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Luke Andrejek Dissertation.pdf (49.33 MB)

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Abstract Header

Mathematical Models Explaining Leaf Curling and Robustness via Adaxial-Abaxial Patterning in Arabidopsis

Andrejek, Luke Thomas
http://orcid.org/0000-0003-1107-2934
http://rave.ohiolink.edu/etdc/view?acc_num=osu1658421495140502

Abstract Details

2022, Doctor of Philosophy, Ohio State University, Mathematics.
Biology provides examples of complex systems whose mechanisms and properties allow organisms to develop in a highly reproducible, or robust, manner. One such system is the growth and development of leaves in Arabidopsis thaliana. The leaf development system results in thin but expansive leaves with remarkable consistency. This growth results from inputs such as gene interactions and the geometry, growth, and division of individual cells. We want to better understand how the genetic and cellular information controls leaf growth. Mathematical modeling provides tools to better understand complex biological systems. In the case of leaf growth, we can represent gene interactions and cell geometry mathematically to simulate leaf growth. We begin by constructing a one-dimensional model which describes the gene interactions in a single stationary vertical column of leaf cells. This model shows how gene interactions produce proper gene expression and identifies system components which contribute to robustness. We then expand to a two-dimensional model which describes the gene interactions in a two dimensional cross section of cells which grow and divide according to physical forces and genetic information. This model predicts the presence of an additional gene and explains how gene interactions cause perpetual cell growth and regulate leaf curling. It also predicts and explains the phenomenon that increasing levels of environmental noise preferentially result in downward curling, which we verify biologically. Together, these models help us understand the process of Arabidopsis leaf development.
Janet Best (Advisor)
Yulong Xing (Committee Member)
Adriana Dawes (Committee Member)
Aman Husbands (Committee Member)
126 p.
Mathematics
mathematical biology; computational biology; leaf development; robustness; patterning; sensitivity analysis

Recommended Citations

Citations

  • Andrejek, L. T. (2022). Mathematical Models Explaining Leaf Curling and Robustness via Adaxial-Abaxial Patterning in Arabidopsis [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1658421495140502

    APA Style (7th edition)

  • Andrejek, Luke. Mathematical Models Explaining Leaf Curling and Robustness via Adaxial-Abaxial Patterning in Arabidopsis. 2022. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1658421495140502.

    MLA Style (8th edition)

  • Andrejek, Luke. "Mathematical Models Explaining Leaf Curling and Robustness via Adaxial-Abaxial Patterning in Arabidopsis." Doctoral dissertation, Ohio State University, 2022. http://rave.ohiolink.edu/etdc/view?acc_num=osu1658421495140502

    Chicago Manual of Style (17th edition)

osu1658421495140502
245
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This open access ETD is published by The Ohio State University and OhioLINK.