The ultimate goal of my thesis is to develop a better understanding of the contribution of indirect benefits (i.e. good genes) to the evolution of female mate preferences. It is genetic variance in, and genetic correlations (covariances) among, male sexual displays, female preferences for them, and fitness that in part determine the degree to which females preferring certain male displays over others will gain an indirect benefit by having higher fitness offspring. Recent advances in quantitative genetic theory provide the mathematical means for quantifying the strength of indirect selection for female mate preferences (Kirkpatrick and Hall 2004), at least under certain conditions, but there are few empirical systems for which such data exist (Brooks and Endler 2001; Qvarnström et al. 2006). I have undertaken a classic half-sibling breeding design with the ultimate goal of estimating the specific parameters of this model in a population of the Australian fruit fly Drosophila serrata. The breeding design was performed across two environments - one to which the population was well adapted and a novel environment to which it was not - thereby also providing insight into genotype-by-environment interactions for this suite of traits and their effects on good genes indirect benefits in a novel environment. General insight is also gained into the genetic covariance of male and female fitness and the prevalence of intralocus sexual conflict, the quantitative genetic basis of female mate preferences for multiple male traits, the condition-dependence of these traits, and the genetic association between sexual displays and fitness when mutation-selection balance is inferred. My results advocate caution in the application of existing theory to quantify the strength of indirect selection, suggesting that a good genes process may be fundamentally different when the exaggeration of sexual displays is eventually halted and an equilibrium is reached between opposing selection.

The ultimate goal of my thesis is to develop a better understanding of the contribution of indirect benefits (i.e. good genes) to the evolution of female mate preferences. It is genetic variance in, and genetic correlations (covariances) among, male sexual displays, female preferences for them, and fitness that in part determine the degree to which females preferring certain male displays over others will gain an indirect benefit by having higher fitness offspring. Recent advances in quantitative genetic theory provide the mathematical means for quantifying the strength of indirect selection for female mate preferences (Kirkpatrick and Hall 2004), at least under certain conditions, but there are few empirical systems for which such data exist (Brooks and Endler 2001; Qvarnström et al. 2006). I have undertaken a classic half-sibling breeding design with the ultimate goal of estimating the specific parameters of this model in a population of the Australian fruit fly Drosophila serrata. The breeding design was performed across two environments - one to which the population was well adapted and a novel environment to which it was not - thereby also providing insight into genotype-by-environment interactions for this suite of traits and their effects on good genes indirect benefits in a novel environment. General insight is also gained into the genetic covariance of male and female fitness and the prevalence of intralocus sexual conflict, the quantitative genetic basis of female mate preferences for multiple male traits, the condition-dependence of these traits, and the genetic association between sexual displays and fitness when mutation-selection balance is inferred. My results advocate caution in the application of existing theory to quantify the strength of indirect selection, suggesting that a good genes process may be fundamentally different when the exaggeration of sexual displays is eventually halted and an equilibrium is reached between opposing selection.

The ultimate goal of my thesis is to develop a better understanding of the contribution of indirect benefits (i.e. good genes) to the evolution of female mate preferences. It is genetic variance in, and genetic correlations (covariances) among, male sexual displays, female preferences for them, and fitness that in part determine the degree to which females preferring certain male displays over others will gain an indirect benefit by having higher fitness offspring. Recent advances in quantitative genetic theory provide the mathematical means for quantifying the strength of indirect selection for female mate preferences (Kirkpatrick and Hall 2004), at least under certain conditions, but there are few empirical systems for which such data exist (Brooks and Endler 2001; Qvarnström et al. 2006). I have undertaken a classic half-sibling breeding design with the ultimate goal of estimating the specific parameters of this model in a population of the Australian fruit fly Drosophila serrata. The breeding design was performed across two environments - one to which the population was well adapted and a novel environment to which it was not - thereby also providing insight into genotype-by-environment interactions for this suite of traits and their effects on good genes indirect benefits in a novel environment. General insight is also gained into the genetic covariance of male and female fitness and the prevalence of intralocus sexual conflict, the quantitative genetic basis of female mate preferences for multiple male traits, the condition-dependence of these traits, and the genetic association between sexual displays and fitness when mutation-selection balance is inferred. My results advocate caution in the application of existing theory to quantify the strength of indirect selection, suggesting that a good genes process may be fundamentally different when the exaggeration of sexual displays is eventually halted and an equilibrium is reached between opposing selection.

