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Yang Kuang: Delay differential equation models in biology and medicine

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Péntek, 23. Május 2014, 15:00 - 16:00
Abstract. Life processes are intrinsically stage structured and complex in nature. A simple and plausible way to incorporate stage structures in mathematical models of such processes is to employ delay differential equations (DDEs). Theoretical and computational advancements in DDEs reveal that well formulated DDE models incorporating natural mechanisms are capable of generating rich and natural dynamics in realistic parameter regions. In this talk, through several examples in ecology (staged predator-prey interaction and marine bacteriophage infection dynamics) and medicine (glucose-insulin interaction and tumor growth), we show that observed intriguing dynamics are often naturally embodied in DDE models.
Hely : Mars tér 20., II. emelet, M6 terem

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