Computing the effects of excitatory-inhibitory balance on neuronal input-output properties

In sensory systems, stimuli are represented through the diverse firing responses and receptive fields of neurons. These features emerge from the interaction between excitatory and inhibitory neuron populations within the network. Changes in sensory inputs alter this balance, leading to shifts in firing patterns and the input-output properties of individual neurons and the network. While these phenomena have been studied extensively with experiments and theory, the underlying principles for combining E and I inputs are still unclear. Here, rules for probabilistically combining E and I inputs are derived that describe how neurons in a feedforward inhibitory circuit respond to stimuli. This simple model accounts for many response features that would otherwise require multiple distinct models and offers insights into the cellular and network mechanisms influencing the input-output properties of neurons, gain modulation, and the generation of various temporal firing patterns.