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Diffusion in branching regions

Published online by Cambridge University Press:  24 October 2008

J. C. Jaeger
Affiliation:
Australian National University, Canberra, Australia

Abstract

The problem of diffusion from an instantaneous point source in a thin plane sheet which is intersected by one or more other thin plane sheets of the same material is considered. This problem arises in the study of the diffusion of packets of transmitter substance in synaptic clefts, and some numerical results for the amphibian neuro-muscular junction are presented. A similar discussion applies to branching rods and to cases where there is loss of diffusing substance at the surfaces of the sheets.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1960

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References

REFERENCES

(1)Carslaw, H. S. and Jaeger, J. C.Conduction of heat in solids, 2nd ed. (Oxford, 1959).Google Scholar
(2)Castillo, J. Del and Katz, B. J.Physiol. 124 (1954), 553.CrossRefGoogle Scholar
(3)Castillo, J. Del and Katz, B. J.Physiol. 125 (1954), 546.CrossRefGoogle Scholar
(4)Castillo, J. Del and Katz, B.Microphysiologie comparée des éléments excitables. (Colloques Internationaux du Centre National de la recherche scientifique, no. 67, 1957), p. 245.Google Scholar
(5)Couteaux, R. and Taxi, J.Arch. Anat. micr. morph. exp. 41 (1952), 352.Google Scholar
(6)Crank, J.The mathematics of diffusion (Oxford, 1956).Google Scholar
(7)Eccles, J. C. and Jaeger, J. C.Proc. Roy. Soc. B, 148 (1957), 38.Google Scholar
(8)Fatt, P. and Katz, B. J.Physiol. 117 (1952), 109.CrossRefGoogle Scholar
(9)Fatt, P. and Katz, B.Acta physiol. scand. 29 (1953), 117.CrossRefGoogle Scholar
(10)Robertson, J. D.J. biophys. biochem. Cytol. 2 (1956), 381.CrossRefGoogle Scholar
(11)Watson, G. N.Theory of Bessel Functions, 2nd ed. (Cambridge, 1944).Google Scholar