FormalPara Key Points

Higher concentrations than observed in young subjects are predicted for tenofovir, lamuvidine and emtricitabine after standard doses are given to elderly subjects.

Based on exposures reported for renal impairment, the majority of elderly virtual patients did not require dosage adjustments, with the exception of about 20% of patients on tenofovir, where exposure could be compared with moderate renal impairment.

Clinical studies to verify the predicted exposures, especially with tenofovir, are warranted.

1 Introduction

Advancing age is accompanied by numerous physiological, biochemical and anatomical changes that are likely to affect the pharmacokinetics (PK) and pharmacodynamics (PD) of drugs. It is therefore not surprising that elderly patients are most susceptible to adverse drug reactions [1]. Although various changes that could potentially impact the absorption, distribution, metabolism and excretion of drugs in the older patient are reported, prospective studies evaluating the relevance of prescribed drug doses in this vulnerable population group are uncommon. Drug dosing regimens that are designed for pharmacotherapy in younger adults are used in the elderly patient, without always verifying whether they are appropriate or not. In the absence of adequate clinical trials in this special population, physiologically-based pharmacokinetic (PBPK) modelling can be used to predict the possible impact of changes associated with aging on the pharmacokinetics of specific drugs. The physiological, anatomical and biological changes in the elderly that are of relevance during PBPK modelling have recently been reviewed [2,3,4]. Some of the key changes described in these reviews include a trend towards a decrease in height and weight in the older patient, possible changes in gastric emptying time and intestinal transit time, a reduction in the size of some organs (including the liver), a reduction in cardiac output with a consequent reduction in blood flow to organs such as the liver and kidneys, possible changes in drug metabolising enzymes and a decline in renal function.

Significant evidence exists for the age-related decline in renal function [5,6,7]. Both plasma creatinine and glomerular filtration rates are reduced in older subjects. Despite our knowledge of diminishing renal function with advancing age, information on the impact of aging on the PK of drugs, such as some antiretrovirals that are mainly excreted unchanged by the kidney, is sparse. Tenofovir (TDF), lamivudine (3TC) and emtricitabine (FTC) are examples of antiretrovirals that are excreted predominantly unchanged by the kidney. Prescribing information for these three drugs indicate that dosage adjustments corresponding to different levels of renal impairment are required. Despite these recommendations [8,9,10], the PK of these three drugs in the geriatric population have not been investigated to determine whether dosage adjustments are appropriate or not. Labelling recommendations for dosing in the elderly population for all three drugs state that “Clinical trials did not include sufficient numbers of subjects aged 65 and over to determine whether they respond differently from younger subjects”. Studies to guide informed dosing in this population are therefore required.

The objective of this study was to use PBPK modelling to predict changes in the exposure to TDF, FTC and 3TC in older patients and to evaluate whether the changes may warrant dosage adjustments in this patient group, based on dosing adjustments recommended for individuals with different degrees of renal impairment.

2 Methods

The workflow of the present study is shown in Fig. 1, illustrating the use of the best practice approach for model verification and application. Briefly, following verification of the drug models in younger and older populations using observed data, the models were used to predict the PK in different age groups using 1000 individuals in each group, to capture population variability. The predicted exposure (as assessed by area under the plasma concentration versus time curve [AUC]) in the 65–74 year group (referred to in this study as the ‘elderly’ age group) was then compared with the reported exposure in patients with different levels of renal impairment. Since dosage recommendations have been made for patients with different levels of renal impairment, comparisons of the drug exposures in these patients were used to determine whether dosage adjustments should be considered in the elderly patient.

Fig. 1
figure 1

Diagram illustrating the workflow for the study

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The Simcyp population-based simulator (V17R1) was used for all the PBPK modelling and simulations. For model performance verification, concentration–time data were extracted from publications using the GetData Graph Digitizer (version 2.22, http://www.getdata-graph-digitizer.com).

