3 conditions 2 growth model

By electrodeposition of CuInSe2 thin films on glassy carbon disk substrates in acidic (pH 2) baths of cupric ions and sodium citrate, under potentiostatic conditions [176], it was established that the formation of tetragonal chalcopyrite CIS is entirely prevalent in the deposition potential interval -0.7 to -0.9 V vs. SCE. Through analysis of potentiostatic current transients, it was concluded that electrocrystallization of the compound proceeds according to a 3D progressive nucleation-growth model with diffusion control. 

In biochemical engineering we are often faced with the problem of estimating average apparent growth or uptake/secretion rates. Such estimates are particularly useful when we compare the productivity of a culture under different operating conditions or modes of operation. Such computations are routinely done by analysts well before any attempt is made to estimate true kinetics parameters like those appearing in the Monod growth model for example. 

Microbiologists have developed ways to model microbial growth and, using assumptions related to the expected behavior of organisms under different environmental conditions, these models are then coupled with dose-response models with the result that risks (responses) can be estimated, given a certain degree of knowledge about initial microbe counts and the environmental conditions (related... 

The similarities between the observed deviations from the predicted BAFflippK relationship and those hypothesized to result from dilution indicate that under certain conditions growth has a significant effect on accumulation. However, the difference between the two estimates indicates that choice of rate constants is important. Analysis of eq 4 shows that it is particularly sensitive to the estimate of kx. When kx is small, even very low growth rates have a significant effect on accumulation. As a result, utilization of a kinetic-based model is dependent on the availability of accurate estimates of kx. 

The governing equations and boundary conditions for modeling melt crystal growth are described for the CZ growth geometry shown in Figure 6. The equations of motion, continuity, and transport of heat and of a dilute solute are as follows ... 

Figure 7. Simple model of seasonal temperature and 8lsO change in river water andhow the phase relationship of these could affect the SlsO amplitude of shell. (A) Ambient conditions for model. Temperature ranges from 0 to 30 °C for both monsoon and temperate cases. Temperate climate water 8lsO ranges from -3 to -l%o VSMOW monsoon climate water 8lsO ranges from -0.5 to -9.5% , as in Figure 3. (B) Calculated shell 8180 amplitudes for temperate and monsoon conditions in A. No shell growth occurs below 10 °C.

It appears from the above that microcosm and/or mesocosm tests are limited by the constraints of experimentation, in that usually only a limited number of recovery scenarios can be investigated. Consequently, modeling approaches may provide an alternative tool for investigating likely recovery rates under a range of conditions. Generic models, like the logistic growth mode (for example, see Barnthouse 2004) and life history and individual-based (meta)population models, which also may be spatially explicit, provide mathematical frameworks that offer the opportunity to explore the recovery potential of individual populations. For an overview of these life history and individual-based models, see Bartell et al. (2003) and Pastorok et al. (2003). 

The proposed approach combines macroscopic and elemental balances on the reactor with state-of-the-art adaptive estimation theories. Experiments and simulations show that estimates in excellent agreement with the true values can be obtained without using any growth models and both under transient and steady state operating conditions. 

All experiments that are exemplified here were performed using the human tumor cell line Calu-3, as model for the bronchial tract of the lung. The protocols are easily adaptable to other epithelial cells or cell lines taking into account that cultivation and experimental conditions (growth medium, cell numbers, cultivation time, TEER values, and others) may vary. 

Diagnostic Parameters Criteria for the Different Growth Models Nucleation-Growth-Overlap (I) [39] Miiller-Calandra (II) [43,44] and Srinivasan-Gileadi (III) [47] under Potentiodynamic Conditions... 

On the other hand, it was verified that the half-peak width AEy2 varies linearly with scan rate (Figure 8.12). This linear relationship together with those observed in Figures 8.10 and 8.11 are predicted by the nucleation-growth model for potentiodynamic conditions [39] when the nucleation process is fast and irreversible. 

---