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Related Concept Videos

Cell-matrix's Response to Mechanical Forces01:13

Cell-matrix's Response to Mechanical Forces

In animal cells, the extracellular matrix allows cells within tissues to withstand external stresses and transmits signals from the outside of the cell to the inside. The extracellular matrix is extensive, and its composition varies between different types of tissues. For example, the reticular fibers and ground substance make up the ECM in loose connective tissue, while collagen and bone minerals make up the ECM of bone tissue. 
Anchoring junctions mechanically attach a cell to the...

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Perturbing Endothelial Biomechanics via Connexin 43 Structural Disruption
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An inverse method for predicting tissue-level mechanics from cellular mechanical input.

Wangdo Kim1, Derek C Tretheway, Sean S Kohles

  • 1Department of Mechanical & Materials Engineering, Portland State University, P.O. Box 751 Portland, OR 97201, USA.

Journal of Biomechanics
|January 13, 2009
PubMed
Summary
This summary is machine-generated.

Understanding how mechanical forces in the extracellular matrix (ECM) influence cells is key for tissue development. This study uses an inverse problem approach to estimate the specific ECM mechanical stimulation needed for desired cellular responses.

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Area of Science:

  • Biomechanics
  • Cellular mechanics
  • Tissue engineering

Background:

  • The extracellular matrix (ECM) is a dynamic structure that transmits mechanical stimuli to cells, influencing biological functions like tissue development.
  • The precise mechanical forces required to elicit specific cellular responses within the ECM are not fully understood.
  • Existing theories hypothesize cellular responses to variations in external mechanical forces on the ECM.

Purpose of the Study:

  • To explore the cell-to-tissue inverse problem as a method to determine the ECM mechanical stimulation necessary for a specified cellular mechanical environment.
  • To utilize eigenvalues, eigenvectors, and dynamic programming to simplify a cell-tissue system and estimate ECM mechanical forces.

Main Methods:

  • A simplified two-dimensional model was analyzed using finite element and inverse numerical methods.
  • Eigenvalues (resonant frequencies) and eigenvectors (mode shapes) were employed to reduce the mathematical order of the system.
  • Dynamic programming was used to estimate the unknown ECM mechanical stimulation.

Main Results:

  • Reducing the number of mechanical modes from 30 to 14 and then to 7 adequately reproduced an unknown force time history on the ECM boundary.
  • The study demonstrated the effectiveness of inverse analysis in estimating ECM mechanical stimulation.
  • A comparison between cell-to-tissue inverse modeling and tissue-to-cell boundary value modeling highlighted the multiscale applicability of the inverse approach.

Conclusions:

  • The cell-to-tissue inverse problem provides a viable method for estimating ECM mechanical stimulation required for specific cellular mechanical environments.
  • Mathematical order reduction techniques, including the use of eigenvalues and eigenvectors, are effective in simplifying complex cell-tissue systems.
  • The inverse modeling approach shows promise for understanding and potentially controlling cellular behavior through mechanical regulation of the ECM across multiple scales.