No description available.

No description available.

Made available in DSpace on 2014-10-09T12:23:11Z (GMT). No. of bitstreams: 0 / Made available in DSpace on 2014-10-09T13:56:29Z (GMT). No. of bitstreams: 1 00636.pdf: 4746331 bytes, checksum: 49aa6e0eb3bdd9da261862a04bcb4b58 (MD5) / Dissertacao (Mestrado) / IEA/D / Instituto de Quimica, Universidade de Sao Paulo - IQ/USP

Made available in DSpace on 2014-10-09T12:23:11Z (GMT). No. of bitstreams: 0 / Made available in DSpace on 2014-10-09T13:56:29Z (GMT). No. of bitstreams: 1 00636.pdf: 4746331 bytes, checksum: 49aa6e0eb3bdd9da261862a04bcb4b58 (MD5) / Dissertacao (Mestrado) / IEA/D / Instituto de Quimica, Universidade de Sao Paulo - IQ/USP

This thesis is concerned with methodologies for the accurate quantitative modelling of molecular biological systems. The first part is devoted to the chemical Langevin equation (CLE), a stochastic differential equation driven by a multidimensional Wiener process. The CLE is an approximation to the standard discrete Markov jump process model of chemical reaction kinetics. It is valid in the regime where molecular populations are abundant enough to assume their concentrations change continuously, but stochastic fluctuations still play a major role. We observe that the CLE is not a single equation, but a family of equations with shared finite-dimensional distributions. On the theoretical side, we prove that as many Wiener processes are sufficient to formulate the CLE as there are independent variables in the equation, which is just the rank of the stoichiometric matrix. On the practical side, we show that in the case where there are m_1 pairs of reversible reactions and m_2 irreversible reactions, there is another, simple formulation of the CLE with only m_1+m_2 Wiener processes, whereas the standard approach uses 2m_1+m_2. Considerable computational savings are achieved with this latter formulation. A flaw of the CLE model is identified: trajectories may leave the nonnegative orthant with positive probability. The second part addresses the challenge when alternative, structurally different ordinary differential equation models of similar complexity fit the available experimental data equally well. We review optimal experiment design methods for choosing the initial state and structural changes on the biological system to maximally discriminate between the outputs of rival models in terms of L_2-distance. We determine the optimal stimulus (input) profile for externally excitable systems. The numerical implementation relies on sum of squares decompositions and is demonstrated on two rival models of signal processing in starving Dictyostelium amoebae. Such experiments accelerate the perfection of our understanding of biochemical mechanisms.

L’objectif de ce travail est de remplacer les catalyseurs organométalliques à base d’étain et de mercure utilisés lors de la synthèse de polyuréthane via la réaction isocyanate – alcool. Une étude bibliographique a montré que la basicité et la nucléophilie d’un catalyseur organique gouvernent son activité et le mécanisme réactionnel qu’il induit. Pour les catalyseurs organométalliques, ces propriétés catalytiques s’expliquent par des considérations électroniques ainsi que par le principe HSAB. D’autre part, une étude approfondie du catalyseur organomercuriel a été menée. Elle a révélé l’intérêt d’ajouter à l’espèce catalytique organométallique un acide carboxylique, de préférence à longue chaîne carbonée. Celui-ci ralentit l’hydrolyse du catalyseur tout en augmentant sa sélectivité envers la réaction isocyanate – alcool. De nouveaux catalyseurs ou systèmes catalytiques originaux ont ensuite été évalués grâce à un test simplifié. Trois catalyseurs organométalliques ont ainsi été sélectionnés pour de nouveaux essais dans des conditions plus proches de celles rencontrées dans l’industrie. Ils se sont tous révélés actifs, mais seul le -dicétonate de zinc II permet d’obtenir un prépolymère incolore et transparent, deux critères essentiels pour les applications visées. Il pourrait donc remplacer le catalyseur organostannique. Enfin, l’étude de la sélectivité de systèmes catalytiques impliquant un catalyseur commercial en présence d’acide néodécanoïque a confirmé le rôle protecteur de ce dernier. La sélectivité du complexe de zinc retenu précédemment a par ailleurs été évaluée et apparaît 2,5 fois supérieure à celle du complexe organomercuriel à remplacer. / The aim of this work is to replace organotin and organomercury catalysts used for the synthesis of polyurethane via the isocyanate – alcohol reaction. A bibliographic review revealed that basicity and nucleophilicity of an organic catalyst affect its activity and the reaction mechanism it induces. For organometallic catalysts, these catalytic properties can be explained by electronic considerations and by the HSAB principle. On the other hand, a comprehensive study of the organomercury catalyst highlighted the benefit to combine it with a carboxylic acid, preferably with a long carbon backbone. This slows down hydrolysis of the catalyst while increasing its selectivity toward the isocyanate – alcohol reaction. New original catalysts or catalytic systems were then evaluated using a simplified experiment. Three organometallic catalysts were selected for further testing in conditions closer to industrial ones. They all showed appropriate catalytic activity, but the zinc II -diketonate is the only one to provide a colorless and transparent prepolymer, two essential criteria for the intended applications. This complex could therefore replace the organotin catalyst. Finally, the study of the selectivity of catalytic systems involving a commercial catalyst in the presence of neodecanoic acid confirmed its protective role toward hydrolysis. The previously retained zinc complex was also evaluated and revealed a selectivity 2.5 times greater than that of the organomercurial complex to replace.