Time and length scales of autocrine signals in three dimensions
Mathieu Coppey, Alexander M. Berezhkovskii, Stuart C. Sealfon,, Stanislav Y. Shvartsman

TL;DR
This paper develops a model for autocrine signaling in suspended cell cultures, deriving key parameters like ligand fraction, travel distances, and lifetimes, with an application to interferon signaling in immune cells.
Contribution
It introduces a novel theoretical framework for quantifying autocrine signaling dynamics in three dimensions using the effective medium approximation.
Findings
Derived expressions for ligand fraction and travel distances
Applied model to interferon signaling in dendritic cells
Provided insights into ligand lifetime distributions
Abstract
A model of autocrine signaling in cultures of suspended cells is developed on the basis of the effective medium approximation. The fraction of autocrine ligands, the mean and distribution of distances traveled by paracrine ligands before binding, as well as the mean and distribution of the ligand lifetime are derived. Interferon signaling by dendritic immune cells is considered as an illustration.
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