Colloquium: Mechanical formalisms for tissue dynamics.

Eur Phys J E Soft Matter

Laboratoire Matière et Systèmes Complexes, Université Denis Diderot - Paris 7, CNRS UMR 7057, 10 rue Alice Domon et Léonie Duquet, F-75205, Paris Cedex 13, France.

Published: May 2015

AI Article Synopsis

  • Recent advancements in experimental techniques are enhancing our understanding of morphogenesis by providing detailed quantitative data on cell shapes and gene expression within tissues, prompting a reevaluation of gene-mechanics relationships.
  • Biomechanics is increasingly relying on models to design experiments, analyze results, and predict behaviors, emphasizing the need for careful selection of appropriate mechanical models based on tissue behavior.
  • The article discusses mathematical frameworks for continuum materials, focusing on how to convert constitutive equations into solvable partial differential equations, and presents methods to effectively interpret data from biomechanical experiments.

Article Abstract

The understanding of morphogenesis in living organisms has been renewed by tremendous progress in experimental techniques that provide access to cell scale, quantitative information both on the shapes of cells within tissues and on the genes being expressed. This information suggests that our understanding of the respective contributions of gene expression and mechanics, and of their crucial entanglement, will soon leap forward. Biomechanics increasingly benefits from models, which assist the design and interpretation of experiments, point out the main ingredients and assumptions, and ultimately lead to predictions. The newly accessible local information thus calls for a reflection on how to select suitable classes of mechanical models. We review both mechanical ingredients suggested by the current knowledge of tissue behaviour, and modelling methods that can help generate a rheological diagram or a constitutive equation. We distinguish cell scale ("intra-cell") and tissue scale ("inter-cell") contributions. We recall the mathematical framework developed for continuum materials and explain how to transform a constitutive equation into a set of partial differential equations amenable to numerical resolution. We show that when plastic behaviour is relevant, the dissipation function formalism appears appropriate to generate constitutive equations; its variational nature facilitates numerical implementation, and we discuss adaptations needed in the case of large deformations. The present article gathers theoretical methods that can readily enhance the significance of the data to be extracted from recent or future high throughput biomechanical experiments.

Download full-text PDF

Source
http://dx.doi.org/10.1140/epje/i2015-15033-4DOI Listing

Publication Analysis

Top Keywords

cell scale
8
constitutive equation
8
colloquium mechanical
4
mechanical formalisms
4
formalisms tissue
4
tissue dynamics
4
dynamics understanding
4
understanding morphogenesis
4
morphogenesis living
4
living organisms
4

Similar Publications

Defining the cellular factors that drive growth rate and proteome composition is essential for understanding and manipulating cellular systems. In bacteria, ribosome concentration is known to be a constraining factor of cell growth rate, while gene concentration is usually assumed not to be limiting. Here, using single-molecule tracking, quantitative single-cell microscopy, and modeling, we show that genome dilution in cells arrested for DNA replication limits total RNA polymerase activity within physiological cell sizes across tested nutrient conditions.

View Article and Find Full Text PDF

Purpose: Voriconazole (VRC) is recommended for the prevention and treatment of invasive fungal infections in children undergoing hematopoietic stem cell transplantation (HSCT). It demonstrates nonlinear pharmacokinetics (PK) and exhibits substantial inter- and intraindividual variability. Phenytoin sodium (PHT) and methylprednisolone (MP) are commonly used in the early stages of HSCT to prevent epilepsy and graft-versus-host disease.

View Article and Find Full Text PDF

Structural variation (SV) is an important component of the diversity of the human genome. Many studies have shown that SV has a significant impact on human disease and is strongly associated with the development of cancer. In recent years, the Hi-C sequencing technique has been shown to be useful for detecting large-scale SVs, and several methods have been proposed for identifying SVs from Hi-C data.

View Article and Find Full Text PDF

A Three-Tiered Golf Anode towards Ultralong-Life Zn-Mn Aqueous Batteries.

Angew Chem Int Ed Engl

December 2024

Northeast Normal University, MOE Key Laboratory for UV Light-Emitting Materials and Technology, CHINA.

Zn-Mn aqueous batteries (ZMABs) are widely recognized as a promising candidate for large-scale energy storage due to their cost-effectiveness, high safety and environmental friendliness. However, the practical application of ZMABs is hindered by inherent electrical contact loss, hydrogen evolution and dendrite growth on traditional anodes. Here, a three-tiered golf anode with high conductivity is developed to simultaneously enhance the reversibility of Zn and Mn metals.

View Article and Find Full Text PDF

Fungal endophytes are recognized as an essential source of bioactive compounds. Besides producing a wide variety of compounds, fungal endophytes can also facilitate a biotransformation process. In this process, endophytes act as an enzyme source to catalyze chemical reactions and modify the structures of bioactive compounds.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!