Figure 4
From: Analytical approximations for the amplitude and period of a relaxation oscillator
Analytic and numeric periods for α A and α R . Other parameter values are set to defaults from Table 1. The background is colored according to periods calculated from numerical solutions of the ODE model, and black contour lines are from analytical expressions in Table 2. (A) Full period, τtot. (B) Activation phase, τ1. (C) Recovery phase, τ2. In this and subsequent figures, contour lines are estimated from values calculated on a grid indicated by light background lines. A finer grid would yield smoother contours. The general agreement of the colored contours (ODEs) and the thick contour lines (analytic) indicates an accurate model for the dependence of the period on specific parameters. For example, the time τ1 for the activation phase depends only on α A and not α R , while the recovery phase depends on both. As the degradation rates decrease, the period increases rapidly. Decreasing the degradation rates further can eliminate oscillations.