The human immune response to bacterial pathogens is a remarkably complex process, involving many different cell types, chemical signals, and extensive lines of communication. Mathematical models of this system have become increasingly high-dimensional and complicated, as researchers seek to capture many of the major dynamics. In this paper, we argue that, in some important instances, preference should be given to low-dimensional models of immune response, as opposed to their high-dimensional counterparts. One such model is analyzed and shown to reflect many of the key phenomenological properties of the immune response in humans. Notably, this model includes a single parameter values, may be used to quantify the overall immuno-competence of individual hosts.
Copyright © 2013 Springer US.
The definitive version is available at: http://link.springer.com/article/10.1007/s11538-013-9854-1
Caudill, Lester. "A Single-Parameter Model of the Immune Response to Bacterial Invasion." Bulletin of Mathematical Biology 75, no. 9 (2013): 1434-1449. doi:10.1007/s11538-013-9854-1.
Caudill, Lester, "A Single-Parameter Model of the Immune Response to Bacterial Invasion" (2013). Department of Math & Statistics Faculty Publications. 157.