Thesis advisor: Udayan Mohanty / The stabilization of particular conformations of protein and nucleic acid structure is believed to play an important role in many important biological functions. In chapter one, the α -helical conformation and structural stability of single and double stapled all- hydrocarbon cross-linked p53 peptides when bound and unbound to MDM2 are investigated. Our study provides a comprehensive rationalization of the relationship between peptide stapling strategy, the secondary structural stability, and the binding affinity of p53-MDM2 complex. In chapter two, we study counterion-mediated collapse of a strongly charged model polyelectrolyte chain by Group-II divalent metal cations using coarse-grained Brownian dynamics simulations. Polyelectrolyte effects govern the association of counterions with the chain. Large ions are less effective in counterion condensation than small ions. However, upon counterion condensation, the reduction of the backbone charge is independent of size of the metal cations. Above a threshold value of Coulomb strength parameter, counterion release entropy drives the formation of counterion-induced compact states. In chapter three, the nature of surface tension in the random first order theory of supercooled liquid is analyzed within the framework of Landau-Lifshitz fluctuation theory. We show that the surface tension of a droplet satisfies the differential equation 4πr2(dσ)+ 8πrσ(r)− Br1/2 = 0 , where B/ T = 12πkBcv , T is temperature, kB is dr Boltzmann constant, and cv is heat capacity. A consequence is that the slope of the relaxation time at the glass transition temperature, i.e., the fragility index, is expressed as the square of the ratio of heat capacity and configurational entropy of the supercooled liquid. When backbone extended nucleosides are incorporated into a double helix, a unique helical structure is formed. In chapter four, we find that the predicted stability of modified backbone DNA strands in aqueous solution is in good agreement with experimental melting temperature data. The incorporation of extended backbone nucleosides into a duplex results in elongation of the end-to-end chain distance due to the distortion of the B-DNA conformation at the mutated base-pair insertion. We also find that the modified backbone helical twist is approximately 40 degrees, larger than B-DNA helical twist and closer to the twist angle predicted for D-form DNA. The folding of RNA tertiary structure has been described as an equilibrium between partially folded I (intermediate) states, and the fully folded native conformation, or N state. RNA is highly sensitive to the ionic environment due to its negative charge, and tertiary structures tend to be strongly stabilized by Mg2+. There is a need for models capable of describing the ion atmosphere surrounding RNA with quantitative accuracy. In chapter 5, we present a generalized Manning condensation model of RNA electrostatics for studying the Mg2+-induced RNA folding of the 58mer ribosomal fragment. / Thesis (PhD) — Boston College, 2016. / Submitted to: Boston College. Graduate School of Arts and Sciences. / Discipline: Chemistry.