Therapeutic drug monitoring allows for the adjustment of the dosing regimen based on the measured concentration of a drug [
7]. However, optimal dose adjustments are difficult to assess. Therefore, TDM can be applied in conjunction with subsequent drug exposure predictions for different dosing regimen provided by a popPK model, referred to as model informed precision dosing (MIPD) [
6]. These modalities, applied to individualise antimicrobial drug dosing, are elaborated upon below.
2.1 Application of Therapeutic Drug Monitoring
Therapeutic drug monitoring, which measures drug concentrations in biological matrices (e.g., blood, plasma, urine), offers clinical utility when four key conditions are satisfied. First, the drug must exhibit significant interindividual variability (IIV) in its pharmacokinetics. Second, alternative non-invasive methods to assess drug efficacy must be lacking. Third, a validated assay for precise quantification of drug concentrations must be readily available. Finally, a well-defined exposure-response relationship, encompassing both therapeutic and toxic thresholds, must be established. The latter includes knowledge about the MIC of the pathogen and is, therefore, referred to as the PK/PD index.
For antimicrobial drugs, the relationship between drug concentration and its clinical efficacy and bacterial kill characteristics is best described by three distinct PK/PD indices, depending on the drug’s activity pattern [
8]. Antimicrobials with concentration-dependent activity are described by either the ratio of the unbound (free) maximal concentration (
fC
max) and the MIC (
fC
max/MIC) or the ratio between the 24-hour area under the free concentration-time curve and the MIC (
fAUC
0h-24h/MIC) [
9]. For time-dependent antimicrobials, effectiveness is determined by the percentage of time the free drug concentration exceeds the MIC (%
fT
>MIC) throughout the dosing interval [
10]. Finally, antimicrobials exhibiting both concentration-dependent and time-dependent effects are best described using the
fAUC
0h–24h/MIC ratio. The magnitude of the PK/PD index correlating best with a specific antimicrobial effect is referred to as the PK/PD target. The values used as the PK/PD targets are usually the median values, thereby ignoring the variability in the magnitude values.
To apply TDM effectively, it is important to obtain accurate information regarding the times of dosing prior to and after the concentration measurement. Moreover, the time of sampling is also crucial. In the case of a trough sample, it may be required to sample during steady-state, which may differ widely between antimicrobial drugs and clinical situations such as renal insufficiency. Multiple samples between subsequent doses may be required if an AUC has to be obtained. A peak concentration may also be required, in the case of application of an antimicrobial with a small volume of distribution, such as with aminoglycosides. When the volume of distribution alters, this may result in a large change in the antimicrobial concentration. Therefore, a peak measurement may be necessary in the latter case.
Depending on the use of PK models, TDM can be initiated early to simulate steady-state concentrations and adjust the dose accordingly. If models are not utilised, a sample can be taken at steady state, and the dose can be adjusted after analysis. This approach is influenced by the drug’s characteristics, the laboratory’s turnaround time, the use of dosing software, and whether efficacy and/or toxicity are specifically monitored. Ideally, dose optimisation should occur as soon as possible. The timing of TDM is expected to be of importance for clinical cure and it is expected that early TDM might improve clinical outcome. However, in clinical patients many factors influence clinical outcome complicating the analysis. In a retrospective study in critically ill patients, it has been shown that patients who obtained clinical cure and microbial eradication had beta-lactam drug concentrations measured earlier [
11]. However, more research is required to assess the clinical outcome of early TDM measurements.
Studies have been performed on the superiority as it comes to clinical outcome of applying TDM. In a systemic review and meta-analysis of randomised controlled trials by Sanz-Codina et al, it was demonstrated that TDM and MIPD do have benefit with regard to reducing nephrotoxicity and treatment failure and improving target attainment [
12]. Also, an improvement in mortality, clinical cure or microbiological outcome was described, although not statistically significant. This is probably because there exist so many factors influencing these outcomes. More research should go into defining realistic clinical outcomes and targeting specific target groups.
