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* University of Geneva, School of Pharmacy, 1211 Geneva, Switzerland;
Procter & Gamble, Egham TW20 9NW, United Kingdom; and
Department of Pharmacy and Pharmacology, University of Bath, Bath BA2 7AY, United Kingdom
Correspondence: Address reprint requests to M. Begoña Delgado-Charro, Fax: 44-1225-386114; E-mail: b.delgado-charro{at}bath.ac.uk.
| ABSTRACT |
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| INTRODUCTION |
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The total flux of a solute (Ji) during iontophoresis is the sum of electromigration (JEM), convective flow (JEO), and passive diffusion (Jp):
![]() | (1) |
Electromigration is the movement of small ions across the skin under the direct influence of the electric field. Electron fluxes are transformed into ionic fluxes via the electrode reactions; and ionic transport proceeds through the skin to maintain electroneutrality. The total charge transported depends on the strength of the electric field and the duration of application. Iontophoresis sets in motion a number of ions across the skin, and all of them compete to carry a fraction of the current. The contribution of each ion to charge transport is called its transport number, the overall sum of which equals 1. According to Faraday's law, the electromigration flux of each ion in the iontophoretic circuit is given by
![]() | (2) |
![]() | (3) |
Given that sodium and chloride ions are the principal extracellular electrolytes present in the body at high concentrations, they will invariably carry a major part of the current during iontophoresis in vivo.
Electroosmosis is the principal transport mechanism of uncharged molecules and of high molecular weight cations (Pikal, 1992
). The skin is negatively charged at physiological pH, and acts therefore as a permselective membrane to cations. This preferential passage of counterions induces an electroosmotic solvent flow that carries neutral molecules in the anode-to-cathode direction. The volume flow JV (volume x time1 x area1) is proportional to the potential gradient established by the electric field (Pikal, 1992
)
![]() | (4) |
/dx. The electroosmotic flux contribution to the transport of a solute s present in the anodal compartment at molar concentration cs is then
![]() | (5) |
Electroosmosis assists the transport of high molecular weight cations and retards the passage of anions at pH 7. It can be modified by altering the permselectivity of the membrane and by manipulation of the formulation in the electrode chambers, that is by changing the value of LVE (Santi and Guy, 1996a
).
Passive diffusion of the solute j may be expressed as
![]() | (6) |
cj/h represents its concentration gradient across the skin. The contributions of electromigration, electroosmosis, and passive diffusion to the total iontophoretic flux depend on the structure and physicochemical properties of the species being transported. For small ions such as Na+ or Cl, electromigration dominates; on the other hand, neutral solutes are transported by electroosmosis and (usually) to a much lesser extent by passive diffusion.
The reverse iontophoretic extraction of glucose across the skin is primarily electroosmotic and has been successfully used to monitor glycemia in diabetics (GlucoWatch Biographer, Cygnus, Redwood City, CA) (Potts et al., 2002
; Tamada et al., 1995
; Tierney et al., 2001
). The commercially available wrist-worn device tracks glucose continuously for up to 13 h, making six measurements per hour. However, because the glucose extraction efficiency varies significantly within and between patients, the device must be calibrated against a conventional fingertip blood glucose reading before each use. This essential step has been perceived as a disadvantage despite the fact that the GlucoWatch provides tremendously more information to the diabetic than one or two "finger-sticks" per day.
The long-term objective of the research presented here is to refine the iontophoresis technology so as to avoid the invasive calibration step. The use of an internal standard has been proposed as a strategy to attain this goal. As iontophoresis is nonspecific, many ions and small uncharged species (in addition to the analyte of interest) are moved across the skin. Instead of detecting uniquely the single target substance extracted by iontophoresis and calibrating its transdermal measurement via a blood assay, we propose to monitor the extraction of two species simultaneously: the compound of interest, the temporal change in the concentration of which is of clinical importance (i.e., glucose), and a second analyte, the physiological concentration of which is known and essentially fixed. If the iontophoretic transport of the analyte (A) and the latter internal standard (IS) are independent of one another, then their fluxes (J) out of the skin should obey the relationship
![]() | (7) |
A first objective of the work described here, therefore, is to understand the in vitro-in vivo differences that have been observed. Further in vitro experiments have been performed under conditions known to modify the skin's net charge (i.e., its permselectivity). Specifically, by manipulating the pH on either side of the barrier (Santi and Guy, 1996a
; Marro et al., 2001
), it was possible to investigate whether the iontophoretic extraction of Na+ and glucose varied in parallel and to assess the impact of these changes on the constancy of the parameter K in Eq. 7. A second objective was to examine different, small, neutral solutes as alternative internal standards for glucose extraction. In this case, both analyte and internal standards were moved across the skin by electroosmosis. So as to evaluate the robustness of this approach, electroosmosis was modified to different degrees using different background electrolytes (Santi and Guy, 1996b
).
