The Hertz Model in AFM Nanoindentation Experiments: Applications in Biological Samples and Biomaterials

Kontomaris, Stylianos Vasileios

doi:10.2174/1876402910666180426114700

Cited by 57 publications

(71 citation statements)

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“…This curve consists of two parts, the loading part in which the tip is moving towards the sample and the unloading part in which the motion of the tip is the opposite (figure 1) [9,10]. These curves can be processed using contact mechanics models for the determination of the Young's modulus value of the sample [7].…”

Section: Theorymentioning

confidence: 99%

“…Despite the fact that these techniques are based on the same theoretical tools, there are significant differences regarding the data processing [7,9]. However, if the biological sample can be considered as homogeneous and isotropic the two techniques should theoretically provide the same results [7,10]. Nevertheless, as it has been previously reported, in case of biological samples (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…Atomic Force Microscopy nanoindentation is a powerful technique for the characterization of biological samples at the nanoscale [1][2][3][4][5][6][7][8][9]. The data processing is usually performed using basic models arising from the contact mechanics theory [7,9]. If the sample that is being tested can be characterized as an elastic half space, the Young's modulus of the sample can be calculated using the Hertz model or the Oliver & Pharr analysis [7,9,10].…”

Section: Introductionmentioning

confidence: 99%

“…The data processing is usually performed using basic models arising from the contact mechanics theory [7,9]. If the sample that is being tested can be characterized as an elastic half space, the Young's modulus of the sample can be calculated using the Hertz model or the Oliver & Pharr analysis [7,9,10]. Despite the fact that these techniques are based on the same theoretical tools, there are significant differences regarding the data processing [7,9].…”

Section: Introductionmentioning

confidence: 99%

“…If the sample that is being tested can be characterized as an elastic half space, the Young's modulus of the sample can be calculated using the Hertz model or the Oliver & Pharr analysis [7,9,10]. Despite the fact that these techniques are based on the same theoretical tools, there are significant differences regarding the data processing [7,9]. However, if the biological sample can be considered as homogeneous and isotropic the two techniques should theoretically provide the same results [7,10].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Hertz model or Oliver & Pharr analysis? Tutorial regarding AFM nanoindentation experiments on biological samples

Kontomaris

Malamou

2020

Mater. Res. Express

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The data processing regarding AFM nanoindentation experiments on biological samples relies on the basic contact mechanics models like the Hertz model and the Oliver & Pharr analysis. Despite the fact that the two aforementioned techniques are assumed to provide equivalent results since they are based on the same underlying theory of contact mechanics, significant differences regarding the Young's modulus calculation even on the same tested sample have been presented in the literature. The differences can be even greater than 30% depending on the used model. In addition, when the Oliver & Pharr analysis is used, a systematic greater Young's modulus value is always calculated compared to the Hertzian analysis. In this paper, the two techniques are briefly described and two possible reasons that accurately explain the observed differences in the calculated value of the Young's modulus are presented.

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Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Hertz model or Oliver & Pharr analysis? Tutorial regarding AFM nanoindentation experiments on biological samples

Kontomaris

Malamou

2020

Mater. Res. Express

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Atomic Force Microscopy and Its Spectroscopic Combinations for Studying Self‐Assembled Nanostructures

Krasnoslobodtsev

2023

Supramolecular Nanotechnology

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Hyaluronan‐based hydrogels as versatile tumor‐like models: Tunable ECM and stiffness with genipin‐crosslinking

Bonnesœur

Morin-Grognet

Thoumire

et al. 2020

J Biomedical Materials Res

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Three‐dimensional (3D) biomimetic cell culture platforms offer more realistic microenvironments that cells naturally experience in vivo. We developed a tunable hyaluronan‐based hydrogels that could easily be modified to mimic healthy or malignant extracellular matrices (ECMs). For that, we pre‐functionalized our hydrogels with an adhesive polypeptide (poly‐l‐lysine, PLL) or ECM proteins (type III and type IV collagens), naturally present in tumorous tissues, and next, we tuned their stiffness by crosslinking with gradual concentrations of genipin (GnP). Then, we thoroughly characterized our substrates before testing them with glioblastoma and breast cancer cells, and thereafter with endothelial cells. Overall, our hydrogels exhibited (a) increasing stiffness with GnP concentration for every pre‐functionalization and (b) efficient enzyme resistance with PLL treatment, and also with type IV collagen but to a lesser extent. While PLL‐treated hydrogels were not favorable to the culture of any glioblastoma cell lines, they enhanced the proliferation of breast cancer cells in a stiffness‐dependent manner. Contrary to type III collagen, type IV collagen pre‐treated hydrogels supported the proliferation of glioblastoma cells. The as‐desired HA‐based 3D tumor‐like models we developed may provide a useful platform for the study of various cancer cells by simply tuning their biochemical composition and their mechanical properties.

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The Hertz Model in AFM Nanoindentation Experiments: Applications in Biological Samples and Biomaterials

Cited by 57 publications

References 0 publications

Hertz model or Oliver & Pharr analysis? Tutorial regarding AFM nanoindentation experiments on biological samples

Hertz model or Oliver & Pharr analysis? Tutorial regarding AFM nanoindentation experiments on biological samples

Atomic Force Microscopy and Its Spectroscopic Combinations for Studying Self‐Assembled Nanostructures

Hyaluronan‐based hydrogels as versatile tumor‐like models: Tunable ECM and stiffness with genipin‐crosslinking

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