Estimating the number of tissue resident macrophages

TL;DR

This paper presents a mathematical estimation model for the number of tissue-resident macrophages based on infection control thresholds and pathogen engulfment capacity, providing a simple quantitative framework.

Contribution

It introduces a novel estimation formula for macrophage numbers in tissues derived from infection dynamics and cellular capacity considerations.

Findings

The estimation formula relates macrophage numbers to pathogen load and cellular capacity.

The model suggests macrophage numbers scale with pathogen thresholds and engulfment limits.

Provides a basis for understanding tissue immune cell populations quantitatively.

Abstract

I provide a simple estimation for the number of macrophages in a tissue, arising from the hypothesis that they should keep infections below a certain threshold, above which neutrophils are recruited from blood circulation. The estimation reads Nm=a Ncel^{\alpha}/Nmax, where a is a numerical coefficient, the exponent {\alpha} is near 2/3, and Nmax is the maximal number of pathogens a macrophage may engulf in the time interval, tr, between pathogen replications.