Minimal model of interictal and ictal discharges “Epileptor-2” (Chizhov et al 2018)

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Accession:263074
"Seizures occur in a recurrent manner with intermittent states of interictal and ictal discharges (IIDs and IDs). The transitions to and from IDs are determined by a set of processes, including synaptic interaction and ionic dynamics. Although mathematical models of separate types of epileptic discharges have been developed, modeling the transitions between states remains a challenge. A simple generic mathematical model of seizure dynamics (Epileptor) has recently been proposed by Jirsa et al. (2014); however, it is formulated in terms of abstract variables. In this paper, a minimal population-type model of IIDs and IDs is proposed that is as simple to use as the Epileptor, but the suggested model attributes physical meaning to the variables. The model is expressed in ordinary differential equations for extracellular potassium and intracellular sodium concentrations, membrane potential, and short-term synaptic depression variables. A quadratic integrate-and-fire model driven by the population input current is used to reproduce spike trains in a representative neuron. ..."
Reference:
1 . Chizhov AV, Zefirov AV, Amakhin DV, Smirnova EY, Zaitsev AV (2018) Minimal model of interictal and ictal discharges "Epileptor-2". PLoS Comput Biol 14:e1006186 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Extracellular; Realistic Network; Synapse;
Brain Region(s)/Organism:
Cell Type(s): Abstract integrate-and-fire leaky neuron;
Channel(s): I Potassium; I Sodium; Na/K pump;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: Python; Pascal/Delphi; Mathematica; Javascript;
Model Concept(s): Synaptic Plasticity; Depression; Bifurcation; Oscillations; Epilepsy; Activity Patterns; Short-term Synaptic Plasticity;
Implementer(s): Chizhov, Anton [anton.chizhov at mail.ioffe.ru];
Search NeuronDB for information about:  I Sodium; I Potassium; Na/K pump;
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      Value = 5.000000000000000000
    end
    object DDSpinEdit15: TDDSpinEdit
      Left = 270
      Top = 49
      Width = 81
      Height = 28
      StrWidth = 2
      StrDecimals = 2
      Increment = 0.100000000000000000
      TabOrder = 2
      Value = 0.500000000000000000
      OnDblClick = DDSpinEdit15DblClick
    end
    object DDSpinEdit25: TDDSpinEdit
      Left = 90
      Top = 79
      Width = 81
      Height = 28
      StrWidth = 2
      StrDecimals = 0
      Increment = 5.000000000000000000
      TabOrder = 4
      Value = 25.000000000000000000
      OnDblClick = DDSpinEdit25DblClick
    end
    object DDSpinEdit20: TDDSpinEdit
      Left = 270
      Top = 79
      Width = 81
      Height = 28
      StrWidth = 2
      StrDecimals = 0
      Increment = 100.000000000000000000
      TabOrder = 3
      Value = 1000.000000000000000000
    end
  end
  object Chart5: TChart
    Left = 0
    Top = 900
    Width = 641
    Height = 243
    BackWall.Brush.Color = clWhite
    BackWall.Brush.Style = bsClear
    Title.Text.Strings = (
      'TChart')
    Title.Visible = False
    BottomAxis.Title.Caption = 'ms'
    LeftAxis.Title.Caption = 'mV'
    Legend.Alignment = laTop
    Legend.ColorWidth = 100
    Legend.LegendStyle = lsSeries
    Legend.ShadowSize = 0
    View3D = False
    Color = clMoneyGreen
    TabOrder = 16
    object Button8: TButton
      Left = 490
      Top = 290
      Width = 141
      Height = 21
      Caption = 'Limits like these'
      TabOrder = 0
      OnClick = Button6Click
    end
    object Button14: TButton
      Left = 10
      Top = 221
      Width = 51
      Height = 22
      Caption = 'BMP'
      TabOrder = 1
      OnClick = Button14Click
    end
    object LineSeries5: TLineSeries
      Marks.ArrowLength = 8
