The initial synapses of the auditory system, which connect hair cells to afferent nerve fibers, display two unusual features. First, synaptic transmission occurs in a multiquantal fashion: the contents of multiple synaptic vesicles are discharged simultaneously. Second, synaptic transmission may be tuned to specific frequencies of stimulation. We developed a minimal theoretical model to explore the possibility that hair-cell synapses achieve both multiquantal release and frequency selectivity through a cooperative mechanism for the exocytotic release of neurotransmitter. We first characterized vesicle release as a four-step cycle at each release site, then generalized the result to an arbitrary number of steps. The cyclic process itself induces some degree of resonance, and may display a stable, underdamped fixed point of the release dynamics associated with a pair of complex eigenvalues. Cooperativity greatly enhances the frequency selectivity by moving the eigenvalues toward the imaginary axis; spontaneously oscillatory release can arise beyond a Hopf bifurcation. These phenomena occur both in the macroscopic limit, when the number of release sites involved is very large, and in the more realistic stochastic regime, when only a limited number of release sites participate at each synapse. It is thus possible to connect multiquantal release with frequency selectivity through the mechanism of cooperativity. afferent fiber | auditory system | multiquantal release | multivesicular release | vestibular system T he principal means of intercellular signaling in the nervous system is chemical neurotransmission, in which an electrically excited presynaptic cell releases transmitter from an intracellular storage site. Upon binding to postsynaptic receptors, the transmitter molecules produce a postsynaptic current that can be recorded with a microelectrode. Observations made in the presence of a reduced extracellular concentration of Ca 2þ , the ion whose entry into a presynaptic terminal initiates exocytosis, established that transmitter release is quantal in nature. Several lines of experimentation further demonstrated that transmitter accumulates in membrane-bounded synaptic vesicles and that each stochastic fusion of a vesicle with the surface membrane yields a quantal postsynaptic event. Exocytosis occurs at a presynaptic active zone that comprises an array of release sites surrounded by hundreds of synaptic vesicles.Synaptic transmission faces serious challenges in the auditory system, which has evolved to process high-frequency stimuli with great temporal precision. Our ability to localize a sound source by detecting the interval between the arrival times of the signal at the two ears, for example, requires a neural precision of less than 20 μs (1). In a second example, the firing of neurons in some animals displays significant phase-locking to stimuli at frequencies approaching 10 kHz (2). The first synaptic relay of the auditory pathway connects a hair cell, the sensory receptor of the ear, to an afferent nerve f...