Game theory has become very powerful tool for modelling decision-making situations of rational players. However, practical applications are strongly limited by the size of particular game, which is connected to the computational power of computers nowadays. Aim of this master's thesis is to design and implement a library, which would be able to find correlated equilibria in as complex non-cooperative games as possible.

Synopsis My research work is focused on: (i) development of novel Fast NMR methods in solution state and their application to metabolomics and small molecules. (ii) NMR based metabolic study of human IVF to assess embryo viability for implantation. The major components of the embryo growth media were identified for evaluating the embryo quality. Described below are the projects carried out towards the dissertation of my PhD. Chapter 1 describes NMR methods which are the foundation stones for new Fast NMR methods developed. Typical 1D and 2D NMR experiments used in metabolomics and statistical methods for analysis are described. A few applications of metabolomics are also covered in the chapter. Chapter 2 describes a new Fast NMR method based on polarization sharing and parallel acquisition using the dual receiver system. The method developed helps in acquiring simultaneously three 2D NMR spectra: 2D [13C-1H] HETCOR, 2D [1H-1H] TOCSY and 2D [13C-1H] HSQC-TOCSY in a single data set. This method achieves a time saving of about two fold. All the experiments are acquired on molecules with natural abundance of 13C. The method was used to assign the side chain atoms (1H and 13C) of two important peptides. i) 12 amino acid residue peptide, which is a part of central linker domain of Human Insulin like Growth Factor Binding Protein-2 known to play a vital role in the IGF system and ii) a 18 amino acid residue peptide which acts as an antimicrobial agent. Chapter 3 describes extension of the Fast NMR method described in chapter 2. The method is combined with G-matrix Fourier Transform NMR spectroscopy. In this method we have acquire simultaneously two 2D NMR experiments and one reduced dimensional 3D experiment. The three experiments are 2D [13C-1H] HETCOR, 2D [1H-1H] TOCSY and GFT (3,2)D [13C-1H] HSQC-TOCSY, which provide complementary information for rapid assignments. GFT (3,2)D [13C-1H] HSQC-TOCSY gives 3D correlations in a 2D manner facilitating high resolution and unambiguous assignments. The experiments were applied for complete assignment of 21 unlabeled metabolite mixtures corresponding to the Innovative Sequential medium (ISM1) used for culturing human embryos for IVF. Further, a 13C multiplicity edition block is added to the method to simplify the resonances assignment in GFT (3,2)D [13C-1H] HSQC-TOCSY. Taken together, experiments provide time gain of order of magnitudes compared to conventional data acquisition. Chapter 4 of the thesis describes a metabolomics study of Human in-vitro fertilization to assess viable embryos of implantation potential using NMR as non-invasive tool. NMR study included the analysis of 127 embryo culture media (Innovative Sequential Media-1) and 29 controls (culture media without embryo) of both day-2 and day-3 transferred. The embryos were divided into 3 categories 1) implanted (successful) 2) transferred not-implanted (unsuccessful) 3) not transferred based on morphological studies. All NMR experiments were acquired with CPMG (T2 filter) incorporated in 1D 1H presaturation pulse scheme. The study was based on estimation of lactate, pyruvate and alanine levels in the embryo culture media (ISM1). The study reveals higher uptake of pyruvate and high pyruvate/alanine ratios in case of implanted embryos compared to one which failed to implant. Present study provides pyruvate/alanine ratio as a biomarker to select the embryos with high implantation potential. The method combined with morphology based assessment or with other biomarkers can be serve as a powerful tool to assess the embryo quality. Chapter 5 describes a novel NMR method for rapid characterization of translation diffusion of molecules in solution either in mixture or pure form. Unlike acquisition of several 2D [13C-1H] HSQC experiments with varying gradients to get diffusion measurement, a single 2D [13C-1H] HSQC is sufficient to measure the diffusion coefficients which is in the linewidths of peaks. The method uses the idea of accordion NMR spectroscopy, wherein gradients are linearly co-incremented with 13C chemical shift evolution period during t1. The methodology speeds up the acquisition by replacing series of 2D [13C-1H] HSQC with single 2D constant time [13C-1H] HSQC. The method was used to monitor the diffusion of metabolites in a time-resolved manner during polymerization of SDS-PAGE gel. Using this method, it was possible to detect the presence of oligomers of diphenylalanine (FF) during its self assembly to form nanotubular structures.

