The Problem of Nucleolar Number in Cell Nuclei and in Sections of Cell Nuclei

Voss, Klaus; Roth, K.

doi:10.1002/bimj.4710270215

Cited by 2 publications

(3 citation statements)

References 7 publications

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“…It would also be interesting to compare the theory in the present paper with that in Voss & Roth (1985). This comparison, however, is left to the reader.…”

Section: Discussionmentioning

confidence: 86%

“…While the investigations of Schleicher and coworkers, like ours, are based on assumptions of special shape, those presented in Voss & Roth (1985) are of a more general nature. Making certain convexity assumptions they derive a relation between p= E M =CmmHm and x=EK=Z,kp, on the basis of which they make statistical inferences with respect to /i.…”

Section: Introductionmentioning

confidence: 71%

“…The formula for a , , corresponds with e.g. Formula (6) in Voss & Roth (1985) and is of special interest because it determines the relation between K = E K and [I = EM. We have K = a , , /I.…”

Section: T H E Mathematical Derivation Of M a T R I X Amentioning

confidence: 99%

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Determining nucleolar multiplicity and cell number from sectional data

Gramsbergen¹,

Kok

Poortema

et al. 1987

Journal of Microscopy

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SUMMARY The occurrence of more than one nucleolus within the cellular nucleus (polynucleolarity) is a well‐known phenomenon during the proliferative cell cycle, both under normal and pathological conditions (e.g. neoplasia). It can also be observed in neuronal nuclei at early stages of their maturation. Polynucleolarity merits investigation for cytological reasons. In an histological section, the observed number of nucleoli in a nucleus may be smaller than the actual number. In order to estimate the true distribution of the number of nucleoli per nucleus from the observed distribution, the mathematical relation between these distributions is derived (Section 4) on the basis of rather restrictive (Sections 3 and 11) stereological assumptions (Section 2). It is indicated how these distributions can be estimated from the data available and how the statistical uncertainties involved can be expressed (Sections 5, 6 and 7). This paper arose from making cell counts (Section 1). Two methods may be applied: (1) all visible nuclear profiles are counted, (2) nuclear profiles are only included if at least one nucleolus is visible in the section. We recommend a combination of these two methods (Section 8). An advantage of our theory for determining cell number (Section 9) is that one can often manage without the rather restrictive stereological assumptions needed hitherto. The advantage of expressing statistical uncertainties in estimated nucleolar multiplicity probabilities and cell numbers is indicated (Section 10).

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“…It would also be interesting to compare the theory in the present paper with that in Voss & Roth (1985). This comparison, however, is left to the reader.…”

Section: Discussionmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 71%

See 1 more Smart Citation

Determining nucleolar multiplicity and cell number from sectional data

Gramsbergen¹,

Kok

Poortema

et al. 1987

Journal of Microscopy

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Do early lesions affect cell death in the central nervous system? A study on the effects of early cerebellar hemispherectomy in rats

Gramsbergen

Ijkema‐Paassen

1987

J of Comparative Neurology

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Cell death patterns in the lateral and interposed nuclei were compared in control rats and rats in whom a unilateral cerebellar hemispherectomy was performed at day 2 of life. Both groups were studied between days 2 and 20 of life. Pyknotic cells and live neuronal and glial cells were counted from Nissl stained sections. After correction of these values, pyknotic to live cell ratios were calculated. In the lateral nucleus of normal rats, around 14-28 pyknotic cells per 1,000 live cells occurred from day 2 to day 12. Thereafter this value decreased, and from day 16 less than 3 pyknotic/1,000 live cells were observed. In the interposed nuclei, 18-28 pyknotic cells/1,000 live cells occurred at day 2, and from this age onward values gradually decreased. At day 20 values ranged around 1.6/1,000. After unilateral cerebellar hemispherectomy, values in both nuclei began to decrease as early as from day 8. Results from the present study strongly suggest that these cells are prevented from dying because they find an aberrant synaptic target in the ipsilateral red nucleus. Our results demonstrate that early lesions interfere with the regulation of fundamental processes of neuro-ontogeny.

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The Problem of Nucleolar Number in Cell Nuclei and in Sections of Cell Nuclei

Abstract: AbairoctIn thie peper the mean number m of nucleoli of cell nuclei and the relative frequency pN of cell nuclei with N nucleoli are inveatigated. To solve the firat problem, the stereologicel model of con-

Cited by 2 publications

References 7 publications

Determining nucleolar multiplicity and cell number from sectional data

Determining nucleolar multiplicity and cell number from sectional data

Do early lesions affect cell death in the central nervous system? A study on the effects of early cerebellar hemispherectomy in rats

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