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Updated: Jun 21, 2026

3D Microtissues for Injectable Regenerative Therapy and High-throughput Drug Screening
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3D Microtissues for Injectable Regenerative Therapy and High-throughput Drug Screening

Published on: October 4, 2017

A microsphere-based remodelling formulation for anisotropic biological tissues.

Andreas Menzel1, Tobias Waffenschmidt

  • 1Institute of Mechanics, TU Dortmund University, Leonhard-Euler-Strasse 5, 44221 Dortmund, Germany.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|August 7, 2009
PubMed
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This study introduces a novel computational model for biological tissue remodelling, accounting for fibrous tissue alignment under mechanical loads. The approach uses a micro-mechanically based formulation to simulate tissue adaptation and predict anisotropic properties.

Area of Science:

  • Continuum mechanics
  • Biomaterials science
  • Computational biology

Background:

  • Biological tissues exhibit adaptive growth and remodeling in response to mechanical loading.
  • Understanding tissue adaptation is crucial for fields like regenerative medicine and biomechanics.
  • Existing models may not fully capture the anisotropic nature of fibrous tissues.

Purpose of the Study:

  • To develop a new continuum mechanics-based remodelling approach for fibrous soft biological tissues.
  • To incorporate micro-mechanically motivated principles, specifically using a worm-like chain model.
  • To enable simulation of tissue alignment with respect to loading conditions and predict anisotropic behavior.

Main Methods:

  • A worm-like chain model was used to describe the behavior of long-chain molecules in collagenous tissues.

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Three-dimensional Biomimetic Technology: Novel Biorubber Creates Defined Micro- and Macro-scale Architectures in Collagen Hydrogels
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Three-dimensional Biomimetic Technology: Novel Biorubber Creates Defined Micro- and Macro-scale Architectures in Collagen Hydrogels

Published on: February 12, 2016

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Last Updated: Jun 21, 2026

3D Microtissues for Injectable Regenerative Therapy and High-throughput Drug Screening
11:28

3D Microtissues for Injectable Regenerative Therapy and High-throughput Drug Screening

Published on: October 4, 2017

Three-dimensional Biomimetic Technology: Novel Biorubber Creates Defined Micro- and Macro-scale Architectures in Collagen Hydrogels
12:07

Three-dimensional Biomimetic Technology: Novel Biorubber Creates Defined Micro- and Macro-scale Architectures in Collagen Hydrogels

Published on: February 12, 2016

  • A microsphere formulation extended the 1D constitutive equation to a 3D macroscopic level.
  • Remodeling was incorporated via evolution equations for referential orientations of unit vectors, treated as internal variables.

    • Main Results:

    • The developed model accurately reflects the alignment of fibrous soft tissues under representative loading directions.
    • The unit vectors serve as internal variables, effectively characterizing the material's anisotropic properties.
    • Numerical studies demonstrated the model's applicability and compatibility with finite element formulations.

    Conclusions:

    • The proposed micro-mechanically motivated continuum approach provides a robust framework for simulating biological tissue remodelling.
    • The model successfully captures anisotropic properties arising from tissue alignment with mechanical loads.
    • This computational tool can be integrated into finite element methods to solve complex boundary value problems in biomechanics.