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Summary of Automated Model Discovery For Tensional Homeostasis: Constitutive Machine Learning in Growth and Remodeling, by Hagen Holthusen and Tim Brepols and Kevin Linka and Ellen Kuhl


Automated Model Discovery for Tensional Homeostasis: Constitutive Machine Learning in Growth and Remodeling

by Hagen Holthusen, Tim Brepols, Kevin Linka, Ellen Kuhl

First submitted to arxiv on: 17 Oct 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Materials Science (cond-mat.mtrl-sci); Computational Engineering, Finance, and Science (cs.CE)

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The proposed research presents a novel framework to describe the behavior of soft biological tissues, which exhibit a tendency to maintain a preferred state of tensile stress, known as tensional homeostasis. The study introduces the concept of kinematic growth theory, decomposing deformation gradients into elastic and growth-related components. This framework is applied to define homeostatic surfaces and evolution equations for inelastic deformations.
Low GrooveSquid.com (original content) Low Difficulty Summary
Soft biological tissues have a special ability to maintain their shape even after external forces are applied or removed. Scientists have found that this “memory” can be explained by a mathematical concept called kinematic growth theory. The research shows how this theory helps us understand the behavior of soft tissues and how they adapt to changing conditions.

Keywords

* Artificial intelligence