The transport properties of the cell membrane ion channels in electric fields: Bethe lattice treatment

Erdem R., Ekiz C.

JOURNAL OF STATISTICAL PHYSICS, cilt.129, sa.3, ss.469-481, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 129 Sayı: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s10955-007-9370-5
  • Dergi Adı: JOURNAL OF STATISTICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.469-481
  • Anahtar Kelimeler: Bethe lattice, trans-membrane conductance, potassium and sodium ion channels, BLUME-CAPEL MODEL, 2-STATE MODEL, ISING-MODEL, VOLTAGE, POTASSIUM, DYNAMICS, KINETICS, DENSITY, DEFINE
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

The interactive two-state model of cell membrane ion channels in an electric field is formulated on the Bethe lattice by means of the exact recursion relations. The probability of channel opening or maximum fractions of open potassium and sodium channels are obtained by solving a non-linear algebraic equation. Using known parameters for the conventional mean-field theory the model gives a good agreement with the experiment both at low and high trans-membrane potential values. For intermediate voltages, the numerical results imply that collective effects are introduced by trans-membrane voltage.