Department of Mathematics and Computer Science, University of Richmond, Richmond, VA, 23173, USA, lcaudill@richmond.edu.
Bulletin of mathematical biology 2013 SepThe 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 that, when combined with a single set of reference parameter values, may be used to quantify the overall immunocompetence of individual hosts.
Lester F Caudill. A single-parameter model of the immune response to bacterial invasion. Bulletin of mathematical biology. 2013 Sep;75(9):1434-49
PMID: 23722296
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