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However, the regulatory network of these genes are in complex and nonlinear interaction with upstream regulators and downstream targets. In this paper, the mathematical model is built according to the regulatory relationships of these key genes. The stabilities of the gradients of these corresponding proteins are investigated. Furthermore, numerical simulations show that these gradients are robust with respect to some major reaction rates in this regulatory network. <\/jats:p>","DOI":"10.1142\/s0218127413501381","type":"journal-article","created":{"date-parts":[[2013,9,18]],"date-time":"2013-09-18T07:08:56Z","timestamp":1379488136000},"page":"1350138","source":"Crossref","is-referenced-by-count":2,"title":["STABILITY OF REGULATORY PROTEIN GRADIENTS INDUCED BY MORPHOGEN DPP IN <i>DROSOPHILA<\/i> WING DISC"],"prefix":"10.1142","volume":"23","author":[{"given":"HONGWEI","family":"YIN","sequence":"first","affiliation":[{"name":"School of Science, Nanchang University, Nanchang 330031, P. 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