Les processus mitochondriaux tels que la réplication et la traduction sont effectués par des complexes multiprotéiques. Par contre, le métabolisme et la voie de maturation des ARN mitochondriaux (p. ex précurseurs des ARNt et des ARNr) sont habituellement traités comme une suite de réactions catalysées par des protéines séparées. L’exécution fidèle et optimale de ces processus mitochondriaux, exige un couplage étroit nécessaire pour la canalisation des intermédiaires métaboliques. Or, les évidences en faveur de l'interconnexion postulée de ces processus cellulaires sont peu nombreuses et proviennent en grande partie des interactions protéine-protéine. Contrairement à la perception classique, nos résultats révèlent l’organisation des fonctions cellulaires telles que la transcription, la traduction, le métabolisme et la régulation en supercomplexes multifonctionnels stables, dans les mitochondries des champignons (ex Saccharomyces cerevisiae, Aspergillus nidulans et Neurospora crassa), des animaux (ex Bos taurus), des plantes (B. oleracea et Arabidopsis thaliana) et chez les bactéries (ex E. coli) à partir desquelles les mitochondries descendent. La composition de ces supercomplexes chez les champignons et les animaux est comparable à celle de levure, toutefois, chez les plantes et E. coli ils comportent des différences notables (ex, présence des enzymes spécifiques à la voie de biosynthèse des sucres et les léctines chez B. oleracea). Chez la levure, en accord avec les changements dûs à la répression catabolique du glucose, nos résultats révèlent que les supercomplexes sont dynamiques et que leur composition en protéines dépend des stimulis et de la régulation cellulaire. De plus, nous montrons que l’inactivation de la voie de biosynthèse des lipides de type II (FASII) perturbe l’assemblage et/ou la biogenèse du supercomplexe de la RNase P (responsable de la maturation en 5’ des précurseurs des ARNt), ce qui suggère que de multiples effets pléiotropiques peuvent être de nature structurale entre les protéines. Chez la levure et chez E. coli, nos études de la maturation in vitro des précurseurs des ARNt et de la protéomique révèlent l’association de la RNase P avec les enzymes de la maturation d’ARNt en 3’. En effet, la voie de maturation des pré-ARNt et des ARNr, et la dégradation des ARN mitochondriaux semblent êtres associées avec la machinerie de la traduction au sein d’un même supercomplexe multifonctionnel dans la mitochondrie de la levure. Chez E. coli, nous avons caractérisé un supercomplexe similaire qui inclut en plus de la RNase P: la PNPase, le complexe du RNA degradosome, l’ARN polymérase, quatre facteurs de transcription, neuf aminoacyl-tRNA synthétases, onze protéines ribosomiques, des chaperons et certaines protéines métaboliques. Ces résultats supposent l’association physique de la transcription, la voie de maturation et d’aminoacylation des ARNt, la dégradation des ARN. Le nombre de cas où les activités cellulaires sont fonctionnellement et structurellement associées est certainement à la hausse (ex, l’éditosome et le complexe de la glycolyse). En effet, l’organisation en supercomplexe multifonctionnel représente probablement l’unité fonctionnelle dans les cellules et les analyses de ces super-structures peuvent devenir la prochaine cible de la biologie structurale. / It is known that processes such as transcription, translation and intron splicing require a multitude of proteins (plus a few non-protein components) organized in large ‘molecular machines’. But, according to traditional views, processing of RNA precursors (e.g., tRNA and rRNA) and metabolic pathways are pools of individual enzymes (single proteins or small complexes), with sequential enzymatic reaction steps connected via diffusible metabolites. This perception is incompatible with the ‘molecular crowding’ in most cellular compartments (e.g., 60% in the mitochondrial matrix). It is also not in line with the cumulating indirect evidence from comprehensive studies of protein-protein interactions and affinity purification, showing that numerous protein complexes involving different metabolic and regulatory processes are interconnected. However, direct evidence of extensive cross-talk among diverse cellular processes remains to be clearly demonstrated. Here we show that in mitochondria of yeast and other fungi (Neurospora crassa and Rhizopus oryzae), animal (Bos taurus), plant (Brassica oleracea), and in E. coli (standing for the “bacterial ancestor” of mitochondria), metabolism is physically interlinked (in supercomplexes) with translation, replication, transcription and RNA processing. Further, the supercomplexes also contain a variety of helper proteins, in support of earlier reports that describe such proteins as important structural units assisting complex assembly. Whereas the composition of supercomplexes in fungi (e.g., Neurospora crassa), animals and yeast is relatively similar, plants and E. coli present substantial compositional differences (e.g., plant-specific enzymes involved in the biosynthesis of sugars and secondary metabolites). In yeast, the supercomplex pattern of glucose-repressed cells is completely different from that of