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Mechanistic model of hormonal contraception

Fig 9

Hopf bifurcations.

Bifurcation diagram representing location of Hopf bifurcations in the (edose, pdose) space. Solutions below the curve of Hopf bifurcations are periodic and solutions above the curve are steady state. Our total contraception as we have defined it then occurs along this curve of Hopf bifurcations. Any doses falling above the curve are totally contraceptive and any below are not. The low dose combination that we tested (used in Fig 8) is shown with a red star and falls just into the steady state region. The progestin (used in Fig 5) and estrogen (used in Fig 7) only doses can be seen approximately where the Hopf curve intersects the axes.

Fig 9

doi: https://doi.org/10.1371/journal.pcbi.1007848.g009