Advances in chemical synthesis have enabled new lines of research with unnatural genetic polymers whose modified bases or sugar-phosphate backbones have potential therapeutic and biotechnological applications. Maximizing the potential of these synthetic genetic systems requires inventing new molecular biology tools that can both generate and faithfully replicate unnatural polymers of significant length. Threose nucleic acid (TNA) has received significant attention as a complete replication system has been developed by engineering natural polymerases to broaden their substrate specificity. The system, however, suffers from a high mutational load reducing its utility. This thesis will cover the development of two new polymerases capable of transcribing and reverse transcribing TNA polymers with high efficiency and fidelity. The polymerases are identified using a new strategy wherein gain-of-function mutations are sampled in homologous protein architectures leading to subtle optimization of protein function. The new replication system has a fidelity that supports the propagation of genetic information enabling in vitro selection of functional TNA molecules. TNA aptamers to human alpha-thrombin are identified and demonstrated to have superior stability compared to DNA and RNA in biologically relevant conditions. This is the first demonstration that functional TNA molecules have potential in biotechnology and molecular medicine.

Synthetic biology is a novel method that reengineers functional parts of natural genes of interest to build new biomolecular devices able to express as designed. There is increasing interest in synthetic biology due to wide potential applications in various fields such as clinics and fuel production. However, there are still many challenges in synthetic biology. For example, many natural biological processes are poorly understood, and these could be more thoroughly studied through model synthetic gene networks. Additionally, since synthetic biology applications may have numerous design constraints, more inducer systems should be developed to satisfy different requirements for genetic design.

This thesis covers two topics. First, I attempt to generate stochastic resonance (SR) in a biological system. Synthetic bistable systems were chosen because the inducer range in which they exhibit bistability can satisfy one of the three requirements of SR: a weak periodic force is unable to make the transition between states happen. I synthesized several different bistable systems, including toggle switches and self-activators, to select systems matching another requirement: the system has a clear threshold between the two energy states. Their bistability was verified and characterized. At the same time, I attempted to figure out the third requirement for SR – an effective noise serving as the stochastic force – through one of the most widespread toggles, the mutual inhibition toggle, in both yeast and E. coli. A mathematic model for SR was written and adjusted.

Secondly, I began work on designing a new genetic system capable of responding to pulsed magnetic fields. The operators responding to pulsed magnetic stimuli in the rpoH promoter were extracted and reorganized. Different versions of the rpoH promoter were generated and tested, and their varying responsiveness to magnetic fields was recorded. In order to improve efficiency and produce better operators, a directed evolution method was applied with the help of a CRISPR-dCas9 nicking system. The best performing promoters thus far show a five-fold difference in gene expression between trials with and without the magnetic field.

Recombinases are powerful tools for genome engineering and synthetic biology, however recombinases are limited by a lack of user-programmability and often require complex directed-evolution experiments to retarget specificity. Conversely, CRISPR systems have extreme versatility yet can induce off-target mutations and karyotypic destabilization. To address these constraints we developed an RNA-guided recombinase protein by fusing a hyperactive mutant resolvase from transposon TN3 to catalytically inactive Cas9. We validated recombinase-Cas9 (rCas9) function in model eukaryote Saccharomyces cerevisiae using a chromosomally integrated fluorescent reporter. Moreover, we demonstrated cooperative targeting by CRISPR RNAs at spacings of 22 or 40bps is necessary for directing recombination. Using PCR and Sanger sequencing, we confirmed rCas9 targets DNA recombination. With further development we envision rCas9 becoming useful in the development of RNA-programmed genetic circuitry as well as high-specificity genome engineering.

Synthetic biology is an emerging field which melds genetics, molecular biology, network theory, and mathematical systems to understand, build, and predict gene network behavior. As an engineering discipline, developing a mathematical understanding of the genetic circuits being studied is of fundamental importance. In this dissertation, mathematical concepts for understanding, predicting, and controlling gene transcriptional networks are presented and applied to two synthetic gene network contexts. First, this engineering approach is used to improve the function of the guide ribonucleic acid (gRNA)-targeted, dCas9-regulated transcriptional cascades through analysis and targeted modification of the RNA transcript. In so doing, a fluorescent guide RNA (fgRNA) is developed to more clearly observe gRNA dynamics and aid design. It is shown that through careful optimization, RNA Polymerase II (Pol II) driven gRNA transcripts can be strong enough to exhibit measurable cascading behavior, previously only shown in RNA Polymerase III (Pol III) circuits. Second, inherent gene expression noise is used to achieve precise fractional differentiation of a population. Mathematical methods are employed to predict and understand the observed behavior, and metrics for analyzing and quantifying similar differentiation kinetics are presented. Through careful mathematical analysis and simulation, coupled with experimental data, two methods for achieving ratio control are presented, with the optimal schema for any application being dependent on the noisiness of the system under study. Together, these studies push the boundaries of gene network control, with potential applications in stem cell differentiation, therapeutics, and bio-production.

