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Coherent oscillatory activity can arise spontaneously as a result ofincreased coupling in a system of excitable and passive cells, each beingquiescent in isolation. This can potentially explain the appearance ofspontaneous rhythmic contractions in the pregnant uterus close to term. Weinvestigate the transition to periodic activity using a model system comprisinga lattice of excitable cells, each being coupled to a variable number ofpassive cells whose distribution defines a quenched realization (replica) ofspatial disorder. Close to the transition between quiescent state and sustainedoscillations in the system we observe large fluctuations between differentreplicas induced by variations in the local density of passive cells around anexcitable cell. We demonstrate that the disorder-induced fluctuations can bedescribed in terms of a simple scaling relation which involves the strength ofcoupling between excitable cells, the mean passive cell density, as well as thelogarithm of the system size. Our results can be interpreted as suggesting thatlarger organs will have greater variability in the onset of persistentactivity.

Large variability in dynamical transitions in biological systems with quenched disorder