Geometrical Modelling of the Fibre Organization in the Human Left Ventricle
The aim of the present study is to check, by means of elementary mathematical tools, a conjecture according to which myocardial fibres are geodesic curves running on some surfaces. This conjecture was first stated and experimentally checked by Streeter (1979) for the equatorial part of the left ventricle free wall. Quantitative polarized light microscopy provides measurements on fibre orientation that could lead to evidence that the conjecture remains true for the whole of the left ventricle. Study of the right ventricle is under progress.
KeywordsLeft Ventricle Geodesic Curve Fibre Organization Regular Curve Periodic Geodesic
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- Cai H. (1998)-Loi de comportement en grandes déformations du muscle à fibres actives. Application à la mécanique du coeur humain et à sa croissance, Thèse de l’Université de Savoie.Google Scholar
- Do Carmo M.P. (1976)-Differential geometry of curves and surfaces, Prentice-Hall.Google Scholar
- Streeter D.D. (1979)-Gross morphology and fiber geometry of the heart, in Handbook of Physiology. The cardiovascular system, Berne R.M., Sperelakis N., Geiger S.R. eds, Am. Phys. Soc., Williams & Wilkins, Baltimore.Google Scholar