A branch-and-cut approach to physical mapping with end-probes - Kölner UniversitätsPublikationsServer

Christof, Thomas, Jünger, Michael, Kececioglu, John, Mutzel, Petra ORCID: 0000-0001-7621-971X and Reinelt, Gerhard (1997). A branch-and-cut approach to physical mapping with end-probes. ACM. Working Paper. Open Access

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Abstract

A fundamental problem in computational biology is the construction of physical maps of chromosomes from hybridization experiments between unique probes and clones of chromosome fragments in the presence of error. Alizadeh, Karp, Weisser and Zweig (Algorithmica 13:1/2, 52-76, 1995) first considered a maximum-likelihood model of the problem that is equivalent to finding an ordering of the probes that minimizes a weighted sum of errors, and developed several effective heuristics. We show that by exploiting information about the end-probes of clones, this model can be formulated as a weighted Betweenness Problem. This affords the significant advantage of allowing the well-developed tools of integer linear-programming and branch-and-cut algorithms to be brought to bear on physical mapping, enabling us for the first time to solve small mapping instances to optimality even in the presence of high error. We also show that by combining the optimal solution of many small overlapping Betweenness Problems, one can effectively screen errors from larger instances, and solve the edited instance to optimality as a Hamming-Distance Traveling Salesman Problem. This suggests a new combined approach to physical map construction.

Item Type:

Preprints, Working Papers or Reports (Working Paper)

Creators:

Creators	Email	ORCID	ORCID Put Code
Christof, Thomas	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Jünger, Michael	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Kececioglu, John	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Mutzel, Petra	UNSPECIFIED	orcid.org/0000-0001-7621-971X	UNSPECIFIED
Reinelt, Gerhard	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED