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The Monod equation is a mathematical model for the growth of microorganisms. It is named for Jacques Monod who proposed using an equation of this form to relate microbial growth rates in an aqueous environment to the concentration of a limiting nutrient.〔Jacques Monod. 1949. The Growth of Bacterial Cultures. ''Annual Review of Microbiology'', v. 3, p. 371.〕〔Monod, J. 1942. Recherches sur la croissance des Cultures Bactériennes. Hermann. Paris〕〔Dochain, D. 1986. On-line parameter estimation, adaptave state estimation and adaptave control of fermentation processes. Thése. Leuven University. Louvain la Neuve. Belgium〕 The Monod equation has the same form as the Michaelis–Menten equation, but differs in that it is empirical while the latter is based on theoretical considerations. The Monod equation is commonly used in environmental engineering. For example, it is used in the activated sludge model for sewage treatment. ==Equation== The Monod equation is:〔http://www.bren.ucsb.edu/academics/courses/219/Lectures/Lecture_4_ESM219_06.ppt.pdf〕 : where: * ''μ'' is the specific growth rate of the microorganisms * ''μ''max is the maximum specific growth rate of the microorganisms * ''S'' is the concentration of the limiting substrate for growth * ''K''''s'' is the "half-velocity constant"—the value of ''S'' when ''μ''/''μ''max = 0.5 ''μ''max and ''K''''s'' are empirical coefficients to the Monod equation. They will differ between species and based on the ambient environmental conditions. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Monod equation」の詳細全文を読む スポンサード リンク
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