Correction of Microrheological Measurements of Soft Samples with Atomic Force Microscopy for the Hydrodynamic Drag on the Cantilever

Alcaraz, Jordi; Buscemi, Lara; Puig-de-Morales, Marina; Colchero, J.; Baró, and A.; Navajas, Daniel

doi:10.1021/la0110850

Cited by 163 publications

(173 citation statements)

References 29 publications

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“…An investigation of the effects of hydrodynamic drag on AFM measurements of soft samples using rectangular and Vshaped cantilevers in liquids at low Reynolds numbers was undertaken by Alcaraz et al [4]. This research confirmed that the hydrodynamic drag force exhibits a locally pure viscous behavior and that the drag factor is dependent upon distance between the tip and the substrate.…”

Section: Introductionmentioning

confidence: 76%

“…One of the major advantages of AFM is the ability to undertake measurements of specimens in fluid environments. This advantage is particularly valuable because it allows undertaking investigations of biological samples in their natural, physiological environment [4][5][6][7][8][9][10][11][12]. The AFM force measurements on soft samples in fluid environments are affected by a hydrodynamic drag force, which results from the viscous friction of the cantilever with the surrounding fluid.…”

Section: Introductionmentioning

confidence: 99%

“…The AFM force measurements on soft samples in fluid environments are affected by a hydrodynamic drag force, which results from the viscous friction of the cantilever with the surrounding fluid. This effect appears more significant when cantilever-tip velocities are above a few µm/s [4,[13][14][15]. Under such circumstances, the drag force is dependent upon factors including the stiffness, dimensions and velocity of the cantilever, the fluid viscosity, and the cantilever/tip-surface separation [4,13].…”

Section: Introductionmentioning

confidence: 99%

“…This effect appears more significant when cantilever-tip velocities are above a few µm/s [4,[13][14][15]. Under such circumstances, the drag force is dependent upon factors including the stiffness, dimensions and velocity of the cantilever, the fluid viscosity, and the cantilever/tip-surface separation [4,13]. AFM cantilever dynamics in liquids remains little understood and requires further investigations [16,17].…”

Section: Introductionmentioning

confidence: 99%

“…This usually limits the cantilever velocities to below 10 µm/s [13]. While hydrodynamic forces have been calculated for certain geometries such as spheres moving through viscous fluids [18,19] as they approach a surface at low Reynolds number, it is not possible to directly assess the drag forces on the cantilever-tip arrangement of the AFM during the probing of soft samples in liquid environments as there is no means of accurately determining the force generated by the sample [4].…”

Section: Introductionmentioning

confidence: 99%

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Numerical study of the hydrodynamic drag force in atomic force microscopy measurements undertaken in fluids

Méndez-Méndez

Alonso-Rasgado

Faria

et al. 2014

Micron

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When atomic force microscopy (AFM) is employed for in vivo study of immersed biological samples, the fluid medium presents additional complexities, not least of which is the hydrodynamic drag force due to viscous friction of the cantilever with the liquid. This force should be considered when interpreting experimental results and any calculated material properties. In this paper, a numerical model is presented to study the influence of the drag force on experimental data obtained from AFM measurements using computational fluid dynamics (CFD) simulation. The model provides quantification of the drag force in AFM measurements of soft specimens in fluids.The numerical predictions were compared with experimental data obtained using AFM with a V-shaped cantilever fitted with a pyramidal tip. Tip velocities ranging from 1.05 to 105 µm/s were employed in water, polyethylene glycol and glycerol with the platform approaching from a distance of 6000 nm. The model was also compared with an existing analytical model. Good agreement was observed between numerical results, experiments and analytical predictions. Accurate predictions were obtained without the need for extrapolation of experimental data. In addition, the model can be employed over the range of tip geometries and velocities typically utilized in AFM measurements.

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Section: Introductionmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Numerical study of the hydrodynamic drag force in atomic force microscopy measurements undertaken in fluids

Méndez-Méndez

Alonso-Rasgado

Faria

et al. 2014

Micron

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Microrheology of Biological Specimens

Rizzi

Tassieri

2018

Encyclopedia of Analytical Chemistry

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A great number of important biological phenomena that occur in living organisms demand energy transduction processes that critically depend on the viscoelastic properties of their constituent building blocks, such as cytoplasm, microtubules, and motor proteins. Accordingly, several techniques have been developed to characterize biological systems with complex mechanical properties at micron‐ and nano‐length scales; these are now part of an established field of study known as Microrheology. In this article, we provide an overview of the theoretical principles underpinning the most popular experimental techniques used in such fields, including video particle tracking, dynamic light scattering, diffusing wave spectroscopy, optical and magnetic tweezers, and atomic force microscopy. We report examples of both active and passive microrheology techniques and discuss their applications in the study of biological specimens, where the use of small volumes in controlled environments and the intrinsic heterogeneities of the samples can be critical conditions to both perform and interpret the experiments.

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Nanomechanics of Cells and Biomaterials Studied by Atomic Force Microscopy

Kilpatrick

Revenko

Rodriguez

2015

Adv Healthcare Materials

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The behavior and mechanical properties of cells are strongly dependent on the biochemical and biomechanical properties of their microenvironment. Thus, understanding the mechanical properties of cells, extracellular matrices, and biomaterials is key to understanding cell function and to develop new materials with tailored mechanical properties for tissue engineering and regenerative medicine applications. Atomic force microscopy (AFM) has emerged as an indispensable technique for measuring the mechanical properties of biomaterials and cells with high spatial resolution and force sensitivity within physiologically relevant environments and timescales in the kPa to GPa elastic modulus range. The growing interest in this field of bionanomechanics has been accompanied by an expanding array of models to describe the complexity of indentation of hierarchical biological samples. Furthermore, the integration of AFM with optical microscopy techniques has further opened the door to a wide range of mechanotransduction studies. In recent years, new multidimensional and multiharmonic AFM approaches for mapping mechanical properties have been developed, which allow the rapid determination of, for example, cell elasticity. This Progress Report provides an introduction and practical guide to making AFM-based nanomechanical measurements of cells and surfaces for tissue engineering applications.

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Correction of Microrheological Measurements of Soft Samples with Atomic Force Microscopy for the Hydrodynamic Drag on the Cantilever

Cited by 163 publications

References 29 publications

Numerical study of the hydrodynamic drag force in atomic force microscopy measurements undertaken in fluids

Numerical study of the hydrodynamic drag force in atomic force microscopy measurements undertaken in fluids

Microrheology of Biological Specimens

Nanomechanics of Cells and Biomaterials Studied by Atomic Force Microscopy

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