Finite Element Analysis of Imposing Femtonewton Forces with Micropipette Aspiration

AbstractA novel technique of imposing femtonewton forces with micropipette aspiration [i.e., the extended micropipette aspiration technique (EMAT)] is proposed, and an axisymmetric finite element analysis of this technique is provided. The EMAT is experimentally based upon a micropipette manipulation system and is theoretically based upon hydrodynamics. Any spherical object such as a human neutrophil or a latex bead can be employed as the force transducer, so cell–cell interactions can be directly studied. Our computational analysis shows that femtonewton forces can indeed be imposed. The force magnitude is sensitive to the radius of the micropipette and the micropipette-transducer distance, but it is much less sensitive to other parameters including the radius of the transducer, the substrate curvature, and the thickness of the micropipette wall. Combining the EMAT and the previously developed micropipette aspiration technique will allow us to impose an unprecedented range of forces, from a few femtonewtons to a few hundred piconewtons on single molecules or receptor-ligand bonds. © 2002 Biomedical Engineering Society. PAC2002: 8780Fe, 8715La, 0270Dh, 8715Aa

[1]  G. Batchelor,et al.  An Introduction to Fluid Dynamics , 1968 .

[2]  Gerber,et al.  Atomic Force Microscope , 2020, Definitions.

[3]  M. Sheetz,et al.  Tracking kinesin-driven movements with nanometre-scale precision , 1988, Nature.

[4]  D. Needham,et al.  Rapid Flow of Passive Neutrophils Into a 4 μm Pipet and Measurement of Cytoplasmic Viscosity , 1990 .

[5]  D Needham,et al.  Rapid flow of passive neutrophils into a 4 microns pipet and measurement of cytoplasmic viscosity. , 1990, Journal of biomechanical engineering.

[6]  Toshio Yanagida,et al.  Sub-piconewton force fluctuations of actomyosin in vitro , 1991, Nature.

[7]  M. Sheetz,et al.  Optical tweezers in cell biology. , 1992, Trends in cell biology.

[8]  S. Smith,et al.  Direct mechanical measurements of the elasticity of single DNA molecules by using magnetic beads. , 1992, Science.

[9]  H. P. Ting-Beall,et al.  Volume and osmotic properties of human neutrophils. , 1993, Blood.

[10]  D. Ingber,et al.  Mechanotransduction across the cell surface and through the cytoskeleton , 1993 .

[11]  H. Gaub,et al.  Intermolecular forces and energies between ligands and receptors. , 1994, Science.

[12]  D. Hammer,et al.  Lifetime of the P-selectin-carbohydrate bond and its response to tensile force in hydrodynamic flow , 1995, Nature.

[13]  A. Bensimon,et al.  The Elasticity of a Single Supercoiled DNA Molecule , 1996, Science.

[14]  R M Hochmuth,et al.  Micropipette suction for measuring piconewton forces of adhesion and tether formation from neutrophil membranes. , 1996, Biophysical journal.

[15]  P. Pedley,et al.  An Introduction to Fluid Dynamics , 1968 .

[16]  M. Rief,et al.  Reversible unfolding of individual titin immunoglobulin domains by AFM. , 1997, Science.

[17]  R. M. Simmons,et al.  Elasticity and unfolding of single molecules of the giant muscle protein titin , 1997, Nature.

[18]  S. Smith,et al.  Folding-unfolding transitions in single titin molecules characterized with laser tweezers. , 1997, Science.

[19]  A. Ashkin Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime. , 1992, Methods in cell biology.

[20]  E. Evans,et al.  Looking inside molecular bonds at biological interfaces with dynamic force spectroscopy. , 1999, Biophysical chemistry.

[21]  S. Quake,et al.  Femtonewton force spectroscopy of single extended DNA molecules. , 2000, Physical review letters.

[22]  R. Waugh,et al.  A microcantilever device to assess the effect of force on the lifetime of selectin-carbohydrate bonds. , 2001, Biophysical journal.

[23]  Jin-Yu Shao,et al.  A modified micropipette aspiration technique and its application to tether formation from human neutrophils. , 2002, Journal of biomechanical engineering.

[24]  Jinbin Xu,et al.  Erratum: “A Modified Micropipette Aspiration Technique and Its Application to Tether Formation from Human Neutrophils” [ASME J. Biomech. Eng., 124, No. 4, pp. 388–396] , 2004 .

[25]  R. Waugh,et al.  Physical measurements of bilayer-skeletal separation forces , 1995, Annals of Biomedical Engineering.