Autonomously oscillating biochemical systems: parametric sensitivity of extrema and period.
This work addresses sensitivity analysis of autonomously oscillating biochemical systems. Building on results from the engineering literature, a general analysis is presented which addresses key features of oscillatory trajectories, namely the period and local maximum or minimum values of species concentrations and reaction rates. A discussion of sensitivity invariants generalises results from steady-state sensitivity analysis to this context. The results are illustrated by the application to a model of a circadian oscillator.
Ingalls
B P
BP
Department of Applied Mathematics, University of Waterloo, Ontario, Canada. bingalls@math.uwaterloo.ca
D001671:Biochemistry / Q000379:methods*; D001683:Biological Clocks / Q000502:physiology*; D002468:Cell Physiological Phenomena; D002940:Circadian Rhythm / Q000502:physiology*; D003198:Computer Simulation; D007700:Kinetics; D008954:Models, Biological; D012680:Sensitivity and Specificity; D015398:Signal Transduction / Q000502:physiology*