New weakly interacting particles and resonance

I am wondering if it is possible for there to be a new type of particles that interact with known physical particles so weakly that they elude our observation, but which may influence certain physical systems in a significant way by amplifying their weak interaction via resonance.

Specifically, I have in mind physical systems like a brain, where the putative weak force might induce significant resonance on the scale of neurons or neuronal networks. This would result in measurable changes in fMRI or EEG but due to the limited level of detail of our measurements of complicated brain processes it might be difficult to tell whether these changes are entirely caused by known physical forces.

Would it be possible for such weakly interacting particles to induce measurable changes in brain activity via resonance?