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  <title>Bayesian Pulsatile Hormone Modeling with R</title>
  <meta name="description" content="A guide to Bayesian pulsatile hormone modeling using the <code>pulsate</code> R package">
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  <meta property="og:description" content="A guide to Bayesian pulsatile hormone modeling using the <code>pulsate</code> R package" />
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  <meta name="twitter:title" content="Bayesian Pulsatile Hormone Modeling with R" />

  <meta name="twitter:description" content="A guide to Bayesian pulsatile hormone modeling using the <code>pulsate</code> R package" />
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<meta name="author" content="Nichole E Carlson, Karen Liu, Matthew J Mulvahill, and Ken Horton">


<meta name="date" content="2018-02-23">

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\(
  % Custom math symbols
  % new ones
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  % general
  \newcommand{\vect}[1]{\boldsymbol{#1}} % Vectors
  % Parameters - specific, frequently used
  \newcommand{\zetavec}{\vect{\zeta}} % vector of zetas existing pulses and characteristics
  %\newcommand{\xivec}{\vect{\xi}} % vector of xis
  \newcommand{\etavec}{\vect{\eta}}         % vector of current pulses/locations
  \newcommand{\tauvec}{\vect{\tau}}         % vector of current pulses/locations
  \newcommand{\taustar}{\tau^{*}}           % tau* new pulse/location
  \newcommand{\tauprime}{\tau^{\prime}}     % tau' specific existing pulse/location
  \newcommand{\omegavec}{\vect{\omega}}     % vector of omega* current widths
  \newcommand{\omegastar}{\omega^{*}}       % omega* new pulse width
  \newcommand{\omegaprime}{\omega^{\prime}} % omega' specific existing width
  \newcommand{\alphavec}{\vect{\alpha}}     % vector of alpha existing masses
  \newcommand{\alphastar}{\alpha^{*}}       % alpha* new pulse mass
  \newcommand{\alphaprime}{\alpha^{\prime}} % alpha' specific existing mass
  \newcommand{\mualpha}{\mu_{\alpha}}       % mean pulse mass
  \newcommand{\muomega}{\mu_{\omega}}       % mean pulse width
  \newcommand{\sigmaalpha}{\sigma_{\alpha}} % SD pulse mass
  \newcommand{\sigmaomega}{\sigma_{\omega}} % SD pulse width
  % Other parms
  \newcommand{\baseline}{\theta_{b}} % frequently used symbol alpha'
  \newcommand{\halflife}{\theta_{h}} % frequently used symbol alpha'
  \newcommand{\meanmass}{\mu_{\alpha}} % frequently used symbol alpha'
  \newcommand{\meanwidth}{\mu_{\omega}} % frequently used symbol alpha'
  \newcommand{\sdmass}{\sigma_{\alpha}} % frequently used symbol alpha'
  \newcommand{\sdwidth}{\sigma_{\omega}} % frequently used symbol alpha'
  \newcommand{\errorvar}{\sigma_{\epsilon}^{2}} % frequently used symbol alpha'
  \newcommand{\thetavec}{\vect{\theta}}

  % Equations - generalized, frequently used
  \newcommand{\srsum}[1]{\sum_{#1} S(R)} % S(R) with summation before
  \newcommand{\sr}[1]{S_{#1}(R)}   % S(R) without summation
\)


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<h1>Preface</h1>
<p><img src="images/predicted.png" width="442" height="372" alt="Cover image" /></p>
<p>This is the website for<br />
<a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png" /></a><br />This work by Nichole Carlson, Matt Mulvahill, Karen Liu, and Ken Horton is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.</p>

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