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<h1 class="title toc-ignore">Solving ODEs in the wild: Scalable pharmacometrics with Stan</h1>
<h4 class="author"><em>Sebastian Weber, <a href="mailto:[email protected]">[email protected]</a></em></h4>
<h4 class="date"><em>20th May 2018</em></h4>
<div id="abstract" class="section level1">
<h1>Abstract</h1>
<p>Pharmacometric modeling involve nonlinear hierarchical models which are most naturally expressed as ordinary differential equations. These class of models lead to a number of challenges which complicate a practical modeling work-flow in Stan. At the example of the public Warfarin data-set I will present solutions to these. I will first illustrate the concept of forcing functions and how to use these efficiently in Stan. Moreover, I will show how the hierarchical structure of the problem is most efficiently taken advantage of to parallelize the model computations which expedites the model evaluation time and allows to scale Stan’s performance to large data-sets given sufficient computing resources.</p>
</div>
<div id="introduction" class="section level1">
<h1>Introduction</h1>
<p>A drug therapy aims to treat a disease state. The drug is administered through some route in order to reach some location in the human body where the drug is active. The the human body is exposed to the drug and a readily accessible measure for drug exposure is the drug concentration in blood which is often taken as surrogate for exposure at the target tissue. The key to a successful therapy is to attain quickly an adequate exposure which is high enough for a sufficient effect to be reached, but low enough to avoid undesired adverse affects. This defines the so-called therapeutic window within which one aims to maintain patients using an adequate dosing regimen.</p>
<p>Pharmacometrics now aims to model the longitudinal history of a patient being under drug treatment. That is, one models how drug intake translates into a drug concentration (pharmacokinetics) and how drug concentration drives some effect (pharmacodynamics) over time. These processes are most naturally stated as ordinary differential equations (ODEs) where the phamacokinetics (PK) follows mass-action kinetics and the pharmacodynamics (PD) is modeled using a link process relating drug concentration (PK) with drug effect (PD).</p>
<p>This translates mathematically into a forced ODE problem. The PK model describes the so-called absorption, distribution, metabolism and elimination process (ADME). The PK model itself is externally driven by the input into the system which is the intake of drug amount over time. The intake of drug amount is referred to as dosing regimen and is known as data in advance or recorded during the trial. The PD model then describes the effect of the drug concentration on some measure of efficacy or safety.</p>
<p>Oftentimes these problems are approached in a two-step manner. First the PK model is informed using blood concentration data. Then the model parameters are fixed and the PD model is informed. Thus, the PK model becomes a forcing function to the PD model. The “clean” Bayesian solution is a joint fit of the combined model, but oftentimes a two-step approach is much quicker to implement and it gives a great example for forcing functions here.</p>
<p>In the following I will first introduce the warfarin data-set, then illustrate the concept of forcing functions and how to introduce them efficiently in Stan. Finally, I will show how the hierarchical problem structure can be used most efficiently to parallelize computations and expedite the model evaluation time for the example at hand, but most importantly enable Stan to scale it’s performance to large data sets when given sufficient computing resources.</p>
<div id="anticoagulant-warfarin" class="section level2">
<h2>Anticoagulant Warfarin</h2>
<div id="pharmacokinetics" class="section level3">
<h3>Pharmacokinetics</h3>
<p>Warfarin is an anticoagulant (blood thinner) used to prevent strokes in certain conditions. The pharmacokinetics of Warfarin <span class="citation">(O’Reilly, Aggeler, and Leong 1963,<span class="citation">Holford (1986)</span>)</span> is well-described by a one compartmental model which states that drug amounts (mass) is cleared from a compartment via a first order process,</p>
