Zobrazeno 1 - 10
of 130
pro vyhledávání: '"Kirk, Vivien"'
Oscillations of free intracellular calcium concentration are thought to be important in the control of a wide variety of physiological phenomena, and there is long-standing interest in understanding these oscillations via the investigation of suitabl
Externí odkaz:
http://arxiv.org/abs/2401.16839
Phenomena in chemistry, biology and neuroscience are often modelled using ordinary differential equations (ODEs) in which the right-hand-side is comprised of terms which correspond to individual 'processes' or 'fluxes'. Frequently, these ODEs are cha
Externí odkaz:
http://arxiv.org/abs/2104.07304
Publikováno v:
In Journal of Theoretical Biology 21 March 2024 581
Autor:
Benson, J. Cory, Romito, Olivier, Abdelnaby, Ahmed Emam, Xin, Ping, Pathak, Trayambak, Weir, Sierra E., Kirk, Vivien, Castaneda, Francisco, Yoast, Ryan E., Emrich, Scott M., Tang, Priscilla W., Yule, David I., Hempel, Nadine, Potier-Cartereau, Marie, Sneyd, James, Trebak, Mohamed
Publikováno v:
In Journal of Biological Chemistry November 2023 299(11)
Akademický článek
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Publikováno v:
Bulletin of Mathematical Biology; Jul2024, Vol. 86 Issue 7, p1-23, 23p
Akademický článek
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Publikováno v:
SIAM J. Applied Dynamical Systems Vol.11, No. 4, pp. 1360-1401 (2012)
Robust heteroclinic cycles are known to change stability in resonance bifurcations, which occur when an algebraic condition on the eigenvalues of the system is satisfied and which typically result in the creation or destruction of a long-period perio
Externí odkaz:
http://arxiv.org/abs/1206.4328
Publikováno v:
Dynamical Systems, 25: 3, 323-349 (2010)
We describe an example of a structurally stable heteroclinic network for which nearby orbits exhibit irregular but sustained switching between the various sub-cycles in the network. The mechanism for switching is the presence of spiralling due to com
Externí odkaz:
http://arxiv.org/abs/0911.5690
Autor:
Kirk, Vivien, Rucklidge, Alastair M.
Publikováno v:
Dynamical Systems, Vol. 23, No. 1, March 2008, 43-74
The effect of small forced symmetry breaking on the dynamics near a structurally stable heteroclinic cycle connecting two equilibria and a periodic orbit is investigated. This type of system is known to exhibit complicated, possibly chaotic dynamics
Externí odkaz:
http://arxiv.org/abs/nlin/0608001