Organizers

prof. dr hab. Urszula Foryś

Information

Wednesdays, 2:15 p.m. , room: 5070

Research fields

Biomathematics

List of talks

March 23, 2016, 2:15 p.m.
Adam Korpusik (UWM Olsztyn)
A nonstandard finite difference scheme for a basic model of cellular immune response to viral infection
I will present a numerical method designed for the simulation of the basic mathematical model of cellular immune response to viral infection (originally proposed by M.A. Nowak and C.R. Bangham). The proposed numerical method is …
March 16, 2016, 2:15 p.m.
Rajani Singh
Numerical versus analytic calculation of optima and equilibria in Fish Wars model with finite time horizon
In our research, we analyse a model of Fish Wars, first introduced by Levhari and Mirman, restricted to finite time horizon. In this models, dynamic games of extraction of common fishery by n>2 countries is …
March 9, 2016, 2:15 p.m.
1) Mariusz Bodzioch (doktorant UWM, stażysta KNOW-a, 2) Piotr Bajger (doktorant MISDoMP) i Mariusz Bodzioch
1) Active case finding among homeless people as a means of reducing the incidence of pulmonary tuberculosis in general population. 2) Role of cell competition in acquired chemotherapy resistance.
1) The incidence of tuberculosis (TB) declined more than two-fold, compared with the national average, in the northeastern region of Poland in the period of 2003–2012. During that time, four programs of active case finding …
Jan. 20, 2016, 2:15 p.m.
Aleksandra Falkiewicz (Politechnika Łódzka, doktorantka)
Modeling of proliferation of gene mutations in aged structured populations
One of the basic methods in modeling the proliferation of gene mutations is by the systems of ordinary differential equations expressing appropriate conservation principles. Another possibility is to use a model containing more information about …
Jan. 13, 2016, 2:15 p.m.
Mateusz Dębowski (doktorant MIM)
Cell cycle model - continuation
My presentation will be continuation about model of cell cycle which include influence of protein CDC6. In my first presentation I showed my primary approach with many unknown functions in model and now I will …
Dec. 16, 2015, 2:15 p.m.
Oskar Górniewicz (doktorant w projekcie A. Wiszniewskiej-Matyszkiel)
Verification and refinement of Fischer-Mirman fish wars model
In 1992 the paper "Strategic Dynamic Interaction -- Fish wars" by Fischer and Mirman was published. In that paper authors described dynamic, discrete, two population fish model. It is considered three problems: 1) symbiosis 2) …
Dec. 9, 2015, 2:15 p.m.
Jan Poleszczuk (H. Lee Moffitt Cancer Center & Research Institute)
Abscopal benefits of localized radiotherapy depend on activated T cell trafficking and distribution between metastatic lesions
It remains unclear how localized radiotherapy for cancer metastases can occasionally elicit a systemic antitumor effect, known as the abscopal effect, but historically it has been speculated to reflect the generation of a host immunotherapeutic …
Dec. 2, 2015, 2:15 p.m.
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 …
Nov. 25, 2015, 2:15 p.m.
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 …
Nov. 18, 2015, 2:15 p.m.
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 …
Nov. 4, 2015, 2:15 p.m.
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 …
Oct. 28, 2015, 2:15 p.m.
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 …
Oct. 21, 2015, 2:15 p.m.
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 …
June 3, 2015, 2:15 p.m.
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 …
May 27, 2015, 2:15 p.m.
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 …