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The Growing Impact of Mathematics in Molecular Biology
Pages 27-35

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From page 27...
... Other very important topics are not covered due to time, space, and the limitations of the author; they include determination of protein structure, and the topology and geometry of DNA and protein structure. The Human Genome Project The genome of an organism is all of the DNA in the chromosomes of the organism.
From page 28...
... Although any two human genomes are thus very closely related, one genome might encode Albert Einstein while another encodes John Lennon. Genetic variations can also cause cancer in one person and let another live to the age of 120.
From page 29...
... Growth from 1984 to 1996 of the number of human genome base pairs (in millions) in the GenBank DNA database.
From page 30...
... This represents a marker for approximately every 700,000 nucleotides along the human genome. The mathematical issues are statistical as the problem is one of estimation of marker order, and the location of a disease gene is of statistical significance.
From page 31...
... For our purposes shotgun sequencing is physical mapping with a one sequence as a fingerprint. Real DNA sequence assembly has several difficulties that idealized problems do not.
From page 32...
... Rapid entry is important so that biologists can learn the relationship of new sequences with other sequences that have been determined. The Human Genome Project has increased the rate and volume of DNA sequencing.
From page 33...
... in modern molecular biology, it is common to find a stretch of sequence that matches well between two otherwise unrelated sequences. This is a more complex algorithm question.
From page 34...
... Collins, 1995, "How is the Human Genome Project doing, and what have we learned so far?
From page 35...
... Lander and Michael S Waterman, editors, Board on Mathematical Sciences, National Academy Press, Washington D.C.


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