3 resultados para Anomalous Sub-Diffusion Equation, Fractional Derivative, Methods of Separating Variables, Non-homogeneous Problem

em DigitalCommons@The Texas Medical Center


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(1) A mathematical theory for computing the probabilities of various nucleotide configurations is developed, and the probability of obtaining the correct phylogenetic tree (model tree) from sequence data is evaluated for six phylogenetic tree-making methods (UPGMA, distance Wagner method, transformed distance method, Fitch-Margoliash's method, maximum parsimony method, and compatibility method). The number of nucleotides (m*) necessary to obtain the correct tree with a probability of 95% is estimated with special reference to the human, chimpanzee, and gorilla divergence. m* is at least 4,200, but the availability of outgroup species greatly reduces m* for all methods except UPGMA. m* increases if transitions occur more frequently than transversions as in the case of mitochondrial DNA. (2) A new tree-making method called the neighbor-joining method is proposed. This method is applicable either for distance data or character state data. Computer simulation has shown that the neighbor-joining method is generally better than UPGMA, Farris' method, Li's method, and modified Farris method on recovering the true topology when distance data are used. A related method, the simultaneous partitioning method, is also discussed. (3) The maximum likelihood (ML) method for phylogeny reconstruction under the assumption of both constant and varying evolutionary rates is studied, and a new algorithm for obtaining the ML tree is presented. This method gives a tree similar to that obtained by UPGMA when constant evolutionary rate is assumed, whereas it gives a tree similar to that obtained by the maximum parsimony tree and the neighbor-joining method when varying evolutionary rate is assumed. ^

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The purpose of this study was to compare the relative effectiveness of alternative methods of tracing named contacts of syphilis patients. A total of 236 contacts, identified by patients in two City of Houston Department of Health and Human Services clinics during the period April 1 through July 31, 1987, were studied. After contacts were grouped by sex and age, the proportion brought to examination by each of three methods, and by a combination of methods, was determined for each subgroup.^ The study found that 78.4% of all the 236 named sex contacts reported were located and brought to examination by the various methods of contact tracing and that 21.6% were missed. Of the 185 contacts examined, a combination of methods identified 47.7% of the cases, telephone contact, 28.6%, field contact, 16.9%, and patient referral, 11.8%.^ Of the 236 contacts reported, males made up 56.8% and females 43.2%. Contact tracing was more successful among females, with 81.4% of the 102 named female contacts, as compared to 76.1% of the 134 named male contacts being brought to examination. It is not known whether equal efforts were exerted in the follow-up of both male and female contacts. In both female and male subgroups, a combination of methods brought over 40% of sex contacts to examination. Telephone contact among females yielded 27.7% of the cases and field contact 18.1%, whereas in males, telephone contact identified 29.4% of the cases and field contact 15.7%. Patient referral was the least productive method in both sex groups, locating 12.8% in males as compared to 10.8% in females.^ On an age specific basis, a combination of methods was the most effective method in the 15-39 age group, whereas telephone contact was most effective in the 40-44 age group, and field contact in the 50-54 age group. Of all the methods of contact tracing, patient referral was the least productive in most age groups.^ Future studies of contact tracing should incorporate several important variables which were not examined in this study. ^

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Michelle Rhee weighs in on measuring success in pubic education.