Firing Rate of the Noisy Quadratic Integrate-and-Fire Neuron
نویسندگان
چکیده
We calculate the firing rate of the quadratic integrate-and-fire neuron in response to a colored noise input current. Such an input current is a good approximation to the noise due to the random bombardment of spikes, with the correlation time of the noise corresponding to the decay time of the synapses. The key parameter that determines the firing rate is the ratio of the correlation time of the colored noise, tau(s), to the neuronal time constant, tau(m). We calculate the firing rate exactly in two limits: when the ratio, tau(s)/tau(m), goes to zero (white noise) and when it goes to infinity. The correction to the short correlation time limit is O(tau(s)/tau(m)), which is qualita tively different from that of the leaky integrate-and-fire neuron, where the correction is O( radical tau(s)/tau(m)). The difference is due to the different boundary conditions of the probability density function of the membrane potential of the neuron at firing threshold. The correction to the long correlation time limit is O(tau(m)/tau(s)). By combining the short and long correlation time limits, we derive an expression that provides a good approximation to the firing rate over the whole range of tau(s)/tau(m) in the suprathreshold regime-that is, in a regime in which the average current is sufficient to make the cell fire. In the subthreshold regime, the expression breaks down somewhat when tau(s) becomes large compared to tau(m).
منابع مشابه
Are the input parameters of integrate-and-fire neurons uniquely determined by rate and CV?
Integrate-and-fire (IF) neurons have found widespread applications in computational neuroscience. Particularly important are stochastic versions of these models where the driving consists of a mean input (base current μ) and a fluctuating current (white Gaussian noise of intensity D). Different IF models have been proposed, the firing statistics of which depends nontrivially on the input parame...
متن کاملSupplemental appendix for “ Response of Integrate - and - Fire Neurons to Noisy Inputs Filtered by Synapses with Arbitrary Timescales : Firing Rate and Correlations ”
متن کامل
Memristor Bridge Synapse Application for Integrate and Fire and Hodgkin-Huxley Neuron Cell
Memory resistor or memristor is already fabricated successfully using current nano dimension technology. Based on its unique hysteresis, the amount of resistance remains constant over time, controlled by the time, the amplitude, and the polarity of the applied voltage. The unique hysteretic current-voltage characteristic in the memristor causes this element to act as a non-volatile resistive me...
متن کاملSynchronization and spindle oscillation in noisy integrate-and-fire-or-burst neurons with inhibitory coupling
We propose another integrate-and-fire model as a single neuron model. We study a globally coupled noisy integrate-and-fire model with inhibitory interaction using the Fokker-Planck equation and the Langevin equation, and find a reentrant transition of oscillatory states. Intermittent time evolutions of neuron firing are found in strongly inhibited systems. We propose another integrate-and-fire-...
متن کاملAre the input parameters of white-noise-driven integrate & fire neurons uniquely determined by rate and CV?
Integrate & fire (IF) neurons have found widespread applications in computational neuroscience. Particularly important are stochastic versions of these models where the driving consists of a synaptic input modeled as white Gaussian noise with mean μ and noise intensity D. Different IF models have been proposed, the firing statistics of which depends nontrivially on the input parameters μ and D....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Neural computation
دوره 15 10 شماره
صفحات -
تاریخ انتشار 2003