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Tourette's syndrome (TS) is an inheritable, childhood-onset neuropsychiatric disorder characterized by the presence of motor and phonic tics. Despite decades of extensive studies, the exact disease etiology remains poorly understood. It is believed that susceptibility to TS is determined by the interactions of multiple genetic loci with unknown environmental factors. As a result, a great deal of research has been focused on identifying TS susceptibility genes. Thus far, at least 12 susceptibility loci have been suggested by genome-wide screenings, but none of them has been replicated probably...

For a given meromorphic function I(z) and an arbitrary value a, Nevanlinna's value distribution theory, which can be derived from the well known Poisson-Jensen for mula, deals with relationships between the growth of the function and quantitative estimations of the roots of the equation: 1 (z) - a = O. In the 1920s as an application of the celebrated Nevanlinna's value distribution theory of meromorphic functions, R. Nevanlinna 188] himself proved that for two nonconstant meromorphic func tions I, 9 and five distinctive values ai (i = 1,2,3,4,5) in the extended plane, if 1 1- (ai) = g-l(ai)...