cells grown on galactose/glycerol, and the protein composition perfectly correlates with known regulatory changes under glucose repression. The destabilization of the complex organization is also illustrated by the deletion of genes in the mitochondrial fatty acid type II biosynthetic pathway (mutant strain oar1Δ). Mutants have both, a defect in fatty acid synthesis and in 5’ processing of mitochondrial tRNA, and no longer have a supercomplex containing Oar1p and components of RNase P (5’ tRNA processing). The pleiotropic mutant phenotype is best explained by a structural (assembly) defect. Also in yeast mitochondria, we demonstrate that RNase P and tRNA Z activities are part of a large complex, which further includes the RNA degradosome complex, five additional RNA processing proteins, and several other mitochondrial pathways. 5’ and 3’ tRNA processing enzymes are also associated in a large, multifunctional supercomplex in E. coli that includes six out of the seven proteins of the RNA degradosome, nine aminoacyl-tRNA synthases, RNA polymerase plus four transcription factors, eleven ribosomal proteins plus four translation factors, several components of protein folding and maturation, and a small set of metabolic enzymes. Apparently, not only is RNA processing coordinated, but it is also structurally connected to aminoacylation, transcription and other cellular functions. The number of documented cases where functionally related activities are structurally integrated is definitely increasing (e.g., editosome, glycolysis complex, etc). Indeed, structural integration of related functions and pathways may turn out to be a principle and the analyses of such super-structures may become a next structural biology frontier.

The thesis involves computer simulation and theoretical studies of phase transition in soft-condensed matter systems and theoretical understanding of enzyme kinetics along with kinetic proofreading of tRNA-aminoacylation in biological systems. Based on the system and phenomena of interest, the work has be classified into the following four major parts: I. Surface phenomena and surface energy of vapor-liquid interface. II. Condensation of vapor in two and three dimensions. III. Liquid-solid phase transition in polydisperse systems. IV. Enzyme catalysis and kinetic proofreading in biosynthesis. Above mentioned four parts have further been divided into thirteen chapters. In the following we provide a brief chapter-wise outline of the thesis. Part I deals with surface tension and interfacial properties of vapor-liquid interface for Lennard-Jones (LJ) fluid in both two and three dimensions. In Chapter 1, we provide a brief overview of vapor-liquid interface and existing theoretical and computer simulation studies of surface/line tension. In this chapter we also discuss about the existing experimental studies. In Chapter 2, we present computer simulation studies of surface tension in two dimensional Lennard-Jones system. The sensitivity of line tension on range (potential cut-off) of interparticle interaction is discussed in this chapter. We present Density Functional Theory (DFT) of line tension of vapor-liquid interface based on Weeks-Chandler-Anderson (WCA) and Barker-Hendersen (BH) perturbation techniques. We compare the DFT prediction with the computer simulation results. In general, WCA approach has been found to be successful for 3D system in predicting the surface tension. In 2D, however, it does not give good agreement either for phase diagram or for the line tension. In fact, BH also does not give accurate values of the coexistence parameters, however, it predicts better line tension compared to WCA. In Chapter 3 we present both theoretical and computer simulation studies of gas-liquid surface tension for three dimensional Lennard-Jones fluid. We perform non-equilibrium computer simulation study following Transition Matrix Monte Carlo (TMMC) method to obtain surface tension for various ranges of potential and introduce a new scaling relation of surface tension in order to capture both the temperature and interparticle interaction range dependence. The scaling shows excellent agreement with the simulation result and it can also predict the critical temperature with sufficient accuracy. The width of the gas-liquid interface is found to be insensitive to the range of the potential, whereas the density separation of the bulk vapor and liquid phases increases with increasing range of potential. Thus, the major contribution comes from the increasing density separation of the bulk vapor and liquid phases. Part II consists of four chapters, where we focus on the age old problem of nucleation, from the perspective of thermodynamics and kinetics. We account for the rich history of the problem in the introductory Chapter 4. In this chapter we describe various types and examples of the nucleation phenomena, and a brief account of the major theoretical approaches used so far. We begin with the most successful Classical Nucleation Theory (CNT), and then move on to more recent applications of Density Functional Theory (DFT) and other mean-field types of models. We present various experimental techniques used in the literature