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Cotygodniowe seminarium badawcze
Lista referatów
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6 maja 2020 12:15
Urszula Foryś (MIM UW)
Using real data for construction of a dynamical model to personalize androgen deprivation therapy in hormone-sensitive prostate cancer
The results of cooperation with IMBM team on modeling of HSCP treated with leuprolide will be presented. We proposed a new mechanistic model describing cancer growth represented by a level of prostate specific antigen in …
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29 kwietnia 2020 16:00
Grzegorz Rempała (Ohio State University, USA)
Mathematics of a COVID Pandemic or How to Throw Stones at the Infection Curve
The role of mathematicians in helping to understand the dynamics of the 2020 pandemic and to offer useful insights seems by now hard to deny. In that spirit, I will present some recent work that …
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23 kwietnia 2020 14:30
Mirosław Lachowicz (MIM UW)
Równania różniczkowo-całkowe i ten dziwny świat (Integro-differential equations and this strange world)
Seminar Biomathematics and Game Theory -> Kolokwium Wydziału MIM UW (Colloquium Of MIM) (google meet), Thursday, 23/04/2020, 14:30. Zamierzam opowiedzieć o dziwnym matematycznym świecie równań różniczkowo-całkowych i ich związku z opisem naszego, nie mniej dziwnego, …
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15 kwietnia 2020 12:15
Dominika Jasińska (UMCS Lublin / MIM UW)
Markov evolution of infinite age-structured populations of migrants (Ewolucja nieskończonych populacji migrantów ze strukturą wiekową)
In this talk, I would like to present the Markov evolution of infinite age-structured populations of migrants arriving in and departing from a continuous habitat at random and independently of each other. Each population member …
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1 kwietnia 2020 12:15
Tomasz Lipniacki (IPPT PAN)
Impact of the constant and time-varied contact rate on COVID-19 pandemic dynamic
We constructed a simple Susceptible-Infected-Infectious-Excluded model of the spread of COVID-19. The model is parametrized only by the average incubation period \tau and two rate parameters: contact rate, r_C, and exclusion rate, r_E. The rates …
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25 marca 2020 12:15
Jacek Miękisz (MIM UW)
Matematycy o koronawirusie
Spotkanie będzie miało charakter przeglądu literatury. Jacek Miękisz przedstawi kilka artykułów z ostatnich dni, w których modelowano rozprzestrzenianie się COVID-19 (Coronavirus Disease 2019), w szczególności wykładniczy wzrost zarażeń. Z przyczyn oczywistych, seminarium odbędzie się "on …
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11 marca 2020 12:15
M. Lachowicz (MIM UW)
The discreet charm of asymmetric interactions
Some preliminary results for the integro-differential equations modelling asymmetric interactions in social sciences will be presented.
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4 marca 2020 12:15
Jacek Banasiak (University of Pretoria, South Africa)
Jacek Banasiak (UniversitRenormalization group and Chapman-Enskog methods in singularly perturbed dynamical systems on [0,∞)
Recently there have appeared several papers discussing applications of the so-called renormalization group method in singularly perturbed systems of equations. In this talk, I shall show that somewhat forgotten Chapman-Enskog asymptotic method leads to the …
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26 lutego 2020 12:15
Jacek Sadowski (MIM UW)
On the Tikhonov-type theorem for a certain class of singularly perturbed differential inclusions
We are going to compare some of recent results of Tikhonov type devoted to singularly perturbed differential inclusions. The object of investigation is the lower- and the upper-semicontinuity of the set of solutions of the …
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22 stycznia 2020 12:00
Mateusz Dębowski (MIM UW)
Mathematical aspects of the initial stage of M-phase of the cell cycle
We are going to present a specific mathematical model describing dynamics of proteins in the initial stage of M-phase of the cell cycle. We are going to show the importance and some mathematical aspects of …
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8 stycznia 2020 12:00
Dominika Jasińska (MCSU Lublin / MIM UW)
Immigration model of infinite age-structured populations
In this talk, we will see some recent results concerning the spatial immigration model of infinite age-structured populations. Using the correlation functions instead of the backward Kolmogorov equation one can consider an infinite chain of …
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18 grudnia 2019 12:00
Adam Błoch (Politechnika Łódzka)
Stability of compartmental disease transmission models via Lyapunov functions and basic reproduction number
Stability of the disease-free equilibrium is the crucial part of investigation of a compartmental disease transmission model. One of the most effective tools in study of stability are Lyapunov functions which in case of epidemiological …
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11 grudnia 2019 12:00
Marcin Choiński (MIM UW)
Continuous and discrete models of epidemic spread in heterogeneous populations.
Models of spread of infectious disease in heterogeneous populations will be presented. Firstly, the case when population is homogeneous will be considered. The continuous model for this case will be introduced. Next, I will present …
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4 grudnia 2019 12:00
Dariusz Wrzosek (MIM UW)
Mathematical models of taxis
Taxis is an oriented movement of biological cells or individuals toward gradient of some stimulus distributed in the environment. This mechanism, ubiquitous in nature, occurs at all levels of complexity of biological systems, starting from …
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27 listopada 2019 12:00
Purnedu Mishra (post-doc MIM UW)
Mathematical modelling of anti-predator behavior in predator-prey systems
Some studies have suggested that prey species stand to benefit most by defending during predator-prey encounters, but species in nature employ anti-predator defenses at various stages of interactions with their predators. The mechanism for maintaining …
