Equation 7 shows the thermodynamic expression of the monod constant. Pdf computer file format was first created in 1993 by. Because of this, some equationsformulas might not show in the pdf file, even if they are displayed in the original document the conversion. Pdf statistics the universe of electronic documents. The monod equation was developed based on the following assumptions. Pdf the monod equation has been widely applied to describe microbial growth, but it has no mechanistic basis and is purely empirical. What follows are my lecture notes for a first course in differential equations, taught at the hong. What to do if some equations formulas dont show in the pdf. There are three ways to upload files to brightspace, so choose the.
Before converting the word document to adobes pdf format, do the following. A simple thermodynamic approach for derivation of a. The rate of accumulation v of mass within the tank. The monod equation was obtained empirically, and is a typical balanced growth model. Using mathtype with adobe acrobat to create pdf files mathtype. Derivation and definition of a linear aircraft model. What to do if my equations arent displaying correctly in ees. Portable document format pdf arxiv eprint repository. Pdfs that were obtained by uploading a word file have flawed equations, please be aware that uploading files prepared with word 2003 or earlier sometimes. Nasa reference publication 1207 derivation and definition. Request pdf a simple thermodynamic approach for derivation of a general monod equation for microbial growth the monod equation has been widely applied to describe microbial growth, but it has.
Derivation of kinetic equations for growth on single. Alternatively, upload them as pdf files, or insert the equations as images. Using mathtype with adobe acrobat to create pdf files. The portable document format pdf is a file format developed by adobe in the 1990s to present documents, including text. Applied microbiology and biotechnology 2007, 73 6, 12411250. Choose from a variety of file types multiple pdf files, microsoft word documents, microsoft excel spreadsheets, microsoft powerpoint. Open the document in word and choose the convert equations command from the mathtype tab or menu. The prediction by the monod equation is shown by a solid line with. Derivation of a balance equation using rates a differential balance can best be derived directly in terms of rates of change. Overview of some theoretical approaches for derivation of the monod equation. In some cases, the embedded mathtype equation objects just need to be refreshed to help improve the pdf creation process.
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