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• W2897635767 abstract "We report observations of a remarkable scaling behavior with respect to concentration in the passive microbead rheology of two highly entangled polymeric solutions, polyethylene oxide (PEO) and hyaluronic acid (HA). This behavior was reported previously [Hill et al., PLOS ONE (2014)] for human lung mucus, a complex biological hydrogel, motivating the current study for synthetic polymeric solutions PEO and HA. The strategy is to identify, and focus within, a wide range of lag times ${tau}$ for which passive micron diameter beads exhibit self-similar (fractional, power law) mean-squared-displacement (MSD) statistics. For lung mucus, PEO at three different molecular weights (Mw), and HA at one Mw, we find ensemble-averaged MSDs of the form ${langle}{Delta}r^{2}({tau}){rangle} = 4D_{alpha}{tau}^{alpha}$, all within a common band, [1/60 sec, 3 sec], of lag times ${tau}$. We employ the MSD power law parameters $(D_{alpha},{alpha})$ to classify each polymeric solution over a range of highly entangled concentrations. By the generalized Stokes-Einstein relation, power law MSD implies power law elastic $G'({omega})$ and viscous $G''({omega})$ moduli for frequencies $1/{tau}$, [0.33 sec$^{-1}$, 60 sec$^{-1}$]. A natural question surrounds the polymeric properties that dictate $D_{alpha}$ and ${alpha}$, e.g. polymer concentration c, Mw, and stiffness (persistence length). In [Hill et al., PLOS ONE (2014)], we showed the MSD exponent ${alpha}$ varies linearly, while the pre-factor $D_{alpha}$ varies exponentially, with concentration, i.e. the semi-log plot, $(log(D_{alpha}),{alpha})(c)$ of the classifier data is collinear. Here we show the same result for three distinct Mw PEO and HA at a single Mw. Future studies are required to explore the generality of these results for polymeric solutions, and to understand this scaling behavior with polymer concentration." @default.
• W2897635767 created "2018-10-26" @default.
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• W2897635767 date "2018-10-15" @default.
• W2897635767 modified "2023-10-04" @default.
• W2897635767 title "Evidence that self-similar microrheology of highly entangled polymeric solutions scales robustly with, and is tunable by, polymer concentration" @default.
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