Proteins are the machines of living systems that carry out a diverse set of essential biochemical functions. Furthermore, the diversity of their functions has grown overtime via molecular evolution. This thesis aims to explore fundamental questions in protein science regarding the mechanisms of protein evolution particularly addressing how substitutions in sequence modulate function through structure and structural dynamics. In the work presented here, the first goal is to develop a set of tools which connect the sequence-structure relationship which are implemented in two major projects of protein structural refinement and protein structural design. Both of these two works highlight the importance of capturing important pairwise interactions within a given protein system.The second major goal of this work is to understand how sequence and structural dynamics give rise to protein function, and, importantly, how Nature can utilize allostery to evolve towards a new function. Here I employ several in-house and novel computational tools to shed light onto the mechanisms of allostery, and, particularly dynamic allostery in the absence of structural rearrangements. This analysis is applied to several different protein systems including Pin1, LacI, CoV-1 and CoV-2 and TEM-1. I show that the dynamics of protein systems may be altered fundamentally by distal perturbations such as ligand binding or point mutations. These peturbations lead to change in local interactions which cascade within the 3-D network of interaction of a protein and give rise to flexibility changes of distal sites, particularly those of functional/active residues positions thereby altering the protein function. This networking picture of the protein is further explored through asymmetric dynamic coupling which shows to be a marker of allosteric interactions between distal residue pairs. Within the networking picture, the concept of sequence context dependence upon mutation becomes critical in understanding the functional outcome of these mutations. Here I design a computational tool, EpiScore, which is able to capture these effects and correlate them to measured experimental epistasis in two protein systems, dihydrofolate reductase (DHFR) and TEM-1. Ultimately, the work provided in this thesis shows that both allostery and epistasis may be considered, and accurately modeled, as intrinsic properties of anisotropic networks.

Nanosphere lithography is a high throughput procedure that has important implications
for facile, low cost scaling of nanostructures. However, current benchtop experiments have
limitations based on the placement of molecular species that exhibit greater than singlemolecular binding. In addition, reliance upon bottom-up self-assembly of close-packed
nanospheres makes it problematic to resolve images using low-cost light microscopes due to the
spacing limitations smaller in magnitude than light wavelength. One method that is created to
resolve this issue is iterative size reduction (ISR), where repetitive ‘iterative’ processes are
employed in order to increase the precision at which single molecules bind to a given substrate.
ISR enables inherent separation of nanospheres and therefore any subsequent single molecule
binding platforms. In addition, ISR targets and encourages single-molecule binding by
systematically reducing binding site size. Results obtained pursuing iteratively reduced
nanostructures showed that many factors are needed to be taken into consideration, including
functionalization of nanosphere particles, zeta potential, and protonation-buffer reactions.
Modalities used for observation of nanoscale patterning and single-molecule binding included
atomic force microscopy (AFM) and ONI super-resolution and fluorescence microscopy. ISR
was also used in conjunction with zero mode waveguides, which are nanoapertures enabling realtime single molecule observation at zeptoliter volumes. Although current limitations and
obstacles still exist with reproducibility and scalability of ISR, it nonetheless exhibits limitless
potential and flexibility in nanotechnology applications.