Coexistence between silent and bursting states in a biophysical Hodgkin-Huxley-type of model

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Coexistence between silent and bursting states in a biophysical Hodgkin-Huxley-type of model. / Stankevich, Nataliya; Mosekilde, Erik.

In: Chaos, Vol. 27, No. 12, 123101, 01.12.2017.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{0899ee91cf224199bfa919922be93ba7,

title = "Coexistence between silent and bursting states in a biophysical Hodgkin-Huxley-type of model",

abstract = "Classification of the dynamical mechanisms that support bistability between bursting oscillations and silence has not yet been clarified in detail. The purpose of this paper is to demonstrate that the coexistence of a stable equilibrium point with a state of continuous bursting can occur in a slightly modified, biophysical model that describe the dynamics of pancreatic beta-cells. To realize this form of coexistence, we have introduced an additional voltage-dependent potassium current that is activated in the region around the original, unstable equilibrium point. It is interesting to note that this modification also leads the model to display a blue-sky catastrophe in the transition region between chaotic and bursting states.",

author = "Nataliya Stankevich and Erik Mosekilde",

note = "Publisher Copyright: {\textcopyright} 2017 Author(s).",

year = "2017",

month = dec,

day = "1",

doi = "10.1063/1.4986401",

language = "English",

volume = "27",

journal = "Chaos",

issn = "1054-1500",

publisher = "American Institute of Physics",

number = "12",

}

RIS

TY - JOUR

T1 - Coexistence between silent and bursting states in a biophysical Hodgkin-Huxley-type of model

AU - Stankevich, Nataliya

AU - Mosekilde, Erik

PY - 2017/12/1

Y1 - 2017/12/1

N2 - Classification of the dynamical mechanisms that support bistability between bursting oscillations and silence has not yet been clarified in detail. The purpose of this paper is to demonstrate that the coexistence of a stable equilibrium point with a state of continuous bursting can occur in a slightly modified, biophysical model that describe the dynamics of pancreatic beta-cells. To realize this form of coexistence, we have introduced an additional voltage-dependent potassium current that is activated in the region around the original, unstable equilibrium point. It is interesting to note that this modification also leads the model to display a blue-sky catastrophe in the transition region between chaotic and bursting states.

AB - Classification of the dynamical mechanisms that support bistability between bursting oscillations and silence has not yet been clarified in detail. The purpose of this paper is to demonstrate that the coexistence of a stable equilibrium point with a state of continuous bursting can occur in a slightly modified, biophysical model that describe the dynamics of pancreatic beta-cells. To realize this form of coexistence, we have introduced an additional voltage-dependent potassium current that is activated in the region around the original, unstable equilibrium point. It is interesting to note that this modification also leads the model to display a blue-sky catastrophe in the transition region between chaotic and bursting states.

UR - http://www.scopus.com/inward/record.url?scp=85037031658&partnerID=8YFLogxK

U2 - 10.1063/1.4986401

DO - 10.1063/1.4986401

M3 - Article

C2 - 29289049

AN - SCOPUS:85037031658

VL - 27

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 12

M1 - 123101

ER -

ID: 86486626