Dynamics of interactions

In 1914, F. W. Lanchester introduced a set of coupled ordinary differential equations-now commonly called the Lanchester Equationsl (LEs)-as models of attrition in modern warfare. Similar ideas were proposed around that time by [chaseSS] and [osip95]. These equations are formally equivalent to the Lotka-Volterra equations used for modeling the dynamics of interacting predator-prey populations [hof98]. The LEs have since served as the fundamental mathematical models upon which most modern theories of combat attrition are based, and are to this day embedded in many state-of-the-art military models of combat. [Taylor] provides a thorough mathematical discussion. 

Dynamics of Interaction Among Ligand, Receptor, and G Protein... 

SUPERPARAMAGNETISM AND SPIN GLASS DYNAMICS OF INTERACTING MAGNETIC NANOPARTICLE SYSTEMS... 

Superparamagnetism and Spin Glass Dynamics of Interacting Magnetic Nanoparticle Systems By Petra E. Jonsson... 

Walker AV, Tighe TB, Cabarcos OM, Haynie BC, Allara DL, Winograd N (2007) Dynamics of interaction of magnesium atoms on methoxy-terminated self-assembled monolayers an example of a reactive metal with a low sticking probability. J Phys Chem C 111 765-772... 

Due to a combination of the modified technique for sensor analysis of composite gas mixture with unique properties of the gas-sensitive point-contact matrix, a complex dynamic of interaction between sensitive matter and volatile compounds of exhaled air has been observed. This interaction is characterized by longer adsorption times. This behavior was not observed in our previous work on breath analysis where fihn samples were used [11]. 

As we progress from left to right, we move from problems of composition, structure and reactivity of compounds to those of the dynamics of interacting processes and process systems generally we move from individual entities to systems, and these become directed to very specific missions to be achieved, with mandatory efficiency, and within the constraints of many physical and chemical parameters acting upon the process system as a whole. 

Pusey PN. The dynamics of interacting Brownian particles. J Phys A Math Gen 1975 8 1433-1440. 

Fluorine-labeled analogues of C. vinosum high-potential iron protein have been investigated by F NMR spectroscopy. By incorporation of specific fluorine-labeled amino acid residues, one can insert unique probes at well-defined locations within the protein core. The synthesis and purification of 2-, 3-, and 4-fluorophenylalanine (abbreviated 2-F-, 3-F-, and 4-F-Phe, respectively), 3-fluorotyrosine (3-F-Tyr), and 5-fluorotr3q)tophan (5-F-Trp) derivatives of C. vinosum HiPIP, the assignment of F NMR resonances, the measurement of longitudinal relaxation times, and the temperature dependence of F and resonances have all been reported 42, 43, 136). These measurements were used to examine structural perturbations of mutants, the dynamics of interaction of residues with the cluster, and solvent accessibility, and as a test of the relative contribution of cross-relaxation to magnetization decay. 

One of the main properties of interest in the field of conjugated polymers is the study of their dynamic nonlinear optical (NLO) response [112, 113]. It is a major challenge to obtain reliable dynamics of interacting electron systems. While for short oligomers there exist reasonable approximations for computing these properties [114], for longer chains even within model Hamiltonian approximations, the dynamic NLO coefficients had proved elusive. Yet most interest lies in the longer chains since the dynamic NLO properties exhibit dominant finite-size effects. 

This paper reviws the classification and dynamics of interaction between pairs of microbial populations inhabiting a common environment. A few cases of interaction between three or more populations are considered, also. The nature of the scheme of classification of interaction is described and its utility as well as its weaknesses are mentioned. 

Paidarova, Ph. Durand, Modeling quantum resonances 1. Dynamics of interacting resonances, in J. Maruani, R. Lefebvre, E. Brandas (Eds.), Advanced Topics in Theoretical Chemical Physics, Vol. 12 Progress in Theoretical Chemistry and Physics, Kluwer Academic, Dordrecht, 2003, p. 271. 

Actually, the determination of the receptor-kinetics (pharmacodynamics) of a digitalis compound Table 4.6) can be indispensable for the understanding of its in vivo behaviour as shown for the above-mentioned 16a-hydroxy-digitoxin [51,254]. Naturally, knowledge of the dynamics of interaction will also make possible the more profound interpretation of the thermodynamic equilibrium data given in Tables 4.1-4.5. 

SWar, LA., Muller, H., Swann, W.N., Comstock, C., Omann, G.M. and Rokoch, G.M. (1989). Dynamics of interaction among ligand, receptor and G-protein, in Luminescence Applications in Biological, Chemical, Environmental, and Hydro-logical Sciences (MG Goldberg, ed.), 52-69. ACS Publications. 

Recent researches on the dynamics of interacting colloidal particles can be seen in Faraday Discuss. Chem. Soc. 76 (1983). 

Weidlich, W. Haag, G. (1983). Concepts and models of a quantitative sociology The dynamics of interacting populations), (Springer Series in Synergetics, Vol. 14). Springer Verlag, Berlin. 

For a reactant molecule or ion in a micellar solution or microemulsion, predictions of electron transfer kinetics at electrodes need to consider [14] (1) the distance between the electrode and the reactant, (2) the environment surrounding the reactant at the time of electron transfer, (3) structure and dynamics of surfactant aggregates on the electrode, and (4) dynamics of interactions of the reactant with surfactant structures on the electrode and with micelles. A molecular picture of these events during electron transfer is by no means clear, and quantitative predictions are not possible at this time. A qualitative view of the above factors is given in the following paragraphs. 

What are appropriate roles for the computer in creating test environments ("delivery" of tests) and in assessing students perfomoance (How might the dynamics of interactive process oriented environments change the nature of the Unds of "items" that are given to students )... 

MODELING QUANTUM RESONANCES I. DYNAMICS OF INTERACTING RESONANCES... 

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