The Modelling of Noise Processes in Stochastic Differential Equations: Application to Biotechnological Processes

نویسندگان

  • S.G.T. Kops
  • K. Gernaey
  • O. Thas
چکیده

In recent years, there has been a growing awareness of the ill-de nedness of biotechnological processes, in particular the uncertainties attached to their models. Since both white-box and black-box models have their disadvantages, a mix between both formalisms is desirable. This formalism consists of grey-box models. In continuous time grey-box models often are described by stochastic di erential equations (SDE's). In contrast with the increasing popularity of using SDE's, focus has rarely been upon the modelling of the noise characteristics. In this paper, a general framework in which the modelling of noise characteristics may proceed is presented. The framework will be illustrated by means of a practical biotechnological example.

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تاریخ انتشار 2000