Controlling Seizure-Like Events by Perturbing Ion Concentration Dynamics with Periodic Stimulation

Date

2013-09-16

Authors

Owen, Jeremy A.
Barreto, Ernest
Cressman, John R.

Journal Title

Journal ISSN

Volume Title

Publisher

Public Library of Science

Abstract

We investigate the effects of adding periodic stimulation to a generic, conductance-based neuron model that includes ion concentration dynamics of sodium and potassium. Under conditions of high extracellular potassium, the model exhibits repeating, spontaneous, seizure-like bursting events associated with slow modulation of the ion concentrations local to the neuron. We show that for a range of parameter values, depolarizing and hyperpolarizing periodic stimulation pulses (including frequencies lower than 4 Hz) can stop the spontaneous bursting by interacting with the ion concentration dynamics. Stimulation can also control the magnitude of evoked responses to modeled physiological inputs. We develop an understanding of the nonlinear dynamics of this system by a timescale separation procedure that identifies effective nullclines in the ion concentration parameter space. Our results suggest that the manipulation of ion concentration dynamics via external or endogenous stimulation may play an important role in neuronal excitability, seizure dynamics, and control.

Description

Keywords

Neurons, Action potential, Epilepsy, Tetanus, Membrane potential, Electrical stimulation, Potassium, Intracellular membranes

Citation

Owen JA, Barreto E, Cressman JR (2013) Controlling Seizure-Like Events by Perturbing Ion Concentration Dynamics with Periodic Stimulation. PLoS ONE 8(9): e73820. doi:10.1371/journal.pone.0073820