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Mathematical insights into neuroendocrine transdifferentiation of human prostate cancer cells

التفاصيل البيبلوغرافية
العنوان: Mathematical insights into neuroendocrine transdifferentiation of human prostate cancer cells
المؤلفون: Leo Turner, Andrew Burbanks, Marianna Cerasuolo
المصدر: Nonlinear Analysis, Vol 26, Iss 5 (2021)
بيانات النشر: Vilnius University Press, 2021.
سنة النشر: 2021
المجموعة: LCC:Analysis
مصطلحات موضوعية: prostate cancer, neuroendocrine transdifferentiation, mathematical model, sensitivity analysis, bifurcation, Analysis, QA299.6-433
الوصف: Prostate cancer represents the second most common cancer diagnosed in men and the fifth most common cause of death from cancer worldwide. In this paper, we consider a nonlinear mathematical model exploring the role of neuroendocrine transdifferentiation in human prostate cancer cell dynamics. Sufficient conditions are given for both the biological relevance of the model’s solutions and for the existence of its equilibria. By means of a suitable Liapunov functional the global asymptotic stability of the tumour-free equilibrium is proven, and through the use of sensitivity and bifurcation analyses we identify the parameters responsible for the occurrence of Hopf and saddle-node bifurcations. Numerical simulations are provided highlighting the behaviour discovered, and the results are discussed together with possible improvements to the model.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1392-5113
2335-8963
Relation: https://www.journals.vu.lt/nonlinear-analysis/article/view/24441; https://doaj.org/toc/1392-5113; https://doaj.org/toc/2335-8963
DOI: 10.15388/namc.2021.26.24441
URL الوصول: https://doaj.org/article/5f25c2cfea5a45f1b4fbff71433b33ff
رقم الأكسشن: edsdoj.5f25c2cfea5a45f1b4fbff71433b33ff
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:13925113
23358963
DOI:10.15388/namc.2021.26.24441