Synthetic biology is constantly evolving as new ideas are incorporated into this increasingly flexible field. It incorporates the engineering of life with standard genetic parts and methods; new organisms with new genomes; expansion of life to include new components, capabilities, and chemistries; and even completely synthetic organisms that mimic life while being composed of non-living matter. We have introduced a new paradigm of synthetic biology that melds the methods of in vitro evolution with the goals and philosophy of synthetic biology. The Family B proteins represent the first de novo evolved natively folded proteins to be developed with increasingly powerful tools of molecular evolution. These proteins are folded and functional, composed of the 20 canonical amino acids, and in many ways resemble natural proteins. However, their evolutionary history is quite different from natural proteins, as it did not involve a cellular environment. In this study, we examine the properties of DX, one of the Family B proteins that have been evolutionarily optimized for folding stability. Described in chapter 2 is an investigation into the primitive catalytic properties of DX, which seems to have evolved a serendipitous ATPase activity in addition to its selected ATP binding activity. In chapters 3 and 4 we express the DX gene in E. coli cells and observe massive changes in cell morphology, biochemistry, and life cycle. Exposure to DX activates several defense systems in E. coli, including filamentation, cytoplasmic segregation, and reversion to a viable but non-culturable state. We examined these phenotypes in detail and present a model that accounts for how DX causes such a rearrangement of the cell.

The principle of Darwinian evolution has been applied in the laboratory to nucleic acid molecules since 1990, and led to the emergence of in vitro evolution technique. The methodology of in vitro evolution surveys a large number of different molecules simultaneously for a pre-defined chemical property, and enrich for molecules with the particular property. DNA and RNA sequences with versatile functions have been identified by in vitro selection experiments, but many basic questions remain to be answered about how these molecules achieve their functions. This dissertation first focuses on addressing a fundamental question regarding the molecular recognition properties of in vitro selected DNA sequences, namely whether negatively charged DNA sequences can be evolved to bind alkaline proteins with high specificity. We showed that DNA binders could be made, through carefully designed stringent in vitro selection, to discriminate different alkaline proteins. The focus of this dissertation is then shifted to in vitro evolution of an artificial genetic polymer called threose nucleic acid (TNA). TNA has been considered a potential RNA progenitor during early evolution of life on Earth. However, further experimental evidence to support TNA as a primordial genetic material is lacking. In this dissertation we demonstrated the capacity of TNA to form stable tertiary structure with specific ligand binding property, which suggests a possible role of TNA as a pre-RNA genetic polymer. Additionally, we discussed the challenges in in vitro evolution for TNA enzymes and developed the necessary methodology for future TNA enzyme evolution.

Clustered regularly interspace short palindromic repeats (CRISPR) and CRISPR associated (Cas) technologies have become integral to genome editing. Canonical CRISPR-Cas9 systems function as a ribonucleic acid (RNA)-guided nucleases. Single guide RNAs (sgRNA) can be easily designed to target Cas9’s nuclease activity towards protospacer deoxyribonucleic acid (DNA) sequences. The relatively ease and efficiency of CRISPR-Cas9 systems has enabled numerous technologies and DNA manipulations. Genome engineering in human cell lines is centered around the study of genetic contribution to disease phenotypes. However, canonical CRISPR-Cas9 systems are largely reliant on double stranded DNA breaks (DSBs). DSBs can induce unintended genomic changes including deletions and complex rearrangements. Likewise, DSBs can induce apoptosis and cell cycle arrest confounding applications of Cas9-based systems for disease modeling. Base editors are a novel class of nicking Cas9 engineered with a cytidine or adenosine deaminase. Base editors can install single letter DNA edits without DSBs. However, detecting single letter DNA edits is cumbersome, requiring onerous DNA isolation and sequencing, hampering experimental throughput. This document describes the creation of a fluorescent reporter system to detect Cytosine-to-Thymine (C-to-T) base editing. The fluorescent reporter utilizes an engineered blue fluorescent protein (BFP) that is converted to green fluorescent protein (GFP) upon targeted C-to-T conversion. The BFP-to-GFP conversion enables the creation of a strategy to isolate edited cell populations, termed Transient Reporter for Editing Enrichment (TREE). TREE increases the ease of optimizing base editor designs and assists in editing cell types recalcitrant to DNA editing. More recently, Prime editing has been demonstrated to introduce user defined DNA edits without the need for DSBs and donor DNA. Prime editing requires specialized prime editing guide RNAs (pegRNAs). pegRNAs are however difficult to manually design. This document describes the creation of a software tool: Prime Induced Nucleotide Engineering Creator of New Edits (PINE-CONE). PINE-CONE rapidly designs pegRNAs based off basic edit information and will assist with synthetic biology and biomedical research.

