Chromosome mapping: radiation hybrid data and stochastic spin models

Nonlinear Sciences – Adaptation and Self-Organizing Systems

Scientific paper

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26 Pages, uuencoded LaTex, Submitted to Phys. Rev. E, cathy@server.nybc.org, alfcc@cunyvm.cuny.edu

Scientific paper

10.1103/PhysRevE.52.895

This work approaches human chromosome mapping by developing algorithms for ordering markers associated with radiation hybrid data. Motivated by recent work of Boehnke et al. [1], we formulate the ordering problem by developing stochastic spin models to search for minimum-break marker configurations. As a particular application, the methods developed are applied to 14 human chromosome-21 markers tested by Cox et al. [2]. The methods generate configurations consistent with the best found by others. Additionally, we find that the set of low-lying configurations is described by a Markov-like ordering probability distribution. The distribution displays cluster correlations reflecting closely linked loci.

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