Categorical Description Of Plant Morphogenesis

TL;DR

This paper introduces a formal framework combining Category theory and Petri Nets to describe plant morphogenesis, integrating biological data and linking histology with gene networks.

Contribution

It presents a novel formalistic tool for describing plant development, unifying structural and biochemical relations through advanced mathematical concepts.

Findings

Mathematically modeled the relation between functional and morphological descriptions.

Linked histology and proliferative activity to gene interaction networks.

Demonstrated the framework's ability to integrate diverse biological data.

Abstract

This article presents formalistic tool for description of structural and biochemical relations between cells in the course of development of the body of plants. This is flexible formalistic space, based on the Category theory and the Petri Net approach, which embeds and mutually supplements biological data from methodically different sources. Relation between functional and morphological ways of plant description was mathematically realized with help of the adjoint functors. It was shown that histology and proliferative activity of the formative tissues give a template for the gene interaction networks.