Temat: nonlinear theory - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: Discrete approximation of nonconvex hyperbolic optimal control problems with state constraints
Autorzy:: Chryssoverghi, I.
Bacopoulos, A.
Coletsos, J.
Kokkinis, B.
Powiązania:: https://bibliotekanauki.pl/articles/205975.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: dyskretyzacja
nieliniowy układ hiperboliczny
sterowanie optymalne
zasada minimum
discretization
existence theory
minimum principle
nonlinear hyperbolic systems
optimal control
relaxed controls
Opis:: We consider an opitmal control problem for systems defined by nonlinear hyperbolic partial differential equations with state constraints. Since no convexity assumptions are made on the data, we also consider the control problem in relaxed form. We discretize both the classical and the relaxed problenms by using a finite element method in space and a finite difference scheme in time, the controls being approximated by piecevise constant ones. We develop the existence theory and the necessary conditions for optimality, for the continous and the discrete problems. Finally, we study the behaviour in the limit of discrete optimality, admissibility and extremality properties.
Źródło:: Control and Cybernetics; 1998, 27, 1; 29-50
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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