Construct · 2 fields · 3 citations

Where does nucleolus collide?

One name. Different field. Different construct. One map.

● jingle · one word, two constructs Nearest construct by meaning·not indexed
nucleolus2 CONSTRUCTSNucleolus (organelle)MONTGOMERY · 1898Nucleolus (solution)SCHMEIDLER · 1969

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1898Nucleolus (organelle)1969Nucleolus (solution)
2026

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Cell biology

A dense sub-nuclear body that builds ribosomes

In cell biology the nucleolus is the largest distinct structure inside the cell nucleus: a dense, membraneless body that forms around the clusters of ribosomal-DNA genes, where ribosomal RNA is transcribed, processed, and packaged with proteins into the subunits of ribosomes. Montgomery's 1898 survey of the nucleolus across many cell types was one of the first systematic morphological accounts, and later work established it as the engine of ribosome biogenesis and a hub that also senses cellular stress. The referent is a physical organelle, counted and sized under the microscope, and it shares nothing with the game-theoretic solution of the same name beyond the borrowed word.[1][2]

Unit
The organelle's presence, number, and size within the nucleus
Recovery means
The nucleolus disassembles at mitosis and reassembles around active rDNA as the cell re-enters interphase
Measured by
Observed by light and electron microscopy and by markers of rRNA transcription and ribosome assembly

Cooperative game theory

The fairest single way to split the gains

In cooperative game theory the nucleolus is a solution concept that picks one specific way to divide a coalition's total payoff among its players. For every possible sub-coalition it measures the "excess" (how dissatisfied that group is with its share), and it chooses the allocation that makes the largest excess as small as possible, then the next-largest, and so on, lexicographically minimising discontent. Schmeidler introduced it in 1969 and proved it always exists, is unique, and lies in the core whenever the core is non-empty. It is an allocation rule, not a biological body, tied to the organelle only by name.[3]

Unit
A payoff vector dividing a coalition's worth among its players
Recovery means
Not applicable
Measured by
Computed by lexicographically minimising the sorted vector of coalition excesses, typically through a sequence of linear programs

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Nearby collisions

allocation3 fields · 4 citationsjingle · one word, three constructsbody2 fields · 3 citationsjingle · one word, two constructscell2 fields · 3 citationsjingle · one word, two constructs

References

  1. Montgomery, T. H. (1898). Comparative cytological studies, with especial regard to the morphology of the nucleolus. Journal of Morphology, 15(1), 265–582. https://doi.org/10.1002/jmor.1050150204
  2. Pederson, T. (2011). The nucleolus. Cold Spring Harbor Perspectives in Biology, 3(3), a000638. https://doi.org/10.1101/cshperspect.a000638
  3. Schmeidler, D. (1969). The nucleolus of a characteristic function game. SIAM Journal on Applied Mathematics, 17(6), 1163–1170. https://doi.org/10.1137/0117107

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