Submitted by Rafaela Magalhães Tavares null (rafaelarmt@yahoo.com.br) on 2016-04-19T11:40:30Z No. of bitstreams: 1 RAFAELA MAGALHAES TAVARES - DISSERTAÇÃO.pdf: 2642568 bytes, checksum: d735adb9c5a571ebaf0a5f7274658a8b (MD5) / Approved for entry into archive by Juliano Benedito Ferreira (julianoferreira@reitoria.unesp.br) on 2016-04-26T12:34:50Z (GMT) No. of bitstreams: 1 tavares_rm_me_sjrp.pdf: 2642568 bytes, checksum: d735adb9c5a571ebaf0a5f7274658a8b (MD5) / Made available in DSpace on 2016-04-26T12:34:50Z (GMT). No. of bitstreams: 1 tavares_rm_me_sjrp.pdf: 2642568 bytes, checksum: d735adb9c5a571ebaf0a5f7274658a8b (MD5) Previous issue date: 2016-03-01 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Nos últimos anos, o interesse por estudar peptídeos com atividade antimicrobiana e anticâncer tem aumentado consideravelmente. Neste trabalho, direcionamos nossos estudos para os peptídeos antimicrobianos da classe dos matoparanos extraídos do veneno da vespa social Polybia paulista: o Polybia-MP III (MP-III), Polybia-MP I (MP-I) e seu sintético análogo, o Asn2-Polybia-MP I (NMP-I). Com o objetivo de estudar a interação desses peptídeos com um modelo de membrana composta por lipídeos do tipo POPC (Palmitoil-Oleil-Fosfatidil-Colina) em solução aquosa, realizamos dois tipos de simulações de Dinâmica Molecular (DM). Primeiramente, foram realizadas simulações no equilíbrio com a finalidade de amostrar o comportamento geral do sistema. Em seguida, para investigarmos especificamente o processo de adsorção do peptídeo à bicamada, realizamos simulações de DM com a utilização do método Adaptive Biasing Force (ABF), o que nos permitiu calcular o perfil de energia livre desse processo. Dentre os três peptídeos estudados, o que mais se destacou com relação a sua interação com o modelo de membrana, na simulação no equilíbrio, foi o peptídeo MP-I, por ser o único a se adsorver na bicamada com 200ns de simulação. Com a utilização do método ABF, verificamos que a posição mais estável para cada peptídeo é a posição na qual estes estão paralelos à face da bicamada, com a face hidrofóbica de cada peptídeo voltada para o interior da membrana, e a face hidrofílica voltada para o meio aquoso. Além disso, os resíduos hidrofílicos estão em contato com o grupo polar dos fosfolipídeos e com a água, e o resíduo de triptofano encontra-se posicionado na interface hidrofóbica/hidrofílica. Os resultados obtidos na simulação no equilíbrio para o peptídeo MP-I, que foi o único a se adsorver na bicamada, estão de acordo com os resultados obtidos pelo método ABF, e ambos concordam com resultados experimentais da literatura. / In recent years, interest in studying peptides with antimicrobial and anti-cancer activity has increased considerably. In this study, we focus our studies on antimicrobial peptides of the mastoparans class extracted from the venom of the social wasp Polybia paulista: the Polybia-MP III (MP III), Polybia-MP I (MP-I) and its synthetic analogue, the Asn2-Polybia-MP I (NMP-I). In order to study the interaction of these peptides with a model of membrane composed of POPC (Palmitoyl-Oleoyl-Phosphatidyl-Choline) lipids type in aqueous solution, we conducted two types of molecular dynamics simulations (MD). At first, a balance system simulation was performed in order to get a sampling of the general behavior of the system. Then, to investigate the adsorption of the peptide to the bilayer, MD simulations using Adaptive Biasing Force (ABF) method was performed, which allowed us to calculate the free energy profile of this process. Among the three studied peptides, the MP-I peptide was the one that stood out related to its interaction with the membrane model, in the simulation on balance, for being the one to adsorb the bilayer with simulation of 200ns. Using the ABF method, we verified that the most stable position for each peptide is the position in which they are parallel to the surface of the bilayer with the hydrophobic side of each peptide facing into the membrane, and the hydrophilic side facing the aqueous solution. In addition, the hydrophilic residues are in contact with the polar group of the phospholipid and water, and the tryptophan residue is positioned on the hydrophobic/hydrophilic interface. The results of the simulation in balance for the MP-I peptide, which was the only adsorbed in the bilayer, are in agreement with the results obtained by the method ABF, and both agree with experimental results in the literature.

