title: Control of CNP homeostasis in herbivore consumers through differential assimilation.
abstract: Stoichiometric analysis recognizes that a herbivore is a mixture of multiple chemical elements, especially C, N, and P, that are fixed in various proportions. In the face of a variable quality food supply, herbivores must regulate ingested nutrients to maintain a homeostatic state. We develop a dynamic mathematical model, based on differential assimilation, that controls the C:N and C:P ratios in a herbivore within given tolerance ranges; the actual mathematical mechanism is to define the absorption coefficients to be dependent on these elemental ratios. The model inputs variable, time-dependent food and grazing rates and calculates the net dynamic consumer production (growth) of C, N, and P. It shows that total growth is equally sensitive to variations in both food quality and in assimilation rates, and it shows quantitatively how C-, N-, or P-limited growth could occur at different periods during the development period. The analysis generalizes earlier work limited to just two elements.
authors.affiliation: Department of Mathematics, University of Nebraska, P.O. Box 880323, Lincoln NE 68588-0323, USA. dlogan@math.unk.edu
authors.forename: J David
authors.initials: JD
authors.lastname: Logan
authors.forename: Anthony
authors.initials: A
authors.lastname: Joern
authors.forename: William
authors.initials: W
authors.lastname: Wolesensky
mesh_terms: D000818:Animals; D002244:Carbon / Q000378:metabolism*; D003198:Computer Simulation; D005247:Feeding Behavior / Q000502:physiology; D006706:Homeostasis / Q000502:physiology; D007313:Insecta / Q000378:metabolism*; D008954:Models, Biological; D009584:Nitrogen / Q000378:metabolism*; D010758:Phosphorus / Q000378:metabolism*; D010944:Plants
chemical_list: D010758:Phosphorus; D002244:Carbon; D009584:Nitrogen