phase-locking (Neil Todd )

Subject: phase-locking
From:    Neil Todd  <todd(at)FS4.PSY.MAN.AC.UK>
Date:    Thu, 11 Jan 2001 12:44:30 +0000

Dear All Thanks for the replies to my previous request. Now I have another, to do with phase-locking. A standard result in auditory physiology is the observation of phase-locked synchronisation of AN unit responses to sinusoidal stimulation. This may be assessed by means of the synchronisation index a_bar. Typically for a single unit a_bar might have a sigmoid shape as a function of stimulus intensity, e.g. a_bar = 1/[1 + exp(-alpha(INTENSITY - beta))]. My question is this. If one were to measure the group synchronisation across the whole nerve bundle, how would this summate as a function of the number of recruited individual units? Assuming that the underlying units have a well-defined distribution of growth functions, the bulk response will correspond to integration across the distribution. Intuitively I would expect the result of the integration to be asymptotic as a function of the number of units recruited, and to also have a sigmoid shape as a function of intensity. Rather than spend hours reinventing the wheel, I would be most grateful if anyone could suggest some references where I can find the maths for this. Regards Neil Todd

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