| MATERIALS AND METHODS |
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,
,
-Tris-(hydroxymethyl)-methylamine), sodium chloride, potassium chloride, D-mannitol, urea, glycerol, D-sucrose, calcium chloride, EDTA, sodium hydroxide, and hydrochloric acid were analytical grade and purchased from Sigma-Aldrich (Saint Quentin Fallavier, France). D-[1-14C]-mannitol, [14C]-urea, [14C(U)]-glycerol, [14C(U)]-sucrose (specific activities 51.5, 54.3, 142.7, and 401.0 mCi/mmol, respectively) were obtained from PerkinElmer Life Sciences, Rungis, France), and D-[6-3H]-glucose (specific activity 35.0 mCi/mmol) was purchased from Amersham Pharmacia Biotech (Orsay, France). Deionized water (resistivity >18.2 MOhm/cm2) was used to prepare all solutions.
Skin preparation
Porcine ears were obtained <2 h after slaughter of the animal (Société d'Exploitation d'Abbatage, Annecy, France) and cleaned under running cold water. The whole skin was removed carefully from the outer region of the ear and separated from the underlying cartilage with a scalpel. The tissue was then dermatomed to a thickness of 750 µm (Zimmer Air Dermatome, Dover, Ohio) and cut into small squares (
9 cm2), which were wrapped individually in Parafilm and maintained at 20°C for no longer than 2 weeks before use.
Reverse iontophoresis
Side-by-side diffusion cells (transport area = 0.78 cm2) with three compartments representing the anodal, subdermal, and cathodal chambers (Leboulanger et al., 2004b
) were used in the iontophoresis experiments. Volumes were 1.5 ml for the electrode chamber and 3.5 ml for the subdermal compartment.
A piece of excised skin was clamped between the central compartment and each electrode chamber, with the dermal surface facing the central compartment, and the cell was assembled as shown in Fig. 1. The background buffer, 10 mM Tris, was used for all experiments at pH 6.3, 7.4, or 8.5. All chambers were initially filled with this buffer for a 1-h equilibration period. After replacing the buffer by the appropriate electrode and subdermal solutions, constant current (0.5 mA/cm2) was applied for 6 h via Ag/AgCl electrodes connected to a constant current power supply (KEPCO APH-1000DM, KEPCO Inc., Flushing, NY). After each hour, the current was interrupted, and the entire contents of anodal and cathodal chamber were withdrawn and replaced by fresh receiver solution. All experiments were performed in quadruplicate, using skin samples from four different pigs. The fluxes shown correspond to the 56th h of iontophoresis; steady values were typically attained after 3 h of current passage.
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Simultaneous extraction of neutral compounds
To study the simultaneous extraction of glucose and model neutral compounds, the subdermal solution contained 133 mM NaCl, 4mM KCl, 5 mM glucose, and either urea, glycerol, mannitol, or sucrose, (again, at a concentration of 5 mM); further, the solution was spiked with
0.2 µCi/ml of the corresponding 14C-isotope and
0.5 µCi/ml of 3H-glucose. The pH of the subdermal solution was 7.4 for all experiments except for the measurements at pH 6.3 when this lower pH was also maintained in the central compartment (see Results and Discussion). In all experiments, the anodal and cathodal solutions were identical and comprised 10 mM Tris buffer at pH 6.3 or pH 8.5 together with additional electrolytes as described below. Passive controls, following the same experimental procedure without current application, were performed for the experiments with urea and glycerol.
Sample analysis
Samples from the first series of measurements were quantified by high-performance ion chromatography using a Dionex IC 600 system (Dionex, Sunnyvale, CA). Glucose was assayed by anion separation with pulsed amperometric detection; Na+ was quantified by cation separation with suppressed conductivity detection (Sieg et al., 2004
).
For the experiments using radioactivity, samples from the electrode chambers were mixed with 5 ml scintillation cocktail (Ultima Gold XR, PerkinElmer Life Sciences) and then analyzed by liquid scintillation counting (LS 6500, Beckmann Instruments France SA, Gagny, France) for 3H-glucose and the 14C-isotope from the second neutral compound.
Statistical analysis
Iontophoretic fluxes and values of K were determined as the mean ± SD and were compared with a one-way ANOVA followed by Tukey's Multiple Comparison Test. Excel MS Windows 97 and GraphPad Prism 3.02 Software (GraphPad Software, San Diego, CA) were used for data analysis.
| RESULTS AND DISCUSSION |
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pH dependence of glucose and Na+ transport
By modification of the pH, we aimed to gradually change the skin's permselectivity and hence to modify the extraction of glucose by electroosmosis. If Na+ electromigration was affected in a similar manner, then we would expect the extraction constant K (Eq. 7) to remain essentially constant.
