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Journal of Dynamical and Control Systems

Erschienen in:

29.10.2021

Global Analysis of the Dynamics of a Piecewise Linear Vector Field Model for Prostate Cancer Treatment

verfasst von: Tiago Carvalho, Rony Cristiano, Diego S. Rodrigues, Durval J. Tonon

Erschienen in: Journal of Dynamical and Control Systems | Ausgabe 2/2022

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Abstract

Oncological therapies usually are applied intermittently, i.e., not continuously over time. In the periods in between, though, the cancer cells are usually left free to grow. This intermittency is a key issue in prostate cancer hormonal therapies based on androgen suppression. Here, we address this treatment modality by analyzing a piecewise smooth vector field approach. In fact, using the PSA (prostate-specific antigen) serum level as a control variable to switch between treatment and no-treatment periods of hormone therapy (androgen withdrawal), by means of typical parameter values, our theoretical analysis supports the idea that intermittent androgen suppression may prevent a prostate cancer relapse for a specific class of patients.

Vorheriger Artikel Optimal Distributed Control of the Three-dimensional Planetary Geostrophic Equations

Nächster Artikel On the Existence of Positive Periodic Solutions for N-Species Lotka-Volterra Competitive Systems with Distributed Delays and Impulses

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Androgen is a generic term which refers to any natural or synthetic steroid hormone.

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Titel: Global Analysis of the Dynamics of a Piecewise Linear Vector Field Model for Prostate Cancer Treatment
verfasst von: Tiago Carvalho
Rony Cristiano
Diego S. Rodrigues
Durval J. Tonon
Publikationsdatum: 29.10.2021
Verlag: Springer US
Erschienen in: Journal of Dynamical and Control Systems / Ausgabe 2/2022
Print ISSN: 1079-2724
Elektronische ISSN: 1573-8698
DOI: https://doi.org/10.1007/s10883-021-09576-9

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