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Plant hormone auxin has critical roles in plant growth, dependent on its heterogeneous distribution in plant tissues. Exactly how auxin transport and developmental processes such as growth coordinate to achieve the precise patterns of auxin…

Tissues and Organs · Quantitative Biology 2019-11-14 Henry R. Allen , Mariya Ptashnyk

Quantitative predictions about the processes that promote species coexistence are a subject of active research in ecology. In particular, competitive interactions are known to shape and maintain ecological communities, and situations where…

Populations and Evolution · Quantitative Biology 2020-01-22 Jose A. Capitan , Sara Cuenda , David Alonso

The plant hormone auxin is fundamental for plant growth, and its spatial distribution in plant tissues is critical for plant morphogenesis. We consider a leading model of the polar auxin flux, and study in full detail the stability of the…

Tissues and Organs · Quantitative Biology 2011-10-25 Chrystel Feller , Jean-Pierre Gabriel , Christian Mazza , Florence Yerly

The integration of plant-based bioregenerative life support systems is a central objective in NASA's Moon to Mars strategy. Arabidopsis thaliana, a model organism with extensive genomic resources, serves as a key species to investigate…

Quantitative Methods · Quantitative Biology 2025-07-28 A'nya Buckner , Sarah Lang , Rafael Loureiro

Plants depend on the signaling of the phytohormone auxin for their development and for responding to environmental perturbations. The associated biomolecular signaling network involves a negative feedback at the level of the Aux/IAA…

Molecular Networks · Quantitative Biology 2018-01-30 Silvia Grigolon , Barbara Bravi , Olivier C. Martin

We study pattern formation in a 2-D reaction-diffusion (RD) sub-cellular model characterizing the effect of a spatial gradient of a plant hormone distribution on a family of G-proteins associated with root-hair (RH) initiation in the plant…

Pattern Formation and Solitons · Physics 2018-03-20 D. Avitabile , V. F. Breña-Medina , M. J. Ward

One of the central problems in animal and plant developmental biology is deciphering how chemical and mechanical signals interact within a tissue to produce organs of defined size, shape and function. Cell walls in plants impose a unique…

Adaptive control in biological systems, such as intestinal immunity, remains poorly understood despite detailed knowledge of underlying regulatory networks. We propose an alternative framework based on stochastic martingale turnover, in…

Adaptation and Self-Organizing Systems · Physics 2026-05-01 Tomoyuki Yamaguchi

We formulate general plant-herbivore interaction models with monotone plant growth functions (rates). We study the impact of monotone plant growth functions in general plant-herbivore models on their dynamics. Our study shows that all…

Dynamical Systems · Mathematics 2011-02-14 Yun Kang , Dieter Armbruster

The adoption of agroecological practices will be crucial to address the challenges of climate change and biodiversity loss. Such practices favor the cultivation of plants in complex mixtures with layouts differing from the monoculture…

Populations and Evolution · Quantitative Biology 2024-09-26 Julian Talbot , Pascal Viot , David Colliaux

The principles underlying plant development are extended to allow a more molecular mechanism to elaborate the schema by which ground cells differentiate into vascular cells. Biophysical considerations dictate that linear dynamics are not…

Quantitative Methods · Quantitative Biology 2009-05-29 Pavel Dimitrov , Steven W. Zucker

A simplified model for the growth of a population is studied in which random effects arise because reproducing individuals have a certain probability of surviving until the next breeding season and hence contributing to the next generation.…

Populations and Evolution · Quantitative Biology 2016-04-05 Henry C. Tuckwell

Many plants harbor complex mechanisms that promote outcrossing and efficient pollen transfer. These include floral adaptations as well as genetic mechanisms, such as molecular self-incompatibility (SI) systems. The maintenance of such…

Populations and Evolution · Quantitative Biology 2019-01-08 Tiina M. Mattila , Benjamin Laenen , Tanja Slotte

The plant hormone auxin controls many aspects of the development of plants. One striking dynamical feature is the self-organisation of leaf venation patterns which is driven by high levels of auxin within vein cells. The auxin transport is…

Dynamical Systems · Mathematics 2019-12-20 Jan Haskovec , Henrik Jönsson , Lisa Maria Kreusser , Peter Markowich

The large variation in seed mass among species inspired a vast array of theoretical and empirical research attempting to explain this variation. So far, seed mass variation was investigated by two classes of studies: one class focuses on…

Populations and Evolution · Quantitative Biology 2018-07-10 Niv DeMalach , Ronen Kadmon

Self-organized spatial patterns of vegetation are frequent in drylands and, because pattern shape correlates with water availability, they have been suggested as important indicators of ecosystem health. However, the mechanisms underlying…

The scarcity of water characterising drylands forces vegetation to adopt appropriate survival strategies. Some of these generate water-vegetation feedback mechanisms that can lead to spatial self-organisation of vegetation, as it has been…

Biological Physics · Physics 2013-08-30 John Realpe-Gomez , Mara Baudena , Tobias Galla , Alan J. McKane , Max Rietkerk

How can a microorganism adapt to a variety of environmental conditions despite there exists a limited number of signal transduction machineries? We show that for any growing cells whose gene expression is under stochastic fluctuations,…

Molecular Networks · Quantitative Biology 2015-05-13 Chikara Furusawa , Kunihiko Kaneko

Plants are a paradigm for active shape control in response to stimuli. For instance, it is well-known that a tilted plant will eventually straighten vertically, demonstrating the influence of both an external stimulus, gravity, and an…

Biological Physics · Physics 2025-09-09 Hadrien Oliveri , Derek E. Moulton , Heather A. Harrington , Alain Goriely

Plants both lose water and take in carbon dioxide through microscopic stomatal pores, each of which is regulated by a surrounding pair of guard cells. During drought, the plant hormone abscisic acid (ABA) inhibits stomatal opening and…

Molecular Networks · Quantitative Biology 2007-05-23 Song Li , Sarah M. Assmann , Reka Albert
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