Neurophysiological modeling of voiding in rats: bladder pressure and postganglionic bladder nerve activity

A model was developed that describes the relations between bladder pressure and both efferent and afferent nerve activity in postganglionic bladder nerves in urethan-anesthetized rats. Nerve activity was calculated as the 100-ms time integral of the rectified nerve signal. Afferent and efferent nerve signals were measured separately by crushing the nerve proximally or distally. A linear relation was found between bladder pressure and afferent nerve activity (fit error < 7%), and the relation between bladder pressure and efferent nerve activity was described by a low-pass filter (fit error < 90%). In most experiments, combined (efferent and afferent) nerve activity was measured. Absence of efferent nerve activity was assumed during the pressure decrease immediately after voiding. From this episode, the afferent nerve activity was estimated for the entire measurement. Efferent nerve activity was then estimated assuming linear addition in the bidirectionally conducting nerves. The model described the measured data very well (fit error < 7%), and the model parameters showed a good reproducibility in each rat (SD was approximately 30% of the mean).