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Cotygodniowe seminarium badawcze
Lista referatów
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19 maja 2021 12:15
Agata Lonc (studentka MIM)
Mathematical modeling of bacteria spreading in the inter-hospital network
Diseases caused by multidrug-resistant bacteria are a serious problem in modern healthcare systems, increasing both mortality and cost of healthcare. Our aim is to create a network of hospitals which represents real transfer of patients, …
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12 maja 2021 12:15
Mark Chaplain (School of Mathematics and Statistics, Mathematical Institute, University of St Andrews)
A Mathematical Framework for Modelling the Metastatic Spread of Cancer
Invasion and metastasis are two of the hallmarks of cancer and are intimately connected processes. Invasion, as the name suggests, involves cancer cells spreading out from the main cancerous mass into the surrounding tissue, through …
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5 maja 2021 12:15
Mariusz Bodzioch (Uniwersytet Warmińsko-Mazurski w Olsztynie)
Angiogenesis and chemotherapy resistance: optimizing chemotherapy scheduling using mathematical modeling
Chemotherapy remains a widely used cancer treatment. Acquired drug resistance may greatly reduce the efficacy of treatment and means to overcome it are a topic of active discussion among researchers. One of the proposed solutions …
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28 kwietnia 2021 16:30
Urszula Ledzewicz (Lodz University of Technology & Dept. of Mathematics and Statistics, Southern Illinois University Edwardsville)
On the Role of the Objective in the Optimization of Compartmental Models for Biomedical Therapies
In the talk we review and discuss results obtained through an application of tools of nonlinear optimal control to biomedical problems. We start with introducing a general form of the compartmental model and then discuss …
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21 kwietnia 2021 12:15
Monika J. Piotrowska i Marek Bodnar (MIM UW)
On the optimal use of bevacizumab in unresected glioblastoma: An evidence-based mathematical approach
Glioblastoma (GBM) is the most common and aggressive type of brain tumor in adults, with a median patient survival slightly above one year, despite aggressive combination therapy with the alkilating agent temozolomide (TMZ) and radiation …
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7 kwietnia 2021 12:15
Victor Pérez-García (University of Castilla - La Mancha)
Scaling laws and evolutionary dynamics in cancer: Results and open mathematical problems
Many natural systems are complex entities composed of a large number of interacting individual elements. It is remarkable that they often obey the so-called scaling laws. These ‘laws’ relate an observable quantity to a measure …
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24 marca 2021 12:15
Sinem Serap (doktorantka UW)
Recent Developments in Neurotechnology
The idea of moving robotic devices just by thinking, through use of brain-computer interfaces (BCIs), has been research area that attracted attention since 1970s. BCI systems are used to allow users to communicate with computers …
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17 marca 2021 12:15
Urszula Foryś (MIM UW)
About Lyapunov functions for prostate cancer treatment model - continuation
I wil continue my talk about looking for Lyapunov functions for the model proposed to describe hormone sensitive prostate cancer treatment.
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10 marca 2021 12:15
Urszula Foryś (MIM UW)
About Lyapunov functions for prostate cancer treatment model
I will talk about looking for Lyapunov functions for the model proposed to describe hormone sensitive prostate cancer treatment.
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3 marca 2021 12:15
Marcin Choiński (doktorant MIM/Katedra Zastosowań Matematyki SGGW)
Discrete-time SIS models
I will talk about discrete-time SIS models which were based on their continuous counterparts. The first type of models reflects the dynamics of epidemics in a homogeneous population - in this case two-dimensional systems are …
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20 stycznia 2021 12:15
dr Mateusz Iskrzyński (Instytut Badań Systemowych Polskiej Akademii Nauk)
Structure and vulnerability of weighted empirical food webs
Species extinctions are compromising ecosystem functioning and services around the globe. The effects of species loss propagate over food webs (trophic networks). Food webs are directed graphs that represent feeding relationships, encoding matter flows as …
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13 stycznia 2021 12:15
Adam Błoch (Politechnika Łódzka)
A semigroup approach to hyperbolic systems on networks
Partial differential equations are not only purely mathematical objects but often they describe some natural phenomena. Given an equation we need to solve three basic problems. The first one is to choose an appropriate method …
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9 grudnia 2020 12:15
Aleksandra Puchalska (WMIM UW)
Revision of diffusion on metric graph
Dynamical processes along the edges of a graph with appropriate transmission conditions in the vertices appeared first around 1980. In the last forty years variety of new tools from analysis has been developed to deal …
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2 grudnia 2020 12:15
Łukasz Woźny (SGH Warsaw School of Economics)
Time consistent equilibria in dynamic models with recursive payoffs and behavioral discounting
We prove existence of time consistent equilibria in a wide class of dynamic models with recursive payoffs and generalized discounting involving both behavioral and normative applications. Our generalized Bellman equation method identifies and separates both: …
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18 listopada 2020 12:15
Jacek Miękisz i Marek Bodnar (MIM UW)
Evolution of populations with strategy-dependent time delays
We study the effects of strategy-dependent time delays on equilibria of evolving populations. It is well known that time delays may cause oscillations in dynamical systems. Here we report a novel behavior. We show that …
