2003/12/23 by Marcel Ausloos, M. Ausloos, K. Ivanova +2
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · Physics and Astronomy · #Action (physics) #Asymmetry #Channel (broadcasting) #Computer science #Differential equation #Diffusion #Electrochemical Analysis and Applications #Fokker–Planck equation #Ion channel regulation and function #Langevin equation #Mathematics #Mechanics #Physics #Quantum mechanics #Statistical physics #Statistics #Stochastic process #Turbulence #cond-mat.soft #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1016/j.physa.2003.12.055
published as Physica A 336 (2004) 319-333 · submitted to physica A text : 12 pages + 8 figures
arxiv created 2003/12/23 · openalex publication_date 2004/02/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The process of ion transport through a locust potassium channel is described by means of the Fokker-Planck equation (FPE). The deterministic and stochastic components of the process of switching between various conducting states of the channel are expressed by two coefficients, D(1) and D(2), a drift and a diffusion coefficient, respectively. The FPE leads to a Langevin equation. This analysis reveals beside the well known deterministic aspects a turbulent, cascade type of action. The (noisy-like) switching between different conducting states prevents the channel from staying in one, closed or open state. The similarity between the hydrodynamic flow in the turbulent regime and hierarchical switching between conducting states of this biochannel is discussed. A non-trivial character of D(1) and D(2) coefficients is shown, which points to different processes governing the channel's action, asymetrically depending on the history of the previously conducting states. Moreover, the Fokker-Planck and Langevin equations provide information on whether and how the statistics of the channel action change over various time scales.