Journal Article

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

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

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 15, issue 4, pages 351-366
Published in print December 1998 | ISSN: 1477-8599
Published online December 1998 | e-ISSN: 1477-8602 | DOI: http://dx.doi.org/10.1093/imammb/15.4.351
Surface aggregation patterns of LDL receptors near coated pits I. The radially convective diffusion and generalized insertion mechanism

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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

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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