Recorded 13 February 2024. Jonathan Rubin of the University of Pittsburgh presents "Using dynamics to constrain the connectivity of a neuronal population: a case study in the respiratory brainstem" at IPAM's Mathematical Approaches for Connectome Analysis Workshop. Abstract: In mammalian respiration, synchronized bursting activity of a select network of brainstem neurons drives the movement of the diaphragm that underlies inspiration. Experimental observations suggest that “pre-inspiratory” tonic spiking locally within this network may or may not ignite a widespread, synchronized activation, and when they do occur, these activations may manifest as small-scale burstlets or full-blown bursts. I will discuss two models related to this process, with an emphasis on a multi-state bootstrap percolation model that may provide insights about the connection architecture in this network, which is currently unknown. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/mathematical-approaches-for-connectome-analysis/?tab=overview