ATTENTION: The software behind KU ScholarWorks is being upgraded to a new version. Starting July 15th, users will not be able to log in to the system, add items, nor make any changes until the new version is in place at the end of July. Searching for articles and opening files will continue to work while the system is being updated.
If you have any questions, please contact Marianne Reed at mreed@ku.edu .
Effects of (Small) Permanent Charge and Channel Geometry on Ionic Flows via Classical Poisson--Nernst--Planck Models
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 |