Volume 10 Supplement 1
Recovery of stimuli encoded with a Hodgkin-Huxley neuron using conditional PRCs
© Kim and Lazar; licensee BioMed Central Ltd. 2009
Published: 13 July 2009
The dynamics of Hodgkin and Huxley neuron for simple injected current waveforms such as steps and ramps has been extensively investigated in the literature . A non-linear perturbation analysis showed that a Hodgkin-Huxley neuron with deterministic gating variables is I/O equivalent with a project-integrate-and-fire (PIF) neuron with a variable threshold sequence . The PIF neuron integrates a projection of the stimulus onto the phase response curve that is, in turn, modulated by a phase shift process. The phase shift process is described by a differential equation that is stimulus driven. In the absence of the small perturbation term, the stimulus is tangentially coupled into the limit cycle of the Hodgkin-Huxely neuron and the PIF neuron reduces to an integrate-and-fire neuron.
The proposed algorithm is very flexible; it only requires the inversion of a matrix. It can be used for the recovery of stimuli encoded by a large class of neurons in the limit cycle region. It remains an open problem how the dendritic tree of a postsynaptic neuron is capable of recovering the information from its incoming spike sequence.
The work presented here was supported in part by NIH under grant number R01 DC008701-01 and in part by NSF under grant number CCF-06-35252.
This article is published under license to BioMed Central Ltd.