Nonlinear statistical data assimilation for HVC[Formula: see text] neurons in the avian song system.
With the goal of building a model of the HVC nucleus in the avian song system, we discuss in detail a model of HVC[Formula: see text] projection neurons comprised of a somatic compartment with fast Na[Formula: see text] and K[Formula: see text] currents and a dendritic compartment with slower Ca[Formula: see text] dynamics. We show this model qualitatively exhibits many observed electrophysiological behaviors. We then show in numerical procedures how one can design and analyze feasible laboratory experiments that allow the estimation of all of the many parameters and unmeasured dynamical variables, given observations of the somatic voltage [Formula: see text] alone. A key to this procedure is to initially estimate the slow dynamics associated with Ca, blocking the fast Na and K variations, and then with the Ca parameters fixed estimate the fast Na and K dynamics. This separation of time scales provides a numerically robust method for completing the full neuron model, and the efficacy of the method is tested by prediction when observations are complete. The simulation provides a framework for the slice preparation experiments and illustrates the use of data assimilation methods for the design of those experiments.
Department of Physics, University of California, 9500 Gilman Drive, La Jolla, CA 92903-0402, USA.
Nirag
N
Kadakia
BioCircuits Institute, University of California, 9500 Gilman Drive, La Jolla, CA 92903-0328, USA.
Eve
E
Armstrong
Department of Physics, University of California, 9500 Gilman Drive, La Jolla, CA 92903-0402, USA.
Daniel
D
Breen
Department of Physics, University of California, 9500 Gilman Drive, La Jolla, CA 92903-0402, USA.
Uriel
U
Morone
Department of Organismal Biology and Anatomy, University of Chicago, 1027 E. 57th Street, Chicago, IL 63607, USA.
Arij
A
Daou
Department of Organismal Biology and Anatomy, University of Chicago, 1027 E. 57th Street, Chicago, IL 63607, USA.
Daniel
D
Margoliash
Marine Physical Laboratory (Scripps Institution of Oceanography), Department of Physics, University of California, 9500 Gilman Drive, La Jolla, CA 92903, USA.
Henry D I
HDI
Abarbanel
D000818:Animals; D003712:Dendrites; D008959:Models, Neurological; D009474:Neurons; D020308:Songbirds
Data assimilation; Dynamical systems; Ion channel properties; Neuronal dynamics; Parameter estimation; Song system; Spiking neuron models
J Neurosci. 2015 Apr 8;35(14):5589-605
25855175
J Neurophysiol. 2009 Sep;102(3):1748-62
19515949
J Comput Neurosci. 2007 Dec;23(3):283-99
17440800
J Neurophysiol. 1998 Aug;80(2):914-23
9705478
Biol Cybern. 2012 Mar;106(3):155-67
22526358
Biol Cybern. 2011 Oct;105(3-4):217-37
21986979
PLoS One. 2013 Dec 03;8(12):e81177
24312533
Nature. 2002 Sep 5;419(6902):65-70
12214232
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jun;89(6):062714
25019821
Nature. 2010 Nov 18;468(7322):394-9
20972420
Annu Rev Neurosci. 1985;8:125-70
3885827
J Neurophysiol. 2013 Sep;110(5):1227-45
23719205
J Neurophysiol. 2005 Dec;94(6):3730-42
16093338
J Comput Neurosci. 1999 Sep-Oct;7(2):149-71
10515252
Ann N Y Acad Sci. 2004 Jun;1016:153-70
15313774
Biol Cybern. 2014 Aug;108(4):495-516
24962080
J Neurosci. 2015 Jan 21;35(3):1217-27
25609636
J Neurosci. 2005 Feb 23;25(8):1952-64
15728835
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Nov;92(5):052901
26651756