Model for the kinetics

Tjandra et al. (1998) have proposed an interfacial reaction model for the kinetics of the reaction between 1-bromo octane and sodium phenoxide to give 1-phenoxyoctane in a nonionic microemulsion. In this model the microemulsion is assumed to consist of the aqueous phase and the interface is covered by a monolayer of surfactant molecules. It is thus possible to assess the interfacial area from the concentration of the surfactant in the microemulsion medium. 

A mechanistic model for the kinetics of gas hydrate formation was proposed by Englezos et al. (1987). The model contains one adjustable parameter for each gas hydrate forming substance. The parameters for methane and ethane were determined from experimental data in a semi-batch agitated gas-liquid vessel. During a typical experiment in such a vessel one monitors the rate of methane or ethane gas consumption, the temperature and the pressure. Gas hydrate formation is a crystallization process but the fact that it occurs from a gas-liquid system under pressure makes it difficult to measure and monitor in situ the particle size and particle size distribution as well as the concentration of the methane or ethane in the water phase. 

Schmidt CT, Durbin P. 1985. A five-compartment model for the kinetic distribution of americium in man. Health Phys 49(1) 161. 

Activation parameters for the reaction of NO with metMb, Eq. (15), were determined in this laboratory and in collaboration with van Eldik and Stochel (Table II) (23). Comparison of these activation parameters with those determined for reactions of NO with the water soluble ferri-heme complexes Fem(TPPS)(H20)2 and Feni(TMPS)(H20)2 (Table II) demonstrate that the latter compounds represent reasonable models for the kinetics for the analogous reaction with metMb. For example, the kon step would appear to be defined largely by the H20 lability of metMb(H20), although it is clear that the diffusion through protein channels, the distal residues and the proximal histidine binding to the Fe(III) center must all influence the NO binding kinetics (23,24). These properties may indeed be reflected in the lower AS values for both the on and off reactions on metMb. In a related study, Cao et al. recently... 

A combination of the concepts behind Equations (2.28) and (2.29) is applied in the activated sludge model for the kinetics of the hydrolysis processes (Henze et al., 1987). This combined concept, originally proposed by Dold et al. (1980), includes a saturation type of expression and a heterotrophic biomass with a maximum capacity for hydrolysis ... 

Bolton EW, Lasaga AC, Rye DM (1996) A model for the kinetic control of quartz dissolution and precipitation in porous media flow with spatially variable permeability Eormulation and examples of thermal convection. J Geophys Res 101 22,157-22,187 Bolton EW, Lasaga AC, Rye DM (1997) Dissolution and precipitation via forced-flux injection in the porous medium with spatially variable permeability Kinetic control in two dimensions. J Geophys Res 102 12,159-12,172... 

The half-life of Fe2(OH)2" at room temperature is a few seconds. An improved model for the kinetics of dissociation of this dinuclear cation recognizes significan articipation by Fe2(OH)3 + at higher pHs, thus clearing up earlier slight anomalies in this area. Phosphate ester hydrolysis at the di-iron center of uteroferrin has now been shown to involve nucleophilic attack by bridging hydroxide (as proposed but not conclusively demonstrated for several M—OH—M-containing catalytic species) rather than by hydroxide bonded to just one Fe. ... 

A simple model for the kinetics of helix formation invokes as the rate-determining step the formation of a nucleus of neighboring residues with and iff angles in the a-helical region of the Ramachandran diagram (Chapter 1, section Cl and Figure 1.11).5 The nucleuses so improbable that there is only a single one... 

Schmidt, S.K., S. Simkins, and M. Alexander. 1985. Models for the kinetics of biodegradation of organic compounds not supporting growth. Appl. Environ. Microbiol. 50 323-331. 

Lindstrom, F. T., Haque, R., and Coshow, W. R. (1970). Adsorption from solution. III. A new model for the kinetics of adsorption-desorption processes. J. Phys. Chem. 74, 495-502. 

This section proposes the use of a semi-Markov model with Erlang- and phase-type retention-time distributions as a generic model for the kinetics of systems with inhomogeneous, poorly stirred compartments. These distributions are justified heuristically on the basis of their shape characteristics. The overall objective is to find nonexponential retention-time distributions that adequately describe the flow within a compartment (or pool). These distributions are then combined into a more mechanistic (or physiologically based) model that describes the pattern of drug distribution between compartments. The new semi-Markov model provides a generalized compartmental analysis that can be applied to compartments that are not well stirred. 

SavcanL J.-M. (1987) A simple model for the kinetics of dissociative electron transfer in polar solvents. Application to the homogeneous and heterogeneous reduction of alkyl halides. J. Am. Chem. Soc. 109, 6788-6795. 

In a hindamental paper von Smoluchowski (1917) presented a theoretical model for the kinetics of the coagulation process. He showed that in the initial stages of coagulation the rate of disappearance of the primary particles, ije.. those present as single particles in the original dispersion, could be written as... 

Another model for the kinetics of cellulose pyrolysis assumes the formation of an active cellulose intermediate. Using this assumption, the kinetics of the pyrolysis process can be described similarly to the previous model as follows [9] ... 

Figure 3.40 Model for the kinetics of Me UPD on stepped substrate surfaces.

Models for the kinetics of the pyrolytic processes of solid samples... 

Patermarakis, G., Chandrinos, J., and Masavetas, K. 2007. Formulation of a holistic model for the kinetics of steady state growth of porous anodic alumina films. Journal of Solid State Electrochemistry 11, 1191-1204. 

A model for the kinetics of aggregation and sedimentation in lakes has been presented elsewhere (O Melia, 1980) a short summary is given here. The approach begins with a particle balance for the epilimnion of a lake ... 

To treat more realistic models for the kinetics of biomolecular encounters, a simulation approach has been developed and applied to proteins.370,371,3718 This approach merges stochastic dynamics methodology (Chapt. IV.D) with the analytic result for the Debye rate constant for a pair of particles, moving diffusively through solvent with a centrosymmetric interaction potential.365 The analytical expression for the Debye rate constant, ko(,R), to first achieve a separation, R, is given by... 

A review article by Bicerano [64] delves into the phenomenology of polymer crystallization in far greater detail including the trends for Tm and for the other crystallization parameters of homopolymers and copolymers, as well as the trends and some of the models for the kinetics of crystallization. Polypropylene, polyethylene terephthalate), and copolymers of propylene and of ethylene terephthalate, are all given detailed consideration as case studies. 

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