On the dynamics of matrix of models for immune clonal networks
Authors:
- A. A. Balinsky,
- V. V. Gafiychuk,
- B. Yu. Kyshakevych,
- A. K. Prykarpatsky
Abstract
We suggest some new matrix models for clonal network dynamics which are typical for simulating manybiological clonal type networks and study their dynamics to the stable states. We describe in detail andderives the corresponding matrix equations governing immune system dynamics based on the generalgradient type principles that can be inherent to a wide class of real living objects. Clonal networks ofspecial type are modelled by symmetric projector matrix variables simultaneously taking into account bothasymmetry of the interaction to each other and adaptation states that can be realized owing to possibleidiotypic clonal suppressions. We perform computer simulations of the model dynamics for some simplecases of relatively low dimension, paying special attention to the dynamics of amounts of activated receptorstrings within clonal network.
- Record ID
- CUT4d1c983b41ff41ab959665b199046233
- Publication categories
- ;
- Author
- Other language title versions
- Dinamika matričnih modelej ìmunnih klonovih merež
- Journal series
- Nelìnìjnì kolivannâ = Nonlinear Oscillations, ISSN 1562-3076
- Issue year
- 2020
- Vol
- 23
- No
- 4
- Pages
- 439-456
- Article number
- 1322
- Other elements of collation
- wykr.; Bibliografia (na s.) - 454-456; Bibliografia (liczba pozycji) - 42; Oznaczenie streszczenia - Streszcz. ang., ukr.; Numeracja w czasopiśmie - Vol. 23, No. 4
- Keywords in English
- dynamical systems, clonal networks, optimization, matrix models
- URL
- https://www.imath.kiev.ua/~nosc/web/show_article.php?article_id=1322&lang=en Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 5
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT4d1c983b41ff41ab959665b199046233/
- URN
urn:pkr-prod:CUT4d1c983b41ff41ab959665b199046233
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