Dynamics of neuronal bursting

Ion concentration dynamics as a mechanism for neuronal bursting.

We describe a simple conductance-based model neuron that includes intra- and extracellular ion concentration dynamics and show that this model exhibits periodic bursting. The bursting arises as the fast-spiking behavior of the neuron is modulated by the slow oscillatory behavior in the ion concentration variables and vice versa. By separating these time scales and studying the bifurcation struc...

Mapping functional connectivity of bursting neuronal networks

*Correspondence: [email protected] The College of New Jersey, Department of Physics, 08628 Ewing, NJ, USA Abstract Using single-cell laser scanning photostimulation (LSPS) combined with broad-field calcium imaging, we measured the functional connectivity of neuronal cultures before and after the developmental appearance of network bursting. From these data, network properties were determined for...

Slow Manifold of a Neuronal Bursting Model

Emergent Synchronous Bursting of Oxytocin Neuronal Network

When young suckle, they are rewarded intermittently with a let-down of milk that results from reflex secretion of the hormone oxytocin; without oxytocin, newly born young will die unless they are fostered. Oxytocin is made by magnocellular hypothalamic neurons, and is secreted from their nerve endings in the pituitary in response to action potentials (spikes) that are generated in the cell bodi...

Modeling neuronal bursting: singularity theory meets neurophysiology∗

Exploiting the specific structure of neuron conductance-based models, the paper investigates the mathematical modeling of neuronal bursting. The proposed approach combines singularity theory and geometric singular perturbations to unfold the geometry of multiple time-scales attractors in the neighborhood of high-codimension singularities. We detect a three-time scale bursting attractor in the u...