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CARDIOVASCULAR
Department of Physiology and Biophysics, University of Calgary, Calgary, Alberta, Canada (M.L.O., M.E.K., G.J.K.); and Department of Physiology, Queen's University, Kingston, Ontario, Canada (C.A.W.)
Received February 8, 2007; accepted March 20, 2007.
| Abstract |
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In a previous study (Olson et al., 2006
), we found that phloretin and phloridzin reduce the maximal velocity of Ca2+ uptake into the cardiac muscle sarcoplasmic reticulum (SR). The effects of these compounds on the SR are due primarily to their inhibitory effects on the sarcoplasmic reticulum/endoplasmic reticulum Ca2+ ATPase (SERCA). Phloretin is lipophilic (Bechinger and Seelig, 1991
), and phloridzin is transported across cell membranes by the sodium-dependent glucose transporter found in many cell types, including cardiac myocytes (Walle and Walle, 2003
; Zhou et al., 2003
). These characteristics, and our results showing SERCA inhibition, suggest that phloretin and phloridzin could affect Ca2+ regulation and contraction in intact cardiac myocytes. To test this possibility, we examined the effects of phloretin and phloridzin on electrically evoked Ca2+ transients, the SR Ca2+ load, and cell shortening of intact rat ventricular cardiac myocytes. The results of these experiments further motivated us to examine the effects of phloretin and phloridzin on the action potential and whole-cell K+ and Ca2+ currents in these cells.
| Materials and Methods |
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Measurement of Intracellular Ca2+ Transients in Single Rat Cardiac Myocytes. To measure Ca2+ transients in response to electrical field stimulation, freshly isolated myocytes were allowed to adhere for 20 min to the bottom of a recording chamber on the stage of an inverted microscope. The extracellular Kraftbrühe storage solution was then replaced with Tyrode's solution containing 1 mM Ca2+ by perfusing the media through the chamber for 5 min at a rate of 0.5 ml/min. Before each experiment, the background fluorescence and light scatter of the cells was determined, and Ca2+ transients were recorded using a SPEX CMX fluorometer (fura-2 experiments; SPEX, Edison, NJ) or an SFX2 microfluorometer (fluo-3 experiments; Solamere Technologies, Salt Lake City, UT). Cells were visualized through a 100x oil immersion objective. The acetoxymethyl ester (AM) form of fura-2 or fluo-3 (2 µg/ml fura-2/AM or 1 µg/ml fluo-3/AM in Tyrode's solution containing 1 mM Ca2+ and 1 mg/ml BSA) was then added to the chamber and incubated with the myocytes for 10 min. Excess dye was removed by perfusing the chamber for 5 min with Tyrode's solution (with 1 mM Ca2+). The cells were then left for 15 min (with continuous superfusion) to allow cleavage of the AM moiety.
For the experiments using fura-2, fluorescence was excited at 340 and 380 nm, and emission was recorded at 510 nm; 340/380 fluorescence ratios were determined every 10 ms. For the experiments with fluo-3, fluorescence was excited at 480 nm, and emission was monitored at 505 nm. Cells were field stimulated at a frequency of 1 Hz through electrodes on either side of the chamber. Cells were first field stimulated for 5 min to allow the SR to develop a constant extent of Ca2+ loading and the Ca2+ transients produced after 5 min of continuous field stimulation were recorded for 1 min. Phoretin, phloridzin, or ethanol (vehicle control) was then added under continued field stimulation.
Before analysis, Ca2+ transients were corrected for background fluorescence and light scatter. Individual peak heights for each Ca2+ transient were determined after subtraction of the fluorescence signal during diastole; 10 to 20 individual consecutive transients were averaged to obtain the mean transient amplitude and area under the transient. Changes in transient amplitude or area are expressed as percentage of control.
