Metastability and plasticity in some conceptual models of neurons

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3 Scopus citations


For a new class of neuron models we demonstrate here that typical membrane action potentials and spike-bursts are only transient states but appear to be asymptotically stable; and yet such metastable states are plastic being able to dynamically change from one action potential to another with different pulse frequencies and from one spike-burst to another with different spike-per-burst numbers. The pulse and spike-burst frequencies change with individual ions' pump currents while their corresponding metastable-plastic states maintain the same transmembrane voltage and current profiles in range. It is also demonstrated that the plasticity requires two one-way ion pumps operating in opposite transmembrane directions to materialize, and if only one ion pump is left to operate, the plastic states will be lost to a rigid asymptotically stable state either as a resting potential, or a limit cycle with a fixed pulse frequency, or a spike-burst with a fixed spike-per-burst number.

Original languageEnglish (US)
Pages (from-to)31-47
Number of pages17
JournalJournal of Integrative Neuroscience
Issue number1
StatePublished - Mar 2010


  • Burst frequency
  • Circuit model of neurons
  • Diffusive current
  • IV-curves
  • Ion pump current
  • Metastable action potential
  • Metastable spike burst
  • Ohmic current
  • Pulse frequency
  • Refractory period
  • Resting potential
  • Spike frequency
  • Spike-per-burst number

ASJC Scopus subject areas

  • Neuroscience(all)


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