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Cell nucleus elastography with the adjoint-based inverse solver.

Yue Mei1, Xuan Feng2, Yun Jin2

  • 1State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China; International Research Center for Computational Mechanics, Dalian University of Technology, Dalian 116023, China; Ningbo Institute of Dalian University of Technology, No. 26 Yucai Road, Jiangbei District, Ningbo 315016, China.

Computer Methods and Programs in Biomedicine
|October 6, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces an adjoint-based inverse solver to map nuclear mechanics, accurately identifying stiffness variations in cellular nuclei. The method shows promise for understanding mechanobiology and disease.

Keywords:
Cell mechanicsDeformation microscopyInverse problemMechanogeneticsNonhomogeneous elastic distributionNuclear elastography

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Area of Science:

  • Cellular mechanics
  • Biophysics
  • Quantitative biology

Background:

  • Nuclear mechanics are crucial for cellular function and disease, but are complex due to variable chromatin distribution.
  • Heterochromatin and euchromatin domains create spatially heterogeneous stiffness properties within the nucleus.

Purpose of the Study:

  • To develop and validate an adjoint-based inverse solver for identifying non-homogeneous elastic properties of the nucleus.
  • To assess the accuracy and limitations of the method using simulated and experimental data.

Main Methods:

  • An adjoint-based inverse solver was employed to determine the nucleus's non-homogeneous elastic property distribution.
  • Deformation fields from microscopic imaging of contracting cardiomyocytes served as input data.
  • The method's feasibility was tested with simulated data and applied to experimental cardiomyocyte nuclei.

Main Results:

  • Simulated data showed accurate identification of heterochromatin regions with <5% relative error.
  • Variations in Poisson's ratio (0.3-0.5) introduced <15% uncertainty in stiffness reconstruction.
  • Experimental results from cardiomyocyte nuclei correlated well with microscopy-based density maps.

Conclusions:

  • The proposed adjoint-based inverse solver demonstrates significant potential for nuclear elastography.
  • This technique offers valuable applications in the emerging fields of mechanobiology and mechanogenetics.