The phenomenon of persistent frustration of pollen tubes led us to recognition of a new form of anharmonic potential, which after a simple transformation may yield a so called ‘double well potential’. Because of possible links with conformational changes taking place in microtubules (MT) of human brain neuronal system, to start with, we have calculated the shift of energy levels of a double well potential with respect to the infinite square double well. We conjecture that the dynamic instability of MTs, which has not been elucidated yet, may be the effect of recently proposed mechanism of geometrical frustration, which can also be utilized in case of tubulin dimers forming parallel protofilament subunits in MTs and for modeling the cognitive brain processes.

double well potential, dynamic instability, transition zone, tubulin dimers