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. 1969 Feb;9(2):163–172. doi: 10.1016/S0006-3495(69)86377-0

Exclusion of Protein from High Polymer Media

I. Derivation of Probability Distribution for the Number of Fiber Centers Within Any Sphere of Radius r

Paul W Chun, J I Thornby, J G Saw
PMCID: PMC1367425  PMID: 5764226

Abstract

Ogston's (1958) fiber model based on Poisson's distribution function gives the average number of fibers making contact and no contact inside a sphere of radius r. The probability of penetration of spherical particles within a fibrous network was derived from the moment generating function [Formula: see text] A is the number of particles that intrude into a sphere of radious r. α(μ) is the probability that a particle, whose center is μ units away from the origin, intrudes into a sphere of radius r. A has a Poisson distribution with a mean value E(A) = 4πνα(μ)μ2 dμ. The theoretical derivation of the distribution function of A gives Ogston's fiber model.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

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