Yes, that's basically what I think actually happens. That physical particles in the brain don't behave according to currently accepted physical model – but the non-physical mind has the ability to "push them". For example, the supposedly random quantum phenomena may not be random but affected by our mind. It probably sounds crazy but I believe there is a reasonable argument backing this. A very brief summary – 1) mind is non-physical (see hard problem of consciousness) but physics can affect the mind 2) and the mind can affect the brain because otherwise I wouldn't be realize that mind is non-physical.