On the dynamics of matrix models for immune clonal networks

Balinsky, A. A. ORCID: https://orcid.org/0000-0002-8151-4462, Gafiychuk, V. V., Kyshakevych, B. Yu. and Prykarpatsky, A. K. 2021. On the dynamics of matrix models for immune clonal networks. Nonlinear Oscillations 23 (4) , pp. 439-456. Item availability restricted.

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Abstract

We suggest some new matrix models for clonal network dynamics which are typical for simulating many biological clonal type networks and study their dynamics to the stable states. We describe in detail and derives the corresponding matrix equations governing immune system dynamics based on the general gradient type principles that can be inherent to a wide class of real living objects. Clonal networks of a special type are modelled by symmetric projector matrix variables simultaneously taking into account both asymmetry of the interaction to each other and adaptation states that can be realized owing to possible idiotypic clonal suppressions. We perform computer simulations of the model dynamics for some simple cases of relatively low dimension, paying special attention to the dynamics of amounts of activated receptor strings within a clonal network.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
ISSN:	1562-3076
Related URLs:	https://www.imath.kiev.ua/~nosc/web/show...
Date of First Compliant Deposit:	16 March 2021
Date of Acceptance:	20 December 2020
Last Modified:	23 May 2023 17:46
URI:	https://orca.cardiff.ac.uk/id/eprint/139802

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