My research work for PhD has focused on: (i) the development and application of new NMR methodologies to solve challenging problems in structural biology and (ii) studying important biological systems to correlate their structural and functional aspects. I have worked on diverse research projects ranging from NMR methodology development to the study of structure and dynamics of protein-based nanotubes. Chapter 1 of my thesis gives brief introduction to bio-molecular NMR spectroscopy and the different biological systems that I have studied. In recent years, several new methods have emerged for rapid NMR data collection. One class of methods is G-matrix Fourier transform (GFT) projection NMR spectroscopy. GFT NMR spectroscopy involves phase sensitive joint sampling of two or more chemical shifts in an indirect dimension of a multidimensional NMR experiment. Chapter 2 describes a new method based on the principle of GFT NMR for increasing further the speed of data collection. In the current implementations of the GFT method, cosine/sine modulation of all chemical shifts involved in the joint sampling are collected and stored as separate FIDs. A post-acquisition data processing step (application of G-matrix) then separates the different inter-modulations of chemical shifts. Thus, joint sampling of K+1 spins results in 2K combination of chemical shifts (also representing 2K projection angles). One limitation of this approach is that even if only a few of the 2K components of the multiplet (or projection angles) is desired, an entire data set containing information for all 2K shift combinations is collected. We have proposed a simple method which releases this restriction and allows one to selectively detect only the desired linear combination of chemical shifts/projection angles out of 2K combinations in a phase sensitive manner. The method involves selecting the appropriate cosine/sine modulations of chemical shifts and forming the desired linear combination by phase cycling of the radiofrequency pulses and receiver. This will benefit applications where only certain linear combination of shifts are desired or/and are sufficient. Further, G-matrix transformation required for forming the linear combination is performed within the pulse sequence. This avoids the need for any post-acquisition data processing. Taken together, this mode of data acquisition will foster new applications in projection NMR spectroscopy for rapid resonance assignment and structure determination. Chapter 3 describes another GFT NMR-based method for rapid estimation of secondary structure in proteins. This involves the detection of specific linear combination of backbone chemical shifts and facilitates a clear separation and estimation of residues in different secondary structures of a given protein. This methodology named as CSSI-PRO (Combination of Shifts for Secondary structure Identification in PROteins), involves detection of specific linear combination of backbone 1Hα and 13C’ chemical shifts in a two dimensional (2D) NMR experiment. Such linear combination of shifts facilitates editing of residue belonging to α-helical/ β-strand regions into distinct spectral regions nearly independent of the amino acid type. This helps in the estimation of overall secondary structure content of the protein. Comparison of the estimated secondary structure content with those obtained from the respective 3D structures and/or the method of Chemical Shift Index (CSI) was carried out for 254 proteins and gives a correlation of more than 90% and an overall RMSD of 6.5%. The method has high sensitivity and data can be acquired in a few minutes. This methodology has several applications such as for high-throughput screening of proteins in structural proteomics and for monitoring conformational changes during protein folding and/or ligand-binding events. Chapter 4 (Part-A and Part-B) describes an area of my research which involves the study of structure and function in the Insulin-like Growth Factor Binding Protein (IGFBP) family. IGFBPs (six in number; IGFBP1-6) belong to the IGF-system, which plays an important role in growth and development of the human body. This system is