2.2 Application of Pharmacokinetic Models
Pharmacokinetic modelling has a long and established history in drug research. Pharmacokinetic models offer a powerful way to describe the behaviour of a drug within a population, mathematically capturing the relationship between drug concentrations and individual patient characteristics [
13,
14]. These models have diverse applications, ranging from early pre-clinical drug development to post-marketing studies. Their insights aid in understanding disease processes, simulating drug dosing scenarios, and ultimately guiding treatment decisions. It is important to notice that each model has its own unique strengths and limitations. Models inherently simplify real-world complexity, relying on assumptions to provide valuable approximations under specific conditions.
Compartmental analysis is mostly used for models applied in TDM, which comprises the construction of both popPK and physiologically-based pharmacokinetic (PBPK) models [
15]. PopPK analyses follows a 'top-down' approach, beginning with observed PK data and fitting increasingly complex models; these models don’t always directly represent physiological compartments. Conversely, PBPK utilises a ‘bottom-up’ approach, combining models of physiological and chemical processes until they accurately simulate observed PK data [
16]. The key advantage of PBPK models lies in their ability to extrapolate beyond initial populations and conditions and allow for prediction of drug concentrations within specific organs or tissues [
17]. However, to our knowledge no PKPB models have yet been applied for TDM purposes in clinical practice [
18].
In MIPD, dose tailoring using a popPK model can be applied with and without the drug concentrations obtained from an individual patient. When drug concentrations are unavailable,
a priori dosing utilises a popPK model’s median parameter estimates and covariate relationships to personalise dosing [
19‐
21]. If drug concentrations have been obtained for a patient, maximum
a posteriori (MAP) Bayesian analysis provides even greater precision by blending prior knowledge (PK parameter distributions) with observed patient data (drug concentrations and individual characteristics) to estimate the patient’s individual PK parameters [
22]. These individual PK parameters enable optimised dosing regimens that target a specific concentration range, ultimately enhancing therapeutic outcomes and minimising side effects, toxicity and resistance [
3]. However, it is important to remember that the accuracy of MAP Bayesian analysis hinges on the validity of the underlying popPK model.
2.3 Application of Machine Learning Techniques
In recent years, ML techniques have gained significant attention in various fields, including health care [
23,
24]. Machine learning algorithms can analyse large amounts of data and uncover complex patterns and relationships that might be overlooked by traditional popPK analyses [
25]. This opens doors for enhanced precision in dose individualisation. Within the field of pharmacometrics, ML and artificial intelligence (AI) applications span from data handling (e.g., imputing missing values) to model selection. Researchers are exploring hybrid models that merge PK, ML and AI, as well as pure ML/AI-based prediction models for tasks like determining antimicrobial target attainment [
26].
Classical popPK analyses and newer ML approaches are both valuable tools in drug development, but their performance and outcomes differ. Classical PK analyses, based on nonlinear mixed-effects modelling, provide a well-established framework for characterising drug behaviour in populations and have been successfully used in dose optimisation studies. Machine learning approaches, on the other hand, offer potential advantages in terms of handling large datasets, identifying complex relationships and automating model building processes. While promising results have been reported with ML in PK modelling, direct comparisons are limited and often context-specific. A study by Destere et al found that an ML model in combination with a population PK model, referred to as hybrid approach, outperformed the application of a popPK model in predicting drug concentrations in a specific patient population, but the generalisability of this finding remains uncertain [
27]. Moreover, a study conducted by Li et al showed that this hybrid approach improved individual prediction of vancomycin clearance. However, the latter was obtained in simulated patients and not using real-world patient data [
28].
The limitations of ML in popPK analyses include the need for large and high-quality datasets, potential overfitting of models, and the “black box” nature of some algorithms, which can make interpretation and regulatory acceptance challenging. Additionally, while ML can identify complex relationships, it may not always provide the mechanistic insights offered by classical PK models.