Diffusion along intercellular spaces: An analysis of a transient situation |
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Authors: | F Andrietti R Pezzotta |
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Institution: | (1) Sez. Elettrofisiologia, Istituto di Fisiologia Generale e di Chimica Biologica dell'Universitá degli Studi di Milano, Via Mangiagalli n. 32, 20133 Milano, Italy |
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Abstract: | We present an analysis of the diffusion of a tracer in a model of a cell-intercellular space system. The problem reduces to
the resolution of a system of a linear partial differential equation and of a linear integral differential equation. The mathematical
results have been obtained in terms of their Laplace transforms, which have been inverted by a numerical procedure for some
parameter values. The importance of considering gradients of concentrations in intercellular spaces instead of lumping them
with the external mediums has been discussed together with the possibility of extending Ussing's relation to transient cases,
in order to detect active transports. Some possible implementations of the model to take into account more general situations
have been considered. |
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Keywords: | |
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