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Geometrical Probability and Biological Structures: Buffon’s 200th Anniversary pp 71–75Cite as

Analyse D’Une Population de Cellules Spheriques

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Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 23))

Abstract

The first part of this paper is devoted to the analysis and verification of methods derived from that of WICKSELL which allows deduction of the cell volume histogram from the histogram of cell section diameters. The second part emphasiezs the difficulties involved in the interpretation of the cell volume histogram: if it is multimodal can one conclude that it is composed of sub-histograms defined by some biological reality ? And if it is unimodal does this mean that it represents a single population or a superimposition of gaussian populations. In the last case, how does one determine the statistical law attributed to a subpopulation ?

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References

  • d’ATHIS P. (1974): Etude du volume de particules sphériques à partir d’une section aléatoire. C.R. Acad. Sc. Paris, t278, série D, p1249, 1252.

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  • d’ATHIS P. (1976): Analysis of a set of spherical cells relative to their volume. Proceedings of the 4-th International Congress for stereology held at NBS, Gaithersburg, Md., September 1975 (issued 1976).

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  • De HOFF R.T., THINES F.N. ( 1968: Quantitative microscopy. Mac Graw-Hill book cy. NewNew-York.

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  • WICKSELL S.D. (1925): The corpuscle problem: case of spherical particles. Biometrika, 17, 84.

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Author information

Authors and Affiliations

  1. Pitie Salpetriere, 91 Bld de l’Hôpital, 75013, Paris, France

    Ph. D’Athis, M. Raphael & J. L. Binet

Authors
  1. Ph. D’Athis
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  2. M. Raphael
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  3. J. L. Binet
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Editor information

Editors and Affiliations

  1. Department of Statistics Institute of Advanced Studies, Australian National University, P.O. Box 4, 2600, Canberra, A.C.T., Australia

    Roger E. Miles

  2. Centre de Morphologie Mathématique, Ecole des Mines de Paris, 35 rue St. Honoré, 77305, Fontainebleau, France

    Jean Serra

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© 1978 Springer-Verlag Berlin Heidelberg

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D’Athis, P., Raphael, M., Binet, J.L. (1978). Analyse D’Une Population de Cellules Spheriques. In: Miles, R.E., Serra, J. (eds) Geometrical Probability and Biological Structures: Buffon’s 200th Anniversary. Lecture Notes in Biomathematics, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93089-8_6

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  • DOI: https://doi.org/10.1007/978-3-642-93089-8_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08856-1

  • Online ISBN: 978-3-642-93089-8

  • eBook Packages: Springer Book Archive

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