Kinetic laws, phase–phase expansions, renormalization group, and INR calibration Export

@article{citeulike:4381226, abstract = {10.1073/pnas.0809855106 We introduce systematic approaches to chemical kinetics based on the use of phase–phase (log–log) representations of the rate equations. For slow processes, we obtain a corrected form of the mass-action law, where the concentrations are replaced by kinetic activities. For fast reactions, delay expressions are derived. The phase–phase expansion is, in general, applicable to kinetic and transport processes. A mechanism is introduced for the occurrence of a generalized mass-action law as a result of self-similar recycling. We show that our self-similar recycling model applied to prothrombin assays reproduces the empirical equations for the International Normalized Ratio calibration (), as well as the Watala, Golanski, and Kardas relation (WGK) for the dependence of the on the concentrations of coagulation factors. Conversely, the experimental calibration equation for the , combined with the experimental WGK relation, without the use of theoretical models, leads to a generalized mass-action type kinetic law.}, author = {Vlad, Marcel O. and Corlan, Alexandru D. and Mor\'{a}n, Federico and Spang, Rainer and Oefner, Peter and Ross, John}, citeulike-article-id = {4381226}, citeulike-linkout-0 = {http://dx.doi.org/10.1073/pnas.0809855106}, citeulike-linkout-1 = {http://www.pnas.org/content/106/16/6465.short.abstract}, citeulike-linkout-2 = {http://www.pnas.org/content/106/16/6465.short.full.pdf}, citeulike-linkout-3 = {http://view.ncbi.nlm.nih.gov/pubmed/19366671}, citeulike-linkout-4 = {http://www.hubmed.org/display.cgi?uids=19366671}, day = {21}, doi = {10.1073/pnas.0809855106}, journal = {Proceedings of the National Academy of Sciences}, keywords = {allometric, analysis, anlaysis, approximation, biochemical, chemical, emergent-properties, kinetic, mathematical, multi-scale, power-laws, probabilistic, rate-law, reactions, renormalization-group-analysis}, month = {April}, number = {16}, pages = {6465--6470}, posted-at = {2009-09-06 16:27:05}, priority = {4}, title = {Kinetic laws, phase–phase expansions, renormalization group, and INR calibration}, url = {http://dx.doi.org/10.1073/pnas.0809855106}, volume = {106}, year = {2009} }

TY - JOUR ID - citeulike:4381226 L3 - citeulike-article-id:4381226 N2 - 10.1073/pnas.0809855106 We introduce systematic approaches to chemical kinetics based on the use of phase–phase (log–log) representations of the rate equations. For slow processes, we obtain a corrected form of the mass-action law, where the concentrations are replaced by kinetic activities. For fast reactions, delay expressions are derived. The phase–phase expansion is, in general, applicable to kinetic and transport processes. A mechanism is introduced for the occurrence of a generalized mass-action law as a result of self-similar recycling. We show that our self-similar recycling model applied to prothrombin assays reproduces the empirical equations for the International Normalized Ratio calibration (), as well as the Watala, Golanski, and Kardas relation (WGK) for the dependence of the on the concentrations of coagulation factors. Conversely, the experimental calibration equation for the , combined with the experimental WGK relation, without the use of theoretical models, leads to a generalized mass-action type kinetic law. IS - 16 JF - Proceedings of the National Academy of Sciences EP - 6470 TI - Kinetic laws, phase–phase expansions, renormalization group, and INR calibration VL - 106 SP - 6465 KW - allometric KW - analysis KW - anlaysis KW - approximation KW - biochemical KW - chemical KW - emergent-properties KW - kinetic KW - mathematical KW - multi-scale KW - power-laws KW - probabilistic KW - rate-law KW - reactions KW - renormalization-group-analysis AU - Vlad, Marcel AU - Corlan, Alexandru AU - Morán, Federico AU - Spang, Rainer AU - Oefner, Peter AU - Ross, John PY - 2009/04/21/ UR - http://dx.doi.org/10.1073/pnas.0809855106 ER -