Abstract
An approximate analytical solution to the Poisson-Boltzmann equation for a cylindrical particle was used to calculate the relationship between the charge on the filaments and the average electrostatic potential. Both thick and then filaments were considered in the muscle lattice with a filament charge ratio of 4 to 1. Comparing this with a similar relationship obtained using simple Donnan theory showed a discrepancy at high charge where the Poisson-Boltzmann equation leads to saturation of the average potential. However, using two separate experiments from the literature, we have shown that at pH 7.0 muscle must not be close to saturation and thus is in a region of the curve where the two approaches agree.
Full text
PDF
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Collins E. W., Jr, Edwards C. Role of Donnan equilibrium in the resting potentials in glycerol-extracted muscle. Am J Physiol. 1971 Oct;221(4):1130–1133. doi: 10.1152/ajplegacy.1971.221.4.1130. [DOI] [PubMed] [Google Scholar]
- Millman B. M., Nickel B. G. Electrostatic forces in muscle and cylindrical gel systems. Biophys J. 1980 Oct;32(1):49–63. doi: 10.1016/S0006-3495(80)84915-0. [DOI] [PMC free article] [PubMed] [Google Scholar]
- OVERBEEK J. T. The Donnan equilibrium. Prog Biophys Biophys Chem. 1956;6:57–84. [PubMed] [Google Scholar]
- Pemrick S. M., Edwards C. Differences in the charge distribution of glycerol-extracted muscle fibers in rigor, relaxation, and contraction. J Gen Physiol. 1974 Nov;64(5):551–567. doi: 10.1085/jgp.64.5.551. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Rome E. X-ray diffraction studies of the filament lattice of striated muscle in various bathing media. J Mol Biol. 1968 Oct 28;37(2):331–344. doi: 10.1016/0022-2836(68)90272-6. [DOI] [PubMed] [Google Scholar]
- Stephenson D. G., Wendt I. R., Forrest Q. G. Non-uniform ion distributions and electrical potentials in sarcoplasmic regions of skeletal muscle fibres. Nature. 1981 Feb 19;289(5799):690–692. doi: 10.1038/289690a0. [DOI] [PubMed] [Google Scholar]