to obtain rate of nucleation. We conclude with a comparison between the experiments, theories and computational studies. In the next chapter (Chapter 5) we attempt to understand the mechanism of the gas-liquid nucleation in three dimension at large metastability from microscopic point of view. Here we study the nature of sequential growth of all liquid-like clusters (not just the largest cluster) at different degrees of metastability. Therefore, we have ordered the clusters according to their decreasing sizes and identified them in terms of kth largest cluster where, k = 1 denotes the largest cluster in the system, k = 2 represents the second largest and k = 3 is the third largest and so on. We have studied both the free energies and the trajectories of the liquid-like clusters in this extended set of order parameters. We further define Fkl(n) as the free energy of the kth largest cluster with size n. Classical nucleation theory provides an expression of unconditional free energy of a single cluster, F (n) (the free energy of formation of a cluster of size n), which is an intensive property of the system. The study of our conditional free energy surfaces, Fkl(n), reveals a more detailed, microscopic picture of the system’s cluster size distribution that is necessary to understand the kinetics of nucleation and growth at large metastability. The rate of nucleation shows a cross over at kinetic spinodal (the limit of metastability, ∆F1 l = 0). Below kinetic spinodal only one (largest) cluster crosses the critical size through activation whereas above this point more than one cluster grow simultaneously through barrierless diffusion. We present a theoretical analysis of the free energy of kth largest cluster based on order statistics. The theoretical predictions are in excellent agreement with computer simulation results for the range of supersaturation we studied. While the previous chapter focuses on relatively well-studied nucleation mechanism in 3dimensional (3D) LJ system at large metastability, in Chapter 6 we present our studies on the characteristics of the nucleation phenomena in two dimensional Lennard-Jones fluid for different ranges of interparticle interaction. Using various Monte Carlo (MC) methods, we calculate the free energy barrier of nucleation and bulk densities of equilibrium liquid and vapor phases, and also investigate the size and shape of the critical nuclei. We find an interesting interplay between the range of interaction potential and the extent of metastability. The free energy barrier of nucleation strongly depends on the range of interaction potential. The study is carried out at an intermediate level of supersaturation (away from the kinetic spinodal limit). A surprisingly large cutoff (rc � 7.0�, where � is the diameter of LJ particles) in the truncation of the LJ potential is required to obtain converged results. A lower cutoff leads to a substantial deviation in the values of the nucleation barrier, and characteristics of the critical cluster (with respect to full range of interaction). We observe that in 2D system CNT fails to provide a reliable estimate of the free energy barrier. While it is known to slightly overestimate the nucleation barrier in 3D, it underestimates the barrier by � 50% at the saturation ratio S =1.1 (defined as S = P/Pc, where Pc is the coexistence pressure) and at the reduced temperature T � =0.427 (defined as T � = kBT/�, where � is the depth of the potential well). The reason for the marked inadequacy of the CNT in 2D can be attributed to the non-circular nature of the critical clusters. Although the shape becomes increasingly circular and the clusters become more compact with increase in cutoff radius, an appreciable non-circular nature remains even for full potential (without truncation) to make the predictions of CNT inaccurate. In Chapter 7 we report the computer simulation study of nucleation in three dimensional LJ system. At a fixed supersaturation the free energy barrier of nucleation increases with increasing range of interparticle interaction. On increasing range of intermolecular interaction, the kinetic spinodal where the mechanism of nucleation changes from activated barrier crossing to barrierless diffusion, shifts towards the deep metastable region. Both the critical cluster size and pre-critical minimum in the free energy surface of kth largest cluster shift towards the smaller size at their respective kinetic spinodal as we increase the range of potential. We find only a weak non-trivial (other than supersaturation and surface tension) contribution to the free energy barrier of nucleation. Part III consists of two chapters and focuses on the liquid-solid phase transition of polydisperse fluid. In Chapter 8 we introduce polydisperse systems and their classification based on different identities. We describe the importance and abundance of polydisperse system in nature. The theoretical modeling of different polydisperse systems and their extent of applicability have also been presented. We have discussed about the various factors which control the phase diagram and various phenomena related to the structure and phase transition. In Chapter 9 we