      Marks.Visible = False
      SeriesColor = clRed
      Title = 'V'
      LinePen.Width = 3
      Pointer.InflateMargins = True
      Pointer.Style = psRectangle
      Pointer.Visible = False
      XValues.DateTime = False
      XValues.Name = 'X'
      XValues.Multiplier = 1.000000000000000000
      XValues.Order = loAscending
      YValues.DateTime = False
      YValues.Name = 'Y'
      YValues.Multiplier = 1.000000000000000000
      YValues.Order = loNone
    end
  end
  object Button9: TButton
    Left = 930
    Top = 0
    Width = 121
    Height = 21
    Caption = 'Stimulus'
    Font.Charset = DEFAULT_CHARSET
    Font.Color = clWindowText
    Font.Height = -18
    Font.Name = 'Arial'
    Font.Style = []
    ParentFont = False
    TabOrder = 17
    OnClick = Button9Click
  end
  object GroupBox8: TGroupBox
    Left = 690
    Top = 530
    Width = 341
    Height = 61
    Caption = 'V-equation'
    TabOrder = 18
    object Label30: TLabel
      Left = 175
      Top = 21
      Width = 45
      Height = 18
      Caption = 'gL, nS'
    end
    object Label31: TLabel
      Left = 10
      Top = 21
      Width = 39
      Height = 18
      Caption = 'C, pF'
    end
    object DDSpinEdit30: TDDSpinEdit
      Left = 250
      Top = 19
      Width = 81
      Height = 28
      StrWidth = 2
      StrDecimals = 0
      Increment = 1.000000000000000000
      TabOrder = 0
      Value = 1.000000000000000000
    end
    object DDSpinEdit31: TDDSpinEdit
      Left = 70
      Top = 19
      Width = 81
      Height = 28
      StrWidth = 2
      StrDecimals = 0
      Increment = 1.000000000000000000
      TabOrder = 1
      Value = 10.000000000000000000
    end
  end
  object GroupBox7: TGroupBox
    Left = 690
    Top = 601
    Width = 161
    Height = 70
    Caption = 'Synaptic kinetics m'
    TabOrder = 19
    object Label26: TLabel
      Left = 16
      Top = 31
      Width = 43
      Height = 18
      Caption = 'tau_m'
    end
    object DDSpinEdit26: TDDSpinEdit
      Left = 70
      Top = 29
      Width = 81
      Height = 28
      StrWidth = 2
      StrDecimals = 0
      Increment = 5.000000000000000000
      TabOrder = 0
      OnDblClick = DDSpinEdit26DblClick
    end
  end
  object GroupBox3: TGroupBox
    Left = 690
    Top = 691
    Width = 341
    Height = 62
    Caption = 'f-I curve '
    TabOrder = 20
    object Label23: TLabel
      Left = 16
      Top = 21
      Width = 33
      Height = 18
      Caption = 'Gain'
    end
    object Label24: TLabel
      Left = 186
      Top = 21
      Width = 45
      Height = 18
      Caption = 'u0, pA'
    end
    object DDSpinEdit23: TDDSpinEdit
      Left = 70
      Top = 19
      Width = 81
      Height = 28
      StrWidth = 2
      StrDecimals = 3
      Increment = 10.000000000000000000
      TabOrder = 0
      Value = 20.000000000000000000
    end
    object DDSpinEdit24: TDDSpinEdit
      Left = 250
      Top = 19
      Width = 81
      Height = 28
      StrWidth = 2
      StrDecimals = 0
      Increment = 5.000000000000000000
      TabOrder = 1
      Value = 25.000000000000000000
    end
  end
  object GroupBox9: TGroupBox
    Left = 860
    Top = 600
    Width = 171
    Height = 91
    Caption = 'Global'
    TabOrder = 21
    object CheckBox1: TCheckBox
      Left = 10
      Top = 20
      Width = 151
      Height = 21
      Caption = 'Piecewise-linear'
      TabOrder = 0
    end
    object CheckBox2: TCheckBox
      Left = 10
      Top = 40
      Width = 121
      Height = 21
      Caption = '"only xD"'
      TabOrder = 1
      OnClick = CheckBox2Click
    end
    object CheckBox3: TCheckBox
      Left = 10
      Top = 60
      Width = 151
      Height = 21
      Caption = 'with V-equation'
      Checked = True
      State = cbChecked
      TabOrder = 2
      OnClick = CheckBox3Click
    end
  end
end

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