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Electrostatic forces in muscle and cylindrical gel systems

B M Millman, B G Nickel

    Biophysical Journal
    |October 1, 1980
    PubMed
    Summary

    Electrostatic forces in biological gels, like tobacco mosaic virus (TMV) and muscle, were measured using osmotic stress. Poisson-Boltzmann theory accurately predicts these repulsive pressures, aiding understanding of biological systems.

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    Area of Science:

    • Biophysics
    • Materials Science
    • Structural Biology

    Background:

    • Biological gels, such as tobacco mosaic virus (TMV) and muscle filaments, exhibit complex structural organization influenced by inter-particle forces.
    • Understanding the repulsive forces within these lattices is crucial for comprehending their mechanical properties and biological functions.

    Purpose of the Study:

    • To measure repulsive pressures as a function of lattice spacing in TMV gels and vertebrate striated muscle.
    • To compare experimental data with theoretical predictions derived from the Poisson-Boltzmann equation.

    Main Methods:

    • Applied external pressures up to 10 atm to biological lattices using an osmotic stress method.
    • Obtained numerical solutions to the Poisson-Boltzmann equation for hexagonal lattices.
    • Compared theoretical curves with experimental data from TMV gels and muscle lattices.

    Main Results:

    • Poisson-Boltzmann theory, with ionic strength-derived 'k' values, provided a good fit to TMV gel data.
    • An approximate fit to muscle lattice data was achieved by assuming a charge radius of approximately 16 nm for thick filaments.
    • Variations in ionic strength, sarcomere length, and muscle state showed qualitative agreement with theoretical predictions.

    Conclusions:

    • Poisson-Boltzmann theory serves as a valuable first approximation for understanding long-range electrostatic forces in biological gel systems.
    • Further refinement is needed to fully account for all forces in the complex muscle lattice system.

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