--- title: "Time-varying covariates" output: rmarkdown::html_vignette vignette: > %\VignetteIndexEntry{Time-varying covariates} %\VignetteEncoding{UTF-8} %\VignetteEngine{knitr::rmarkdown} editor_options: chunk_output_type: console --- ```{r, results='asis', echo=F, message=F, warning=F} if (campsis::on_cran()) { cat( "This vignette was not built on CRAN. Please check out the online version [here](https://campsisverse.github.io/campsis.doc/articles/v12_time_varying_covariates.html)." ) knitr::knit_exit() } ``` ```{r, results='hide', echo=F, message=F, warning=F} library(campsis) ``` This vignette shows how time-varying covariates can be implemented. ### Body weight as a time varying covariate As a demonstration example, let's implement allometric scaling on the clearance and volume of a 1-compartment PK model: ```{r} model <- model_suite$nonmem$advan2_trans2 %>% replace(Equation("CL", "THETA_CL*exp(ETA_CL)*pow(BW/70, 0.75)")) %>% replace(Equation("V", "THETA_V*exp(ETA_V)*BW/70")) ``` Assume our drug is given once a month and `BW` varies over time. A time-varying covariate can be added to the dataset as follows: ```{r} dataset <- Dataset(1) %>% add(Bolus(time = 0, amount = 1000)) %>% add(Observations(times = seq(0, 30, by = 0.1))) %>% add(TimeVaryingCovariate( "BW", data.frame(TIME = c(0, 7, 14, 21), VALUE = c(80, 75, 70, 65)) )) ``` The typical profile can be simulated in the following way: ```{r event_bw_as_time_varying_covariate, fig.align='center', fig.height=4, fig.width=8, message=F} results <- model %>% disable("IIV") %>% simulate(dataset = dataset, seed = 1, outvars = "BW") gridExtra::grid.arrange( spaghetti_plot(results, "CONC"), spaghetti_plot(results, "BW"), ncol = 1 ) ``` Let's now compare this profile with another typical individual having a constant body weight of 70 kg: ```{r event_bw_as_time_varying_covariate_scenarios, fig.align='center', fig.height=4, fig.width=8, message=F} scenarios <- Scenarios() %>% add(Scenario("BW as time-varying covarite")) %>% add(Scenario("Fixed BW", dataset = ~ .x %>% replace(Covariate("BW", 70)))) results <- model %>% disable("IIV") %>% simulate(dataset = dataset, seed = 1, outvars = "BW", scenarios = scenarios) gridExtra::grid.arrange( spaghetti_plot(results, "CONC"), spaghetti_plot(results, "BW"), ncol = 1 ) ``` Finally, time-varying covariates can also be individualized by specifying an ID column: ```{r event_bw_as_time_varying_covariate_by_id, fig.align='center', fig.height=4, fig.width=8, message=F} dataset <- Dataset(2) %>% add(Bolus(time = 0, amount = 1000)) %>% add(Observations(times = seq(0, 30, by = 0.1))) %>% add(TimeVaryingCovariate( "BW", data.frame( ID = c(rep(1, 4), rep(2, 4)), TIME = c(0, 7, 14, 21, 0, 7, 14, 21), VALUE = c(80, 75, 70, 65, 65, 70, 75, 80) ) )) results <- model %>% disable("IIV") %>% simulate(dataset = dataset, seed = 1, outvars = "BW") gridExtra::grid.arrange( spaghetti_plot(results, "CONC", "ID"), spaghetti_plot(results, "BW", "ID"), ncol = 1 ) ```