A Continuum Model of Mucosa with Glycan‐Ion Pairing

JD Sterling, SM Baker - Macromolecular Theory and …, 2018 - Wiley Online Library
JD Sterling, SM Baker
Macromolecular Theory and Simulations, 2018Wiley Online Library
Advances in the study of glycosoaminoglycan biohydrogels, label‐free electrokinetic
analysis of soft‐diffuse layers in contact with saline solutions, and elucidation of ion‐specific
behavior in many biochemical systems offer the opportunity to marry these principal features
in a new mathematical model of the mucosal glycocalyx. The model is based on the
electroquasistatic subset of Maxwell's equations in the form of the steady‐state continuum
Poisson–Boltzmann equation for electrostatics with explicit incorporation of pairwise binding …
Abstract
Advances in the study of glycosoaminoglycan biohydrogels, label‐free electrokinetic analysis of soft‐diffuse layers in contact with saline solutions, and elucidation of ion‐specific behavior in many biochemical systems offer the opportunity to marry these principal features in a new mathematical model of the mucosal glycocalyx. The model is based on the electroquasistatic subset of Maxwell's equations in the form of the steady‐state continuum Poisson–Boltzmann equation for electrostatics with explicit incorporation of pairwise binding of ions to fixed charged‐groups in the hydrogel. The pairwise association is modeled using reversible bimolecular reactions via stoichiometric dissociation constants that represent the rule of matching water affinities—the observation that similar hydration structures of the pair results in less dissociation. Applications of the model to specific gels and salts, including a heparin star polyethylene glycol (starPEG) biohydrogel and the airway surface liquid layer in cystic fibrosis, are presented to postulate some quantitative consequences of glycocalyx ion partitioning.
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