2.1 Population Models

The Sim-Geriatric population model, which is available in the Simcyp simulator, was used to simulate the elderly population and has been described and verified previously [2]. This model includes subjects that are 65 years and older and accounts for the age-related changes such as demographics, cardiac output, liver weight, liver blood flow and reduction in glomerular filtration rate (GFR). The age-related changes in GFR are calculated using age-related plasma creatinine concentrations derived from the NHANES database [11] and based on the Cockcroft–Gault equation. The simulated GFR obtained was verified against observed literature data [2, 5,6,7, 12] and presented previously [2]. A reduction in blood flow to the kidney, reflective of the reduced cardiac output with age, is also included in the model. There is a paucity of literature information on kidney transporter abundances or activity in the older subjects and hence no changes could be included in the Sim-Geriatrics population. The three drugs studied here are mainly renally excreted and are poorly bound to plasma protein; therefore, the key parameter that will impact the PK is the GFR. Since the available clinical data on the PK of TDF, FTC and 3TC were obtained in clinical trials on Caucasian and Japanese subjects, the Sim-NEurCaucasian and Sim-Japanese populations [13] were used for verification of the drug PBPK models.

2.2 Drug Models and Performance Verification

The PBPK models for TDF, FTC and 3TC in the elderly population were based on previously developed models in a Caucasian population [14]. Input parameters for the PBPK drug models used in this study are summarised in Table 1.

Table 1 Summary of drug dependent parameters
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The performance of the PBPK models was verified by visual inspection of the simulated and clinically observed concentration–time profiles as well as comparison of the predicted and observed PK parameters. Simulated concentration–time profiles were acceptable when the observed concentrations were within the 5th to 95th percentiles of the simulated concentrations. Additionally, the predicted: observed ratios of the PK parameters had to be within twofold of the observed data [15].

2.2.1 Tenofovir Physiologically-Based Pharmacokinetic (PBPK) Model

Tenofovir is administered as a rapidly hydrolysed prodrug, tenofovir disoproxil fumarate (TDF). The 300 mg TDF dose is equivalent to 136 mg of tenofovir base [16, 17]. TDF absorption was described using a first-order absorption model [18]. The distribution model of TDF was updated relative to the previous model [14], where a full PBPK model was used to describe the distribution of the drug. The volume of distribution was predicted using the Rodgers and Roland method [19]. A Kp scaling factor (tissue to plasma partition coefficient) of 17.88 was estimated by fitting the observed PK profile from Mathias et al. 2007 [20] in order to recover the maximum concentration (Cmax) of the drug. The renal clearance of TDF represented 75% of the total clearance and was 13.12 L/h in healthy volunteers [17].

This model was first verified in the Caucasian population using available clinical data obtained after multiple administrations of TDF 300 mg (equivalent to 136 mg of tenofovir, which was used in the simulations) [21, 22]. Ten trials of 10 subjects aged between 20 and 50 years, with 50% being female in each trial, were simulated using the SIM-NEurCaucasian population. Predicted Cmax, AUC∞ and PK profiles were compared with the observed data [21, 22].

The performance of the model in predicting clearance in the older population was verified by comparing predicted PK profiles with observed median PK profiles obtained after multiple administration of TDF 300 mg [23]. Ten trials of 12 subjects aged between 53 and 66 years with 50% being female in each trial were simulated according to the design in the clinical trial from Dumond et al. [23].

2.2.2 Lamivudine PBPK Model

The absorption of 3TC was described by a first-order absorption model [24]. A full PBPK model was used, with the volume of distribution predicted using the Rodgers and Roland method [19]. Renal clearance of 3TC represented 70% of the total clearance and was 16.8 L/h in healthy volunteers [25].

