bardzo różne - m.in. równania różniczkowe zwyczajne lub cząstkowe, równania różniczkowo-całkowe lub modele agentowe. Prace poruszające problem …
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April 27, 2022, 12:15 p.m.
Małgorzata Kardyńska (Politechnika Śląska)
Modeling of the JAK-STAT signaling pathway activated by Interferons type I and type II
The JAK-STAT signaling pathway regulates the expression of numerous genes related primarily to the immune response and is activated by cytokines, mainly Interferons (IFN) and Interleukins (IL). I will present our original model of the …
