Multistability in Neurodynamics: Overview
Multistability in neurodynamics is the coexistence of two or more observable regimes of activity, i.e., attractors, in the phase space of a neuronal system. In the absence of noise or perturbation, the neuronal system permanently exhibits one of the regimes. Multistability suggests that by an appropriate choice of perturbation or by resetting the initial state of the system, one could induce a switch from one regime into another.
Multistable neuronal system can exhibit two or more regimes of activity, depending on its initial state. Both isolated neurons and neuronal networks can exhibit coexistence of several activity regimes. The coexistence of silence, subthreshold oscillations, tonic spiking, and bursting regimes with each other has been observed in a number of theoretical and experimental studies. A multistable neuronal system can show long-lasting...
This work was supported by National Science Foundation grant PHY-0750456.
- Barnett WH, O’Brien G, Cymbalyuk GS (2013) Bistability of silence and seizure-like bursting. J Neurosci Methods 220(2):179–189Google Scholar
- Fernandez FR, Engbers JD and Turner RW (2007) Firing dynamics of cerebellar purkinje cells. J Neurophysiol 98:278–294. doi:10.1152/jn.00306.2007Google Scholar
- Fröhlich F, Bazhenov M (2006) Coexistence of tonic firing and bursting in cortical neurons. Phys Rev E 74:031922Google Scholar
- Izhikevich EM (2010) Dynamical systems in neuroscience: the geometry of excitability and bursting. The MIT Press, Cambridge, MA, London, EnglandGoogle Scholar
- Kuznetsov YA (2004) Elements of applied bifurcation theory. Springer, New YorkGoogle Scholar
- Loewenstein Y, Mahon S, Chadderton P, Kitamura K, Sompolinsky H, Yarom Y, Hðusser M (2005) Bistability of cerebellar Purkinje cells modulated by sensory stimulation. Nat Neurosci 8:202–11.Google Scholar
- Malashchenko T, Shilnikov A, Cymbalyuk G (2011b) Bistability of bursting and silence regimes in a model of a leech heart interneuron. Phys Rev E 84:041910Google Scholar
- Marin BM, Barnett WH, Doloc-Mihu A, Calabrese RL, Cymbalyuk GS (2013) High prevalence of multistability of rest states and bursting in a database of a model neuron. PLOS Computational Biology 9(3):e1002930. doi:10.1371/journal.pcbi.1002930Google Scholar
- Terman DH, Ermentrout GB (2010) Mathematical foundations of neuroscience. Springer, New York, Dordrecht, Heidelberg, LondonGoogle Scholar