<p><span class="math display">\[ d(C_i(t) \, V_i)/dt = - Cl_i \, C_i(t) + f_{in,i}(t).\]</span></p>
<p>Here the index <span class="math inline">\(i\)</span> labels patients and the quantities introduced are</p>
<ul>
<li><span class="math inline">\(C_i(t)\)</span>: Drug concentration in the central compartment at time-point <span class="math inline">\(t\)</span>.</li>
<li><span class="math inline">\(V_i\)</span>: Apparent volume of the central compartment.</li>
<li><span class="math inline">\(Cl_i\)</span>: Clearance of the drug from the central compartment in units of mass per volume.</li>
<li><span class="math inline">\(f_{in,i}(t)\)</span>: Uptake of drug into the system which is determined by the route of administration.</li>
</ul>
<p>Note that while we measure <em>concentrations</em> <span class="math inline">\(C_i(t)\)</span> of some patient <span class="math inline">\(i\)</span>, the mass-action kinetics holds for <em>mass</em>. Moreover, the uptake of drug may occur through various routes like intra-venous injections, intra-venous infusions or oral administration. The example data set studied a single orally administered Warfarin dose of 1.5mg/kg. Oral administration is usually well-described by a first order process itself (input rate is proportional to <span class="math inline">\(k_{a,i}\)</span>) such that the full PK system is most conveniently written as</p>
<p><span class="math display">\[ d(a_i(t))/dt = - k_{a,i} \, a_i(t)\]</span> <span class="math display">\[ d(C_i(t) \, V_i)/dt = - Cl_i \, C_i(t) + k_{a,i} \, a_i(t).\]</span></p>
<p>Fortunately, this ODE system can solved analytically. After administration of a single dose at <span class="math inline">\(t=0\)</span> the solution is</p>
<p><span class="math display">\[ C_i(t) = \frac{D_i}{V_i} \, \frac{k_{a,i}}{k_{a,i} - Cl_i/V_i}
\left( \exp{(-Cl_i/V_i \, t)} - \exp{(-k_{a,i} \, t)}\right).\]</span></p>
<p>However, Warfarin has (as many drugs) an additional important property which is a delay of the drug-uptake. Thus, administering the drug at <span class="math inline">\(t=t_0\)</span> does not cause an immediate diffusion of the drug to the central compartment, but rather it takes some amount of time <span class="math inline">\(t_{lag}\)</span> to see a non-zero concentration in the main compartment. The need for a time lag suggests that the actual absorbtion process is likely more involved than a simple first process, but a lag time is adequate here to account for it given that the interest is in time-scales much larger than the lag time. One approach to account for the lag time is to infer <span class="math inline">\(t_{lag}\)</span> and then shift the analytic solution without a lag time by this amount. So the starting time of drug uptake is shifted by <span class="math inline">\(t_{lag}\)</span>. While common in practice, this introduces the need for a discontinuous if-statement which depends on a parameter. This is not ideal for the performance of any gradient based approach like Stan’s NUTS.</p>
<p>The data set we consider comprises 32 patients. For 14 patients blood samples measuring the concentration in the central compartement have been taken starting from 0.5h post oral dose administration while for 18 patients sampling started at 24h post oral dose administration. The hierarchical model for the parameters is</p>
<p><span class="math display">\[ \mbox{logit}^{-1}(t_{lag,i}/t_{lag,max}) \sim N(\nu_1, \sigma_1^2)\]</span> <span class="math display">\[ \log(k_{a,i}) \sim N(\nu_2, \sigma_2^2) \]</span> <span class="math display">\[ \log(Cl_i) \sim N(\nu_3 + 3/4 \, \log(wt_i/70kg), \sigma_3^2)\]</span> <span class="math display">\[ \log(V_i) \sim N(\nu_4 + \log(wt_i/70kg), \sigma_4^2).\]</span></p>
<p>The model takes allometric scaling into account for the clearance and volume. This scaling accounts for a size dependent metabolic activity of the organs involved in eliminating the drug and the slopes are derived from first principles. The fit of the PK model is shown below for 4 patients as an example and for the full population. All codes are provided in this notebook, but in the following we will concentrate on the pharmacodynamic model of Warfarin. The parameters of the PK model are in the following assumed known and they are set to the median values of the PK model fit.</p>
