gain modulation
Gain modulation is a brain trick for turning the volume of a neuron up or down without changing what tune it is listening for. Imagine a radio: the station you are tuned to stays exactly the same, but you can make it louder or softer. In the same way, a neuron keeps preferring the same thing — say, a line tilted at a certain angle, or a sound from a certain direction — but its overall response to that preferred thing gets bigger or smaller depending on context. The shape of its preference is untouched; only the height is scaled.
Why does this matter? It lets the brain blend two pieces of information in a single cell. A neuron in the visual cortex might fire most for an object at a particular tilt (that is its tune), while signals about where your eyes are pointing quietly multiply its response up or down (that is its volume). Because the multiplying happens without scrambling the cell's preference, downstream neurons can still read off the tilt, yet they also get a flavor of the eye position folded in. This is how attention, eye and head position, and overall arousal can reweight signals — making relevant inputs count for more — without rewiring the circuit. Mechanisms thought to produce it include shifting a neuron's background bombardment of inputs, balanced changes in excitation and inhibition, and the influence of rhythmic network states.
Mathematically, gain modulation looks like multiplying a neuron's tuning curve by a number, rather than adding to or shifting it.