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Single and collective cellular oscillations involving the actomyosincytoskeleton have been observed in numerous biological systems. We show herethat a generic model of a contractile material, which is turning over andcontracts against an elastic element, exhibits spontaneous oscillations. Such amodel can thus account for shape oscillations observed in amnioserosa cellsduring dorsal closure of the Drosophila embryo. We investigate the collectivedynamics of an ensemble of such oscillators and show that the relativecontribution of viscous and friction losses yield different regimes ofcollective oscillations. Taking into account the diffusion of contractileelements, our theoretical framework predicts the appearance of traveling waveswhich might account for the propagation of actomyosin contractile wavesobserved during morphogenesis.

Spontaneous oscillations from turnover of an elastic contractile material