Mack model

Equation (12.115) is commonly referred to as the kinetic model or Mack model, named after the scientist who first proposed it. In the case where the diffusion rate constant is large compared to the surface reaction rate, i.e., a 1, Eq. (12.115) reduces to... 

Thus the application of the enhanced Mack model of development rate in lithographic simulators calls for the specification of these five expression parameters . max>. min resim tl, and 1. 

Figure 12.6 Comparison of the accuracy of the Dill model, Mack model, and enhanced (advanced) Mack model in modeling the dissolution rate data of AZ 7908 resist developed in 300-MIF developer. (Courtesy of R. Dammel.)...

C Zwieb, K Gowda, N Larsen, E Muller. Mol Modeling Nucleic Acids 682 405-413, 1998. TJ Macke, DA Case. Mol Modeling Nucleic Acids 682 379-392, 1998. 

The MEG model has been extensively used to determine lattice energies and interionic equilibrium distances in ionic solids (oxides, hydroxides, and fluorides Mackrodt and Stewart, 1979 Tossell, 1981) and defect formation energies (Mack-rodt and Stewart, 1979). Table 1.21 compares the lattice energies and cell edges of various oxides obtained by MEG treatment with experimental values. 

Bartholoma P, Impidjati, Reininger-Mack A et al (2005) A more aggressive breast cancer spheroid model coupled to an electronic capillary sensor system for a high-content screening of cytotoxic agents in cancer... 

Macke T, Case DA (1998) Modeling unusual nucleic acid structures. In Leontes N, SantaLucia J Jr (eds) Molecular modeling of nucleic acids. American Chemical Society, Washington, D.C., pp 379-393... 

Whereas the proton transfer does not effect the stochiometry of the final PI when water is eliminated in the imidization reaction (fig. 3F), addition of an excess ODA molecule to polyamic acid could lead to the imine type crosslink formation schematically shown in figure 3G. This would lead to a deficiency of carbonyl oxygen atoms for vapor deposited polyimide and is consistent with our analysis. Mack et al. [16] proposed imine crosslink formation from their Raman spectroscopic studies for vapor deposited polyimides with excess ODA. In accordance with this model we attribute the low binding energy shoulder in the polyimide Nls line (figure 4c) to double bonded nitrogen species. However, the model gives no explanation for the carbonyl deficiency found in spin deposited polyamic acid and polyimide. In this case no excess of ODA is observed and only a very weak shoulder has been reported for the Nls line [4,11]. 

Knox, J. D., Mack, C. R, Powell, W. C., Bowden, G. T. and Nagle, R. B. (1993). Prostate tumor cell invasion A comparison of orthotopic and ectopic models. Invasion Metastasis 13, 325-331. 

Mack, G.H. Madoff, R.D. (2005) A test of models of alluvial architecture and palaeosol development Camp Rice Formation (Upper Pliocene-Lower Pleistocene), southern Rio Grande rift, New Mexico, USA. Sedimentology 52, 191-211. 

Mack, C.A. PROLITH a comprehensive optical lithography model. Proc. SPIE 1985, 538, 207-220. 

Edelstein-Keshet (1988). Models of AIDS are discussed by Murray (1989) and May and Anderson (1987). An excellent review and commentary on the Ker-mack-McKendrick papers is given by Anderson (1991). 

Epidemic model revisited) In E.xercise 3.7.6, you analyzed the Ker-mack-McKendrick model of an epidemic by reducing it to a certain first-order system. In this problem you ll see how much easier the analysis becomes in the phase plane. As before, let x(t) > 0 denote the size of the healthy population and y(f) > 0 denote the size of the sick population. Then the model is... 

M2. Mack, D. H and Sninsky, J. J., A sensitive method for the identification of uncharacterized viruses related to known virus groups Hepadnavirus model system. Proc. Natl. Acad. Sci. U.S.A. 85, 6977-6981 (1988). 

Local-scaling transformations made their appearance in density functional theory (although in a disguised manner) in the works of Macke [58, 59]. Because the Thomas-Fermi theory corresponded to a free-electron gas model, and as such it was cast in terms of plane waves, any improvement on this theory required the introduction of deformed plane waves. Thus, initially local-scaling transformations were implicitly used when plane waves (defined in the volume V in ft3 and having uniform density p0 = N/V) ... 

Mackness, B. et al. Human paraoxonase-1 overexpression inhibits atherosclerosis in a mouse model of metabolic syndrome. Arterioscler. Thromb. Vase. Biol. 26 (2006b) 1545-50. 

C.A. Mack et al., Modeling of solvent evaporation effects for hot plate baking of photoresist, Proc. SPIE 2195, 584 (1994). 

Levinson, Principles of Lithography, 2nd ed., p. 103, SPIE Press, Bellingham, WA (2005). C.A. Mack, Optical lithography modeling, in Microlithography Science and Technology, J.R. Sheats and B.W. Smith, Eds., p. Ill, Marcel Dekker, New York (1998). 

Independently proposed hy Mack and Bernard, this model accounts for the effect of a changing aerial image focus (i.e., defocus effect) as it propagates... 

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