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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Carvalho, Tiago [1] ; Cristiano, Rony [2] ; Rodrigues, Diego S. [3] ; Tonon, Durval J. [2]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Fac Philosophy Sci & Letters Ribeirao Preto, Dept Comp & Math, BR-14040901 Ribeirao Preto, SP - Brazil
[2] Univ Fed Goias, Inst Math & Stat, BR-74001970 Goiania, Go - Brazil
[3] Univ Estadual Campinas, Sch Technol, BR-13484332 Limeira, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS; OCT 2021.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 17/00883-0 - Piecewise smooth vector fields with applications in biology
Grantee:Tiago de Carvalho
Support Opportunities: Regular Research Grants
FAPESP's process: 19/10450-0 - Piecewise smooth vector fields: Closing Lemmas, shifts and horseshoe dynamics.
Grantee:Tiago de Carvalho
Support Opportunities: Regular Research Grants