present computer simulation study on freezing/melting of Lennard-Jones (LJ) fluid at different polydispersities. The freezing/melting of polydisperse LJ fluids presents an interesting case study, because, as the polydispersity increases the energy-entropy balance becomes increasingly unfavorable for the solid to exist as a stable phase. The energy of the solid increases due to build up of strain energy because of increasing mismatch in size of the neighbors, while the entropy of the liquid increases. These two factors lead to the existence of a terminal polydispersity. We find beyond the terminal ploydispersity, δ. 0.11system remains in the disorder state even at very high pressure and low temperature. The terminal polydispersity obtained in the present study is close to the experimental value (δt. ≈ 12%). Interestingly, contrary to hard sphere polydisperse fluid, LJ fluid does not exhibit reentrant melting. The last part (Part IV) of the thesis consists of three chapters that deal with the enzyme catalysis and kinetic proofreading of tRNA-aminoacyl synthetases. In Chapter 10 we describe protein synthesis process in biological system and corresponding two processes: aminoacylation of tRNA and translation of amino acid in ribosome. Our interest is to understand the enzyme catalysis involved in aminoacylation of tRNA in the process of protein synthesis. We present the classification of 20 aminoacyl-tRNA synthetases into two classes based on their structure and mode of binding to ATP and tRNA. We discuss all the steps involved in whole tRNA-aminoacylation process. Then we introduce kinetic proofreading during aminoacylation reaction. In Chapter 11 we theoretically analyze the single turn over and steady state reaction mechanism of two classes of aminoacyl-tRNA synthetases. Class I enzymes not only differ in their structure but they also differ with respect to the pre-steady kinetics compared to class II enzymes. We find that the strong binding of product to class I enzymes causes the product release step to be rate limiting step leading to the burst of product formation in pre-steady reaction. On the other hand class II enzymes do not show any burst kinetics. The present study based on time dependent probability statistics is successful in explaining all the experimental results quantitatively. In Chapter 12 we present an augmented kinetic scheme and then employ methods of time dependent probability statistics to understand the mechanism of kinetic proofreading of isoleucyl-tRNA synthetase (IRS) which belongs to class I. We investigate that the enhanced hydrolysis of wrong substrate (Val) enables IRS to discriminate the correct substrate (Ile) and wrong substrate (Val) efficiently. It has been observed that an extra CP1 editing domain serves as an activating domain towards enhanced hydrolysis of Val. The present study is able to explain most of the existing experimental observations. In the concluding note, Chapter 13 lists a few relevant problems that may prove worthwhile to be addressed in future. In the Appendices, we present two of the techniques used in our present computer simulation and theoretical studies. Appendix A describes Grand Canonical Transition Matrix Monte Carlo (GC-TMMC) method which is employed in computer simulation studies of nucleation and surface tension. In Appendix B we present the probabilistic method of waiting time distribution computation used in enzyme catalysis and kinetic proofreading.

Les processus mitochondriaux tels que la réplication et la traduction sont effectués par des complexes multiprotéiques. Par contre, le métabolisme et la voie de maturation des ARN mitochondriaux (p. ex précurseurs des ARNt et des ARNr) sont habituellement traités comme une suite de réactions catalysées par des protéines séparées. L’exécution fidèle et optimale de ces processus mitochondriaux, exige un couplage étroit nécessaire pour la canalisation des intermédiaires métaboliques. Or, les évidences en faveur de l'interconnexion postulée de ces processus cellulaires sont peu nombreuses et proviennent en grande partie des interactions protéine-protéine. Contrairement à la perception classique, nos résultats révèlent l’organisation des fonctions cellulaires telles que la transcription, la traduction, le métabolisme et la régulation en supercomplexes multifonctionnels stables, dans les mitochondries des champignons (ex Saccharomyces cerevisiae, Aspergillus nidulans et Neurospora crassa), des animaux (ex Bos taurus), des plantes (B. oleracea et Arabidopsis thaliana) et chez les bactéries (ex E. coli) à partir desquelles les mitochondries descendent. La composition de ces supercomplexes chez les champignons et les animaux est comparable à celle de levure, toutefois, chez les plantes et E. coli ils comportent des différences notables (ex, présence des enzymes spécifiques à la voie de biosynthèse des sucres et les léctines chez B. oleracea). Chez la levure, en accord avec les changements dûs à la répression catabolique du glucose, nos résultats révèlent que les supercomplexes sont dynamiques et que leur composition en protéines dépend des stimulis et de la régulation cellulaire. De plus, nous montrons que l’inactivation