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Actual Distribution of the Number and Volume of the Islets of Langerhans in Different Size Classes in Non-diabetic Humans of Varying Ages


THE equations defining the relationship between the apparent size distribution, that is, that observed in a section and the actual size distribution of spherical and ellipsoidal bodies were derived by Wicksell1,2. With the assumption that these bodies are evenly distributed, the relationship can be expressed in the form of Abelian integrals, which by approximation can be converted into linear equation systems adapted for practical calculation.

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  1. 1

    Wicksell, S. D., Biometrika, 17, 84 (1925).

  2. 2

    Wicksell, S. D., Biometrika, 18, 152 (1926).

  3. 3

    Tejning, S., Acta Med. Scandinav., Suppl. 198 (1947).

  4. 4

    Hellman, B., Acta Endocrinol., 31, 91 (1959).

  5. 5

    Hellman, B., Acta Soc. Med. Upsal, 64, 393 (1959).

  6. 6

    Hellman, B., Acta Endocrinol., 32, 63 (1959).

  7. 7

    Hellman, B., Acta Pathol. et Microbiol. Scandinav, 47, 21 (1959).

  8. 8

    Hellman, B., Acta Soc. Med. Upsal, 64, 432 (1959).

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