Currently in synthetic biology only the Las, Lux, and Rhl quorum sensing pathways have been adapted for broad engineering use. Quorum sensing allows a means of cell to cell communication in which a designated sender cell produces quorum sensing molecules that modify gene expression of a designated receiver cell. While useful, these three quorum sensing pathways exhibit a nontrivial level of crosstalk, hindering robust engineering and leading to unexpected effects in a given design. To address the lack of orthogonality among these three quorum sensing pathways, previous scientists have attempted to perform directed evolution on components of the quorum sensing pathway. While a powerful tool, directed evolution is limited by the subspace that is defined by the protein. For this reason, we take an evolutionary biology approach to identify new orthogonal quorum sensing networks and test these networks for cross-talk with currently-used networks. By charting characteristics of acyl homoserine lactone (AHL) molecules used across quorum sensing pathways in nature, we have identified favorable candidate pathways likely to display orthogonality. These include Aub, Bja, Bra, Cer, Esa, Las, Lux, Rhl, Rpa, and Sin, which we have begun constructing and testing. Our synthetic circuits express GFP in response to a quorum sensing molecule, allowing quantitative measurement of orthogonality between pairs. By determining orthogonal quorum sensing pairs, we hope to identify and adapt novel quorum sensing pathways for robust use in higher-order genetic circuits.

The ability to edit chromosomal regions is an important tool for the study of gene function and the ability to engineer synthetic gene networks. CRISPR-Cas systems, a bacterial RNA-guided immune system against foreign nucleic acids, have recently been engineered for a plethora of genome engineering and transcriptional regulation applications. Here we employ engineered variants of CRISPR systems in proof-of-principle experiments demonstrating the ability of CRISPR-Cas derived single-DNA-strand cutting enzymes (nickases) to direct host-cell genomic recombination. E.coli is generally regarded as a poorly recombinogenic host with double-stranded DNA breaks being highly lethal. However, CRISPR-guided nickase systems can be easily programmed to make very precise, non-lethal, incisions in genomic regions directing both single reporter gene and larger-scale recombination events deleting up to 36 genes. Genome integrated repetitive elements of variable sizes can be employed as sites for CRISPR induced recombination. We project that single-stranded based editing methodologies can be employed alongside preexisting genome engineering techniques to assist and expedite metabolic engineering and minimalized genome research.

Synthetic biology (SB) has become an important field of science focusing on designing and engineering new biological parts and systems, or re-designing existing biological systems for useful purposes. The dramatic growth of SB throughout the past two decades has not only provided us numerous achievements, but also brought us more timely and underexplored problems. In SB's entire history, mathematical modeling has always been an indispensable approach to predict the experimental outcomes, improve experimental design and obtain mechanism-understanding of the biological systems. \textit{Escherichia coli} (\textit{E. coli}) is one of the most important experimental platforms, its growth dynamics is the major research objective in this dissertation. Chapter 2 employs a reaction-diffusion model to predict the \textit{E. coli} colony growth on a semi-solid agar plate under multiple controls. In that chapter, a density-dependent diffusion model with non-monotonic growth to capture the colony's non-linear growth profile is introduced. Findings of the new model to experimental data are compared and contrasted with those from other proposed models. In addition, the cross-sectional profile of the colony are computed and compared with experimental data. \textit{E. coli} colony is also used to perform spatial patterns driven by designed gene circuits. In Chapter 3, a gene circuit (MINPAC) and its corresponding pattern formation results are presented. Specifically, a series of partial differential equation (PDE) models are developed to describe the pattern formation driven by the MINPAC circuit. Model simulations of the patterns based on different experimental conditions and numerical analysis of the models to obtain a deeper understanding of the mechanisms are performed and discussed. Mathematical analysis of the simplified models, including traveling wave analysis and local stability analysis, is also presented and used to explore the control strategies of the pattern formation. The interaction between the gene circuit and the host \textit{E. coli} may be crucial and even greatly affect the experimental outcomes. Chapter 4 focuses on the growth feedback between the circuit and the host cell under different nutrient conditions. Two ordinary differential equation (ODE) models are developed to describe such feedback with nutrient variation. Preliminary results on data fitting using both two models and the model dynamical analysis are included.