Assessment of Sarcoplasmic Reticulum Ca2+ Content. The content of the sarcoplasmic reticulum Ca2+ store was assessed through caffeine exposure (Kargacin et al., 2000
, and references therein). Stores were first loaded by continuously field stimulating the cells at 1 Hz for 5 min. Field stimulation was then stopped, and within 3 s, 10 mM caffeine was applied using a rapid solution exchanger. The area of the resulting caffeine-evoked Ca2+ transient was then determined. Field stimulation was started again after the caffeine-evoked Ca2+ transient returned to baseline, and then phloretin, phloridzin, or ethanol only was added to the superfusion buffer for 10 min (with continuous field stimulation). Field stimulation was then stopped and a second caffeine pulse was then applied within 3 s, and the area under the resulting transient was compared with the area under the transient evoked by caffeine during the first (control) pulse. Experiments were also conducted in which two control Ca2+ transients were evoked by caffeine in buffer without ethanol, phloretin, or phloridzin to ensure that there were no significant changes in amplitude and/or area without the addition of drug (also see Kargacin et al., 2000
).
Measurement of Cell Shortening. The extent of unloaded shortening of ventricular myocytes was determined and quantified by an edge-detection device (Crescent Electronics, Crescent, CO) that tracked changes in cell length. Shortening was elicited in response to action potentials applied to the cell under current-clamp conditions (see below) through a patch pipette. The extent of unloaded shortening was determined by averaging cell lengths measured from a train of five action potentials delivered at a frequency of 1 Hz. Unloaded cell shortening was calculated as the fractional change of cell length relative to diastolic values before, and after, exposure to phloretin, phloridzin, or ethanol (control). The exposure time (10 min) required to obtain the maximal effects was determined empirically.
Electrical Recording. Patch pipettes were pulled (P-97 puller; Sutter Instrument Company, Novato, CA) from borosilicate glass and polished on a microforge (MF-200; WPI, Sarasota, FL). Pipettes, when filled with internal recording solution (see below), had resistances of 2 to 3 M
. For electrical recording, aliquots of isolated myocytes in suspension were transferred to a chamber on the stage of a Nikon (TE300) inverted microscope, and the cells were allowed to settle to the bottom of the chamber. The chamber was perfused at a rate of 2 ml/min (bath solution was exchanged approximately every 6 s). When used, phloretin was added to the superfusion buffer, and, after 10 min of superfusion, current recordings were made. The exposure time (10 min) required to obtain the maximal effects of phloretin was determined empirically.
The Ca2+-independent transient outward K+ current (Ito), sustained outward delayed rectifier K+ current (Isus), and inwardly rectifying K+ current (IK1) were recorded using the ruptured patch whole-cell configuration. Whole-cell K+ currents were evoked from a holding potential of 80 mV by 500-ms test pulses, in 10-mV increments, to voltages between 120 and +50 mV at a rate of 0.2 Hz.
To determine Ito, whole-cell currents were first recorded with the above-mentioned voltage protocol, and they were then recorded when 100-ms prepulses to 40 mV (to voltage-inactivate Ito) were applied immediately before the 500-ms test pulses. Off-line subtraction of currents recorded using these protocols yielded Ito.IK1 was measured using the same whole-cell protocol in the absence and presence of 200 µMBa2+ (Ba2+ selectively blocks IK1). Steady-state IK1 current values at the end of the 500-ms test pulses were analyzed.
To determine Isus, currents were recorded in the presence of 200 µMBa2+, and they were evoked by 500-ms test pulses at voltages between 120 and +50 mV following 100-ms prepulses to 40 mV from a holding potential of 80 mV. The steady-state current at the end of the 500-ms test pulse is Isus and was used in the analysis.
To measure the voltage dependence of Ito inactivation, voltage-clamped cells were held at a holding potential of 80 mV and stepped for 5 s to conditioning voltages between 120 and 10 mV, in 5-mV increments. A test pulse was then applied by stepping to +50 mV for 1 s to activate and record the remaining noninactivated current. Results are expressed relative to the maximal currents elicited during the test pulses.
Reactivation kinetics of Ito was examined using a standard paired pulse protocol. From a holding potential of 110 mV, Ito was activated during 500-ms steps to +50 mV (yielding current P1). The cells were then returned to the holding potential of 110 mV for set durations ranging from 5 to 600 ms. This was then followed by a second voltage step to +50 mV (yielding current P2). The current ratio, P2/P1, was then calculated for sets of currents. The fractional recovery of Ito (P2/P1) as a function of time was determined from the peak currents obtained after the different recovery periods at 110 mV.
L-type Ca2+ currents (ICa,L) were recorded in Cs+ buffer (see below) to block K+ currents using the perforated patch technique. ICa,L was elicited by a 1-s ramp from 80 to 40 mV (to voltage inactivate Na+ currents) followed by a 300-ms step to 10 mV, to activate ICa,L. Phloretin (20 µM) was added, and the voltage protocol was recorded every 2 min for a total of 10 min.
