Campbell’s model

Unlike the previous models by Darnell and Mol [14] and Tadmor and Klein [1], which are based upon the assumption of isotropic stress conditions, Campbell s model [20] considered anisotropic stress conditions, as suggested by Schneider [15], but it was assumed to be 1.0 due to the lack of published experimental data on the subject. Variations on the model set forth by Campbell and Dontula [20] include a modification to incorporate the lateral stress ratio [19, 22], and other modifications discussed by Hyun et al. [21, 23]. A modified Campbell-Dontula model with a homogeneous lateral stress is as follows ... 

Here, Fg plays a similar role to that of the unknown force, in Campbell s models. Fg is resolved into forces Fj and F, and acts at an angle W to F (the flight edge). These forces are in a plane parallel to the screw root surface. The new static force balance yields ... 

According to Campbell s model (1972), the R-R interactions between localized 4f moments should exhibit a stronger variation, because in this interaction flie 4f-5d part of the effective exchange interactions enters twice. To support this view, the ratio r (defined as r = is usually considered (Belorizky et al. 1988, Due et al. 1993a). 

The proposed model can be compared with both the model of Allred ( ) and that of Campbell et al. (8). Allred s model does not have the feature of competing parallel reactions that is essential to the pyrolysis model proposed here. It does, however, have the intermediate product bitumen which reaches a maximum level almost identical to the one in this work. Allred postulates that all kerogen decomposes into bitumen, whereas bitumen in the present work is the remainder of the kerogen after the light hydrocarbon fraction has been stripped off. 

Lambert and co-workers (121-123, 125) have addressed this issue of further oxidation and other features of Cs promotion using model catalysts based on Cs/Ag(lll). Their results indicate that the simultaneous presence of Cs and CO2 lead to marked enhancements in selectivity (125). In contrast to Campbell s results, they report that Cs enhances the rate of epoxidation at low conversion (122). They also show that, although Ag(l 11) is active in the isomerization of the product (ethylene epoxide) to acetaldehyde, its activity for this side reaction can be suppressed by surface Cs addition (122, 123). Since this isomerization may lead to further oxidation of the epoxide, this may help to explain the enhancement in selectivity derived from Cs addition in industrial catalysis. 

Aboelkassem, Y., Savic, D., Campbell, S.G. Mathematical modeling of aortic valve d5mamics during systole. Journal of Theoretical Biology 365, 280-288 (2015)... 

Campbell. S. W., and Welland, R. H., 1989, Modeling CO2 Removal by Amine Blends, paper presented at the AIChE 1989 Spring National Meeting, Houston, TX, April 2-6. 

Stenham, D.R., Campbell, J.D., Sansom, M.S.P., Higgins, C.F., Kerr, I.D. and Linton, K.J. (2003) An atomic detail model for the human ATP binding cassette transporter P-glycoprotein derived from disulphide cross-linking and homology modelling. FASEB Journal, 17, 2287-2289. 

Omidi Y, Campbell L, Barar J, Connell D, Akhtar S, Gumbleton M (2003) Evaluation of the immortalised mouse brain capillary endothelial cell line, b.End3, as an in vitro blood-brain barrier model for drug uptake and transport studies. Brain Res 990 95-112... 

Ramesh, N. S., Rasmussen, D. H., and Campbell, G. A., The Heterogeneous Nucleation of Microcellular Foams Assisted by the Survival of Microvoids in Polymers Containing Low Glass Transition Particles. Part 1 Mathematical Modeling and Numerical Simulation, Polym. Eng. ScL, 34, 1685 (1994)... 

Smith, K. S., Campbell, D. L. et at. 2002. Chapter C, Toolkit for the rapid screening and characterization of waste piles on abandoned mine lands. In Seal II, R. R. Foley, N. K. (eds) Progress on Geoenvironmental Models for Selected Mineral Deposit Types. US Geological Survey, Denver CO, USA, US Geological Survey Open-File Report 02-195. 

Song, S., M. Scott-Jorgensen, I Wang, A. Poirier, I Crawford, M. Campbell-Thompson, and T. Flotte, Intramuscular administration of recombinant adeno-associated virus 2 alpha-I antitrypsin (rAAV-SERPINAl) vectors in a nonhuman primate model safety and immunologic aspects. Mol Ther, 2002. 6(3) 329. 

Walpole, C., Ko, S. Y., Brown, M., Beattie, D., Campbell, E., Dickenson, F., Ewan, S., Hughes, G. A., Lemaire, M., Lerpiniere, J., Patel, S., Urban, L. 2-Nitrophenylcarbamoyl-(S)-prolyl-(S)-3-(2-naphthyl)alanyl-N-benzyl-N-methylamide (SDZ NKT 343), a potent human NK1 tachykinin receptor antagonist with good oral analgesic activity in chronic pain models, J. Med. Chem. 1998b, 41, 3159-3173. 

Fig. 3.20. (a) Calculated current density as a function of inverse temperature for V = 10 V for a conducting polymer sample with exponentially distributed traps. The values of the trap distribution parameter Tc are Tc = 2500 K (long dash line), Tc = 1800 K (dash-dot line), Tc = 1500 K (solid line), Tc = 1200 K (dotted line) and Tc = 1000 K (small dash line). The values of the other parameters are Hb = 3 x 1018 cm-3, Nv = 3 - 1020 cm-3, e=2 and /ip = 5 x 10 cm2 V 1 s 1. The inset shows the calculated effective activation energy, Eeb. as a function of the characteristic trap distribution energy ) = kTc. (b) J-V characteristics of a sample of MEH-PPV with a thickness of 94 nm on a log-linear scale. The symbols represent the data of Campbell et al. [46]. The lines represent calculated values using the mobility model. The figure is taken from [42],... 

A very commonly used model for the effect of phonon confinement was developed initially by Richter et al. [21] and Campbell and Fauchet [22] (RCF model), and adapted by various other researchers for their particular sample analyses. Under this model, the Raman intensity for the optical mode(s) confined to crystal domains of average diameter/) may be expressed as [23] ... 

Giavazzi, R., Jessup J. M., Campbell D. E., Walker S. M. and Fidler I. J. (1986). Experimental nude mouse model of human colorectal cancer liver metastases. J. Natl. Cancer Inst. 77, 1303-1308. 

Kumar A, Campbell DM, Klein MT. Computer-assisted kinetic modeling Interfacing structure and reaction network model builders. Abstr Pap Am Chem S 1997 214 82-PETR Part 2. 

Bowie, G. L., W. Mills, D. B. Porcella, C. L. Campbell, J. R. Paoenkopf, et al. 1985. Rates, constants, and kinetics formulations in surface water quality modeling, 2d ed. Report EPA/600/3-85/04. Athens, GA U.S. EPA. Bradley, D. J., C. W. Frank, and Y. Mikerin. 1996. Nuclear contamination from weapons complexes in the former Soviet Union and the United States. Physics Today (April) 40-45. 

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