En physique statistique computationnelle, de bonnes techniques d'échantillonnage sont nécessaires pour obtenir des propriétés macroscopiques à travers des moyennes sur les états microscopiques. La principale difficulté est que ces états microscopiques sont généralement regroupés autour de configurations typiques, et un échantillonnage complet de l'espace configurationnel est donc typiquement très complexe à réaliser. Des techniques ont été proposées pour échantillonner efficacement les états microscopiques dans l'ensemble canonique. Un exemple important de quantités d'intérêt dans un tel cas est l'énergie libre. Le calcul d'énergie libre est très important dans les calculs de dynamique moléculaire, afin d'obtenir une description réduite d'un système physique complexe de grande dimension. La première partie de cette thèse est consacrée à une extension de la méthode adaptative de force biaisante classique (ABF), qui est utilisée pour calculer l'énergie libre associée à la mesure de Boltzmann-Gibbs et une coordonnée de réaction. Le problème de cette méthode est que le gradient approché de l'énergie libre, dit force moyenne, n'est pas un gradient en général. La contribution à ce domaine, présentée dans le chapitre 2, est de projeter la force moyenne estimée sur un gradient en utilisant la décomposition de Helmholtz. Dans la pratique, la nouvelle force gradient est obtenue à partir de la solution d'un problème de Poisson. En utilisant des techniques d'entropie, on étudie le comportement à la limite de l'équation de Fokker-Planck non linéaire associée au processus stochastique. On montre la convergence exponentielle vers l'équilibre de l'énergie libre estimée, avec un taux précis de convergence en fonction des constantes de l'inégalité de Sobolev logarithmiques des mesures canoniques conditionnelles à la coordonnée de réaction. L'intérêt de la méthode d'ABF projetée par rapport à l'approche originale ABF est que la variance de la nouvelle force moyenne est plus petite. On observe que cela implique une convergence plus rapide vers l'équilibre. En outre, la méthode permet d'avoir accès à une estimation de l'énergie libre en tout temps. La deuxième partie (voir le chapitre 3) est consacrée à étudier l'existence locale et globale, l'unicité et la régularité des solutions d'une équation non linéaire de Fokker-Planck associée à la méthode adaptative de force biaisante. Il s'agit d'un problème parabolique semilinéaire avec une non-linéarité non locale. L'équation de Fokker-Planck décrit l'évolution de la densité d'un processus stochastique associé à la méthode adaptative de force biaisante. Le terme non linéaire est non local et est utilisé lors de la simulation afin d'éliminer les caractéristiques métastables de la dynamique. Il est lié à une espérance conditionnelle qui définit la force biaisante. La preuve est basée sur des techniques de semi-groupe pour l'existence locale en temps, ainsi que sur une estimée a priori utilisant une sursolution pour montrer l'existence globale / In computational statistical physics, good sampling techniques are required to obtain macroscopic properties through averages over microscopic states. The main difficulty is that these microscopic states are typically clustered around typical configurations, and a complete sampling of the configurational space is thus in general very complex to achieve. Techniques have been proposed to efficiently sample the microscopic states in the canonical ensemble. An important example of quantities of interest in such a case is the free energy. Free energy computation techniques are very important in molecular dynamics computations, in order to obtain a coarse-grained description of a high-dimensional complex physical system. The first part of this thesis is dedicated to explore an extension of the classical adaptive biasing force (ABF) technique, which is used to compute the free energy associated to the Boltzmann-Gibbs measure and a reaction coordinate function. The problem of this method is that the approximated gradient of the free energy, called biasing force, is not a gradient. The contribution to this field, presented in Chapter 2, is to project the estimated biasing force on a gradient using the Helmholtz decomposition. In practice, the new gradient force is obtained by solving Poisson problem. Using entropy techniques, we study the longtime behavior of the nonlinear Fokker-Planck equation associated with the ABF process. We prove exponential convergence to equilibrium of the estimated free energy, with a precise rate of convergence in terms of the Logarithmic Sobolev inequality constants of the canonical measure conditioned to fixed values of the reaction coordinate. The interest of this projected ABF method compared to the original ABF approach is that the variance of the new biasing force is smaller, which yields quicker convergence to equilibrium. The second part, presented in Chapter 3, is dedicated to study local and global existence, uniqueness and regularity of the mild, Lp and classical solution of a nonlinear Fokker-Planck equation, arising in an adaptive biasing force method for molecular dynamics calculations. The partial differential equation is a semilinear parabolic initial boundary value problem with a nonlocal nonlinearity and periodic boundary conditions on the torus of dimension n, as presented in Chapter 3. The Fokker-Planck equation rules the evolution of the density of a given stochastic process that is a solution to Adaptive biasing force method. The nonlinear term is non local and is used during the simulation in order to remove the metastable features of the dynamics