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2. Amplitude bounds for biochemical oscillators

Author

David J. Jörg

Subjects
0301 basic medicine, Physics, Analytical expressions, Oscillation, Mathematical analysis, FOS: Physical sciences, General Physics and Astronomy, 01 natural sciences, Nonlinear Sciences - Adaptation and Self-Organizing Systems, Maxima and minima, 03 medical and health sciences, Nonlinear system, 030104 developmental biology, Amplitude, Negative feedback, 0103 physical sciences, 010306 general physics, Maxima, Adaptation and Self-Organizing Systems (nlin.AO)
Abstract

We present a practical method to obtain bounds for the oscillation minima and maxima of large classes of biochemical oscillator models that generate oscillations through a negative feedback. These bounds depend on the feedback nonlinearity and are independent of explicit or effective feedback delays. For specific systems, we obtain explicit analytical expressions for the bounds and demonstrate their effectiveness in comparison with numerical simulations., 6 pages, 4 figures

Published
2017
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