dc.contributor.author Ji, Shuguan dc.contributor.author Liu, Weishi dc.contributor.author Zhang, Mingji dc.date.accessioned 2016-12-05T19:43:08Z dc.date.available 2016-12-05T19:43:08Z dc.date.issued 2015-01-15 dc.identifier.citation Ji, S., Liu, W., & Zhang, M. (2015). Effects of (Small) Permanent Charge and Channel Geometry on Ionic Flows via Classical Poisson--Nernst--Planck Models. SIAM Journal on Applied Mathematics, 75(1), 114-135. en_US dc.identifier.uri http://hdl.handle.net/1808/22149 dc.description.abstract In this work, we examine effects of permanent charges on ionic flows through ion channels via a quasi-one-dimensional classical Poisson--Nernst--Planck (PNP) model. The geometry of the three-dimensional channel is presented in this model to a certain extent, which is crucial for the study in this paper. Two ion species, one positively charged and one negatively charged, are considered with a simple profile of permanent charges: zeros at the two end regions and a constant $Q_0$ over the middle region. The classical PNP model can be viewed as a boundary value problem (BVP) of a singularly perturbed system. The singular orbit of the BVP depends on $Q_0$ in a regular way. Assuming $|Q_0|$ is small, a regular perturbation analysis is carried out for the singular orbit. Our analysis indicates that effects of permanent charges depend on a rich interplay between boundary conditions and the channel geometry. Furthermore, interesting common features are revealed: for $Q_0=0$, only an average quantity of the channel geometry plays a role; however, for $Q_0\neq 0$, details of the channel geometry matter; in particular, to optimize effects of a permanent charge, the channel should have a short and narrow neck within which the permanent charge is confined. The latter is consistent with structures of typical ion channels. en_US dc.publisher Society for Industrial and Applied Mathematics en_US dc.rights © 2015, Society for Industrial and Applied Mathematics en_US dc.title Effects of (Small) Permanent Charge and Channel Geometry on Ionic Flows via Classical Poisson--Nernst--Planck Models en_US dc.type Article en_US kusw.kuauthor Liu, Weishi kusw.kudepartment Mathematics en_US dc.identifier.doi 10.1137/140992527 en_US kusw.oaversion Scholarly/refereed, publisher version en_US kusw.oapolicy This item meets KU Open Access policy criteria. en_US dc.rights.accessrights openAccess
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