E. Salinas et Lf. Abbott, A MODEL OF MULTIPLICATIVE NEURAL RESPONSES IN PARIETAL CORTEX, Proceedings of the National Academy of Sciences of the United Statesof America, 93(21), 1996, pp. 11956-11961
Visual responses of neurons in parietal area 7a are modulated by a com
bined eye and head position signal in a multiplicative manner. Neurons
with multiplicative responses can act as powerful computational eleme
nts in neural networks. In the case of parietal cortex, multiplicative
gain modulation appears to play a crucial role in the transformation
of object locations from retinal to body-centered coordinates. It has
proven difficult to uncover single-neuron mechanisms that account for
neuronal multiplication. Here we show that multiplicative responses ca
n arise in a network model through population effects. Specifically, n
eurons in a recurrently connected network with excitatory connections
between similarly tuned neurons and inhibitory connections between dif
ferently tuned neurons can perform a product operation on additive syn
aptic inputs. The results suggest that parietal responses may be based
on this architecture.