Synchronization of mitochondrial function is an important determinant of cell physiology and survival, yet little is known about the mechanism of interorganellar communication. We have recently observed that coordinated cell-wide oscillations in the mitochondrial energy state of heart cells can be induced by a highly localized perturbation of a few elements of the mitochondrial network, indicating that mitochondria represent a complex, self-organized system. Here, we apply percolation theory to explain the mechanism of intermitochondrial signal propagation in response to oxidative stress. A global phase transition (mitochondrial depolarization) is shown to occur when a critical density of mitochondria accumulate reactive oxygen species above a threshold to form an extended spanning cluster. The scaling and fractal properties of the mitochondrial network at the edge of instability agree remarkably well with the idea that mitochondria are organized as a percolation matrix, with reactive oxygen species as a key messenger.reactive oxygen species ͉ ion channels ͉ oscillation ͉ oxidative stress ͉ cardiomyocyte S patial and temporal coordination of information in both physical and biological systems is crucial for mounting an effective response to sudden environmental changes. Such systems often evolve to operate close to the edge of dynamic instability (1-5). The heart is a prime example; when subjected to stress (e.g., ischemia and reperfusion), the normally well coordinated oscillations of electrical and contractile activity become unstable (6-8), giving rise to arrhythmias involving interactions among many cells in the syncytium. At the subcellular level, adapting energy production to meet a variable metabolic demand depends on the coordinated action of thousands of mitochondria in the cardiac myocyte, which are distributed between myofilaments in a lattice-like network of nonlinear elements. This arrangement is conducive to spatiotemporal patterns of self-organization, for instance, oscillations and͞or propagating waves (9, 10). However, it is not known how individual mitochondria interact with their neighbors or how metabolic signals are communicated over cellular distances. Elucidating this mechanism is vitally important, because the rapid and irreversible loss of mitochondrial inner membrane potential (⌬⌿ m ) is a decisive factor in necrotic or apoptotic cell death.We have recently described synchronized whole-cell oscillations of ⌬⌿ m , NADH, and reactive oxygen species (ROS) production induced by controlled depolarization of mitochondria in a small volume of the cardiomyocyte (10). The accumulation of mitochondrial ROS up to a critical threshold level was a key determinant of propagation and synchronization of the response throughout the mitochondrial network, thus resembling a system at the critical state [i.e., characterized by an extreme susceptibility to external factors (11)]. We proposed that the cell-wide propagation of the local perturbation (10) was mediated by ROS liberated from a mitochondrion trig...