Autor: Foryś, U. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Artykuł

Skocz do pozycji: 2.

Tytuł:: Behaviour of Solutions to Marchuks Model Depending on a Time Delay
Autorzy:: Bodnar, M.
Foryś, U.
Powiązania:: https://bibliotekanauki.pl/articles/929743.pdf
Data publikacji:: 2000
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: antygen
przeciwciało
opóźnienie różniczkowe
antigen
antibody
plasma cell
organ-target
delay differential equation
stationary state
stability
bifurcation point
Opis:: Marchuk's model of an immune reaction is a system of differential equations with a time delay. The aim of this paper is to study the behaviour of solutions to Marchuk's model depending upon the delay of immune reaction and the history of an illness. We study Marchuk's model without delays, with aconstant delay and with an infinite delay. A continuous dependence on thedelay is considered. Bifurcation points are found using computer simulations.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 97-112
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Logistic Equations in Tumour Growth Modelling
Autorzy:: Foryś, U.
Marciniak-Czochra, A.
Powiązania:: https://bibliotekanauki.pl/articles/908165.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: matematyka
medycyna
logistic equation
delay differential equation
reaction-diffusion equation
stability
global stability
Hopf bifurcation
spatial pattern
Ehrlich ascities tumour
Opis:: The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the reaction term is also considered. Some mathematical properties of the presented models are studied in the paper. The results are illustrated using computer simulations.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 317-325
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: A modified van der Pol equation with delay in a description of the heart action
Autorzy:: Zduniak, B.
Bodnar, M.
Foryś, U.
Powiązania:: https://bibliotekanauki.pl/articles/330034.pdf
Data publikacji:: 2014
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: system with feedback
stability
action potential
sprzężenie zwrotne
stabilność
potencjał czynnościowy
Opis:: In this paper, a modified van der Pol equation is considered as a description of the heart action. This model has a number of interesting properties allowing reconstruction of phenomena observed in physiological experiments as well as in Holter electrocardiographic recordings. Our aim is to study periodic solutions of the modified van der Pol equation and take into consideration the influence of feedback and delay which occur in the normal heart action mode as well as in pathological modes. Usage of certain values for feedback and delay parameters allows simulating the heart action when an accessory conducting pathway is present (Wolff–Parkinson–White syndrome).
Źródło:: International Journal of Applied Mathematics and Computer Science; 2014, 24, 4; 853-863
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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