Splinelike interpolation in particle tracking microrheology

• Verfasst von: Maier, Timo [VerfasserIn]
• Verfasst von: Böhm, Heike [VerfasserIn]
• Verfasst von: Haraszti, Tamás [VerfasserIn]
• Titel: Splinelike interpolation in particle tracking microrheology
• Verf.angabe: Timo Maier, Heike Boehm, and Tamás Haraszti
• E-Jahr: 2012
• Jahr: 05 July 2012
• Umfang: 7 S.
• Fussnoten: Gesehen am 15.08.2018
• Titel Quelle: Enthalten in: Physical review / E
• Ort Quelle: College Park, Md. : APS, 1993
• Jahr Quelle: 2012
• Band/Heft Quelle: 86(2012,1) Artikel-nummer 011501, 7 Seiten
• ISSN Quelle: 1550-2376
• DOI: doi:10.1103/PhysRevE.86.011501
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 158008012X

Abstract

Converting time dependent creep compliance to frequency dependent complex shear modulus is an important step in analyzing the results of particle tracking microrheology. Fitting a function to the whole time range and transforming it to calculate the shear modulus is one way of solving this problem. However, the creep compliance of many samples, such as gels of biopolymers, shows different trends under different time regimes. Fitting in these regimes segmentwise results in a function which usually cannot be transformed in a closed analytical form. In general, unlike for beta and cubic splines, also the continuity of the first derivative cannot be ensured. In this paper, we present a method for using segmentwise fitting and numerical conversion, discussing interpolation for improving the transition between the fitted ranges, and propose a dynamic sampling technique to control the accuracy of the resultant complex shear modulus.