Action potentials were elicited in current-clamp mode through amphotericin B perforated patches. Currents (800 pA; 5-ms duration) were injected at a frequency of 1 Hz, filtered at 1 kHz, and sampled at 5 kHz. Five consecutive individual action potentials were averaged for analysis. Action potential durations were measured as the time required to reach 90% repolarization.
Analysis of Patch-Clamp Experiments. Whole-cell patch-clamp currents were recorded with an Axopatch 1-D amplifier (Molecular Devices, Sunnyvale, CA) using p-CLAMP 8.0 Digidata 1200 data acquisition and analysis software (Molecular Devices). Currents are expressed as current densities (pA/pF), and they were filtered at 1 kHz, sampled at 5 kHz, and corrected for cell capacitance before analysis. Recordings were also corrected for junction potentials (typically 911 mV).
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0.05 after analysis using Student's t test (paired or unpaired as appropriate). | Results |
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The concentration of phloridzin (100 µM) used in the experiments described above had a maximal inhibitory effect on the velocity of SR Ca2+ uptake in our previous study (Olson et al., 2006
). The concentration of phloretin (20 µM) used in the experiments in Fig. 1 was chosen because this concentration of phloretin inhibited SR Ca2+ uptake to approximately the same extent as 100 µM phloridzin. The phloretin concentration, however, is lower than that shown in our previous work to maximally inhibit Ca2+ uptake into cardiac SR vesicles. Therefore, we attempted to examine the effects of higher phloretin concentrations on Ca2+ transients in intact myocytes; however, when myocytes were superfused with buffer containing concentrations of phloretin greater than
20 µM, the cells hypercontracted once electrical stimulation was started, and they did not relax again. For this reason, we used 20 µM phloretin and 100 µM phloridzin for the remaining experiments reported here.
The experiments described above were done using fluo-3 to record the Ca2+ transients. Because fluo-3 is a nonratiometric indicator, it is possible that motion artifacts or changes in cell size due to cell shortening (see below) could have affected the transients recorded. To rule out this possibility, electrically evoked Ca2+ transients were also recorded using the ratiometric Ca2+ indicator fura-2. The results (data not shown) obtained with fura-2 were similar to those recorded with fluo-3.
Assessment of the SR Ca2+ Load in the Presence of Phloretin and Phloridzin. To assess the Ca2+ load within the SR of cardiac myocytes upon exposure to phloridzin and phloretin, we examined the effects of caffeine on isolated myocytes before, and after, the addition of phloretin or phloridzin to the superfusion buffer. The SR Ca2+ load of myocytes, as assessed by the area of the Ca2+ transients elicited in response to 10 mM caffeine, was significantly increased after 10-min exposure to 20 µM phloretin; transient area in the presence of phloretin was 202 ± 56% of control (p = 0.03; n = 8). In contrast, the SR Ca2+ load of the myocytes was not significantly different from control in the presence of 100 µM phloridzin or ethanol alone.
As described above, we noted an increase in the time constant for the decline of electrically evoked Ca2+ transients in the presence of 20 µM phloretin. This is consistent with an inhibition of SR Ca2+ uptake and/or Ca2+ extrusion through the Na+/Ca2+ exchanger; however, it is difficult to unambiguously interpret these results. The maximal cytosolic [Ca2+] values recorded in the myocytes in response to electrical stimulation were different in the presence and absence of phloretin, and it is known that the maximal [Ca2+] that SERCA is exposed to can affect its subsequent function (Bers and Berlin, 1995
). The maximal intracellular [Ca2+] values measured in response to caffeine varied more from cell to cell than those initiated by electrical stimulation. This offered us an opportunity to compare the rate of decline of caffeine-evoked Ca2+ transients from different cells when the maximal [Ca2+] levels reached in control transients were similar in magnitude to those reached in other cells in the presence of phloretin. In analyzing 12 such transients in which the maximal Ca2+ levels were not significantly different from one another (five transients from control experiments and seven transients recorded in the presence of 20 µM phloretin), we did not detect any differences in the rate constants for the decline of the transients (determined from exponential fits to the declining phases of the transients; data not shown). This suggests that neither SERCA-mediated SR Ca2+ uptake nor Ca2+ extrusion by the Na+/Ca+ exchanger was measurably affected in the presence of phloretin in intact myocytes.
