Skip to main content Accessibility help

Diffusion in branching regions

  • J. C. Jaeger (a1)


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.



Hide All
(1)Carslaw, H. S. and Jaeger, J. C.Conduction of heat in solids, 2nd ed. (Oxford, 1959).
(2)Castillo, J. Del and Katz, B. J.Physiol. 124 (1954), 553.
(3)Castillo, J. Del and Katz, B. J.Physiol. 125 (1954), 546.
(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.
(5)Couteaux, R. and Taxi, J.Arch. Anat. micr. morph. exp. 41 (1952), 352.
(6)Crank, J.The mathematics of diffusion (Oxford, 1956).
(7)Eccles, J. C. and Jaeger, J. C.Proc. Roy. Soc. B, 148 (1957), 38.
(8)Fatt, P. and Katz, B. J.Physiol. 117 (1952), 109.
(9)Fatt, P. and Katz, B.Acta physiol. scand. 29 (1953), 117.
(10)Robertson, J. D.J. biophys. biochem. Cytol. 2 (1956), 381.
(11)Watson, G. N.Theory of Bessel Functions, 2nd ed. (Cambridge, 1944).


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed