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In neuroscience, a frequency-current curve (fI or F-I curve) is the function that relates the net synaptic current (I) flowing into a neuron to its firing rate (F) Because the f-I curve only specifies the firing rate rather than exact spike times, it is a concept suited to the rate coding rather than temporal coding model of neuronal computation. Common mathematical models for f-I include the sigmoid, exponential, and rectified linear functions.

The experimental study of how neuronal firing rates can relate to applied currents goes back at least as far as Hodgkin.

References

1. Troyer, Todd W.; Miller, Kenneth D. (1997). "Integrate-and-Fire Neurons Matched to Physiological F-I Curves Yield High Input Sensitivity and Wide Dynamic Range". In Bower, James M. (ed.). Computational Neuroscience. Springer US. pp. 197–201. doi:10.1007/978-1-4757-9800-5_32. ISBN 978-1-4757-9802-9.
2. Cardin, Jessica A.; Palmer, Larry A.; Contreras, Diego (2008-07-10). "Cellular mechanisms underlying stimulus-dependent gain modulation in primary visual cortex neurons in vivo". Neuron. 59 (1): 150–160. doi:10.1016/j.neuron.2008.05.002. PMC 2504695. PMID 18614036.
3. Hodgkin, AL (15 March 1948). "The local electric changes associated with repetitive action in a non-medullated axon". The Journal of Physiology. 107 (2): 165–81. doi:10.1113/jphysiol.1948.sp004260. PMC 1392160. PMID 16991796.
4. Ermentrout, B. (1998-10-01). "Linearization of F-I curves by adaptation". Neural Computation. 10 (7): 1721–1729. doi:10.1162/089976698300017106. PMID 9744894. S2CID 14122918.

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