Measurement of Cell Shortening and the Cardiac Action Potential in the Presence and Absence of Phloretin and Phloridzin. The effects of phloretin on electrically evoked Ca2+ transients in isolated ventricular myocytes would be expected to be associated with an increase in cell shortening in response to contractile stimuli. The results in Fig. 2 show that, after a 10-min exposure to 20 µM phloretin, the extent of cell shortening in response to action potentials (initiated through an amphotericin B perforated patch) was increased approximately 4-fold over the extent of shortening recorded in its absence. Phloridzin at 100 µM did not have a detectable effect on shortening (Fig. 2B).
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To determine the mechanisms responsible for the effects of phloretin on the Ca2+ transients and contractility of ventricular myocytes, we examined the action potentials of these cells in current-clamp mode. Representative action potentials recorded from isolated rat ventricular myocytes in the absence and presence of 20 µM phloretin or 100 µM phloridzin are shown in Fig. 3. As can be seen in the figure, phloretin greatly increased the action potential duration. The results of analysis of action potentials from six individual myocytes (Fig. 4) revealed that the mean action potential duration increased from 31 ± 5 ms before the addition of phloretin to 165 ± 18 ms after the addition (significantly different at p < 0.01; n = 6). As expected from the Ca2+ transient data, the action potential duration was not significantly different in the presence and absence of phloridzin (Fig. 4B; also see Fig. 3B).
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Whole-Cell Ca2+ and K+ Currents in the Absence and Presence of Phloretin. The results presented above indicate that the effects of phloretin on Ca2+ handling and cell shortening in ventricular myocytes are accompanied by significant changes in the action potential elicited from these cells. The changes in action potential that were recorded in the presence of phloretin (Fig. 4) are similar to those reported by others (Zhang et al., 1994
; Bogdanov et al., 1998
; Biliczki et al., 2002
; He et al., 2003
) in response to the inhibition of cardiac cell K+ currents. An increase in L-type Ca2+ current would also be expected to increase action potential duration. We therefore examined the effects of phloretin on individual whole-cell Ca2+ and K+ currents in isolated myocytes.
L-type Ca2+ currents were measured using the voltage protocol described under Materials and Methods. Peak inward currents at 10 mV were recorded at 2-min intervals for 10 min, and they are expressed relative to the current values at time t = 0 following the addition of vehicle (four experiments) or phloretin (four experiments). There were no significant differences in the L-type Ca2+ currents recorded in the presence and absence of phloretin at any of the time points examined (Fig. 5).
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Representative whole-cell current traces recorded before the dissection of individual K+ currents are shown in (Fig. 6A). Current traces obtained after prepulses to 40 mV to eliminate Ito are shown in Fig. 6B, and currents recorded in the presence of 200 µM BaCl2 to eliminate IK1 are shown in Fig. 6C. The effects of 20 µM phloretin on these currents are shown in Fig. 6, D to F. From comparison of the traces in Fig. 6, A and C, with those in Fig. 6, D and F, it is clear that phloretin has a marked effect on the peak whole-cell outward currents but that it does not seem to affect the sustained phase of the currents. The peak whole-cell currents recorded after Ito was eliminated, however, do not seem to be affected by phloretin (compare Fig. 6, B and E).
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Effects of Phloretin on Individual Ventricular K+ Currents. Figure 7 shows individual whole-cell K+ currents obtained as described in Materials and Methods. Representative Ito currents in the absence (Fig. 7A) and presence of 20 µM phloretin (Fig. 7D) indicate that peak Ito is reduced by 20 µM phloretin; however, IK1 (Fig. 7, B and E) and Isus (Fig. 7, C and F) do not seem to be altered by phloretin. These results were confirmed when the current-voltage relationships of the three currents were examined. Figure 8A shows that Ito was significantly lower in the presence of phloretin at all potentials above 30 mV. At +50 mV, Ito was reduced from a mean control value of 27 ± 3 to 6 ± 1 pA/pF (p < 0.05; n = 6) in the presence of 20 µM phloretin. IK1 (Fig. 8B) was not altered by 20 µM phloretin; mean IK1 at 120 mV was 10.3 ± 1.7 and 8.8 ± 0.7 pA/pF (p = 0.45; n = 6) in the absence and presence of phloretin, respectively. Isus (Fig. 8C) in the presence of 20 µM phloretin seemed to be slightly greater at potentials more negative than 70 mV and reduced at positive membrane potentials; however, the current values were not significantly different from control. Mean Isus at +50 mV was 7.7 ± 0.6 and 6.8 ± 0.5 pA/pF (n = 6), respectively, in the absence and presence of phloretin. These values were not significantly different (p = 0.25), nor were the values obtained at negative membrane potentials; mean Isus at 120 mV was 1.3 ± 0.6 and 3.0 ± 0.9 pA/pF (p = 0.13; n = 6), respectively, in the absence and presence of phloretin.
