Influence of time delay on the dynamics of a mathematical model of CAR-T cell therapy with logistic tumor growth

We consider a model of CAR-T therapy for glioblastoma, focusing on the influence of time needed for an immune reaction to be triggered. This results in a system of delay differential equations which we investigate, studying the main properties of the model, including the number of steady states and their stability depending on the delay magnitude. Numerical simulations illustrate analytical results. We interpret mathematical results and formulate biological insights.

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Publication Details

Journal
Discrete and Continuous Dynamical Systems - B
Published
2025-01-01
DOI
https://doi.org/10.3934/dcdsb.2025073
Citations
3
Primary Topic
CAR-T cell therapy research
Type
article
Field-Weighted Citation Impact
3.14

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article

Influence of time delay on the dynamics of a mathematical model of CAR-T cell therapy with logistic tumor growth

Monika Joanna Piotrowska, Urszula Foryś, Marek Bodnar, Juan Belmonte-Beitia et al.
3 citations
Discrete and Continuous Dynamical Systems - B
CAR-T cell therapy research
3.14
article

Influence of time delay on the dynamics of a mathematical model of CAR-T cell therapy with logistic tumor growth

Monika Joanna Piotrowska, Urszula Foryś, Marek Bodnar, Juan Belmonte-Beitia, Mateusz Krukowski, Magdalena Szafrańska-Łęczycka
article en
3 citations

Abstract

We consider a model of CAR-T therapy for glioblastoma, focusing on the influence of time needed for an immune reaction to be triggered. This results in a system of delay differential equations which we investigate, studying the main properties of the model, including the number of steady states and their stability depending on the delay magnitude. Numerical simulations illustrate analytical results. We interpret mathematical results and formulate biological insights.

Discrete and Continuous Dynamical Systems - BVol. 30(11)
Lodz University of Technology (PL), Institute of Mathematics (PL), University of Warsaw (PL), University of Castilla-La Mancha (ES)
Ministerio de Ciencia e Innovación, Uniwersytet Warszawski, Universidad de Castilla-La Mancha, Junta de Comunidades de Castilla-La Mancha, European Regional Development Fund
Openalex Percentile: Top 8%
CAR-T cell therapy research
3.14
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