The kinetics of induction of the galactozymase of certain yeasts (Spiegelman, 1951) and the permease-3-galactosidase system of Escherichia coli (Monod, 1956) can, under certain conditions, be described as autocatalytic. Essentially two hypotheses have been proposed to account for such findings: (a) that the enzyme-forming system itself is autocatalytically activated (Campbell and Spiegelman, 19...

ion of complex systems in various ways. Thus the subject of lumping of multicomponent, multireaction systems in petrochemical reaction engineering sought to find component clumps whose concentrations would serve to define their rates of change and to see the circumstances under which such simplifications would emerge. Naturally, linear reaction systems could be dealt with more elegance as, for ...

The structural and dynamical properties of biological macromolecules under non-equilibrium conditions determine the kinetics of their basic reaction to external stimuli. This kinetics is multiexponential in nature. This is due to the operation of various subsystems in the structure of macromolecules, as well as the effect of the basic reaction on the structure of macromolecules. The situation c...

Biodegradation kinetics of naphthalene, phenanthrene and pyrene were studied in sole-substrate systems, and in binary and ternary mixtures to examine substrate interactions. The experiments were conducted in aerobic batch aqueous systems inoculated with a mixed culture that had been isolated from soils contaminated with polycyclic aromatic hydrocarbons (PAHs). Monod kinetic parameters and yield...

Repair rather than segregation of damage is the optimal unicellular aging strategy Model equations. In all cases, growth of active protein depends on substrate concentration S following Monod kinetics: (). (1) If repair of damaged protein takes place, the rate of repair is: (). (2) Basic model: damaged protein inert, and not repaired:

Growth of the ruminal bacteria Fibrobacter succinogenes S85, Ruminococcus flavefaciens FD-1, and R. albus 7 followed Monod kinetics with respect to concentrations of individual pure cellodextrins (cellobiose, cellotriose, cellotetraose, cellopentaose, and cellohexaose). Under the conditions tested, R. flavefaciens FD-1 possesses the greatest capacity to compete for low concentrations of these c...

We optimize a general model of bioprocesses, which is nonconvex due to the microbial growth in biochemical reactors. formulate convex relaxation and give conditions guaranteeing its exactness both transient steady-state cases. When kinetics are modeled by Contois or, under constant biomass, Monod or Powell functions, second-order cone program, can be solved efficiently at large scales. implemen...

Batch and fed-batch experiments were conducted to examine the kinetics of pentachlorophenol utilization by an enrichment culture of pentachlorophenol-degrading bacteria. The Haldane modification of the Monod equation was found to describe the relationship between the specific growth rate and substrate concentration. Analysis of the kinetic parameters indicated that the maximum specific growth r...

Identification of mathematical models is an important task for the design and the optimization of biokinetic processes. Monod or Tessier growth-rate models are often chosen by default, although these models are not able to represent the dynamics of all bacterial growth processes. This imperfect representation then affects the quality of the model prediction. This paper introduces an alternative...

The reduction kinetics of Fe(III)citrate, Fe(III)NTA, Co(III)EDTA-, U(VI)O(2) (2+), Cr(VI)O(4) (2-), and Tc(VII)O(4) (-) were studied in cultures of dissimilatory metal reducing bacteria (DMRB): Shewanella alga strain BrY, Shewanella putrefaciens strain CN32, Shewanella oneidensis strain MR-1, and Geobacter metallireducens strain GS-15. Reduction rates were metal specific with the following rat...