deletions | additions       diff --git a/Estimating phases from signal.tex b/Estimating phases from signal.tex  index 08dec02..8ca736e 100644  --- a/Estimating phases from signal.tex  +++ b/Estimating phases from signal.tex 
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For the circadian clock.  \begin{align*}   \textrm{d}\theta_t &= =&  \frac{2\pi}{T_1}\textrm{d}t + \sigma_{\theta}\textrm{d}W_t\\ \textrm{d}\lambda_t &= =&  -\gamma_{\lambda} (\lambda_t-\mu_{\lambda}) \textrm{d}t + \sigma_{\lambda}\textrm{d}W_t\\ \textrm{d}B_t &= =&  -\gamma_B (B_t-\mu_B) \textrm{d}t + \sigma_{B} \textrm{d}W_t\\ \end{align*}  The model links the observed circadian signal $s_t$ to the circadian phase $\theta_t$ through a waveform $w(\theta)$, an amplitude $\exp(\lambda_t)$ and a baseline $B_t$: