Francesco d'Ovidio
 
Technical University of Denmark, Department of Physics and CATS,
Building 309, 2800 Lyngby, Denmark

A population of glycolytic cells (each modelled by a supercritical
Hopf normal form) is considered, studying their collective dynamics.
Different initial conditions and/or (small) frequency mismatching
among the cells are introduced, showing that they can greatly affect
both the transient and the asymptotic collective behaviour. Moreover,
experiments can be proposed, in which the variance of the cellular
natural frequency and the coupling strength can be obtained by
measuring the perturbation response of the mean oscillations only.

The analysis is performed obtaining the equation of motion for the mean
value of a population of globally coupled supercritical Hopf normal form
with a distribution of natural frequencies.