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

Autor(es)

Carvalho, Tiago ^[1] ; Cristiano, Rony ^[2] ; Rodrigues, Diego S. ^[3] ; Tonon, Durval J. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS; OCT 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 17/00883-0 - Campos vetoriais suaves por partes com aplicações em problemas biológicos
• Beneficiário: Tiago de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 19/10450-0 - Campos vetoriais suaves por partes: Closing Lemmas, shifts e dinâmicas do tipo ferradura.
• Beneficiário: Tiago de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Regular