<p><img 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" 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" /><!-- --></p>
</div>
<div id="pharmacodynamics" class="section level3">
<h3>Pharmacodynamics</h3>
<p>The effect of Warfarin is to thin blood and a quantitative measure is its effect on the prothrombin complex levels in relation to normal levels.</p>
<p>In the following, the pharmacodynamics will be conditioned on the pharmacokinetic model and since we have fixed the model parameters, the PK model is effectively a forcing function to the PD model. Thus, the concentration <span class="math inline">\(C_i(t)\)</span> at time <span class="math inline">\(t\)</span> for patient <span class="math inline">\(i\)</span> can be treated as data within the context of the PD model. An appropriate PD model for the effect of Warfarin on prothrombin complex levels is the turn-over model. The turn-over model is semi-mechanistic since it is certainly an over-simplification of the biological processes, but it is still motivated by biological rationale. Specifically, the response <span class="math inline">\(R_i(t)\)</span> is considered to be represented by a compartment which has a zero-order influx <span class="math inline">\(k_{in,i}\)</span> and a first order out-flux <span class="math inline">\(k_{out,i}\)</span>. The drug-effect may enter this model through an inhibition or stimulation of either process. For Warfarin <span class="citation">(O’Reilly and Aggeler 1968,<span class="citation">Holford (1986)</span>)</span>, an inhibition of the zero-order <span class="math inline">\(k_{in}\)</span> is an adequate choice,</p>
<p><span class="math display">\[ dR_i/dt = k_{in,i} \, (1 - \frac{C_i(t)}{C_i(t) + EC50_i}) - k_{out,i} \, R_i \]</span> <span class="math display">\[ \Leftrightarrow dR_i/dt = k_{in,i} \, \left\{1 - \mbox{logit}^{-1}[\log(C_i(t)) - \log(EC50_i)]\right\} - k_{out,i} \, R_i. \]</span></p>
<p>Whenever the drug concentration is equal to the <span class="math inline">\(EC50_i\)</span> value, then half of the full drug effect is reached. Furthermore, in absence of drug, the response <span class="math inline">\(R_i\)</span> will reach a steady-state which is <span class="math inline">\(R_{i,ss} = \frac{k_{in,i}}{k_{out,i}}\)</span> (just set <span class="math inline">\(dR_i/dt=0\)</span>). Since at <span class="math inline">\(t=0\)</span> the human body is free of any drug and we assume that at <span class="math inline">\(t=0\)</span> the system is in steady-state such that the response at <span class="math inline">\(t=0\)</span> is used to set <span class="math inline">\(k_{in,i}\)</span> by multiplication with <span class="math inline">\(k_{out,i}\)</span> (so we do not fit <span class="math inline">\(k_{in}\)</span> as an independent parameter). The hierarchial model structure for the PD model is</p>
<p><span class="math display">\[ \log(R_{0,i}) \sim N(\theta_1, \omega_1^2)\]</span> <span class="math display">\[ \log(1/k_{out,i}) \sim N(\theta_2, \omega_2^2)\]</span> <span class="math display">\[ \log(EC50_{i}) \sim N(\theta_3, \omega_3^2).\]</span></p>
<p>In this form, the turn-over model describes a reduction of the response variable as a result of drug treatment, since the value of <span class="math inline">\(k_{in}\)</span> is decreased through the drug. This is in line with the raw data:</p>
<p><img 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" /><!-- --></p>
<p>The ODE functor which defines the turn-over model could look like shown below when coded in Stan:</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"> real[] <span class="kw">turnover_kin_inhib_1</span>(real t, real[] R, real[] theta, real[] x_r, int[] x_i) {
real ldose =<span class="st"> </span>x_r[<span class="dv">1</span>];
real llag =<span class="st"> </span>x_r[<span class="dv">2</span>];
real lka =<span class="st"> </span>x_r[<span class="dv">3</span>];
real lCl =<span class="st"> </span>x_r[<span class="dv">4</span>];
real lV =<span class="st"> </span>x_r[<span class="dv">5</span>];
