Abstract
The Human Genome Project has been considered ``one of the great enterprises of 20th Century Science'' [8]. The ultimate goal of many efforts in molecular biology, including the Human Genome Project, is to determine the entire sequence of human DNA and to extract genetic information from it. In this context an important step is to build restriction maps (location of certain identifiable markers) of portions of the DNA [8]. Optimal Mapping [24], [17], [21], a process that fixes elongated DNA molecules onto treated surfaces, is a very promising emerging technology for rapid production of ordered restriction maps. Our modeling and solution of detection, mass estimation, and extraction of ordered restriction maps of DNA molecules attempts to understand/answer questions of significant importance to geneticists, biologists, and chemists.
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