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Modeling Pollen Aperture Formation with the Gierer-Meinhardt Model

Plourde, Shayne M
http://rave.ohiolink.edu/etdc/view?acc_num=osu1492723451470693

Abstract Details

2017, Master of Mathematical Sciences, Ohio State University, Mathematics.
Cells rely on extracellular materials and structures to control shape, size, and motility. The process with which these extracellular materials are produced and deposited is not well understood. Pollen is a compelling model for studying the process by which cells form these extracellular materials because pollen forms a hard cell wall with uniformly spaced openings called apertures. Arabidopsis thaliana, along with many other pollen species, is characterized by three equatorial apertures. This thesis proposes using Turing type dynamics, specifically a Gierer-Meinhardt model, to model the positioning and number of apertures. The model is able to recreate the wild type patterning of three equally spaced equatorial apertures but lacks the elongation of apertures seen in Arabidopsis. The model predicts aperture number may be influenced by cell size alone, a change in kinetics, or the points of last contact between pollen microspores.
Adriana Dawes (Advisor)
Anna Dobritsa (Advisor)
41 p.
Biology; Mathematics
pollen; mathematics; biology; patterning; differential equations; modeling

Recommended Citations

Citations

  • Plourde, S. M. (2017). Modeling Pollen Aperture Formation with the Gierer-Meinhardt Model [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492723451470693

    APA Style (7th edition)

  • Plourde, Shayne. Modeling Pollen Aperture Formation with the Gierer-Meinhardt Model. 2017. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1492723451470693.

    MLA Style (8th edition)

  • Plourde, Shayne. "Modeling Pollen Aperture Formation with the Gierer-Meinhardt Model." Master's thesis, Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492723451470693

    Chicago Manual of Style (17th edition)

osu1492723451470693
388
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This open access ETD is published by The Ohio State University and OhioLINK.