PCa dynamics with neuroendocrine differentiation and distributed delay

Prostate cancer is the fifth most common cause of death from cancer, and the second most common diagnosed cancer in men. In the last few years many mathematical models have been proposed to describe the dynamics of prostate cancer under treatment. So far one of the major challenges has been the deve...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Leo Turner, Andrew Burbanks, Marianna Cerasuolo
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	distributed delay prostate cancer androgen deprivation therapy (adt) dynamical systems stability switches local asymptotic stability Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/e309c0ff28964966bd373574189afcff
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:e309c0ff28964966bd373574189afcff
record_format	dspace
spelling	oai:doaj.org-article:e309c0ff28964966bd373574189afcff2021-11-29T01:19:47ZPCa dynamics with neuroendocrine differentiation and distributed delay10.3934/mbe.20214251551-0018https://doaj.org/article/e309c0ff28964966bd373574189afcff2021-10-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021425?viewType=HTMLhttps://doaj.org/toc/1551-0018Prostate cancer is the fifth most common cause of death from cancer, and the second most common diagnosed cancer in men. In the last few years many mathematical models have been proposed to describe the dynamics of prostate cancer under treatment. So far one of the major challenges has been the development of mathematical models that would represent in vivo conditions and therefore be suitable for clinical applications, while being mathematically treatable. In this paper, we take a step in this direction, by proposing a nonlinear distributed-delay dynamical system that explores neuroendocrine transdifferentiation in human prostate cancer in vivo. Sufficient conditions for the existence and the stability of a tumour-present equilibrium are given, and the occurrence of a Hopf bifurcation is proven for a uniform delay distribution. Numerical simulations are provided to explore differences in behaviour for uniform and exponential delay distributions. The results suggest that the choice of the delay distribution is key in defining the dynamics of the system and in determining the conditions for the onset of oscillations following a switch in the stability of the tumour-present equilibrium.Leo Turner Andrew BurbanksMarianna CerasuoloAIMS Pressarticledistributed delayprostate cancerandrogen deprivation therapy (adt)dynamical systemsstability switcheslocal asymptotic stabilityBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 8577-8602 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	distributed delay prostate cancer androgen deprivation therapy (adt) dynamical systems stability switches local asymptotic stability Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	distributed delay prostate cancer androgen deprivation therapy (adt) dynamical systems stability switches local asymptotic stability Biotechnology TP248.13-248.65 Mathematics QA1-939 Leo Turner Andrew Burbanks Marianna Cerasuolo PCa dynamics with neuroendocrine differentiation and distributed delay
description	Prostate cancer is the fifth most common cause of death from cancer, and the second most common diagnosed cancer in men. In the last few years many mathematical models have been proposed to describe the dynamics of prostate cancer under treatment. So far one of the major challenges has been the development of mathematical models that would represent in vivo conditions and therefore be suitable for clinical applications, while being mathematically treatable. In this paper, we take a step in this direction, by proposing a nonlinear distributed-delay dynamical system that explores neuroendocrine transdifferentiation in human prostate cancer in vivo. Sufficient conditions for the existence and the stability of a tumour-present equilibrium are given, and the occurrence of a Hopf bifurcation is proven for a uniform delay distribution. Numerical simulations are provided to explore differences in behaviour for uniform and exponential delay distributions. The results suggest that the choice of the delay distribution is key in defining the dynamics of the system and in determining the conditions for the onset of oscillations following a switch in the stability of the tumour-present equilibrium.
format	article
author	Leo Turner Andrew Burbanks Marianna Cerasuolo
author_facet	Leo Turner Andrew Burbanks Marianna Cerasuolo
author_sort	Leo Turner
title	PCa dynamics with neuroendocrine differentiation and distributed delay
title_short	PCa dynamics with neuroendocrine differentiation and distributed delay
title_full	PCa dynamics with neuroendocrine differentiation and distributed delay
title_fullStr	PCa dynamics with neuroendocrine differentiation and distributed delay
title_full_unstemmed	PCa dynamics with neuroendocrine differentiation and distributed delay
title_sort	pca dynamics with neuroendocrine differentiation and distributed delay
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/e309c0ff28964966bd373574189afcff
work_keys_str_mv	AT leoturner pcadynamicswithneuroendocrinedifferentiationanddistributeddelay AT andrewburbanks pcadynamicswithneuroendocrinedifferentiationanddistributeddelay AT mariannacerasuolo pcadynamicswithneuroendocrinedifferentiationanddistributeddelay
_version_	1718407679719768064

PCa dynamics with neuroendocrine differentiation and distributed delay

Ejemplares similares