You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
<p>Single-component cosinor analysis models rhythmic biological signals by fitting a sinusoidal function to time-series data (e.g., activity, light exposure, or temperature). This approach enables the quantitative estimation of key rhythm parameters. The regression model is expressed as:</p>
350
-
<p>$$Y(t) = M + A \cos!\left(\frac{2\pi t}{\tau} + \phi\right) + \varepsilon(t)$$</p>
350
+
<p>$$Y(t) = M + A \cos\left(\frac{2\pi t}{\tau} + \phi\right) + \varepsilon(t)$$</p>
351
351
<p>Where:</p>
352
352
<ul class="simple">
353
-
<li><p>M is the MESOR (Midline Estimating Statistic Of Rhythm), representing the rhythm-adjusted mean,</p></li>
354
-
<li><p>A is the amplitude, defined as the half the peak-to-trough variation of the fitted curve,</p></li>
355
-
<li><p>$\tau$ is the assumed period (the duration of one cycle, typically ~24h),</p></li>
356
-
<li><p>$\phi$ is the acrophase, representing the timing of the peak of the fitted rhythm within each cycle,</p></li>
357
-
<li><p>$\varepsilon(t)$ is the residual error term.</p></li>
353
+
<li><p><em>M</em> is the MESOR (Midline Estimating Statistic Of Rhythm), representing the rhythm-adjusted mean,</p></li>
354
+
<li><p><em>A</em> is the amplitude, defined as the half the peak-to-trough variation of the fitted curve,</p></li>
355
+
<li><p><em>τ</em> is the assumed period (the duration of one cycle, typically ~24h),</p></li>
356
+
<li><p><em>φ</em> is the acrophase, representing the timing of the peak of the fitted rhythm within each cycle,</p></li>
357
+
<li><p><em>ε</em>(<em>t</em>) is the residual error term.</p></li>
358
358
</ul>
359
359
<p>In <code class="docutils literal notranslate"><span class="pre">circStudio</span></code>, the cosinor model is implemented following the same principles as in <code class="docutils literal notranslate"><span class="pre">pyActigraphy</span></code> and is consistent with the general design philosophy of other circadian models in the package. Specifically, the workflow involves instantiating a cosinor model and fitting it to an actigraphy-derived time series:</p>
0 commit comments