%0 Journal Article %1 WOS:000657922800001 %A de Sousa, F B %A V, P K Babu %A Radmacher, M %A Oliveira, C L N %A de Sousa, J S %C TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND %D 2021 %I IOP PUBLISHING LTD %J JOURNAL OF PHYSICS D-APPLIED PHYSICS %K cell force law matter} mechanics; microrheology; microscopy; power relaxation; soft viscoelastic {atomic %N 33 %R 10.1088/1361-6463/ac02fa %T Multiple power-law viscoelastic relaxation in time and frequency domains with atomic force microscopy %V 54 %X Complex viscoelastic materials exhibit power law (PL) relaxations, as opposed to simple materials described by exponential decays. Other interesting materials, like living cells, hold a universal double PL behavior whose exponents depend on the health and type of the cells. Usually, only dynamic assays are considered capable to study such viscoelastic relaxation mechanisms. In this work, we propose analytical responses with single or multiple power-law relaxation behavior by generalizing classical viscoelastic models in terms of fractional derivatives of arbitrary order alpha (0 <= alpha <= 1). In addition, we demonstrate that simple atomic force microscopy force curves are powerful methods to directly observe the viscoelastic relaxation of such complex materials. In order to validate our findings, we compare the viscoelastic relaxation exponents measured directly from simple force curves (SFCs) with those measured with dynamic techniques in both living cells and polyacrylamide gels. We believe the fractional models unveiled here describe a variety of complex materials and may be used (with SFCs) to explore sophisticated viscoelastic phenomena.

@article{WOS:000657922800001, abstract = {Complex viscoelastic materials exhibit power law (PL) relaxations, as opposed to simple materials described by exponential decays. Other interesting materials, like living cells, hold a universal double PL behavior whose exponents depend on the health and type of the cells. Usually, only dynamic assays are considered capable to study such viscoelastic relaxation mechanisms. In this work, we propose analytical responses with single or multiple power-law relaxation behavior by generalizing classical viscoelastic models in terms of fractional derivatives of arbitrary order alpha (0 <= alpha <= 1). In addition, we demonstrate that simple atomic force microscopy force curves are powerful methods to directly observe the viscoelastic relaxation of such complex materials. In order to validate our findings, we compare the viscoelastic relaxation exponents measured directly from simple force curves (SFCs) with those measured with dynamic techniques in both living cells and polyacrylamide gels. We believe the fractional models unveiled here describe a variety of complex materials and may be used (with SFCs) to explore sophisticated viscoelastic phenomena.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND}, author = {de Sousa, F B and V, P K Babu and Radmacher, M and Oliveira, C L N and de Sousa, J S}, biburl = {https://www.bibsonomy.org/bibtex/2be0b72bc072a13312aa58b72783b3427/ppgfis_ufc_br}, doi = {10.1088/1361-6463/ac02fa}, interhash = {e87e827b28c2fcec48bdfda3b18cc282}, intrahash = {be0b72bc072a13312aa58b72783b3427}, issn = {0022-3727}, journal = {JOURNAL OF PHYSICS D-APPLIED PHYSICS}, keywords = {cell force law matter} mechanics; microrheology; microscopy; power relaxation; soft viscoelastic {atomic}, number = 33, publisher = {IOP PUBLISHING LTD}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Multiple power-law viscoelastic relaxation in time and frequency domains with atomic force microscopy}, tppubtype = {article}, volume = 54, year = 2021 }