neurophysiology - Photoreceptors and light with mixed frequencies

I am interested in how the activation of a, say, blue cone depends on the incident light. Wikipedia tells me this:

, which describes how strong the activation of the blue cone is for light with a single wavelength and a given intensity. But what happens if the incident light has several frequencies?

My question is: given the intensity i(f) of the incident light at frequency f, what is the activation of the blue cone?

(A natural guess would be that if b(f) is the activation curve in the figure, then the activation of the blue cone should be the integral of b(f)*i(f) over f. But I have not found any confirmation of this guess. For example, in the reference for the picture above, only pure light was used in the experiments.)

Answer

Yes, current color models assume a linear response in the spectrum.

Given a light with mixed spectrum $\Phi(\lambda)$, the response of a cone with spectral sensitivity $\Psi_i(\lambda)$ is a (nonlinear) function of the L2 inner product:

This is how CIE XYZ color space is defined.

Reference: