A possible four-mode operation of neurons and chains of fibroblasts; transmission mechanism for an early warning alert system
Lieberstein, H. Melvin
Lieberstein, H. Melvin
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1971-10
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H.Melvin Lieberstein, A possible four-mode operation of neurons and chains of fibroblasts; transmission mechanism for an early warning alert system, Mathematical Biosciences, Volume 12, Issues 1–2, 1971, Pages 7-22, ISSN 0025-5564, https://doi.org/10.1016/0025-5564(71)90069-1.
Abstract
It is seen that axons of nerve and muscle cells and possibly interconnected chains of inactive cells can carry very low-amplitude, high-frequency signals at high speed, thus providing a transmission mechanism for a hypothetical early warning alert system without resorting to wireless explanations, which appear to be suggested in some current responsible literature. The early warning alert mode would be one of four modes that nerve and muscle axons are known to operate in, depending on the amplitude and frequency range of loading. The difference in transmission mechanisms in each mode is analyzed here as characterized principally by differences in the form of line inductance. Slow subthreshold processes seem to show virtually no inductance properties and they appear to spread by a diffusion mechanism; action potentials provide a line inductance (balanced by other line parameters) of the form L/(πa2) and give a propagation rate proportional to the square root of the radius, whereas our hypothetical very low- amplitude and high-frequency mode provides a pure inductance of the form L/(2πa, giving an extremely fast rate of propagation independent of the radius. Several simple physical analogues are found to occur where different levels of loadings give very different behavior. The properties of a rod of heat-conducting combustible materials are discussed in this connection. © 1971.
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Elsevier
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Mathematical Biosciences
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00255564