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Further properties of the two-membrane model

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Abstract

The properties of nonlinear equations describing the solute and solvent transport across a simplified Patlak-Goldstein-Hoffman model (two membranes in series without unstirred layers) are investigated both analytically and numerically. The analysis shows that the principal coefficients measured in transport experiments in the presence of active transport are dependent on the experimental conditions. These ‘apparent’ system parameters are extensions of the corresponding parameters determined both in passive systems and in the linear Kedem-Katchalsky theory. Moreover, they are related to the local phenomenological coefficients of the single membranes of the array. Several relationships between measurable quantities and the local system parameters are indicated, allowing the planning of experiments aimed at the measurement of the latter. Data in the literature have been used to check the proposed volume flow equation.

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Authors and Affiliations

  1. Dipartmento di Fisiologia generale e di Chimica biologica, Via Celoria 26, 20133, Milano, Italy

    G. Monticelli & F. Celentano

  2. Dipartmento di Biologia, Via Celoria 26, 20133, Milano, Italy

    G. Monticelli & F. Celentano

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  1. G. Monticelli
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  2. F. Celentano
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Monticelli, G., Celentano, F. Further properties of the two-membrane model. Bltn Mathcal Biology 45, 1073–1096 (1983). https://doi.org/10.1007/BF02458831

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  • DOI: https://doi.org/10.1007/BF02458831

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