The model was initially verified against clinical PK profiles obtained in a young Caucasian population aged between 29 and 41 years [26] as well as a group aged between 18 and 54 years [27]. Because the only study that reported the PK of 3TC in the elderly population was conducted in a Japanese population [28], the 3TC model was first verified in young Japanese subjects. PK profiles were obtained after simulation of 10 trials of six subjects each, aged between 22 and 44 years, with 16.7% being female. These virtual subjects received lamivudine 150 mg twice a day and predicted PK profiles were compared with observed data from Tatsunami et al. [29]. The model was further verified by comparing simulations of 10 trials of six male subjects aged between 20 and 21 years, who were administered a single 100-mg dose of 3TC, with observed data from Shibata et al. [28]. After verification of the 3TC model in young Japanese subjects, the model was further verified by simulating 10 trials of six male subjects aged between 65 and 70 years in the SIM-Japanese population according to the Shibata et al. [28] study design.

2.2.3 Emtricitabine PBPK Model

A first-order absorption model [30] with a full PBPK distribution model was used for FTC. The renal clearance of FTC represented 70% of the total clearance and was 16.8 L/h in healthy volunteers [31]. The model was first verified in the Caucasian population using available clinical data obtained after multiple administration of FTC 200 mg [32, 33]. Ten trials of 10 subjects aged between 20 and 50 years, with 50% being female in each trial, were simulated in the Caucasian population. The predicted Cmax, AUC∞ and PK profiles obtained were compared with the observed data [32, 33].

To verify the model in the older population, 10 trials of 12 subjects aged between 53 and 66 years, with 50% being female, receiving multiple doses of FTC 200 mg, were simulated according to the trial design of Dumond et al. [23], using the Simcyp NEurCaucasian population.

2.3 Model Application

Following appropriate verification of the three PBPK models in the Caucasian and Japanese populations, the PK of the three drugs were simulated in different age groups and compared. The models were used to predict PK profiles for TDF 300 mg, 3TC 300 mg and FTC 200 mg, in Caucasian subjects aged 20–49 years; 50–64 years, 65–75 years and 76–85 years. One hundred trials with 10 individuals were simulated using the Sim-Geriatric population for the 65–74 years and 75–85 years age groups. Since drug response has been associated with the AUC for these drugs [26, 28], differences in exposure (AUC∞) were compared between the age groups to determine whether any changes or trends could be observed with advancing age. In the text that follows, the group aged 65–74 years is referred to as the elderly population. The group aged > 75 years was not analysed extensively since the lifespan of HIV/AIDS patients seldom exceed 75 years.

The predicted mean AUC∞, Cmin (concentration before the next dose) and Cmax from subjects aged 20–49 years (young subjects) were compared with the PK parameters from subjects aged 65–74 years (elderly subjects) for the three drugs, after multiple drug administration (TDF: 300 mg once daily [qd], 3TC: 150 mg twice daily [bid], FTC: 200 mg qd).

2.4 Comparison of Predicted Exposure (AUC0–∞) in Elderly Subjects with AUC0–∞ Published for Different Degrees of Renal Impairment

Recommended dosage adjustments in renal impairment, based on differences in exposure associated with different degrees of renal dysfunction, are available in the prescribing information for each of the three drugs. In this study, predicted exposure changes for each of the three drugs in the elderly were compared with the published changes resulting from different levels of renal dysfunction, to determine whether dosage adjustments are required in elderly patients taking standard doses of 3TC, FTC or TDF. Predicted exposure in the elderly was found to be similar to the observed exposure in a specific category of renal impairment when the ratio of the mean predicted AUC: observed AUC in the relevant category of renal impairment were within the bioequivalence limits (≥ 0.8 and ≤ 1.25) [15].

3 Results

Predicted PK parameters obtained from model verification simulations are summarised in Table 2 and the predicted and observed concentration profiles are presented in Fig. 2. Visual inspection of the concentration–time profiles indicate acceptable recovery of the clinical data since the majority (99.8%) of the observed concentrations fall within the 5th–95th percentiles of the predicted profiles. Similarly, it can be seen from Table 2 that the models recover the clinical data acceptably since the predicted: observed ratios of the PK parameters are within twofold of the observed data [15].

