abstract: Patients suffering from Retinitis Pigmentosa (RP), the most common type of inherited retinal degeneration, experience irreversible vision loss due to photoreceptor degeneration. The preservation of cone photoreceptors has been deemed medically relevant as a therapy aimed at preventing blindness in patients with RP. Cones rely on aerobic glycolysis to supply the metabolites necessary for outer segment (OS) renewal and maintenance. The rod-derived cone viability factor (RdCVF), a protein secreted by the rod photoreceptors that preserves the cones, accelerates the flow of glucose into the cone cell stimulating aerobic glycolysis. This dissertation presents and analyzes ordinary differential equation (ODE) models of cellular and molecular level photoreceptor interactions in health and disease to examine mechanisms leading to blindness in patients with RP. First, a mathematical model composed of four ODEs is formulated to investigate the progression of RP, accounting for the new understanding of RdCVF’s role in enhancing cone survival. A mathematical analysis is performed, and stability and bifurcation analyses are used to explore various pathways to blindness. Experimental data are used for parameter estimation and model validation. The numerical results are framed in terms of four stages in the progression of RP. Sensitivity analysis is used to determine mechanisms that have a significant affect on the cones at each stage of RP. Utilizing a non-dimensional form of the RP model, a numerical bifurcation analysis via MATCONT revealed the existence of stable limit cycles at two stages of RP. Next, a novel eleven dimensional ODE model of molecular and cellular level interactions is described. The subsequent analysis is used to uncover mechanisms that affect cone photoreceptor functionality and vitality. Preliminary simulations show the existence of oscillatory behavior which is anticipated when all processes are functioning properly. Additional simulations are carried out to explore the impact of a reduction in the concentration of RdCVF coupled with disruption in the metabolism associated with cone OS shedding, and confirms cone-on-rod reliance. The simulation results are compared with experimental data. Finally, four cases are considered, and a sensitivity analysis is performed to reveal mechanisms that significantly impact the cones in each case. / Dissertation/Thesis / Doctoral Dissertation Applied Mathematics 2020

京都大学 / 0048 / 新制・課程博士 / 博士(医学) / 甲第21954号 / 医博第4496号 / 新制||医||1037(附属図書館) / 京都大学大学院医学研究科医学専攻 / (主査)教授 渡邉 大, 教授 伊佐 正, 教授 椛島 健治 / 学位規則第4条第1項該当 / Doctor of Medical Science / Kyoto University / DFAM

京都大学 / 0048 / 新制・課程博士 / 博士(医科学) / 甲第18904号 / 医科博第60号 / 新制||医科||4(附属図書館) / 31855 / 京都大学大学院医学研究科医科学専攻 / (主査)教授 小柳 義夫, 教授 吉村 長久, 教授 髙橋 淳 / 学位規則第4条第1項該当 / Doctor of Medical Science / Kyoto University / DFAM

京都大学 / 0048 / 新制・課程博士 / 博士(医学) / 甲第20994号 / 医博第4340号 / 新制||医||1027(附属図書館) / 京都大学大学院医学研究科医学専攻 / (主査)教授 鈴木 茂彦, 教授 伊佐 正, 教授 大森 孝一 / 学位規則第4条第1項該当 / Doctor of Medical Science / Kyoto University / DFAM

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The development of the vertebrate eye is tightly controlled by precise genetic regulations. From a single ocular primordium to bilateral eyes with complex structures and cell types, it requires intensive proliferation and migration for cells in both the ectoderm and mesoderm to accomplish ocular morphogenesis, and during this process cell differentiation and interaction takes place to establish the complex composition of ocular cell types and cellular connections. Genetic defects can lead to severe abnormalities in eye morphogenesis and cell differentiation during ocular development. A tremendous amount of work has been done to identify both intrinsic and extrinsic factors that regulate ocular development. However, much more work is needed to fully understand this complex process. Sox4 is known as a transcription activator that regulates cell survival and differentiation in multiple embryonic tissues during development. Evidence of its requirement during ocular development has recently emerged, but the mechanism by which Sox4 regulates ocular development is far from elucidated. Chapter 1 of this dissertation provides an overview of different stages in embryonic eye development and known genetic interactions during each stage. It also reviews recent knowledge about SoxC proteins and their roles in ocular development. Chapter 2 presents data characterizing the expression profile of the zebrafish sox4 co-orthologs, sox4a and sox4b, in the developing eye. Additionally, it presents data from morpholino-mediated sox4 knockdown in zebrafish, which indicate that Sox4 deficiency leads to defects in choroid fissure closure through elevation in the Hedgehog (Hh) signaling pathway. Sox4 knockdown causes upregulation of the Hh ligand indian hedgehog b (ihhb), which alters the proximal-distal boundary of the optic vesicle and inhibits choroid fissure closure. Chapter 3 presents data reporting the generation of sox4 mutant zebrafish lines using the CRISPR/Cas9 genome editing system. Characterization of one sox4a maternal zygotic (MZ) mutant line confirms Sox4’s role in negative regulation of Hh signaling and reveals new evidence that maternal and zygotic sox4 are both critical for ocular development. Chapter 4 presents data demonstrating that sox4 is required for rod photoreceptor neurogenesis. Rod photoreceptor terminal differentiation is delayed in both sox4 morphants and sox4 CRISPR mutants, while rod progenitor and precursor cells are properly specified. In Chapter 5, the roles of Sox4 in regulating ocular development are summarized based on the results, and implications of the results are discussed to expand our understanding of the genetic regulation of ocular morphogenesis and retinal neurogenesis.