A Vertex Network Model of Arabidopsis Leaf Growth

doi:10.1007/s42967-023-00265-x

Communications on Applied Mathematics and Computation ›› 2024, Vol. 6 ›› Issue (1): 454-488.doi: 10.1007/s42967-023-00265-x

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A Vertex Network Model of Arabidopsis Leaf Growth

Luke Andrejek¹, Janet Best¹, Ching-Shan Chou¹, Aman Husbands²

1. Department of Mathematics, The Ohio State University, Columbus, OH, USA;
2. Department of Biology, The University of Pennsylvania, Philadelphia, PA, USA

收稿日期:2022-07-25 修回日期:2022-12-13 发布日期:2024-04-16
通讯作者: Aman Husbands,E-mail:ayh@upenn.edu E-mail:ayh@upenn.edu
基金资助:
This work was supported by the NSF #2039489 to A.Y.H and the NSF #1813071 to C.-S.C.

A Vertex Network Model of Arabidopsis Leaf Growth

Luke Andrejek¹, Janet Best¹, Ching-Shan Chou¹, Aman Husbands²

1. Department of Mathematics, The Ohio State University, Columbus, OH, USA;
2. Department of Biology, The University of Pennsylvania, Philadelphia, PA, USA

Received:2022-07-25 Revised:2022-12-13 Published:2024-04-16
Contact: Aman Husbands,E-mail:ayh@upenn.edu E-mail:ayh@upenn.edu
Supported by:
This work was supported by the NSF #2039489 to A.Y.H and the NSF #1813071 to C.-S.C.

摘要/Abstract

摘要： Biology provides many examples of complex systems whose properties allow organisms to develop in a highly reproducible, or robust, manner. One such system is the growth and development of flat leaves in Arabidopsis thaliana. This mechanistically challenging process results from multiple inputs including gene interactions, cellular geometry, growth rates, and coordinated cell divisions. To better understand how this complex genetic and cellular information controls leaf growth, we developed a mathematical model of flat leaf production. This two-dimensional model describes the gene interactions in a vertex network of cells which grow and divide according to physical forces and genetic information. Interestingly, the model predicts the presence of an unknown additional factor required for the formation of biologically realistic gene expression domains and iterative cell division. This two-dimensional model will form the basis for future studies into robustness of adaxial-abaxial patterning.

关键词: Robustness, Adaxial-abaxial patterning, Mathematical modeling, Gene regulatory networks (GRNs), Transcription factors, Small RNAs

Abstract: Biology provides many examples of complex systems whose properties allow organisms to develop in a highly reproducible, or robust, manner. One such system is the growth and development of flat leaves in Arabidopsis thaliana. This mechanistically challenging process results from multiple inputs including gene interactions, cellular geometry, growth rates, and coordinated cell divisions. To better understand how this complex genetic and cellular information controls leaf growth, we developed a mathematical model of flat leaf production. This two-dimensional model describes the gene interactions in a vertex network of cells which grow and divide according to physical forces and genetic information. Interestingly, the model predicts the presence of an unknown additional factor required for the formation of biologically realistic gene expression domains and iterative cell division. This two-dimensional model will form the basis for future studies into robustness of adaxial-abaxial patterning.

Key words: Robustness, Adaxial-abaxial patterning, Mathematical modeling, Gene regulatory networks (GRNs), Transcription factors, Small RNAs

Luke Andrejek, Janet Best, Ching-Shan Chou, Aman Husbands. A Vertex Network Model of Arabidopsis Leaf Growth[J]. Communications on Applied Mathematics and Computation, 2024, 6(1): 454-488.

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A Vertex Network Model of Arabidopsis Leaf Growth

A Vertex Network Model of Arabidopsis Leaf Growth

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