Startseite Mathematik Numerical stochastic modelling of the proliferation process of naive T-lymphocytes in the lymph node
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Numerical stochastic modelling of the proliferation process of naive T-lymphocytes in the lymph node

  • Nikolai V. Pertsev EMAIL logo und Konstantin K. Loginov
Veröffentlicht/Copyright: 6. November 2025

Abstract

A continuously discrete stochastic model describing the proliferation process of naive T-lymphocytes during their contact with dendritic cells in a single lymph node is presented. Contact interaction is carried out between antigen-specific naive T-lymphocytes and antigen-presenting dendritic cells. The model is defined in terms of a random process whose components contain populations of different cells and families of unique cell types located in separate phases of the cell cycle. Model assumptions, recurrence relations for model variables, and a numerical simulation algorithm based on the Monte Carlo method are presented. The results of computational experiments with the model are presented illustrating the dynamics of the development of a population of cells formed from multiplying antigen-specific naive T-lymphocytes (memory and effector cells).

MSC 2010: 92C42; 60J85; 65C05

Funding statement: The research was supported by the Russian Science Foundation, project No. 23–11–00116.

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Revised: 2025-03-26
Accepted: 2025-08-26
Published Online: 2025-11-06
Published in Print: 2025-11-25

© 2025 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 15.1.2026 von https://www.degruyterbrill.com/document/doi/10.1515/rnam-2025-0028/html
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