Methods for comparing and constraining models of dendritic spines

Physiological evidence using Infrared Video Microscopy during the uncaging of glutamate has proven the existence of excitable calcium ion channels in spine heads, highlighting the need for reliable models of spines. In this study we compare the three main methods of simulating excitable spines: Baer & Rinzel's Continuum (B&R) model, Coombes' Spike-Diffuse-Spike (SDS) model and paired cable and ion channel equations (Cable model). Tests are done to determine how well the models approximate each other in terms of speed and heights of travelling waves. Significant quantitative differences are found between the models: travelling waves in the SDS model in particular are found to travel at much lower speeds and sometimes much higher voltages than in the Cable or B&R models. Meanwhile qualitative differences are found between the B&R and SDS models over realistic parameter ranges. The cause of these differences is investigated and potential solutions proposed.

Arthur et ses barons rebelles: la fin remaniée et abrégée de la Suite Vulgate dans le manuscrit du cycle du Graal, Paris, BNF fr. 344

The ms. Paris, BnF, fr. 344 was produced in Lorraine at the end of the thirteenth century and contains the whole Lancelot-Grail cycle. It presents an abridged version of the end of the Vulgate Sequel to Merlin. The rewriting of the end of the sequel glosses over the romantic episodes of the common version and focuses on the figure of Arthur, a legitimate sovereign and skilful war leader confronted by his barons’ dissidence. From the end of f° 182 to f° 184v°, BnF, fr. 344, narrates the departure of Kings Ban and Bohort for the Continent, the embassy of King Loth and his sons, and the fight against the Saxons of the Christian coalition gathered at Logres for the feast of the Holy Cross. This article shows the ideological implications of the abridgement and the illustration used at the end of the Vulgate Sequel in ms. fr. 344, as it exalts Arthur’s kingship and insists on the rallying, penance and submission of his rebelled vassals.