By Jacques Thierie
This publication introduces a brand new paradigm in approach description and modelling. the writer exhibits the theoretical and useful successes of his strategy, which comprises exchanging a standard uniform description with a polyphasic description. this modification of standpoint finds new fluxes which are cryptic within the classical description. numerous case reviews are given during this ebook, that is of curiosity of these operating with biotechnology and eco-friendly chemistry.
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Extra resources for Introduction to Polyphasic Dispersed Systems Theory: Application to Open Systems of Microorganisms’ Culture
11) is a monotonously decreasing function. 12) is only the expression of net rate obtained at the system level and it should be written as ljSYS ¼ X = ðtÞ XðtÞ ð2:6:13Þ which is represented as dashes in Fig. 9. 13) represents, in fact the balance between cell growth and the outflow of cells from the chemostat. So it is seen that the terms of inflow/outflow appear and thus intervene in the principle of kinetic relativity. The passive outflow term can easily be evaluated, that is to say the outflow speed of cells in the absence of their growth.
This form is, however, generally very impractical and it is hoped that a less general condition that is much more helpful in practice will be introduced. 1 Two-Phase System For this, let us consider a two-phase system: solid and liquid. 6) it is reduced to, Vl ) Vs ð2:7:9Þ This simply signiﬁes that the system is very dilute and that the volume of the liquid phase is nearly equal to the working volume. Just as above, the volume of the solid phase is not generally known. Let us introduce phase density that is easily accessible.
The important point about this principle of kinetic relativity (PKR) is that the relativity of the observed rates depends on whether or not the system is open. 9): vðiÞjSYS ¼ vðiÞjmic So the choice of referential makes no difference. 1 2 General Results Discussion It is not thought that this principle of kinetic relativity or PKR is of just small import from the point of view of current practice and of mainly the modeling of cell mechanics and/or bioreactors. ). It is possible to write a model in these conditions, but it is not possible to complete experimental veriﬁcation without choosing a particular environment for the cell.