Stochastic transport processes in discrete biological systems

摘要: A. Stochastic Processes.- 1. Expectation Values, Moments, Variance, Correlations.- 2. Probabilities.- 2.1 Values and 3. Binomial, Poisson, Normal Distributions.- 4. Stationarity Ergodicity.- B. Analysis of Stationary Basic Concepts Noise Analysis.- 1.1 Spectral Density.- 1.2 Autocorrelation Function Wiener-Khintchine Relations.- Poisson Processes, Carson's Theorem.- Function, 2.2 Special Examples.- 2.3 Ions Crossing Membranes: Shot Noise.- The Master Equation Approach to Fluctuations.- 3.1 Markov 3.2 Phenomenological Equations.- 3.3 Linearized Equations Fundamental Solutions.- 3.4 Variances, Correlations, Spectra.- 3.5 Correlation Spectra Measurable Quantities.- 3.6 Direct Calculation Fluctuations from the Solutions Equation.- 3.7 Current Generated by Opening Closing Channels.- C. Transport Around Steady States.- Introductory Remarks on Characterization.- A simple Example: Channels with one Binding Site.- Concept in Discrete Systems.- Fluxes.- as a Observable.- Conservative Systems, Open 2.4 Interactions Neglected.- at Equilibrium.- Nyquist or Fluctuation-Dissipation Voltage Dependence Rate Constants.- Linear Response Complex Admittance.- Theory Equilibrium Nonequilibrium 4.1 Flux-Correlation Matrix.- 4.2 Density 4.3 More Rigorous Treatment Time 5. Membrane 5.1 5.2 Influence Barrier Structure 5.3 Carrier 6. Sophisticated Channel Models.- 6.1 Single-File Diffusion Through Narrow 6.2 Numerical Calculations 6.3 Noise: Coupling Between Open-Closed Kinetics 7. Invalidity Theorem for 7.1 Examples: Noise, Permanently 7.2 Different Behaviour Scalarand Vectorial Quantities Nonequilibrium.- 8. Limit High Applied Voltage.- 8.1 Neglected: 8.2 Reduction Consequence Ionic Model.- D. Nonstationary Transient Simple Identical, Independent Time-Dependent States General Moments.- One-Variable Birth-Death Processes With One Variable.- Value Variance.- Application: Two State Nonlinear Approximation Procedures.- Bilinear Bimolecular Reactions: Gramicidin Channel.- References.