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Cotygodniowe seminarium badawcze
Lista referatów
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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 …
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18 listopada 2015 14:15
Piotr Bajger (MISDoMP)
Mathematical models for the corrosion of magnesium and its alloys
Biodegradable materials have been extensively studied in recent years due to their potential to revolutionise the use of orthopaedic implants. In this context, one of the most promising candidates for a biomaterial is magnesium. When …
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4 listopada 2015 14:15
Magdalena Bogdańska (Uniwersytet Warszawski)
A data-motivated density-dependent diffusion model of in vitro glioblastoma growth
I will present very recent article by Stepien, Rutter and Kuang in Mathematical Biosciences and Engeneering, 2015. The research concerns modelling glioblastoma multiforme, which is is an extremely fatal brain cancer. It is characterized by …
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28 października 2015 14:15
Vladimir Mityushev (Department of Computer Sciences and Computer Methods, Pedagogical University Krakow)
Pattern formations and optimal packing
Patterns of different symmetries may arise after solution to reaction-diffusion equations. Hexagonal arrays, layers and their perturbations are observed in different models after numerical solution to the corresponding initial-boundary value problems. We demonstrate an intimate …
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21 października 2015 14:15
Jan Karbowski
Optymalizacja połączeń w mózgu
Seminarium będzie poświęcone strukturze mózgu ssaków, w szczególności korze mózgowej (kluczowej dla procesów kognitywnych). W przeszłości wysuwane były sugestie, że struktura mózgu jest w dużej części konsekwencją ewolucyjnej minimalizacji uzwojeń neuronowych (dendryty i aksony), jako …
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3 czerwca 2015 14:15
Mateusz Dębowski (Uniwersytet Warszawski)
A mathematical model for pancreatic cancer growth and treatments
I will present results of Y. Lauzoun, C. Xue, G. B. Lesinski and A. Friedman from 2014. They developed model of pancreatic cancer and shows that drugs aimed at suppressing cancer growth are effective only …
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27 maja 2015 14:15
Yaroslav Bihun (Yuriy Fedkovych Chernivtsi National University, Department of Applied Mathematics and Information Technology)
Systems of Multifrequency Differential Equations with Delay and their Application in Mathematical Modelling of Immune Response in Infectious Diseases
The obtained results in this work are a further development for multifrequency systems with constant and linear delay results of A.M. Samoylenko and R.I. Petryshyn for ordinary differential equations. New theorems on the existence and …
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20 maja 2015 14:15
Magdalena Bogdańska (Uniwersytet Warszawski)
Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment
I will present recent results of Iarosz et al., who propose a mathematical model for the evolution of a brain tumour under the influence of chemotherapeutic agents. Model describes the interactions among glial cells, neurons …
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6 maja 2015 14:15
Zbigniew Peradzyński (Uniwersytet Warszawski)
Fale wapniowe generowane napływem wapnia do komórki z przestrzeni międzykomórkowej poprzez mechanicznie otwierane kanały jonowe
Obserwacje wskazują, ze tego typu fale są dość powszechne. Ponadto mają one prędkości o rząd większe niż zwykłe fale wapniowe podtrzymywane przez autokatalityczne wydzielanie wapnia z magazynów wapniowych. W wykładzie zaproponujemy matematyczny model takich fal …
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29 kwietnia 2015 14:15
Agnieszka Bartłomiejczyk (Politechnika Gdańska)
Modelling gene expression of Hes1 protein
We analyze a model of gene transcription and protein synthesis and we investigate the effect of multiple binding sites in the Hes1 promoter. Hes1 protein, a transcriptional repressor, inhibits its own transcription by directly binding …
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22 kwietnia 2015 14:15
Beata Jackowska-Zduniak (SGGW)
Mathematical model of the av nodal double response tachycardia and double-fire pathology
A proposed model consisting of two coupled models (Hodgkin-Huxley model and Yanighara-Noma-Irisawa model) is considered as a description of the heart’s action potential. System of ordinary differential equations is used to recreate pathological behaviour in …
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8 kwietnia 2015 14:15
Agnieszka Wiszniewska-Matyszkiel i Marek Bodnar (Uniwersytet Warszawski)
Dynamic Oligopoly with Sticky Prices -- Off-Steady State Analysis
We present a comprehensive analysis of the model of oligopoly with sticky prices with full analysis of prices' behaviour outside its steady state level in the infinite horizon case. An exhaustive proof of optimality is …
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25 marca 2015 14:15
Magdalena Bogdańska (doktorantka MiSDoMP) (Uniwersytet Warszawski)
Mathematical model suggests a way to assess low grade glioma malignancy
Low grade gliomas (LGGs) are incurable primary brain tumours with typically slow evolution. For management decisions it is essential to find a method to verify tumours aggressiveness and test their response tostandard therapies with the …
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11 marca 2015 14:15
Urszula Zawadzka (doktorantka MiSDoMP) (Uniwersytet Warszawski)
Modelowanie w archeologii osadnictwa
"...Archeologia to dziedzina, która próbuje wyjaśnić wzorce nieuchwytnych zachowań, nieobserwowanych hominidów z niejednoznacznych śladów w złych próbach...". Powyższy cytat z Davida Clarke obrazuje większość problemów z jakimi spotykają się archeolodzy próbując modelować zachowania ludzkie w …
