We consider a genetic model which is adapted from the one described in [1]. The dynamics is defined by the following ODE:

We consider the initial set

and the time horizon [0,3]. The following figures shows the projections of the interval overapproximations of the flowpipes computed by Flow* 2.1.0. The total time cost is about 100 seconds.

### References

[1] J. M. G. Vilar, H. Y. Kueh, N. Barkai, and S. Leibler.

*Mechanisms of noise-resistance in genetic oscillators.*

Proc. of the National Academy of Sciences of the United States of America, 99(9):5988–5992, 2002.

[2] X. Chen and S. Sankaranarayanan.

*Decomposed Reachability Analysis for Nonlinear Systems.*

In IEEE Real Time Systems Symposium (RTSS), pp. 13-24, 2016.