de la voie de biosynthèse des lipides de type II (FASII) perturbe l’assemblage et/ou la biogenèse du supercomplexe de la RNase P (responsable de la maturation en 5’ des précurseurs des ARNt), ce qui suggère que de multiples effets pléiotropiques peuvent être de nature structurale entre les protéines. Chez la levure et chez E. coli, nos études de la maturation in vitro des précurseurs des ARNt et de la protéomique révèlent l’association de la RNase P avec les enzymes de la maturation d’ARNt en 3’. En effet, la voie de maturation des pré-ARNt et des ARNr, et la dégradation des ARN mitochondriaux semblent êtres associées avec la machinerie de la traduction au sein d’un même supercomplexe multifonctionnel dans la mitochondrie de la levure. Chez E. coli, nous avons caractérisé un supercomplexe similaire qui inclut en plus de la RNase P: la PNPase, le complexe du RNA degradosome, l’ARN polymérase, quatre facteurs de transcription, neuf aminoacyl-tRNA synthétases, onze protéines ribosomiques, des chaperons et certaines protéines métaboliques. Ces résultats supposent l’association physique de la transcription, la voie de maturation et d’aminoacylation des ARNt, la dégradation des ARN. Le nombre de cas où les activités cellulaires sont fonctionnellement et structurellement associées est certainement à la hausse (ex, l’éditosome et le complexe de la glycolyse). En effet, l’organisation en supercomplexe multifonctionnel représente probablement l’unité fonctionnelle dans les cellules et les analyses de ces super-structures peuvent devenir la prochaine cible de la biologie structurale. / It is known that processes such as transcription, translation and intron splicing require a multitude of proteins (plus a few non-protein components) organized in large ‘molecular machines’. But, according to traditional views, processing of RNA precursors (e.g., tRNA and rRNA) and metabolic pathways are pools of individual enzymes (single proteins or small complexes), with sequential enzymatic reaction steps connected via diffusible metabolites. This perception is incompatible with the ‘molecular crowding’ in most cellular compartments (e.g., 60% in the mitochondrial matrix). It is also not in line with the cumulating indirect evidence from comprehensive studies of protein-protein interactions and affinity purification, showing that numerous protein complexes involving different metabolic and regulatory processes are interconnected. However, direct evidence of extensive cross-talk among diverse cellular processes remains to be clearly demonstrated. Here we show that in mitochondria of yeast and other fungi (Neurospora crassa and Rhizopus oryzae), animal (Bos taurus), plant (Brassica oleracea), and in E. coli (standing for the “bacterial ancestor” of mitochondria), metabolism is physically interlinked (in supercomplexes) with translation, replication, transcription and RNA processing. Further, the supercomplexes also contain a variety of helper proteins, in support of earlier reports that describe such proteins as important structural units assisting complex assembly. Whereas the composition of supercomplexes in fungi (e.g., Neurospora crassa), animals and yeast is relatively similar, plants and E. coli present substantial compositional differences (e.g., plant-specific enzymes involved in the biosynthesis of sugars and secondary metabolites). In yeast, the supercomplex pattern of glucose-repressed cells is completely different from that of cells grown on galactose/glycerol, and the protein composition perfectly correlates with known regulatory changes under glucose repression. The destabilization of the complex organization is also illustrated by the deletion of genes in the mitochondrial fatty acid type II biosynthetic pathway (mutant strain oar1Δ). Mutants have both, a defect in fatty acid synthesis and in 5’ processing of mitochondrial tRNA, and no longer have a supercomplex containing Oar1p and components of RNase P (5’ tRNA processing). The pleiotropic mutant phenotype is best explained by a structural (assembly) defect. Also in yeast mitochondria, we demonstrate that RNase P and tRNA Z activities are part of a large complex, which further includes the RNA degradosome complex, five additional RNA processing proteins, and several other mitochondrial pathways. 5’ and 3’ tRNA processing enzymes are also associated in a large, multifunctional supercomplex in E. coli that includes six out of the seven proteins of the RNA degradosome, nine aminoacyl-tRNA synthases, RNA polymerase plus four transcription factors, eleven ribosomal proteins plus four translation factors, several components of protein folding and maturation, and a small set of metabolic enzymes. Apparently, not only is RNA processing coordinated, but it is also structurally connected to aminoacylation, transcription and other cellular functions. The number of documented cases where functionally related activities are structurally integrated is definitely increasing (e.g., editosome, glycolysis complex, etc). Indeed, structural integration of related functions and pathways may turn out to be a principle and the analyses of such super-structures may become a next structural biology frontier.