real lconc =<span class="st"> </span><span class="kw">pk_1cmt_oral_tlag</span>([t]<span class="st">', ldose, llag, lka, lCl, lV)[1];</span>
<span class="st"> real lkout = -theta[2];</span>
<span class="st"> real lkin = theta[1] + lkout;</span>
<span class="st"> real lEC50 = theta[3];</span>
<span class="st"> real lS = log_inv_logit(lconc - lEC50);</span>
<span class="st"> </span>
<span class="st"> // dRdt = kin * (1 - C/(C + EC50)) - R * kout</span>
<span class="st"> return { exp(lkin + log1m_exp(lS)) - R[1] * exp(lkout) };</span>
<span class="st"> }</span></code></pre></div>
<p>It is a good practice to visualize the ODE solution with typical values (for example those values used to define prior means) before using the ODE functor inside Stan. In R this can be achieved through the use of <code>deSolve</code> and <code>expose_stan_functions</code>:</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">library</span>(deSolve)
## ensure we cache the binaries of the compiled functions
<span class="kw">options</span>(<span class="dt">rcpp.cache.dir=</span><span class="st">"."</span>)
<span class="kw">expose_stan_functions</span>(pd_model1_gen)
## model function passed to deSolve
model <-<span class="st"> </span><span class="cf">function</span>(time, y, theta) {
## use dR/dt ODE functor defined in Stan model
dR <-<span class="st"> </span><span class="kw">turnover_kin_inhib_1</span>(time, y[<span class="dv">1</span>], theta, x_r, x_i)
<span class="kw">list</span>(<span class="kw">c</span>(dR))
}
theta <-<span class="st"> </span><span class="kw">log</span>(<span class="kw">c</span>(<span class="dv">100</span>, <span class="dv">20</span>, <span class="fl">0.5</span>))
x_r <-<span class="st"> </span><span class="kw">log</span>(<span class="kw">c</span>(<span class="dv">100</span>, <span class="fl">0.7</span>, <span class="fl">1.1</span>, <span class="fl">0.13</span>, <span class="dv">8</span>))
x_i <-<span class="st"> </span><span class="kw">c</span>(<span class="dv">0</span>)
initial <-<span class="st"> </span><span class="kw">c</span>(<span class="dt">R=</span><span class="dv">100</span>)
times <-<span class="st"> </span><span class="kw">seq</span>(<span class="dv">0</span>, <span class="dv">200</span>, <span class="dt">by=</span><span class="dv">1</span>)
sim <-<span class="st"> </span><span class="kw">ode</span>(<span class="dt">y=</span>initial, <span class="dt">times=</span>times, <span class="dt">func=</span>model, <span class="dt">parms=</span>theta)
<span class="kw">plot</span>(sim, <span class="dt">main=</span><span class="st">"Turn-over kin inhibition model, R(t)"</span>)</code></pre></div>
<p><img src="data:image/png;base64,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" /><!-- --></p>
<p>This shape of the function roughly resembles the raw data. However, the time to fit this relatively small data set is rather excessive:</p>
<table>
<thead>
<tr class="header">
<th></th>
<th align="right">warmup</th>
<th align="right">sample</th>
<th align="right">Sum</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td>chain:1</td>
<td align="right">13.99</td>
<td align="right">2.06</td>
<td align="right">16.04</td>
</tr>
<tr class="even">
<td>chain:2</td>
<td align="right">12.11</td>
<td align="right">2.07</td>
<td align="right">14.18</td>
</tr>
<tr class="odd">
<td>chain:3</td>
<td align="right">14.27</td>
<td align="right">2.01</td>
<td align="right">16.28</td>
</tr>
<tr class="even">
<td>chain:4</td>
<td align="right">12.25</td>
<td align="right">2.09</td>
<td align="right">14.34</td>
</tr>
</tbody>
</table>
<p>In words, it takes for only 32 patients about 15 minutes for 250 warmup and 250 sampling iterations on a modern machine used inside a high-performance cluster.</p>
<p>The above formulation of the problem tickles a few issues of the current Stan language which we can avoid. In the current Stan language all variable definitions inside a function are automatically considered as parameters if the output of the function is involving parameters of the model, which happens whenever any of the arguments of a function is a parameter. Recall, that the major numerical cost in any Stan program is the gradient calculation of the log-likelihood wrt to all parameters. Inspecting the ODE functor above reveals that all the parameters of the PK model are implicitly turned into parameters due to their declaration in a function which returns a result involving parameters. So, let’s reformulate the ODE functor without these intermediate declarations as shown below:</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"> real[] <span class="kw">turnover_kin_inhib_2</span>(real t, real[] R, real[] theta, real[] x_r, int[] x_i) {
