Skip Navigation

Mathematical Medicine and Biology 1998 15(4):351-366; doi:10.1093/imammb/15.4.351
© 1998 by Institute of Mathematics and its Applications
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in PubMed
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by SOLANA-ARELLANO, E.
Right arrow Articles by LEAL-RAMÍREZ, C.
Right arrow Search for Related Content
PubMed
Right arrow PubMed Citation
Right arrow Articles by SOLANA-ARELLANO, E.
Right arrow Articles by LEAL-RAMÍREZ, C.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Surface aggregation patterns of LDL receptors near coated pits I. The radially convective diffusion and generalized insertion mechanism

ELENA SOLANA-ARELLANO{dagger}, HECTOR ECHAVERRÍA-HERAS and CECILIA LEAL-RAMÍREZ

Modelling and Theoretical Analysis Research Group, Centra de Investigación Cientifica y Educación Superior de Ensenada BC, Apdo, Postal 2732 CP 2286, Ensenada, BC, México

{dagger} Email: esolana{at}cicese.mx

In this paper we formulate a mathematical model for the receptor mediated endocytotic cycle under the influence of diffusion, radial convection, and generalized receptor reinsertion. The steady state radial concentration function of unbound receptors admits an explicit representation. This can be expressed as a functional of the insertion rate, the diffusion coefficient, and the flow strength. Using the referred functional we study the influence of the aforementioned mechanisms on the surface aggregation pattern of low density lipoprotein (LDL) receptors near coated pits. We perform that analysis on both a theoretical level and by means of simulated receptor aggregation patterns obtained by computer graphics techniques. We conclude that radially convective diffusion in combination with suitable characterizations of the insertion mode are consistent with reported cell surface aggregation patterns.

Keywords: low density lipoprotein endocytosis; unbound receptor surface patterns


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.