Modelirovanie Izoelektricheskogo Fokusirovaniya V 'Anomal'nykh' Rezhimakh : Metody chislennogo, analiticheskogo i asimptoticheskogo issledovaniya zhestkoy kraevoy zadachi s integral'nymi usloviyami

Rassmotrena kompleksnaya matematicheskaya model' izoelektricheskogo fokusirovaniya (IEF), odnogo iz vazhneyshikh i naibolee upotrebitel'nykh elektroforeticheskikh metodov. Sootvetstvuyushchaya zhestkaya zadacha issledovana metodami matematicheskoy fiziki. Pervoocherednoe vnimanie udeleno tak nazyvaemym "anomal'nym" rezhimam IEF, pri kotorykh sootvetstvuyushchaya kraevaya zadacha s integral'nymi usloviyami stanovitsya zhestkoy, i ee standartnoe gaussovskoe reshenie priobretaet "platoobraznuyu" formu, a gradient pH - stupenchatyy vid. Razrabotan matematicheskiy apparat issledovaniya zhestkoy kraevoy zadachi IEF, vklyuchayushchiy v sebya metody ee preobrazovaniya i uproshcheniya, a takzhe chislennogo i asimptoticheskogo resheniya. Polucheno asimptoticheskoe reshenie zadachi, dayushchee formulu raspredeleniya, yavlyayushchegosya obobshcheniem gaussovskogo raspredeleniya v "anomal'nykh" rezhimakh. Monografiya prednaznachena dlya nauchnykh rabotnikov, prepodavateley, aspirantov i studentov matematicheskikh i fizicheskikh fakul'tetov.