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学科主题: 临床医学
题名:
Determination of Cellular Tractions on Elastic Substrate Based on an Integral Boussinesq Solution
作者: Huang, Jianyong1,3; Peng, Xiaoling1,3; Qin, Lei1,3; Zhu, Tao1,3; Xiong, Chunyang1,3; Zhang, Youyi2; Fang, Jing1,3
关键词: biomechanics ; biomedical optical imaging ; cardiology ; cellular transport ; elasticity ; Green&prime ; s function methods ; image reconstruction ; image sampling ; integral equations ; inverse problems ; matrix algebra ; medical image processing ; muscle
刊名: JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME
发表日期: 2009-06-01
DOI: 10.1115/1.3118767
卷: 131, 期:6
收录类别: SCI
文章类型: Article
WOS标题词: Science & Technology
类目[WOS]: Biophysics ; Engineering, Biomedical
研究领域[WOS]: Biophysics ; Engineering
关键词[WOS]: DIGITAL IMAGE CORRELATION ; FIBROBLAST TRACTION ; FORCE MICROSCOPY ; POSED PROBLEMS ; L-CURVE ; CELLS ; REGULARIZATION ; LOCOMOTION ; CONTACTS ; FIELDS
英文摘要:

Cell-substrate interaction is implicated in many physiological processes. Dynamical monitoring of cellular tractions on substrate is critical in investigating a variety of cell functions such as contraction, migration, and invasion. On account of the inherent ill-posed property as an inverse problem, cellular traction recovery is essentially sensitive to substrate displacement noise and thus likely produces unstable results. Therefore, some additional constraints must be applied to obtain a reliable traction estimate. By integrating the classical Boussinesq solution over a small rectangular area element, we obtain a new analytical solution to express the relation between tangential tractions and induced substrate displacements, and then form an alternative discrete Green′s function matrix to set up a new framework of cellular force reconstruction. Deformation images of flexible substrate actuated by a single cardiac myocyte are processed by digital image correlation technique and the displacement data are sampled with a regular mesh to obtain cellular tractions by the proposed solution. Numerical simulations indicate that the 2-norm condition number of the improved coefficient matrix typically does not exceed the order of 100 for actual computation of traction recovery, and that the traction reconstruction is less sensitive to the shift or subdivision of the data sampling grid. The noise amplification arising from ill-posed inverse problem can be restrained and the stability of inverse solution is improved so that regularization operations become less relevant to the present force reconstruction with economical sampling density. The traction recovery for a single cardiac myocyte, which is in good agreement with that obtained by the Fourier transform traction cytometry, demonstrates the feasibility of the proposed method. We have developed a simple and efficient method to recover cellular traction field from substrate deformation. Unlike previous force reconstructions that numerically employ some regularization schemes, the present approach stabilizes the traction recovery by analytically improving the Green′s function such that the intricate regularizations can be avoided under proper conditions. The method has potential application to a real-time traction force microscopy in combination with a high-efficiency displacement acquisition technique.

语种: 英语
WOS记录号: WOS:000266035700009
Citation statistics:
内容类型: 期刊论文
URI标识: http://ir.bjmu.edu.cn/handle/400002259/53946
Appears in Collections:北京大学第三临床医学院_心血管内科_期刊论文

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作者单位: 1.Peking Univ, Dept Biomed Engn, Beijing 100871, Peoples R China
2.Peking Univ, Inst Vasc Med, Key Lab Mol Cardiovasc Sci, Educ Minist,Hosp 3, Beijing 100083, Peoples R China
3.Peking Univ, Acad Adv Interdisciplinary Studies, Beijing 100871, Peoples R China

Recommended Citation:
Huang, Jianyong,Peng, Xiaoling,Qin, Lei,et al. Determination of Cellular Tractions on Elastic Substrate Based on an Integral Boussinesq Solution[J]. JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME,2009,131(6).
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