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\begin{equation} \left{ \begin{split} t < 0 : 1\ 0 \leqslant t < 6 : y_{min} + (1 - y_{min}) \times (2^{\frac{-t}{ths}} - \frac{t}{6} \times 2^{\frac{-6}{ths}})\ t \geqslant 6 : y_{min} + (1 - y_{min}) \times (1-2^{\frac{-(t-6)}{thr}}) \end{split} \right. \end{equation}
\begin{equation} \left{ \begin{split} t < 0 : y_{min} + (1 - y_{min})\ 0 \leqslant t < 6 : y_{min} + (1 - y_{min}) \times (2^{\frac{-t}{ths}} - \frac{t}{6} \times 2^{\frac{-6}{ths}})\ t \geqslant 6 : y_{min} + (1 - y_{min}) \times (1-2^{\frac{-(t-6)}{thr}}) \end{split} \right. \end{equation}
\begin{equation} \left{ \begin{split} y_{min} + (1 - y_{min}) for t < 0 \ y_{min} + (1 - y_{min}) \times (2^{\frac{-t}{ths}} - \frac{t}{6} \times 2^{\frac{-6}{ths}}) for 0 \leqslant t < 6 \ y_{min} + (1 - y_{min}) \times (1-2^{\frac{-(t-6)}{thr}}) for t \geqslant 6 \end{split} \right. \end{equation}
\begin{equation} \left{ \begin{split} y_{min} + (1 - y_{min}) \ for \ t < 0 \ y_{min} + (1 - y_{min}) \times (2^{\frac{-t}{ths}} - \frac{t}{6} \times 2^{\frac{-6}{ths}}) \ for \ 0 \leqslant t < 6 \ y_{min} + (1 - y_{min}) \times (1-2^{\frac{-(t-6)}{thr}}) \ for \ t \geqslant 6 \end{split} \right. \end{equation}
\begin{alignat}{2} x & = y &&+ z\ x_1 & = y_1 &&+ z_1 \end{alignat}
\begin{equation} \rfrac{growth \ rate_t}{\overline{growth \ rate(control)_t}} \end{equation}
\begin{equation} \frac{growth \ rate_t}{\overline{growth \ rate(control)_t}} \end{equation}
\begin{equation} \frac{growth \ rate_t}{\overline{growth \ rate}_{control_t}} \end{equation}
\begin{equation} \frac{growth \ rate_t}{\overline{growth \ rate_{control_t}}} \end{equation}
\begin{equation} \rfrac{gr_t}{\overline{gr(control)_t}} \end{equation}