Nonlinear multiplicative dendritic integration in neuron and network models.

TitleNonlinear multiplicative dendritic integration in neuron and network models.
Publication TypeJournal Article
Year of Publication2013
AuthorsZhang D, Li Y, Rasch MJ, Wu S
JournalFrontiers in computational neuroscience
Volume7
Pagination56
Date Published2013
Abstract

Neurons receive inputs from thousands of synapses distributed across dendritic trees of complex morphology. It is known that dendritic integration of excitatory and inhibitory synapses can be highly non-linear in reality and can heavily depend on the exact location and spatial arrangement of inhibitory and excitatory synapses on the dendrite. Despite this known fact, most neuron models used in artificial neural networks today still only describe the voltage potential of a single somatic compartment and assume a simple linear summation of all individual synaptic inputs. We here suggest a new biophysical motivated derivation of a single compartment model that integrates the non-linear effects of shunting inhibition, where an inhibitory input on the route of an excitatory input to the soma cancels or "shunts" the excitatory potential. In particular, our integration of non-linear dendritic processing into the neuron model follows a simple multiplicative rule, suggested recently by experiments, and allows for strict mathematical treatment of network effects. Using our new formulation, we further devised a spiking network model where inhibitory neurons act as global shunting gates, and show that the network exhibits persistent activity in a low firing regime.

DOI10.1155/2013/212156
Alternate JournalFront Comput Neurosci