Barrio, R. A. and Zhang, L. and Maini, P. K. (1997) Hierarchically coupled ultradian oscillators generating robust circadian rhythms. Bulletin of Mathematical Biology, 59 (3). pp. 517532.

PDF
1MB 
Abstract
Ensembles of mutually coupled ultradian cellular oscillators have been proposed by a number of authors to explain the generation of circadian rhythms in mammals. Most mathematical models using many coupled oscillators predict that the output period should vary as the square root of the number of participating units, thus being inconsistent with the wellestablished experimental result that ablation of substantial parts of the suprachiasmatic nuclei (SCN), the main circadian pacemaker in mammals, does not eliminate the overt circadian functions, which show no changes in the phases or periods of the rhythms. From these observations, we have developed a theoretical model that exhibits the robustness of the circadian clock to changes in the number of cells in the SCN, and that is readily adaptable to include the successful features of other known models of circadian regulation, such as the phase response curves and light resetting of the phase.
Item Type:  Article 

Uncontrolled Keywords:  n/a 
Subjects:  A  C > Biology and other natural sciences 
Research Groups:  Centre for Mathematical Biology 
ID Code:  444 
Deposited By:  Philip Maini 
Deposited On:  28 Nov 2006 
Last Modified:  29 May 2015 18:22 
Repository Staff Only: item control page