Using fractals to understand the opening and closing of ion channels

The Fractal Geometry of Nature

1983 • 22,064 citations

A quantitative description of membrane current and its application to conduction and excitation in nerve

1952 • 21,965 citations

Conduction of Heat in Solids

1959 • 19,468 citations

The Fractal Geometry of Nature.

1984 • 15,007 citations

Ionic channels of excitable membranes

1985 • 7,199 citations

Impulses and Physiological States in Theoretical Models of Nerve Membrane

1961 • 5,825 citations

Fractals Everywhere

1988 • 3,682 citations

Chaos: Making a new science

1989 • 3,664 citations

Chaos: The Making of a New Science

1988 • 2,722 citations

Single-Channel Recording

1995 • 2,565 citations

Dynamics of ligand binding to myoglobin

1975 • 1,616 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>noise and other slow, nonexponential kinetics in condensed matter

1988 • 1,327 citations

Dynamics of Proteins and Nucleic Acids

1988 • 1,274 citations

Dynamics of Proteins and Nucleic Acids

1987 • 1,222 citations

NONLINEAR DYNAMICS AND CHAOS

1987 • 1,178 citations

Structure and Function of Voltage-Sensitive Ion Channels

1988 • 1,171 citations

From Clocks to Chaos

1988 • 1,167 citations

Conduction of Heat in Solids

2016 • 883 citations

Ionic channels of excitable membranes

1985 • 795 citations

Fractals in Physics

1990 • 583 citations

Noise in Semiconductors: Spectrum of a Two-Parameter Random Signal

1954 • 557 citations

The Internal Dynamics of Globular Protein

1981 • 505 citations

From clocks to chaos

1988 • 482 citations

CO binding to heme proteins: A model for barrier height distributions and slow conformational changes

1983 • 345 citations

Fractal analysis of a voltage-dependent potassium channel from cultured mouse hippocampal neurons

1987 • 207 citations

Diffusion models of ion-channel gating and the origin of power-law distributions from single-channel recording.

1988 • 197 citations

Statistical Time Events in Enzymes: A Physical Assessmen

1975 • 194 citations

Quantitative description of three modes of activity of fast chloride channels from rat skeletal muscle.

1986 • 187 citations

Ion channel kinetics: a model based on fractal scaling rather than multistate Markov processes

1987 • 177 citations

The Fluctuating enzyme

1986 • 147 citations

Fractal model of ion-channel kinetics

1987 • 138 citations

A model of ion channel kinetics using deterministic chaotic rather than stochastic processes

1991 • 104 citations

Solute inaccessible aqueous volume changes during opening of the potassium channel of the squid giant axon

1990 • 98 citations

Internal motions in proteins and gating kinetics of ionic channels

1988 • 93 citations

Testing fractal and Markov models of ion channel kinetics

1989 • 83 citations

The surface compartment model: a theory of ion transport focused on ionic processes in the electrical double layers at membrane protein surfaces

1987 • 61 citations

Indications of the existence of ferroelectric units in excitable-membrane channels

1987 • 51 citations

Analysis of fractal ion channel gating kinetics: kinetic rates, energy levels, and activation energies

1989 • 47 citations

Continuum model of voltage-dependent gating. Macroscopic conductance, gating current, and single-channel behavior

1989 • 43 citations

Relaxations, fluctuations and ion transfer across membranes

1985 • 37 citations

Closed-time distribution of ionic channels. Analytical solution to a one-dimensional defect-diffusion model

1989 • 35 citations

Rate-amplitude correlation from single-channel records. A hidden structure in ion channel gating kinetics?

1988 • 34 citations

Phase transitions and ion currents in a model ferroelectric channel unit

1987 • 32 citations

Potassium channels in human and avian fibroblasts

1988 • 29 citations

Fractal and Markov behavior in ion channel kinetics

1988 • 26 citations

Interpretation of 1/F fluctuations in ion conducting membranes

1985 • 26 citations

A model of the gating of ion channels

1988 • 21 citations

The fractal random telegraph signal: Signal analysis and applications

1988 • 18 citations

Closed channel-open channel equilibrium of the sodium channel of nerve

1986 • 9 citations

Introduction to the Properties and Analysis of Fractal Objects, Processes, and Data

1989 • 8 citations

The effects of n-pentane on voltage-clamped squid nerve sodium currents

1986 • 5 citations