Hierarchy of motions and quasi-particles in a simplified model of potassium channel selectivity filter

We develop a simplified model of themultiply occupied Kcsa-like selectivityfilter based on the best availablestructural data. The existence of hierarchyof motions in the selectivity filter isshown. Fast fluctuations of the ion-iondistances may be considered adiabaticallydecoupled from the slow diffusive motion ofthe ions' center of masses. The latter canbe considered as a quasi-particle, called aquasi-ion, moving in an effectivepotential. In the Kcsa-like selectivityfilter occupied by three ions the effectivepotential allows free barrier-lessdiffusional motion of the quasi-ions. Theconcept of the quasi-ions performing iontranslocation through the channel may bevital in explaining barrier-less `knock-on' conduction postulated for real channels.