<span class="op">/</span><span class="er">/</span>real ldose =<span class="st"> </span>x_r[<span class="dv">1</span>];
<span class="op">/</span><span class="er">/</span>real llag =<span class="st"> </span>x_r[<span class="dv">2</span>];
<span class="op">/</span><span class="er">/</span>real lka =<span class="st"> </span>x_r[<span class="dv">3</span>];
<span class="op">/</span><span class="er">/</span>real lCl =<span class="st"> </span>x_r[<span class="dv">4</span>];
<span class="op">/</span><span class="er">/</span>real lV =<span class="st"> </span>x_r[<span class="dv">5</span>];
real lconc =<span class="st"> </span><span class="kw">pk_1cmt_oral_tlag_t</span>(t, x_r[<span class="dv">1</span>], x_r[<span class="dv">2</span>], x_r[<span class="dv">3</span>], x_r[<span class="dv">4</span>], x_r[<span class="dv">5</span>]);
real lkout =<span class="st"> </span><span class="op">-</span>theta[<span class="dv">2</span>];
real lkin =<span class="st"> </span>theta[<span class="dv">1</span>] <span class="op">+</span><span class="st"> </span>lkout;
real lEC50 =<span class="st"> </span>theta[<span class="dv">3</span>];
real lS =<span class="st"> </span><span class="kw">log_inv_logit</span>(lconc <span class="op">-</span><span class="st"> </span>lEC50);
<span class="op">/</span><span class="er">/</span><span class="st"> </span>dRdt =<span class="st"> </span>kin <span class="op">*</span><span class="st"> </span>(<span class="dv">1</span> <span class="op">-</span><span class="st"> </span>C<span class="op">/</span>(C <span class="op">+</span><span class="st"> </span>EC50)) <span class="op">-</span><span class="st"> </span>R <span class="op">*</span><span class="st"> </span>kout
return { <span class="kw">exp</span>(lkin <span class="op">+</span><span class="st"> </span><span class="kw">log1m_exp</span>(lS)) <span class="op">-</span><span class="st"> </span>R[<span class="dv">1</span>] <span class="op">*</span><span class="st"> </span><span class="kw">exp</span>(lkout) };
}</code></pre></div>
<p>Doing so leads to less readable code, but it does avoid that the PK model is evaluated with variables which are considered as parameters. In effect, the evaluation of the PK model is much cheaper within this ODE functor. Running now the same model with this modified ODE functor yields a more than doubling of the execution speed:</p>
<table>
<thead>
<tr class="header">
<th></th>
<th align="right">warmup</th>
<th align="right">sample</th>
<th align="right">Sum</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td>chain:1</td>
<td align="right">5.56</td>
<td align="right">1.02</td>
<td align="right">6.58</td>
</tr>
<tr class="even">
<td>chain:2</td>
<td align="right">6.11</td>
<td align="right">0.95</td>
<td align="right">7.06</td>
</tr>
<tr class="odd">
<td>chain:3</td>
<td align="right">6.25</td>
<td align="right">0.96</td>
<td align="right">7.21</td>
</tr>
<tr class="even">
<td>chain:4</td>
<td align="right">6.37</td>
<td align="right">0.99</td>
<td align="right">7.36</td>
</tr>
</tbody>
</table>
<p>Fortunately, the Stan 3 language proposal currently worked on will allow to deliberately declare which variables are data for sure and which ones not. Thus, the rather cumbersome second version shouldn’t be needed in the future with Stan 3.</p>
<p>Finally, here are the posterior predictive distributions for the first 4 patients in the data set and below the posterior predictive for the population with the raw data of all patients.</p>
<p><img 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" 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" /><!-- --></p>
</div>
</div>
<div id="scalable-pharmacometrics" class="section level2">
<h2>Scalable Pharmacometrics</h2>
