Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
1
pubmed:dateCreated
2009-2-13
pubmed:abstractText
The large number of variables involved in many biophysical models can conceal potentially simple dynamical mechanisms governing the properties of its solutions and the transitions between them as parameters are varied. To address this issue, we extend a novel model reduction method, based on "scales of dominance," to multi-compartment models. We use this method to systematically reduce the dimension of a two-compartment conductance-based model of a crustacean pyloric dilator (PD) neuron that exhibits distinct modes of oscillation--tonic spiking, intermediate bursting and strong bursting. We divide trajectories into intervals dominated by a smaller number of variables, resulting in a locally reduced hybrid model whose dimension varies between two and six in different temporal regimes. The reduced model exhibits the same modes of oscillation as the 16 dimensional model over a comparable parameter range, and requires fewer ad hoc simplifications than a more traditional reduction to a single, globally valid model. The hybrid model highlights low-dimensional organizing structure in the dynamics of the PD neuron, and the dependence of its oscillations on parameters such as the maximal conductances of calcium currents. Our technique could be used to build hybrid low-dimensional models from any large multi-compartment conductance-based model in order to analyze the interactions between different modes of activity.
pubmed:grant
pubmed:commentsCorrections
http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-10935921, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-11276531, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-12015615, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-12215724, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-12904487, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-1391118, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-15046881, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-15218350, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-1549611, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-15728775, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-7153798, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-7937997, http://linkedlifedata.com/resource/pubmed/commentcorrection/18594958-8872701
pubmed:language
eng
pubmed:journal
pubmed:citationSubset
IM
pubmed:chemical
pubmed:status
MEDLINE
pubmed:month
Feb
pubmed:issn
1573-6873
pubmed:author
pubmed:issnType
Electronic
pubmed:volume
26
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
75-90
pubmed:dateRevised
2010-12-3
pubmed:meshHeading
pubmed:year
2009
pubmed:articleTitle
Dominant ionic mechanisms explored in spiking and bursting using local low-dimensional reductions of a biophysically realistic model neuron.
pubmed:affiliation
Department of Mathematics and Statistics, Georgia State University, 30 Pryor St, Atlanta, GA 30303, USA. rclewley@gsu.edu
pubmed:publicationType
Journal Article, Research Support, U.S. Gov't, Non-P.H.S., Research Support, N.I.H., Extramural