Table 2 Observed versus predicted AUC∞ and Cmax in young population (aged 20–50 years)
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Fig. 2
figure 2

Model performance verification with clinical studies in young subjects. Simulated (black line) and observed (data points [21, 22, 26, 27, 32, 33]) mean plasma concentration–time profile after multiple administration of TDF 300 mg (a), single administration of 3TC 300 mg (b) and multiple administration of FTC 200 mg (c) in the young population. The grey lines represent the predictions from individual trials (10 trials × 10 subjects; 20–50 years). Dotted lines represent the 5th and 95th percentile of the total virtual population. 3TC lamivudine, FTC emtricitabine, TDF tenofovir

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The simulated and observed [28, 29] 3TC PK profiles and parameters in the young Japanese population are presented in Table 3. The AUC∞ in the Japanese population observed by Shibata et al. [28] appeared to be marginally underestimated (predicted/observed ratios of 0.66 but within the twofold range of acceptance) for the young and elderly population; however, the model is able to recover the clinical data on the age effect (Tables 3, 4). An AUC∞ increase of 30% is predicted in the elderly and the observed AUC∞ increase is 37% [28], indicating acceptability of the model.

Table 3 Observed versus predicted mean lamivudine AUC∞ and Cmax in young (aged 22–44 years) Japanese population
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Table 4 Observed versus predicted AUC∞ and Cmax in the older population (TDF and FTC: 53–66 years; 3TC: 65–70 years)
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Simulated and observed [23, 28] PK profiles and PK parameters of the three antiretrovirals in the older population (TDF and FTC: 53–66 years; 3TC: 65–70 years) are shown in Fig. 3 and Table 4.

Fig. 3
figure 3

Model performance verification using clinical studies in older subjects. Concentration–time profiles in the older population. a Simulated (mean—black line) and observed (data points [23]) plasma concentration–time profile after multiple administrations of TDF 300 mg (10 trials × 12 Caucasian subjects, aged 53–66 years). b Simulated (mean—black line) and observed (data points [23]) plasma concentration–time profile after a single administration of 3TC 200 mg (10 trials × 6 Japanese subjects, aged 65–70 years). c Simulated (mean—black line) and observed (data points [23]) plasma concentration–time profile after multiple administrations of FTC 200 mg (10 trials × 12 Caucasian subjects, aged 53–66 years). In all the figures, the grey lines represent mean predictions from individual trials and the dotted lines represent the 5th and 95th percentiles for the predicted data. 3TC lamivudine, FTC emtricitabine, TDF tenofovir

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A decrease in systemic clearance with a corresponding increase in AUC∞ (Fig. 4) was predicted with an increase in age with all three drugs. Predicted mean AUC∞ of 3TC in the elderly population (65–74 years) was 42% higher (mean 14.1 mg/L/h; coefficient of variation [CV] 28%) than in the young subjects (20–49 years) (mean 9.89 mg/L/h; CV 26%). Predicted mean AUC increases for TDF and FTC were 48% and 40%, respectively, for the same age groups. Figure 5 illustrates that higher exposure (AUC∞, Cmax and Cmin) was predicted in the elderly population for all three drugs.

Fig. 4
figure 4

Comparative changes in exposure (blue bars) and glomerular filtration rate (GFR—patterned red bars) with age and in renal impairment. Both the predicted area under the plasma concentration–time curve (AUC∞) and GFR for each age group are presented as ratios relative to the values in the young population. The observed changes in AUC and GFR reported for different levels of renal impairment are illustrated as black and red patterned bars, respectively

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Fig. 5
figure 5

Mean predicted changes in drug exposure with age. AUC∞ (a–c), Cmax (d–f) and Cmin (g–i) after multiple administration of tenofovir disoproxil fumarate 300 mg qd (a, d, g), lamivudine 150 mg bid (B,E,H) and emtricitabine 200 mg qd (c, f, i) in elderly (aged 65–74 years; open circle) and young (aged 25–50 years; black square) Caucasian populations. The trial number appears on the x-axis for each figure. Each data point represents the predicted mean parameter in each of the 10 trials. AUC area under the plasma concentration–time curve, bid twice daily, Cmax maximum concentration, Cmin concentration before the next dose, qd once daily