<p>The example presented so far comprises a very small data set and used on of the simplest PD models. While the presentation so far is no over-simplification, the major issue is the inability to scale Stan’s performance to larger data sets. However, pharmacometric models are by default hierarchical such that patients are modeled exchangeable to one another. Thus the likelihood of a given patient can be evaluated in independence of all other patients. This hierarchical structure can be taken advantage of using the new <code>map_rect</code> facility in Stan. This function applies a user-defined defined function to a set of parameters which are in rectangular data storage format (hence the name of the function). Since each evaluation is independent of all others, these evaluations can be performed in parallel using either threading or the message passing interface (MPI). Threading has less operating system requirements in comparison to MPI, but is limited to the CPUs of the machine a given chain is run on while MPI can be used across multiple machines (typically part of a large high-performance cluster). The <code>map_rect</code> facility is used most efficiently if the function evaluated per subject (or whatever unit) directly returns the log-probability density contribution of the respective subject. This minimizes the communication between the different processes.</p>
<p>The function for the Warfarin example could look like this:</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"> vector <span class="kw">lpdf_subject</span>(vector phi, vector eta, real[] x_r, int[] x_i) {
vector[<span class="dv">3</span>] theta =<span class="st"> </span>phi[<span class="dv">1</span><span class="op">:</span><span class="dv">3</span>];
vector[<span class="dv">3</span>] sigma_eta =<span class="st"> </span>phi[<span class="dv">4</span><span class="op">:</span><span class="dv">6</span>];
real sigma_y =<span class="st"> </span>phi[<span class="dv">7</span>];
real kappa =<span class="st"> </span>phi[<span class="dv">8</span>];
real eta_cov[<span class="dv">3</span>] =<span class="st"> </span><span class="kw">to_array_1d</span>(theta <span class="op">+</span><span class="st"> </span>eta .<span class="op">*</span><span class="st"> </span>sigma_eta);
int start =<span class="st"> </span>x_i[<span class="dv">1</span>];
int end =<span class="st"> </span>x_i[<span class="dv">2</span>]<span class="op">-</span><span class="dv">1</span>;
int Ndv =<span class="st"> </span>x_i[<span class="dv">3</span>];
int N =<span class="st"> </span>end<span class="op">-</span>start<span class="op">+</span><span class="dv">1</span>;
real mu_temp[N,<span class="dv">1</span>] =<span class="st"> </span><span class="kw">integrate_ode_rk45</span>(turnover_kin_inhib_<span class="dv">2</span>,
{ <span class="kw">exp</span>(eta_cov[<span class="dv">1</span>]) }, <span class="op">-</span><span class="fl">1E-4</span>,
x_r[<span class="dv">7</span><span class="op">+</span>start<span class="op">-</span><span class="dv">1</span> <span class="op">:</span><span class="st"> </span><span class="dv">7</span><span class="op">+</span>end<span class="op">-</span><span class="dv">1</span>], <span class="op">/</span><span class="er">/</span><span class="st"> </span>time
eta_cov,
x_r[<span class="dv">1</span><span class="op">:</span><span class="dv">5</span>], <span class="op">/</span><span class="er">/</span><span class="st"> </span>PK parameters
x_i[<span class="dv">1</span><span class="op">:</span><span class="dv">0</span>],
<span class="fl">1E-5</span>, <span class="fl">1E-3</span>, <span class="dv">500</span>
);
vector[N] mu =<span class="st"> </span><span class="kw">to_vector</span>(mu_temp[<span class="op">:</span>,<span class="dv">1</span>]);
return [ <span class="kw">gamma2_overdisp_array_lpdf</span>(x_r[<span class="dv">7</span><span class="op">+</span>Ndv<span class="op">+</span>start<span class="op">-</span><span class="dv">1</span> <span class="op">:</span><span class="st"> </span><span class="dv">7</span><span class="op">+</span>Ndv<span class="op">+</span>end<span class="op">-</span><span class="dv">1</span>]<span class="op">|</span><span class="st"> </span>mu, sigma_y, kappa <span class="op">*</span><span class="st"> </span>x_r[<span class="dv">6</span>] ) ]<span class="st">';</span>
<span class="st"> }</span></code></pre></div>