Although the pH and composition of the subdermal milieu in vivo cannot be manipulated, it is possible to perform rather specific modifications in the in vitro experimental setup. To avoid the additional complication of a pH gradient across the skin, therefore, it was decided initially to vary the pH on both sides of the skin in systematic steps of 1.1 pH units between 8.5 and 6.3. In this way, the skin retained its cation permselectivity (the isoelectric point of porcine ear skin having been shown to be
4.4 (Marro et al., 2001
)), and the variability in electroosmotic behavior observed with a significant pH gradient across the skin (Kim et al., 1993
) was precluded.
The skin's permselectivity depends strongly on the pH of the surrounding media (Marro et al., 2001
; Phipps and Gyory, 1992
). With a change in the fixed charge on the membrane, the preferential passage of cations and the extent of electroosmotic flow can be modified. Glucose and Na+ fluxes after 6 h of iontophoresis at different pHs are shown in Table 1. Although no differences were observed when the pH was changed from 7.4 to 8.5, both glucose and sodium electrotransport were reduced significantly when the pH was decreased to 6.3. However, the amplitude of this modification was not the same for the two solutes. Whereas sodium fluxes decreased to
75% of its value at pH 7.4 (that is, from 10.7 (±0.7) to 8.0 (±0.3) µmol x cm2 x h1), electroosmotic transport of the glucose decreased by one half (from 54.3 (±5.5) to 27.4 (±8.6) nmol x cm2 x h1). Given that the subdermal glucose and Na+ concentrations were kept constant, the proportionality constant K (calculated from Eq. 7) fell significantly from 0.068 ± 0.007 to 0.045 ± 0.014. Note that the values for Na+ extraction are 23 orders of magnitude higher than those for glucose; in other words, sodium electromigration is much more efficient than glucose extraction by electroosmosis at concentrations close to physiological conditions. This difference is reflected in the value of the constant K, which is <0.1.
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0.6 at pH 7.4 (Phipps and Gyory, 1992
0.4) (Burnette and Ongpipattanakul, 1987
1 µl x cm2 x h1 at neutral pH (Burnette and Ongpipattanakul, 1987
40%, electroosmotic flow is completely attenuated from the anode and now occurs in the opposite, cathode-to-anode, direction (Marro et al., 2001
In previous experiments in vivo in man, Na+ transport numbers from 0.48 to 0.64 were determined at pH 8.5 (I = 0.6 mA) (Sieg et al., 2004
). Normalized glucose fluxes ranged from 0.25 to 6.25 µl x cm2 x h1, and the inferred constant K varied between 0.01 and 0.13. Compared to the results from this investigation, the Na+ transport numbers were in good agreement: average values in vitro and in vivo 0.60 vs. 0.55, respectively). Notably, this overlap was found despite the facts that i), the in vitro subdermal solution did not contain all physiologically relevant ions, and ii), porcine rather than human skin was used. The normalized glucose flux at pH 8.5 in vitro was 5.7 µl x cm2 x h1 (I = 0.4 mA), and is comparable to the upper value observed in vivo. It is important to emphasize that the in vivo experiments were performed with a slightly higher current, and that the up to 10-fold difference in glucose fluxes was not observed in vitro. To correct for these important interindividual differences that are not mirrored by the Na+ extraction flux, attention was next focused on the identification of a potential neutral internal standard transported by the same mechanism as glucose, namely electroosmosis.
Simultaneous extraction of neutral solutes and glucose
In examining the transport behavior of the neutral internal standard candidates relative to that of glucose, it was particularly interesting to determine the flux ratios under different conditions of skin permselectivity. In addition to exogenous factors, such as the composition of the electrode formulations and the current applied, iontophoretic extraction in vivo depends on a number of biological factors (including net charge on the skin, local blood flow, etc.) that are difficult to control and modulate in vitro. Nevertheless, the electrical properties of the skin can be modified in vitro by changing the pH, as before, and by the use of different background electrolytes, and this was the strategy adopted here.
