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Theorie des catastrophes et fonction physiologique membranaire

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Abstract

This comunication is based on a preliminary work which emphasized a topological model of biomembranes from Thom's Catastrophe Theory. In this model called swallowtail bifurcation set, the structural state of a biomembrane was within the control of two structural attractors. Then, the physiological act of this biomembrane resulted in a sudden transfer of weight from the hydrophilic attractor to the hydrophobic attractor.

In this consecutive work, the physiological act appears to be one of the four stages which permit to describe the larger notion of cyclic membrane function. Two of these stages unfold in the structural axis of the swallowtail model. They prepare the two others (physiological act and refractory stages) which expand in the functional direction.

This conceiving of cyclic membrane function is applied to physiological examples such as the action potential and the endocytosis. Then, changes in this function are discussed on the basis of pathological data.

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References

  • Christon, R., V. Even, D. Daveloose, C. Leger, et J. Viret (1989). Modification of fluidity and lipid protein relationships in pig intestinal brush-border membrane by dietary essential fatty acid deficiency. Biochim. Biophys. Acta 980: 77–84.

    Article  Google Scholar 

  • Daveloose, D., J. Viret, D. Molle, et F. Leterrier (1980). Mise en évidence, par marquage de spin, d'une modification structurale de la membrane érythrocytaire du rat génétiquement hypertendu. C. R. Acad. Sc. Paris 290 D: 85–88.

    Google Scholar 

  • Hille, B. (1984). Ionic channels of excitable membranes, p. 272–302, Sinauer associates inc. Sunderland.

    Google Scholar 

  • Houslay, M.D. et K.K. Stanley (1982). Dynamics of biological membranes: influence of synthesis, structure and function. New York, Wiley.

    Google Scholar 

  • Rendu, F. et J. Viret (1989). Etude membranaire structurale et fonctionnelle des plaquettes pathologiques. Biomembranes et Nutrition, colloque INSERM 195: 401–410.

    Google Scholar 

  • Rock, E., M. Sidimammar, M.A. Thomas, J. Viret et X. Vignon (1990). Halothane induced functional and structural modifications in sarcoplasmic reticulum membranes from pig skeletal muscle. Biochimie (à paraître).

  • Thom, R. (1968). Topologie et signification. L'âge Sci. 4: 219–242.

    Google Scholar 

  • Viret, J. et D. Daveloose (1989). Biophysical interpretation of membrane fludity by Catastrophe Theory. J.Theor.Biol. 140: 51–82.

    Article  Google Scholar 

  • Zeeman, E.C (1976). Catastrophe Theory. Scientific American 234: 65–82.

    Article  Google Scholar 

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Authors and Affiliations

  1. Unite de Biophysique du CRSSA, BP 87, 38702, LA TRONCHE CEDEX, France

    Jacques Viret

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  1. Jacques Viret
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Viret, J. Theorie des catastrophes et fonction physiologique membranaire. Acta Biotheor 40, 245–251 (1992). https://doi.org/10.1007/BF00168152

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  • DOI: https://doi.org/10.1007/BF00168152

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