skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: An AFM-Based Stiffness Clamp for Dynamic Control of Rigidity

Journal Article · · PLoS ONE
 [1];  [1];  [2]
  1. Univ. of California, Berkeley, CA (United States). Biophysics Graduate Group
  2. Univ. of California, Berkeley, CA (United States). Biophysics Graduate Group; Univ. of California, Berkeley, CA (United States). Dept. of Bioengineering; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Atomic force microscopy (AFM) has become a powerful tool for measuring material properties in biology and imposing mechanical boundary conditions on samples from single molecules to cells and tissues. Constant force or constant height can be maintained in an AFM experiment through feedback control of cantilever deflection, known respectively as a ‘force clamp’ or ‘position clamp’. However, stiffness, the third variable in the Hookean relation F = kx that describes AFM cantilever deflection, has not been dynamically controllable in the same way. Here we present and demonstrate a ‘stiffness clamp’ that can vary the apparent stiffness of an AFM cantilever. This method, employable on any AFM system by modifying feedback control of the cantilever, allows rapid and reversible tuning of the stiffness exposed to the sample in a way that can decouple the role of stiffness from force and deformation. We demonstrated the AFM stiffness clamp on two different samples: a contracting fibroblast cell and an expanding polyacrylamide hydrogel. We found that the fibroblast, a cell type that secretes and organizes the extracellular matrix, exhibited a rapid, sub-second change in traction rate (dF/dt) and contraction velocity (dx/dt) in response to step changes in stiffness between 1–100 nN/mm. This response was independent of the absolute contractile force and cell height, demonstrating that cells can react directly to changes in stiffness alone. In contrast, the hydrogel used in our experiment maintained a constant expansion velocity (dx/dt) over this range of stiffness, while the traction rate (dF/dt) changed with stiffness, showing that passive materials can also behave differently in different stiffness environments. The AFM stiffness clamp presented here, which is applicable to mechanical measurements on both biological and non-biological samples, may be used to investigate cellular mechanotransduction under a wide range of controlled mechanical boundary conditions.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE Office of Science (SC), Biological and Environmental Research (BER). Biological Systems Science Division; National Science Foundation (NSF); National Institutes of Health (NIH); National Cancer Institute (NCI)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1627450
Journal Information:
PLoS ONE, Vol. 6, Issue 3; ISSN 1932-6203
Publisher:
Public Library of ScienceCopyright Statement
Country of Publication:
United States
Language:
English

References (29)

Single-cell force spectroscopy journal May 2008
Reversible stress softening of actin networks journal January 2007
Force and function: probing proteins with AFM-based force spectroscopy journal October 2009
The hard life of soft cells journal August 2009
Mechanobiology of cardiomyocyte development journal January 2010
Cell-Cycle Control by Physiological Matrix Elasticity and In Vivo Tissue Stiffening journal September 2009
A mechanosensitive transcriptional mechanism that controls angiogenesis journal February 2009
Effects of substrate stiffness on cell morphology, cytoskeletal structure, and adhesion journal January 2004
Rigidity-driven growth and migration of epithelial cells on microstructured anisotropic substrates journal May 2007
Matrix Elasticity Directs Stem Cell Lineage Specification journal August 2006
Substrate mechanics and cell spreading*1 journal August 1991
Cell locomotion and focal adhesions are regulated by substrate flexibility journal December 1997
Cells lying on a bed of microneedles: An approach to isolate mechanical force journal January 2003
Single-cell response to stiffness exhibits muscle-like behavior journal October 2009
Mechanics and contraction dynamics of single platelets and implications for clot stiffening journal December 2010
Spatiotemporal Analysis of Cell Response to a Rigidity Gradient: A Quantitative Study Using Multiple Optical Tweezers journal January 2009
A photo-modulatable material for probing cellular responses to substrate rigidity journal January 2009
The relationship between fibroblast growth and the dynamic stiffnesses of a DNA crosslinked hydrogel journal February 2010
Real-time single-cell response to stiffness journal September 2010
Combined atomic force microscopy and side-view optical imaging for mechanical studies of cells journal April 2009
Substrate rigidity and force define form through tyrosine phosphatase and kinase pathways journal April 2006
Force Unfolding Kinetics of RNA Using Optical Tweezers. I. Effects of Experimental Variables on Measured Results journal May 2007
Tensional homeostasis and the malignant phenotype journal September 2005
Calibration of atomic‐force microscope tips journal July 1993
Matrix Control of Stem Cell Fate journal August 2006
Cell Movement Is Guided by the Rigidity of the Substrate journal July 2000
Erratum: ‘‘Calibration of atomic‐force microscope tips’’ [Rev. Sci. Instrum. 64, 1868 (1993)] journal November 1993
High-Resolution Probing of Cellular Force Transmission journal April 2009
Force unfolding kinetics of RNA using optical tweezers. I. Effects of experimental variables on measured results text January 2007

Cited By (8)

WiFi‐controlled portable atomic force microscope journal May 2019
A time-dependent phenomenological model for cell mechano-sensing journal June 2013
Fibroblast polarization is a matrix-rigidity-dependent process controlled by focal adhesion mechanosensing journal November 2011
Review on Cell Mechanics: Experimental and Modeling Approaches journal October 2013
Vascular Smooth Muscle Cells and Arterial Stiffening: Relevance in Development, Aging, and Disease journal October 2017
Mechanism of regulation of stem cell differentiation by matrix stiffness journal May 2015
Dynamic Mechanisms of Cell Rigidity Sensing: Insights from a Computational Model of Actomyosin Networks journal November 2012
Polymer brush: a promising grafting approach to scaffolds for tissue engineering journal December 2016

Similar Records

Quantitative assessment of sample stiffness and sliding friction from force curves in atomic force microscopy
Journal Article · Mon Feb 15 00:00:00 EST 2010 · Journal of Applied Physics · OSTI ID:1627450

Piezoresistive cantilever force-clamp system
Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Review of Scientific Instruments · OSTI ID:1627450

Quantitative comparison of two independent lateral force calibration techniques for the atomic force microscope
Journal Article · Wed Feb 15 00:00:00 EST 2012 · Review of Scientific Instruments · OSTI ID:1627450