Appendix Model of Subnuclear Segregation in the Macronucleus of Ciliates

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Abstract
In seeking a possible explanation for the experimental results of Allen and Nanney (158) some of the mathematical implications of an idealized random segregation model have been investigated. The problem is formulated in terms of a random segregation matrix. The eigenvalues of this matrix are derived for arbitrary N where N is the total number of macronuclear particles prior to replication. With the aid of these eigenvalues the value of N appropriate to results of Allen and Nanney is determined to be 45. For this value calculations of the rates of stabilization corresponding to the various possible initial populations have been carried out on a high-speed digital computer and the results have been plotted.

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