Stochastic Narrow Escape in Molecular and Cellular Biology by David Holcman & Zeev Schuss

Author:David Holcman & Zeev Schuss
Language: eng
Format: epub
Publisher: Springer New York, New York, NY

(4.11)

where D is the diffusion coefficient of a free glutamate molecule. The partial absorption rate constant κ accounts not only for the fraction of AMPARs inside the PSD, but also for the activation barrier of a single glutamate to a glutamate receptor binding site. The rate constant

(4.12)

The absorption rate constant κ e in (4.12) is obtained by calibration with the experimental value κ e  ≈ 1. 6 (see Sect. 4.7 below and Taflia and Holcman 2011). Here a and R PSD are the radii of a single receptor and the PSD, respectively, and N a is the number of AMPARs. The derivation starts by considering that the N a receptors are placed on the PSD, whose surface area is . The criterion for choosing κ is that the absorption flux be equal to the flux on the last line of (4.11) (see Schuss 2013, Sect. 2.​5). Here D is the diffusion constant of glutamate molecules in the cleft and κ e is the partial reflection rate constant of a single AMPAR on a glutamate molecule. This constant is calibrated from (patch-clamp) experimental data.

The probability that a glutamate molecule binds a receptor released at , is the total probability flux into the receptors, that is, into the absorbing boundary ,

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.