Figure B1.

Illustration of null space of transition probability deviations for different marginal $p({\text{pain}}_{\mathrm{\infty }})$. We show that when the transition probabilities $p({\text{pain}}_{t+1}\mid {\text{pain}}_t)$ and $p({\overline{\text{pain}}}_{t+1}\mid {\overline{\text{pain}}}_t)$ are sampled from the one-dimensional null space of a given marginal probability of pain $p({\text{pain}}_{\mathrm{\infty }})$, the marginal probability $p({\text{pain}}_t)$ will approach and stabilize within the range of $p({\text{pain}}_{\mathrm{\infty }})$. Here, we illustrate the transition probabilities for $p({\text{pain}}_{\mathrm{\infty }})\in [0.1,0.9]$ (legend).