Accuracy of AFM force distance curves via direct solution of the Euler-Bernoulli equation
In an effort to improve the accuracy of force-separation curves obtained from atomic force microscope data, we compare force-separation curves computed using two methods to solve the Euler-Bernoulli equation. A recently introduced method using a direct sequential forward solution, Causal Time-Domain...
| Autori principali: | , , |
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| Natura: | Articolo |
| Lingua: | English |
| Pubblicazione: |
AIP Publishing LLC
2016-03-01
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| Serie: | AIP Advances |
| Accesso online: | http://dx.doi.org/10.1063/1.4945409 |
| _version_ | 1828533295717023744 |
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| author | Steven J. Eppell Yehe Liu Fredy R. Zypman |
| author_facet | Steven J. Eppell Yehe Liu Fredy R. Zypman |
| author_sort | Steven J. Eppell |
| collection | DOAJ |
| description | In an effort to improve the accuracy of force-separation curves obtained from atomic force microscope data, we compare force-separation curves computed using two methods to solve the Euler-Bernoulli equation. A recently introduced method using a direct sequential forward solution, Causal Time-Domain Analysis, is compared against a previously introduced Tikhonov Regularization method. Using the direct solution as a benchmark, it is found that the regularization technique is unable to reproduce accurate curve shapes. Using L-curve analysis and adjusting the regularization parameter, λ, to match either the depth or the full width at half maximum of the force curves, the two techniques are contrasted. Matched depths result in full width at half maxima that are off by an average of 27% and matched full width at half maxima produce depths that are off by an average of 109%. |
| first_indexed | 2024-12-11T23:07:22Z |
| format | Article |
| id | doaj.art-dbbdd007013d4640b5d2e89b0c1bc4b6 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-11T23:07:22Z |
| publishDate | 2016-03-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-dbbdd007013d4640b5d2e89b0c1bc4b62022-12-22T00:46:53ZengAIP Publishing LLCAIP Advances2158-32262016-03-0163035322035322-910.1063/1.4945409095603ADVAccuracy of AFM force distance curves via direct solution of the Euler-Bernoulli equationSteven J. Eppell0Yehe Liu1Fredy R. Zypman2Biomedical Engineering Department, Case Western Reserve University, Cleveland, OH, USABiomedical Engineering Department, Case Western Reserve University, Cleveland, OH, USADepartment of Physics, Yeshiva University, New York, NY, USAIn an effort to improve the accuracy of force-separation curves obtained from atomic force microscope data, we compare force-separation curves computed using two methods to solve the Euler-Bernoulli equation. A recently introduced method using a direct sequential forward solution, Causal Time-Domain Analysis, is compared against a previously introduced Tikhonov Regularization method. Using the direct solution as a benchmark, it is found that the regularization technique is unable to reproduce accurate curve shapes. Using L-curve analysis and adjusting the regularization parameter, λ, to match either the depth or the full width at half maximum of the force curves, the two techniques are contrasted. Matched depths result in full width at half maxima that are off by an average of 27% and matched full width at half maxima produce depths that are off by an average of 109%.http://dx.doi.org/10.1063/1.4945409 |
| spellingShingle | Steven J. Eppell Yehe Liu Fredy R. Zypman Accuracy of AFM force distance curves via direct solution of the Euler-Bernoulli equation AIP Advances |
| title | Accuracy of AFM force distance curves via direct solution of the Euler-Bernoulli equation |
| title_full | Accuracy of AFM force distance curves via direct solution of the Euler-Bernoulli equation |
| title_fullStr | Accuracy of AFM force distance curves via direct solution of the Euler-Bernoulli equation |
| title_full_unstemmed | Accuracy of AFM force distance curves via direct solution of the Euler-Bernoulli equation |
| title_short | Accuracy of AFM force distance curves via direct solution of the Euler-Bernoulli equation |
| title_sort | accuracy of afm force distance curves via direct solution of the euler bernoulli equation |
| url | http://dx.doi.org/10.1063/1.4945409 |
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