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Effects of Phloretin on the Inactivation and Reactivation of Ito. The effects of phloretin on voltage-dependent inactivation of Ito is shown in Fig. 9A. The available Ito at +50 mV is plotted as a function of conditioning voltage for conditioning voltages between 120 and 10 mV. The available Ito was significantly lower than control in the presence of phloretin for conditioning potentials between 80 and 60 mV, and it was significantly higher than control for conditioning potentials between 40 and 30 mV. Fitting the inactivation curves with a Boltzmann-type function indicated that the primary effect of phloretin on inactivation was to decrease the sensitivity of inactivation to changes in voltage (Table 1). There were no significant differences in the reactivation curves for Ito (Fig. 9B) measured in the presence and absence of phloretin; comparison of individual curve fits showed that the time constant for recovery from inactivation was 17.3 ± 1.1 ms (n = 3) in control experiments and 17.2 ± 1.5 ms (n = 3) in the presence of phloretin.
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| Discussion |
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In a previous study (Olson et al., 2006
), we reported that both phloretin, at concentrations of 20 µM or greater, and phloridzin, at concentrations greater that 50 µM, inhibit Ca2+ uptake into isolated cardiac SR vesicles. From these results, one might predict that electrically evoked Ca2+ transients, the SR Ca2+ load and unloaded cell shortening would be decreased in intact cardiac myocytes in the presence of either compound at the concentrations used in our experiments. Our experiments, however, did not reveal any significant effects of phloridzin on intact cardiac myocytes, and the effects of phloretin are generally opposite of what one would predict from the study of its effects on SR function.
A recent study (Walle and Walle, 2003
) showed that phloridzin is transported across cell membranes by the sodium-dependent glucose transporter found in many cell types, including cardiac myocytes (Zhou et al., 2003
). Our failure to detect an effect of phloridzin on intact myocytes could be a result of the transport mechanism not allowing enough phloridzin to enter the cells to significantly affect any of the parameters that we measured. In this regard, it should be noted that SR Ca2+ uptake velocity was only reduced to a maximal extent of approximately 20% by phloridzin in our previous experiments (Olson et al., 2006
). Thus, a limited transport of phloridzin into the myocytes could reduce the extent of it effects to an undetectable level. It is also possible that any inhibitory effects on Ca2+ handling were balanced by agonistic effects on other mechanisms.
Our results showing that phloretin increases cell shortening, Ca2+ transient amplitude, and the SR Ca2+ load in intact cardiac myocytes are consistent with a prolongation of the action potential through a mechanism that involves specific inhibition of Ito. The effects of phloretin on Ito develop relatively slowly (maximal effect after
10 min), suggesting that they may be use-dependent or that they may require phloretin to insert into, or cross, the plasma membrane. Although determination of the time constants for the decline of electrically evoked Ca2+ transients suggests that Ca2+ removal processes might be affected by phloretin, this was not confirmed when caffeine-evoked transients in control conditions were compared with transients recorded in the presence of phloretin when the transients declined from similar starting Ca2+ levels. This suggests that neither the Na+/Ca2+ exchanger nor SERCA function was measurably affected by phloretin in our experiments with intact myocytes. It should be noted, however, that the effects of phloretin on intact cardiac myocytes in these experiments were examined at a phloretin concentration of 20 µM. At this concentration, phloretin was shown to have only a minimal inhibitory effect on the rate of SR Ca2+ uptake (
10% inhibition) in our previous study (Olson et al., 2006
); thus, an effect on SR function would probably be masked by the more robust effect on Ito and the cardiac action potential. We were unable to examine the effects of higher concentrations of phloretin in the present study because, as noted above, at concentrations above 20 µM, the isolated ventricular myocytes hypercontracted and did not relax again when they were electrically stimulated.
