Theoretical implications of the size principle of motoneurone recruitment

There are a limited number of ways by which an orderly recruitment of motoneurones by size might occur in a population of similar neurones activated by synapses with invariant average properties and uniform distribution: (i) The smaller motoneurones might have lower voltage thresholds, or, if spherical, current thresholds that increase more rapidly than the square of the diameter, or faster than the inverse of input resistance, (ii) Smaller motoneurones might receive a higher uniform density of afferent boutons than larger cells, (iii) Larger cells might show a disproportionately large increase in soma diameter compared with smaller cells, thus having a smaller ratio of soma to dendrite input resistances.In particular, a size principle does not automatically arise from cells receiving a constant density of afferent terminals, even if the afferents end preferentially on the motoneurone dendrites, and despite the fact that individual synapses generate larger EPSPs in smaller cells.