comprised of the following components: (i) Two peptide hormones, IGF-1 and -2, (ii) type 1 and type 2 IGF receptors, (iii) six IGF-binding proteins (IGFBP; numbered 1-6) and (iv) IGFBP proteases. IGF-1 and -2 are small signalling peptides (~7.5 kDa) that stimulate action by binding to specific cell surface receptors (IGF-1R) evoking subsequent response inside the cell. Six soluble IGF binding proteins, the IGFBPs, which range in 22-31 kDa in size and share overall sequence and structural homology with each other, regulate the activity of the IGFs. IGFBPs bind strongly to IGFs (KD ~ 300-700 pM) to ensure that all the circulating IGF in the blood stream is sequestered and inhibit the action of IGFs by blocking their access to the receptors. Proteolysis of the IGFBPs dissociates IGFs from the complex, enabling them to bind and activate the cell surface receptors. IGFBPs have been recently implicated in different cancers and HIV/AIDS. However, the nature of their interaction with the ligand: IGF-1 or IGF-2 at a molecular level poorly understood. This is due to the difficulty in over-expressing these proteins in large scale and in soluble amounts which is required for structural studies. We have for the first time developed an efficient method for bacterial expression of full-length human IGFBP-2, a 33 kDa system, in soluble (upto 30 mg/ml) and folded form. Using a single step purification protocol, hIGFBP-2 was obtained with >95% purity and structurally characterized using NMR spectroscopy. The protein was found to exist as a monomer at the high concentrations required for structural studies and to exist in a single conformation exhibiting a unique intra-molecular disulfide-bonding pattern. The protein retained full biologic activity as evident from its strong binding to IGF-1 and IGF-2 detected using surface plasmon resonance (SPR). This study represents the first high-yield expression of wild-type recombinant human IGFBP-2 in E. coli and first structural characterization by NMR. Using different NMR methods, we are now in the process of elucidating the 3D structure of this molecule. Chapter 5 (Part-A and Part-B) describes our discovery of nanotubular structures formed by spontaneous self-assembly of a small fragment from the C-terminal domain of hIGFBP-2. The nanotubular structures are several micrometers long and have a uniform outer diameter of ~35 nm. These structures were studied extensively by NMR and other techniques such as TEM, fluorescence and circular dichroism (CD). The water soluble nanotubes form through intermolecular disulphide bonds due to the presence of three cysteines in the polypeptide chain and exhibit enhanced tyrosine fluorescence. Based on different experimental evidences we have proposed a mechanism for the formation of the nanotubes. This was considered as a breakthrough by the journal ChemComm and featured on the cover-page of the journal. An article highlighting the discovery was also published in RSC news. In recent years, a number of novel polypeptide and DNA based nanotubes have been reported. Our study reveals intrinsically fluorescent self-assembling nanotubes made up of disulphide bonds having the following novel properties: (i) their formation/dissociation can be controlled by tuning the redox conditions, (ii) they do not require the support of any additional chemical agent for self-assembly, (iii) they have high stability due to the involvement of covalent interactions, (iv) the monomer is a small polypeptide chain which can be chemically synthesized or produced using simple recombinant methods and (v) they possess high inherent fluorescence and can thus be easily detected against a background of other proteins. In addition, the presence of an RGD motif in this polypeptide fragment offers avenues for novel biomedical applications. The RGD motif is known to be recognized by integrins. The design of such self-assembling polypeptide fragments containing an RGD motif can be utilized to enhance the efficacy of cancer therapeutics. Towards this end, we have investigated the structural basis of formation of these nanotubular structures by NMR spectroscopy and proposed its application for cancer cell imaging.