GABAergic control of action potential propagation along axonal branches of mammalian sensory neurons

The main axons of mammalian sensory neurons are usually viewed as passive transmitters of sensory information. However, the spindle afferents of jaw-closing muscles behave as if action potential traffic along their central axons is phasically regulated during rhythmic jaw movements. In this paper, we used brainstem slices containing the cell bodies, stem axons, and central axons of these sensory afferents to show that GABA applied to the descending central (caudal) axon often abolished antidromic action potentials that were elicited by electrical stimulation of the tract containing the caudal axons of the recorded cells. This effect ofGABAwas most often not associated with a change in membrane potential of the soma and was still present in a calcium-free medium. It was mimicked by local applications of muscimol on the axons and was blocked by bath applications of picrotoxin, suggesting activation of GABAA receptors located on the descending axon. Antidromic action potentials could also be blocked by electrical stimulation of local interneurons, and this effect was prevented by bath application of picrotoxin, suggesting that it results from the activation of GABAA receptors after the release of endogenous GABA. We suggest that blockage is caused mainly by shunting within the caudal axon and that motor command circuits use this mechanism to disconnect the rostral and caudal compartments of the central axon, which allows the two parts of the neuron to perform different functions during movement

Verdier specialization via weak factorization

Let X in V be a closed embedding, with V - X nonsingular. We define a constructible function on X, agreeing with Verdier's specialization of the constant function 1 when X is the zero-locus of a function on V. Our definition is given in terms of an embedded resolution of X; the independence on the choice of resolution is obtained as a consequence of the weak factorization theorem of Abramovich et al. The main property of the specialization function is a compatibility with the specialization of the Chern class of the complement V-X. With the definition adopted here, this is an easy consequence of standard intersection theory. It recovers Verdier's result when X is the zero-locus of a function on V. Our definition has a straightforward counterpart in a motivic group. The specialization function and the corresponding Chern class and motivic aspect all have natural `monodromy' decompositions, for for any X in V as above. The definition also yields an expression for Kai Behrend's constructible function when applied to (the singularity subscheme of) the zero-locus of a function on V.Comment: Minor revision. To appear in Arkiv f\"or Matemati