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Predicted mean TDF AUC∞ in the young population was 2.61 (1.69–4.26) mg/L/h, which compared favourably with the mean AUC∞ of 2.18 mg/L/h (CV 11.8%) observed in subjects with normal kidney function (predicted AUC/observed AUC = 1.21) [34]. Observed exposure in mild renal impairment (creatinine clearance [CLCR] 50–80 mL/min−1) was 3.1 mg/L h (CV% = 30.3) while that in moderate renal impairment (CLCR 30–49 mL/min) was 6.0 (CV 41.7%) [34]. Predicted mean TDF AUC∞ in elderly subjects was 3.87 mg/L/h (CV 66%; range for trials 2.45–6.4). This exposure is similar to the mean AUC∞ of 3.1 (30.3%) observed in subjects with mild renal dysfunction (predicted AUC/observed AUC = 1.24). No dosage adjustment for TDF is recommended by the manufacturer for patients with mild renal dysfunction (CLCR > 50 mL/min) [8]. Based on this comparison of mean AUC values, no dosage adjustment is necessary in the elderly on a standard dose of TDF. However, when considering the ‘extreme’ end of the range, subjects with an AUC∞ of 6.4 mg/L/h are likely to be in the moderate renal impairment group (predicted AUC/observed AUC = 1.07). It is recommended that patients with moderate renal impairment receive a TDF dose of 300 mg every 48 hours rather than daily [8]. Of the 1000 elderly subjects simulated, 22% had AUCs > 4.8 mg/L/h, suggesting that dosage adjustments will be required in those subjects.

Predicted mean FTC AUC∞ in the young population was 10.64 mg/L/h(range for trials 9.03–12.12), which compared favourably with the mean AUC∞ of 11.8 ± 2.9 mg/L/h observed in subjects with normal kidney function (predicted AUC/observed AUC = 0.85) [10]. Predicted mean FTC AUC∞ in the elderly subjects increased to 14.94 ± 2.6 mg/L/h (range for trials 12.2–17.7). In a study on FTC PK in subjects with different levels of renal function, a mean AUC∞ of 11.8 ± 2.9 mg/L/h was observed in subjects with a CLCR > 80 mL/min. The predicted AUC/observed AUC in this group was 1.26, indicating a possible match between the elderly and subjects with a CLCR > 80 mL/min. A mean AUC∞ of 19.9 ± 1.2 mg/L/h was observed in subjects with a CLCR between 50 and 80 mL/min [10]. The predicted AUC/observed AUC in this group was 0.75. No change in dosage is recommended in patients with CLCR ≥ 50 mL/min [10]. The predicted mean AUC∞ for elderly subjects compares with the observed exposure in subjects having CLCR ≥ 50 mL/min, indicating that no dosage adjustment is necessary in the elderly on a standard dose of FTC. When considering variability in the elderly population, there is unlikely to be a concern with subjects with a predicted AUC that is in the higher end of the predicted range of AUCs, since the predicted: observed ratio of 0.89 (i.e. 17.7/19.9) indicates that the exposures in these subjects are likely to correspond to those observed in subjects with a CLCR between 50 and 80 mL/min, where dosage adjustments are not recommended [10].

