Event Abstract Back to Event A revised correlation between molecular weight between crosslinks and equilibrium degree of swelling of hydrogel networks Dany J. Munoz-Pinto1 and Mariah S. Hahn2 1 Trinity University, Engineering Science, United States 2 Rensselaer Polytechnic Institute, Biomedical Engineering, United States Introduction: Among hydrogels properties, characterization of their capacity to transport solutes of different sizes is of great relevance for the biomedical community. Their diffusional capacity has been commonly estimated using the average molecular weight between crosslinks (Mc) which is calculated using equilibrium degree of swelling data[1]. However, the current correlation lacks of sensitivity and fails to accurately reflect the diffusional properties of more highly crosslink hydrogel networks[2]. To address this limitation, the present work first evaluated the robustness of the standard swelling correlation using poly(ethylene glycol) diacrylate (PEGDA) as a material model. The strength of the correlation was assessed by contrasting swelling and mechanical behavior as functions of hydrogel crosslink density (ρx).Second, an independent assessment of hydrogel mesh size (ξ) by molecular size exclusion (MSE) was utilized to calculate ρx. The resulting set of data followed more general trends for swelling and modulus. Finally, using the MSE data, an improved correlation between Mc and degree of swelling was generated. Material and Methods: Hydrogel Preparation. Hydrogels were prepared by the photopolymerization of aqueous solutions of 3.4, 6.0, 10.0 and 20.0 kDa PEGDA. For each PEGDA MW, six distinct polymer concentrations ranging from 8 to 30 wt% were characterized. Swelling Measures. The volumetric swelling ratios at the swollen and relaxed states (Q and Q’) were calculated from the hydrogel initial, swollen and dry weights. Mc and ρx for each hydrogel formulation were then determined using swelling data correlations[1]. Mesh Size Evaluation. Mesh size was independently estimated by molecular size exclusion experiments[3],[4]. The measured ξ was then used to back calculate Mc and ρx. Tensile Modulus (E) Evaluation. The modulus of each formulation was determined from the slope of the linear portion of the stress-strain curve using a ring test method and an Instron 3342 mechanical tester[5]. New Swelling Correlation Model. To generate a new model to correlate Mc and swelling data, the value 1/Mc from the MSE data and the effective number of chain per unit volume (Vc) from swelling data were fit to the linear model: 1/Mc=a+bVc'. Where Vc'=f(Q,Q')*Vc. Results and Discussion: As expected, Q and E of PEGDA hydrogels as functions of ρx exhibited a tradeoff behavior for both sets of data (Fig. 1A and 1B).However only the ρx estimates based on MSE-based mesh size measures (Fig. 1B) resulted in a general ρx-Q trend, which was independent of PEGDA MW. Furthermore, the data from MSE model was used to derive an improved correlation between Mc and degree of swelling of hydrogel networks (Fig. 1C). Conclusions: The current data shows that the values of 1/Mc can potentially be calculated from swelling data using a modified version of the current correlation. Although in this work we used PEGDA as a model, this correlation can potentially be extended to other polymer networks.
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