Amplitude bounds for biochemical oscillators
arXiv:1712.01523 · doi:10.1209/0295-5075/119/58004
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