$\mathrm{flagresorption}(-\mathrm{x1bar}+\mathrm{x1})$ $\left(\frac{\mathrm{beta1}}{\mathrm{alpha1}}\right)^{\left(\frac{\mathrm{g12}}{\mathrm{gamma}}\right)}\left(\frac{\mathrm{beta2}}{\mathrm{alpha2}}\right)^{\left(\frac{1-\mathrm{g11}}{\mathrm{gamma}}\right)}$ $\mathrm{x1}$ $\mathrm{Ratex1appearancemagnitude}\mathrm{Ratex1appearanceOnOff}\mathrm{Ratex1appearanceOnOffPiecewise}$ $\mathrm{flagformation}(-\mathrm{x2bar}+\mathrm{x2})$ $\mathrm{x2}$ $\mathrm{g12}\mathrm{g21}-(1-\mathrm{g11})(1-\mathrm{g22})$ $\mathrm{beta1basalvalue}+\mathrm{beta1increaseOnOff}\mathrm{beta1increasevalue}$ $\frac{100z}{\mathrm{plotzyaxisdenominator}}$ $\left(\frac{\mathrm{beta1}}{\mathrm{alpha1}}\right)^{\left(\frac{1-\mathrm{g22}}{\mathrm{gamma}}\right)}\left(\frac{\mathrm{beta2}}{\mathrm{alpha2}}\right)^{\left(\frac{\mathrm{g21}}{\mathrm{gamma}}\right)}$ $-\mathrm{initialvaluex2}+\mathrm{y2}+\mathrm{x2}$ $\mathrm{Ratex1appearance}+\mathrm{alpha1}(1-\mathrm{Fig7AR1alphaOnOff}+\mathrm{Fig7AR1alphaOnOff}\mathrm{x1}^{\mathrm{g11}}\mathrm{x2}^{\mathrm{g21}})$ $\mathrm{beta1}\mathrm{x1}$ $\mathrm{alpha2}\mathrm{x1}^{\mathrm{g12}}\mathrm{x2}^{\mathrm{g22}}$ $\mathrm{beta2}\mathrm{x2}$ $\mathrm{k1}\mathrm{y1}$ $\mathrm{k2}\mathrm{y2}$ $\mathrm{x2}> \mathrm{x2bar}$ $0$ $1$ $\mathrm{time}\ge \mathrm{Ratex1appearancetimesecond}$ $0$ $1$ $\mathrm{x1}> \mathrm{x1bar}$ $0$ $1$ $\mathrm{x1}\le \mathrm{x1bar}$ $0$ $0$ $\mathrm{time}> \mathrm{Ratex1appearanceduration}+\mathrm{Ratex1appearancetimefirst}$ $0$ $0$ $\mathrm{time}< \mathrm{Ratex1appearancetimefirst}$ $0$ $0$ $\mathrm{time}\ge \mathrm{beta1increaseOntime}$ $0$ $\mathrm{beta1increasevalue2}$ $1$ $\mathrm{time}\ge \mathrm{Ratex1appearancetimefirst}$ $0$ $1$ $\mathrm{time}> \mathrm{Ratex1appearanceduration}+\mathrm{Ratex1appearancetimesecond}$ $0$ $0$ $\mathrm{x2}\le \mathrm{x2bar}$ $0$ $0$