Grazia Leonzio is currently a PhD student from L’Aquila University, Italy. She has published several articles and participated in several international and nationalrncongresses about environmental and energy aspect of chemical processes. She is a Member of several associations: Italian Association of Chemical Engineering,rnItalian Chemical Society, Italian Scientists and Scholars in North America and European Commission Authentication Service. She is also a Referee of severalrnjournals.
The aim of this research is to develop a mathematical model to describe the production of human antibody fragments of small sizernas ScFv, Fab, F(ab’), through fermentation of Escherichia coli BW25113 (ara). Th e fermentations are conducted in a fermenterrn(Chemap Ag) with a mechanical agitation. Th e entire phase of fermentation is monitored on-line using a data acquisition systemrnMFCS/WIN. A kinetic and stochiometric models are developed. Th e stochiometric model describes the biological process of biomassrngrowth. Th e kinetic analysis of experimental data about fermentation of E. coli is carried out for batch and fed-batch phase for thernproduction process. Th e batch analysis is described by material balances of substrate and biomass with Monod and Pirt equations.rnTh e fed-batch phase is modeled using the material balances on biomass, substrate and product and analyzing the variation on volumernduring the time. Runge and Kutta algorithm is used to resolve the system equations. Result show that the equation that describernthe growth of biomass is: C6H12O6+3.56O2+0.52ONH3→2.13CH1,92O0,3N0,24+3,87CO2+4,74H2O. For the Monod and Pirt law thernfollowing parameters are found by regression of experimental data during the batch phase: μmax is 0.55 h-1, Ks is 0.10 g/L, Yx/s isrn0.35. Th e kinetics parameters that describe the fed-batch phase are the following: μmax is 0.24 h-1, Ks is 1.5 g/L, Yx/s is 0.34, m isrn0.02, α is 0.00043, β is 0.00007, Yp/s is 0.00084. A sensitivity analysis is carried out to verify the effi ciency of the mathematical model,rnvarying the values of parameters about ±10%: Evident variations are not present so the model is robust and stable. Th e realizedrnmathematical models can be used to optimize the pilot plant and for the planning of the laboratory tests.
Anna Kapranova is the Head of Department of Theoretical Mechanics and Strength of Materials at Yaroslavl State Technical University, Yaroslavl, Russia.
Statement of the Problem: The process of mixing of bulk components is one of the main stages of their processing. Obtaining quality mixtures of bulk materials with unequal content of their volume fractions is actual problem for a variety of industries. Portion method of mixing of bulk components can be successfully implemented in the apparatus of gravity type using the additional mixing drums with a spiral coiling of brush elements. The study of mechanics of behavior of the rarefied flows of mixed materials in the working volume of the device of gravity type can be performed on the basis of stochastic approach. The purpose of this study is the research of the volume fraction of key component in the second phase of the portion mixing by means of the device of gravity type. Methodology & Theoretical Orientation: On the basis of the stochastic approach, the model of spreading of particles of bulk materials aft er interaction with brush elements is proposed as well as method of evaluating the volume fraction of a key component aft er the shock dispersion of the bulk components at the initial stage of batch mix. Findings: Th e results of stochastic modeling in the form of sets of non-equilibrium distribution functions for the number of particles of each of the granular material depending on the corners of their spreading aft er impact on inclined flat bump-stop allow revealing the conditions for obtaining the most homogeneous mixture at the second stage of the batch mixing. Conclusion & Significance: The results obtained depend on constructive-regime parameters of apparatus of gravity type, physicomechanical properties of mixed materials. Results could be used as the basis for development of an evaluation method for the degree of homogeneity of the granular mixture in the engineering method of calculation of specified device parameters.