The Response of Membrane Systems when Exposed to Oscillating Concentration Waves

  • Paul Doran
  • Russell Paterson


In network thermodynamics, membranes are described in terms of generalized resistors and capacitors[1]. These reflect the ability of a membrane both to dissipate power and to store chemical energy internally in each local volume during transport processes. For quantitative modelling, the membrane is subdivided conceptually and mathematically into homogeneous ‘lumps’ or slices, each characterized by its own resistance and capacitance. The accuracy of quantitative modelling of diffusion processes depends upon the degree of reticulation of the lumped model; since the model approaches evermore closely to a true continuum of states as the number of lumps (n) is increased. The error is approximately proportional to n−2 [2].


Wave Form Concentration Wave Bond Graph Triangular Wave Output Amplitude 
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Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • Paul Doran
    • 1
  • Russell Paterson
    • 1
  1. 1.Department of ChemistryUniversity of GlasgowGlasgowScotland

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