<p>In the <code>model</code> block this can then be called via:</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"> target <span class="op">+</span><span class="er">=</span><span class="st"> </span><span class="kw">map_rect</span>(lpdf_subject, phi, Eta, x_r, x_i);</code></pre></div>
<p>The speedup for this specific example is shown below when using threading or MPI on a machine with upto 16 cores.</p>
<p><img src="data:image/png;base64,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" /><!-- --></p>
<p>As can be seen, the total wallclock time can be reduced to less than 1 minute when using 16 cores. Moreover, the MPI backend outperforms the threading backend considerably for a single core run and in terms of better scalability. Currently, the thread implementation in Stan relies on C++11 programming language standards. These do defer many implementation details to the compiler used. This will hopefully leave some room for future improvements of the code. From these experiments MPI should be preferred over threading despite the larger burden to setup MPI in comparison to threading.</p>
<p>What is important to emphasize is that the <code>map_rect</code> approach enables to <strong>scale</strong> the performance of a given Stan program and data set. This scalability allows to adapt performance needs in such a way that we get reasonable run times needed for a productive, iterative explorative modeling process (assuming availability of sufficient hardware ressources). As a rule of thumb, hierarchical models with a large computation cost per unit, like ODE models, greatly benefit from the use of <code>map_rect</code>. For a large problem involving <span class="math inline">\(>1300\)</span> patients speedups of up to 61x on 80 cores haven been measured (2.5 days down to 1h computation time) <span class="citation">(Weber 2018)</span>.</p>
</div>
</div>
<div id="conclusion" class="section level1">
<h1>Conclusion</h1>
<p>Stan has come a long way and has as of today all required components for application to realistic pharmacometric problems. These are numerically very challenging and have influenced the Stan development in some aspects considerably (non-stiff/stiff ODE solvers, matrix exponential and now within-chain parallelization). With the recent addition of within-chain parallelization Stan can finally be used as a practical tool for iterative modeling with realistic data-sets as used in pharmacometrics. The <code>map_rect</code> function is currently somewhat clunky to use due to the need for packing and unpacking of parameters and data, but the additional work is well offset by the massive performance gain for large problems whenever sufficient CPU cores are available to the Stan modeler. Once Stan 3 introduces closures for functions, the in-convenient packing/unpacking coding will hopefully be remedied to some extent.</p>
</div>
<div id="references" class="section level1 unnumbered">
<h1>References</h1>
<div id="refs" class="references">
<div id="ref-Holford1986">
<p>Holford, Nicholas H.G. 1986. “Clinical Pharmacokinetics and Pharmacodynamics of Warfarin: Understanding the Dose-Effect Relationship.” Springer International Publishing. doi:<a href="https://doi.org/10.2165/00003088-198611060-00005">10.2165/00003088-198611060-00005</a>.</p>
</div>
<div id="ref-OReilly1963">
<p>O’Reilly, R A, P M Aggeler, and L S Leong. 1963. “Studies on the coumarin antocoagulant drugs: The pharmacodynamics of warfarin in man.” <em>J. Clin. Invest.</em> 42 (10). American Society for Clinical Investigation: 1542–51. doi:<a href="https://doi.org/10.1172/JCI104839">10.1172/JCI104839</a>.</p>
</div>
<div id="ref-OReilly1968">
<p>O’Reilly, R A, and P M Aggeler. 1968. “Studies on coumarin anticoagulant drugs. Initiation of warfarin therapy without a loading dose.” <em>Circulation</em> 38 (1). American Heart Association, Inc.: 169–77. doi:<a href="https://doi.org/10.1161/01.CIR.38.1.169">10.1161/01.CIR.38.1.169</a>.</p>
</div>
<div id="ref-Weber2018">
<p>Weber, Sebastian. 2018. “Supporting drug development as a Bayesian in due time?!” In <em>PAGE Meet. 2018</em>. Montreux, Switzerland. <a href="https://www.page-meeting.org/default.asp?abstract=8735" class="uri">https://www.page-meeting.org/default.asp?abstract=8735</a>.</p>
</div>
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