Yang, Haitao
(2014)
Acquiring Uniaxial Stress-Strain Curve by Fast Finite Element Analysis for Characterization of Whole-Cell Elastic Property.
Master's Thesis, University of Pittsburgh.
(Unpublished)
Abstract
An understanding of whole-cell elastic property can provide insight into cellular response to mechanical loading. Hertz model is often used to extract the Young’s modulus from the atomic force microscopy (AFM) force indentation depth curve (F-D curve) for characterization of cell’s elastic property. However, Hertz model is only relatively accurate when the sample can be regarded as infinite half space and its material is linear elastic, which is contradictory with the fact that cell is usually very thin and cell’s elastic properties are considered to be highly nonlinear, especially when the deformation is very large. Finite element analysis can be used to handle the nonlinear elastic property and large deformation by using the hyperelastic model to model the cell material. However, previous studies have not demonstrated a convenient way to search for the model parameters that can fit the experimental data. In this paper, we put forward a method based on finite element analysis. Our new method adopts a general uniaxial stress-strain curve (associated with a hyperelastic model) to represent cell’s material and uses a recursive method to search for this uniaxial stress-strain curve by minimizing the difference between the experimental and simulated F-D curve. This new recursive approach not only offers a high match accuracy between the experimental and simulated F-D curve(error rate less than 5% is ready to be obtainable), but also minimizes the number of recursions in searching for the stress-strain curve(less than 10 recursions are enough for the good enough match in normal situation).
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Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
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| ETD Committee: |
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| Date: |
29 January 2014 |
| Date Type: |
Publication |
| Defense Date: |
21 November 2013 |
| Approval Date: |
29 January 2014 |
| Submission Date: |
25 November 2013 |
| Access Restriction: |
5 year -- Restrict access to University of Pittsburgh for a period of 5 years. |
| Number of Pages: |
48 |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Swanson School of Engineering > Electrical Engineering |
| Degree: |
MS - Master of Science |
| Thesis Type: |
Master's Thesis |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
Atomic Force Microscopy,Finite element Analysis, Hyperelastic Model,Uniaxial Stress-Strain curve,Hertz Model,Whole-cell elastic property |
| Date Deposited: |
29 Jan 2014 15:19 |
| Last Modified: |
29 Jan 2019 06:15 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/20103 |
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