The candidates for the internal standard were chosen based upon their molecular weight (MW, ranging from 60 to 342), biological relevance (urea and glycerol are present at sufficiently high concentrations in the blood to be extracted by reverse iontophoresis in amounts sufficient for relatively straightforward analysis), and similar physicochemical properties (glycerol, mannitol, and sucrose having multiple-OH functions like glucose). The cathodally extracted fluxes of glucose and the model solutes at 6 h are shown in Table 2. For urea and glycerol, passive diffusion contributed significantly to the overall transport, and the uniquely electroosmotic contribution (JEO) was therefore calculated after subtracting passive transport from total measured flux. If extraction into a solution at pH 8.5 in the presence of a relatively low level of background electrolyte is considered as a reference value, addition of 10 mM EDTA significantly increased electroosmosis. On the other hand, supplementing the formulation with 100 mM CaCl2 decreased convective transport by 50%. A comparable reduction was induced by simply lowering the pH of the cathode solution to 6.3, an effect already observed in the first part of this study. Calcium has been shown to shield the skin's net negative charge (presumably via an interaction with carboxylic acid groups in the skin (Phipps and Gyory, 1992
)). Conversely, EDTA has been suggested to increase the skin's permselectivity by complexing endogenous divalent cations, such as Ca2+, thus enhancing electroosmosis toward the cathode (Santi and Guy, 1996b
). It is noted that, for all solutes (except urea at pH 6.3), convective flow was essentially the same at each set of experimental conditions studied. Although there is evidence of molecular hindrance (i.e., a sieving effect as the convective volume flow passes through narrow channels) under certain iontophoretic conditions (Ruddy and Hadzija,1992
), the results described here are consistent with the hypothesis that electrotransport via electroosmosis is relatively constant for low molecular weight solutes (Pikal, 1992
).
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0.6 at the lowest for urea up to
1.2 at the highest for sucrose), the trend in Fig. 2, with respect to molecular weight, deserves further discussion. The K values reported were determined from Eq. 7 using the absolute fluxes measured at 6 h. Although these fluxes have no electromigration contribution (Eq. 1), they do include passive diffusion as well as electroosmosis. As mentioned above, the passive transport of urea and glycerol did contribute significantly to the total and it might be anticipated, therefore, that this phenomenon would explain, at least in part, why K deviates from unity. That is, when glucose and the internal standard are present subdermally at equal concentrations
![]() | (8) |
Although this issue is of mechanistic interest, and relevant to previous work that has focused on the relative contributions of electromigration and electroosmosis to the iontophoresis of cationic drugs (Guy et al., 2000
; Yoshida and Roberts, 1993
), it must nevertheless be emphasized that this phenomenon elicited only a modest (no more than two-fold) effect on the absolute value of the calibration constant K. Of greater practical importance is whether, for any particular candidate internal standard, the value of K remains fixed despite changes in the skin's permselectivity. Such was clearly not the case when Na+ was examined for this role in vivo (Sieg et al., 2004
). For mannitol and glycerol, deviations of K were small. However, these solutes are either present physiologically at levels too low (mannitol,
34 ± 18 µM (Lentner, 1984
)) or are subject to significant systemic variation (unbound glycerol,
120 ± 65 µM (Lentner, 1984
)) to be useful internal standards for glucose monitoring in vivo. Sucrose and urea showed slightly greater deviations in K. Again, sucrose (plasma concentration
1.8 ± 1.2 µM (Lentner, 1984
)) is not a practical option for the same reason as mannitol. Urea outperformed Na+, both in terms of absolute divergence of the observed K, and in terms of variability. The fact that K for urea is >10 times the corresponding Na+ value confirms that its extraction is primarily achieved by the same mechanism as glucose. In addition, blood concentrations of urea are relatively stable, sufficiently high (48 mM (Bankir and Trinh-Trang-Tan, 2000
)) and in rapid equilibrium with those in the extracellular fluid (the tissue compartment sampled by reverse iontophoresis) to offer a pragmatic option for a useful internal standard (Rosdahl et al., 1998
). Finally, it is important to point out that the variability observed (coefficients of variation typically <10%) in the values of K obtained with urea as an internal standard would be acceptable in clinical practice. In a recent study, in which lithium serum levels in bipolar patients were successfully predicted using sodium as an internal standard, the variability in K was on the order of no more than 7% (Leboulanger et al., 2004c
).
Of course, it remains to be seen whether the conclusions from this work are directly applicable in vivo, in human subjects. It should be recalled that the skin model used, although considered extremely useful and faithful, was from pig rather than man. In addition, the subdermal milieu in vivo is much more complex than that employed in the in vitro reported here. Equally, although it has been possible to deliberately modify skin permselectivity in these experiments by modulating the cathodal formulation, there are undoubtedly other physiological and/or environmental factors that can also play a role in the real world and these issues can only be elucidated and examined in vivo (for example, although the intraindividual variation in the blood concentration of urea over a 24-h period is quite small, intersubject variability is greater, which means that it may be necessary to verify periodically a "personal" K for each diabetic (Bankir and Trinh-Trang-Tan, 2000
)). Such is clearly the next logical step in this research.
| ACKNOWLEDGEMENTS |
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Submitted on April 23, 2004; accepted for publication August 23, 2004.
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