Predicted mean 3TC AUC∞ in the young population was 9.94 mg/L/h (range for trials 7.84–12.21), which can be compared with the mean AUC∞ of 11.25 (8.9–13.2) mg/L/h (predicted AUC/observed AUC = 0.88) observed in subjects with normal kidney function [9]. Predicted geometric mean (95% CI) AUC∞ for 3TC in the elderly subjects was 13.8 mg/L/h (range for trials 10.8–17.87). The observed geometric mean (95% CI) AUC∞ for 3TC was 10.89 mg/L/h (8.33–14.24) in (predicted AUC/observed AUC = 1.26) normal renal function and 45.66 mg/L/h (32.86–63.43) in (predicted AUC/observed AUC = 0.30) moderate renal impairment [9]. The predicted exposure in the elderly compares with the observed exposure in subjects having normal renal function [9]. Based on this comparison, no dosage adjustment may be required in the elderly on a standard dose of 3TC. The predicted range of AUCs in the elderly do not overlap with that observed for moderate renal impairment (predicted AUC/observed AUC = 0.39 for highest exposure), indicating that there is unlikely to be a concern with dosing, even in subjects with higher than an average increase in AUC.

4 Discussion

In this study, we adequately predicted the PK profiles of TDF, FTC and 3TC in young adults and older subjects using PBPK models. The verified models were then applied to predict the changes in key PK parameters with advancing age. There are only a few studies addressing the challenge of predicting the PK of drugs in the elderly populations using PBPK modelling [4, 35, 36] and, to the best of our knowledge, none of them focussed on the PK profiles of these three antiretrovirals. Some population pharmacokinetic studies have attempted to determine whether age is a significant covariate in the PK of these drugs, but recommendations for dosing in the elderly population were not considered. The narrow age range and/or number of elderly patients in the clinical study as well as the integration of other age-dependant covariates like CLCR were major limitations in these studies [37,38,39,40]. Considering the challenges with conducting prospective PK studies in the elderly, the results from our PBPK predictions provide an insight into differences in exposure that can be expected with standard doses of 3TC, TDF and FTC in the elderly patient (65–74 years), when compared with the young patient population in which dosage was established.

Our results indicate that a mean of 42%, 48% and 40% increase in exposure (AUC) is predicted for 3TC, TDF and FTC, respectively, in the elderly. Increasing plasma concentrations (Fig. 5) together with the higher drug exposure and decreasing GFR found with an increase in age (Fig. 4) are evident from the simulations. The clinical significance of the increase in exposure and the impact on dosing in the elderly was of interest in this study. A comparison of the predicted exposure (as assessed by AUC∞) in the elderly with the observed exposure in patients with different levels of renal function indicated that no dosage adjustment is essential in the majority of elderly patients on standard doses of each of the three drugs. The predicted mean exposure of a standard dose of TDF in elderly subjects was similar to that reported in subjects with mild renal dysfunction and therefore indicated that no dosage adjustment is essential [8]. However, the greater variability in exposure predicted in the elderly suggests that some individuals may have exposures that approach that observed in moderate renal dysfunction. Our predictions suggested that about 22% of the virtual patients on TDF had exposures that could be compared with those in individuals with moderate renal dysfunction and require their dose to be reduced to 300 mg every 48 hours (rather than daily). These predictions highlight the need for clinical studies for confirmation of dosages in this neglected population. In the absence of dosing guidelines in the elderly population, some patients are likely to be prescribed higher doses than they require, which may cause toxicity. These predictions raise concerns about whether the use of TDF should be avoided in elderly patients since renal function testing may not be feasible in communities where affordability is a problem. In addition, significantly higher exposure is expected in individuals older than 75 years, as seen in Fig. 4. Based on the data in Fig. 4, dosage adjustments may be required in these older patients when taking TDF, since the exposure (AUC) ratio is higher when compared with the 65–74 year group, and the GFR is also lower. However, the lifespan of HIV/AIDS patients does not usually exceed 75 years.

Exposure predicted for a standard dose of FTC in the elderly was comparable with that observed in subjects with CLCR ≥ 50 mL/min, where no change in dosage is recommended [10]. Despite the increase in exposure predicted in elderly subjects on a standard dose of 3TC, no dosage adjustment is recommended since it can be compared with exposures observed in subjects with normal renal function [9]. In addition to comparison of the mean predicted AUCs with the mean observed AUCs for FTC and 3TC [23, 28], comparisons of the maximum predicted AUCs with the observed AUCs showed that individuals with high variability from the mean were also not eligible for dosage adjustments. Clinical studies to verify these findings will be beneficial.

