Temat: integro-differential equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Mathematical Modeling of the Competition Between Acquired Immunity and Cancer
Autorzy:: Kolev, M.
Powiązania:: https://bibliotekanauki.pl/articles/908160.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: medycyna
matematyka
leukemia
acquired immunity
immunotherapy
antibodies
integro-differential equations
Opis:: In this paper we propose and analyse a model of the competition between cancer and the acquired immune system. The model is a system of integro-differential bilinear equations. The role of the humoral response is analyzed. The simulations are related to the immunotherapy of tumors with antibodies.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 289-296
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Numerical modelling of the competition between the adaptive immune system and virus
Autorzy:: Kolev, M.
Powiązania:: https://bibliotekanauki.pl/articles/206177.pdf
Data publikacji:: 2011
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: numerical modelling
kinetic theory
active particles
integro-differential equations of Boltzmann type
nonlinear dynamics
virus
adaptive immune system
Opis:: We present and analyze numerically a mathematical model of interactions between adaptive immune system and viral infection. The model is a bilinear system of partial integro-differential equations of Boltzmann type. It is a generalization of the recently proposed kinetic models that consider particular (namely, the cellmediated and the humoral) immune mechanisms used in the fight against viral infections. We use Matlab to solve complicated system of equations, present the results of computer simulations and explain their immunological meaning. The results show that the model can describe in a better way (in comparison with the previous kinetic models) real biological situations and is able to illustrate various methods of therapy.
Źródło:: Control and Cybernetics; 2011, 40, 3; 763-778
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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