PCa dynamics with neuroendocrine differentiation and distributed delay

Autor: Leo Turner, Andrew Burbanks, Marianna Cerasuolo

Publikováno v: Mathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 8577-8602 (2021)

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

Externí odkaz: https://doaj.org/article/e309c0ff28964966bd373574189afcff

Existence of the FS-type renormalisation fixed point for unidirectionally-coupled pairs of maps

Autor: Andrew Burbanks, Andrew Osbaldestin

Publikováno v: Journal of Physics A: Mathematical and Theoretical. 56:195202

We give the first proof of the existence of a renormalisation fixed-point for period-doubling in pairs of maps of two variables lying in the so-called Feigenbaum-Summation (FS) universality class. The first map represents a subsystem that is unimodal

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2b56e3e8b7bd3a675488aee46269a902
https://doi.org/10.1088/1751-8121/acc7dd

PCa dynamics with neuroendocrine differentiation and distributed delay

Autor: Andrew Burbanks, Leo Turner, Marianna Cerasuolo

Publikováno v: Mathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 8577-8602 (2021)

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c998d80e25947aaddee7c12a7c8eb54
https://pubmed.ncbi.nlm.nih.gov/34814314

Rigorous computer-assisted bounds on the period doubling renormalization fixed point and eigenfunctions in maps with critical point of degree 4

Autor: Judi A Thurlby, Andrew Burbanks, Andrew H. Osbaldestin

Publikováno v: Journal of Mathematical Physics. 62:112701

We gain tight rigorous bounds on the renormalization fixed point for period doubling in families of unimodal maps with degree 4 critical point. We use a contraction mapping argument to bound essential eigenfunctions and eigenvalues for the linearizat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1799ccb5424f34700ab433d44e157173
https://doi.org/10.1063/5.0054823

Explicit construction of an autonomous Hamiltonian system exhibiting continual directed flow

Autor: Colm Mulhern, Andrew H. Osbaldestin, Andrew Burbanks, Dirk Hennig

Publikováno v: Burbanks, A, Hennig, D, Mulhern, C & Osbaldestin, A 2012, ' Explicit construction of an autonomous Hamiltonian system exhibiting continual directed flow ', Physics Letters A, vol. 376, no. 34, pp. 2283-2287 . https://doi.org/10.1016/j.physleta.2012.05.051

We construct a prototypical example of a spatially-open autonomous Hamiltonian system in which localised, but otherwise unbiased, ensembles of initial conditions break spatio-temporal symmetries in the subsequent ensemble dynamics, despite time rever

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e6540fe88c3ea1462b6720022d36353
https://doi.org/10.1016/j.physleta.2012.05.051