Elderly patients on these drugs should be carefully monitored since a few of the patients, particularly those on TDF, may have exposures that are similar to those seen in moderate renal impairment and may require dosage adjustments. Furthermore, elderly patients are likely to be more sensitive to toxicity. On the other hand, the marginal increase in exposure in the elderly may have some therapeutic benefits, as seen by their better virological response [41, 42]. However, patients over 50 years tend to have CD4 cell reconstitution that is significantly slower than in younger patients, which could be partially explained by the advanced disease at diagnosis and senescence. This impaired immunologic response may explain their higher risk of clinical disease progression [41,42,43].

3TC is generally a well-tolerated drug and studies have reported relatively minor adverse effects such as fatigue, malaise, headache, diarrhoea and sleep disturbances [58]. FTC is practically devoid of any significant side effects [32]. Hyperpigmentation of palms and soles and red cell aplasia have been reported in a few patients [10, 44]. A modest but significant loss of renal function as well as other forms of acute renal toxicity have been associated with the use of TDF [45]. Age and higher TDF plasma concentrations are correlated with a higher risk for renal toxicity [34, 46, 47]. There is no clear threshold to guide the dose adjustment; however, no dosage adjustment was deemed necessary for patients with mild renal impairment [48]. Due to the risk of renal toxicity, the GFR of patients taking TDF should be monitored, and this study suggests that some patients aged over 65 years may carry a higher risk and therefore should be monitored more closely.

The use of a Caucasian Healthy Geriatric model was one of the primary limitations of this modelling exercise. The HIV infection may impact on physiological parameters that can influence the clinical as well as the aging process. The sparsity of data required for the development and verification of models for an HIV-infected young population and an HIV-infected geriatric population for comparison, prevented the use of these more appropriate population models. However, the implemented population models were able to recover the available clinical data adequately. Future studies should also consider the ethnicity of populations used in the modelling. Since the HIV infection is prevalent mainly in African patients (53% of the 36.9 million people globally living with HIV), the development of an African HIV-infected population is warranted. A further limitation of the study was that the renal impairment studies providing the reference exposures were conducted in a limited number of patients [10, 26, 34]. Although PBPK modelling offers the advantage of simulations of intracellular and tissue concentrations of parent drugs and metabolites, such simulations were not attempted in this study since comparative clinical data was not available for model verification.

Although transporters are involved with the PK of these drugs, the PBPK models did not account for transporter activity changes in the elderly. In the kidney, TDF is mainly transported by OAT1 and MRP4 [49,50,51,52]. Lamivudine is a substrate of OCT2, MATE1 and MATE-K [53,54,55] and FTC is a substrate of MATE1 [56, 57]. Any change in the expression or activity of these transporters could influence the renal clearance of the drugs. However, robust data indicating any change in the expression or activity of transporters in the kidney is not available for the human elderly population [58]. No change in absolute abundance in the liver for BCRP, P-gp, MRP2, OAT2 and OAT7 have been shown for elderly patients [59,60,61,62,63]. Therefore, the transporter activity was assumed to be similar to that in younger subjects. Despite this assumption, the model recovered the PK in the older subjects adequately.

5 Conclusion

The PBPK models for TDF, FTC and 3TC recovered the clinical data in older subjects acceptably. Exposure to the three renally excreted drugs increased with age, with mean increases of 48%, 42% and 40% predicted for TDF, 3TC and FTC, respectively. A comparison of the mean predicted exposure (as assessed by AUC∞) in the elderly with the observed exposure in patients with different levels of renal function indicated that no dosage adjustment is essential in the majority of elderly patients on standard doses of each of the three drugs. However, a small percentage (22%) of patients on TDF were predicted to show exposures that required dose reductions. Clinical studies to verify these findings are warranted. In addition, elderly subjects on TDF should be carefully monitored.