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  • Key words Autosomal recessive juvenile parkinsonism (AR-JP)  (1)
  • Primary 06A10  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Order 5 (1988), S. 131-141 
    ISSN: 1572-9273
    Keywords: Primary 06A10 ; Secondary 68R99, 68Q20 ; Partially ordered set ; bump number ; linear extensions ; two-processor scheduling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let (X, 〈) be a partially ordered set. A linear extension x 1, x 2, ... has a bump whenever x i〈x i+1, and it has a jump whenever x iand x i+1are incomparable. The problem of finding a linear erxtension that minimizes the number of jumps has been studied extensively; Pulleyblank shows that it is NP-complete in the general case. Fishburn and Gehrlein raise the question of finding a linear extension that minimizes the number of bumps. We show that the bump number problem is closely related to the well-studied problem of scheduling unit-time tasks with a precedence partial order on two identical processors. We point out that a variant of Gabow's linear-time algorithm for the two-processor scheduling problem solves the bump number problem. Habib, Möhring, and Steiner have independently discovered a different polynomial-time algorithm to solve the bump number problem.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1435-232X
    Keywords: Key words Autosomal recessive juvenile parkinsonism (AR-JP) ; Parkinson's disease (PD) ; Chromosome 6q25.2-27 ; Linkage disequilibrium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Abstract Autosomal recessive juvenile parkinsonism (AR-JP) (MIM 600116) is a hereditary neurodegenerative disorder characterized by levodopa-responsive parkinsonism with a mean age at onset of 23.2 years. We recently mapped the AR-JP gene locus to a 17-cM interval on chromosome 6q25.2-27. To further narrow the candidate region of the AR-JP gene, we performed detailed linkage analysis using densely placed genetic markers in this region (D6S437, D6S1581, D6S1579, D6S305, D6S411, SOD2, D6S253, D6S1599, D6S1719 and D6S264). Pairwise linkage analysis revealed the highest cumulative maximal lod score of 9.13 at D6S1579 (θ = 0.05), and multipoint linkage analysis revealed the highest cumulative lod score of 12.4 at the locus 3 cM telomeric to D6S1599. Observation of obligate recombination events narrowed the candidate region to a 13-cM region between D6S1579 and D6S264. Furthermore, we identified two marker loci, D6S1579 and D6S1599, which exhibit strong linkage disequilibrium with the AR-JP locus: χ2 (2 ×n table) = 84.22; P 〈 0.0001, χ2 [likelihood-ratio test (LRT)] = 20.66; P 〈 0.0001, λ = 0.40 and χ2 (2 ×n table) = 63.37; P 〈 0.0001, χ2 (LRT) = 10.32; P 〈0.0001, λ = 0.30, respectively. These results suggest that the candidate region for the AR-JP gene is most likely located near the 4-cM region encompassing D6S1579 and D6S1599.
    Type of Medium: Electronic Resource
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