To our knowledge, the present study is the first to examine the actions of phloretin on mammalian cardiac muscle K+ channels, and it is the first to show inhibition of Ito. Phloretin, however, is known to affect some other types of K+ channels. It has been shown to increase the current through mouse and human large-conductance Ca2+-activated K+ channels expressed in Xenopus laevis oocytes or in human embryonic kidney 293 cells (Gribkoff et al., 1996
). It also opens Ca2+-activated K+ channels in myelinated nerve fibers (Koh et al., 1994
) and in human glioma cells in culture (Ransom and Sontheimer, 2001
). In addition to agonistic effects on Ca2+-activated K+ channels, phloretin has also been reported to block two types of delayed-rectifier K+ channels (I and F channels) in myelinated nerve fibers from X. laevis (Klusemann and Meves, 1992
; Koh et al., 1994
) and the fast K+ channel in frog nerve fibers (Klusemann and Meves, 1991
).
Although phloretin increases inactivation of Ito relative to control at conditioning voltages between 80 and 60 mV, this cannot completely explain the effects of phloretin on Ito in the voltage-clamp experiments. When cells are held at a holding potential of 80 mV, one would expect phloretin to reduce Ito by approximately 20%, based on its effect on voltage-dependent inactivation (Fig. 9). In the voltage-clamp experiments, however, Ito was reduced by 80% in the presence of 20 µM phloretin (Fig. 8).
Analysis of the inhibition of Ito in the presence of phloretin revealed that the extent of inhibition was independent of voltage; the mean value of Ito in the presence 20 µM phloretin was 21.6% of its value in its absence. The solid line on the phloretin trace in Fig. 8 shows the value of Ito predicted at each test voltage when the control values of Ito were reduced by the mean percentage of inhibition determined from all test voltages. What makes these findings even more intriguing is that although we observed a near 80% reduction of Ito, this concentration of phloretin had little or no effect on other K+ currents in these cells (Fig. 8), suggesting a relative specificity for Ito. The observed action potential prolongation and positive inotropic effect is also consistent with Ito inhibition, probably as a consequence of increased Ca2+ influx through L-type Ca2+ channels due to a delay in repolarization (for review, see Sah et al., 2003
).
As noted above, phytoestrogens have been shown in clinical studies to reduce the risk of cardiovascular disease (Clarkson, 2002
; de Kleijn et al., 2002
), although there is little experimental information pertaining to the mechanisms by which this might occur. The results of the present study suggest that there could be risks associated with high levels of phloridzin or phloretin consumption. Rats ingesting the equivalent of 22 mg of phloretin in a single feeding (either directly as phloretin or as phloridzin) were found to have plasma phloretin levels of
70 µM (approximately 10% of this total was in the form of free phloretin) after 10 h (Crespy et al., 2001
). These levels are of the same order of magnitude as that of the concentration shown to affect the contractility and Ca2+ handling in cardiac myocytes in the present study. The phloretin/phloridzin content of apple pulp depends upon variety, but it may be as high as
20 mg/kg. The content of apple peel is higher; it may reach levels of
400 mg/kg (Escarpa and Gonzalez, 1998
). Thus, it is unlikely that the ingestion of phloretin through the normal consumption of apples or apple products could affect cardiac contractility; however, dietary supplements with concentrated amounts could pose a health risk. Further assessment of this possibility seems warranted if such products are contemplated or become available.
| Acknowledgements |
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| Footnotes |
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C.A.W. and G.J.K. contributed equally to this work.
Article, publication date, and citation information can be found at http://jpet.aspetjournals.org.
ABBREVIATIONS: SR, sarcoplasmic reticulum; SERCA, sarco(endo)plasmic reticulum Ca2+ ATPase; BSA, bovine serum albumin; AM, acetoxymethyl ester; Ito, Ca2+-independent transient outward K+ current; Isus, sustained outward delayed rectifier K+ current; IK1, inwardly rectifying K+ current, ICa,L, L-type Ca2+ current.
Address correspondence to: Dr. Gary J. Kargacin, Department of Physiology and Biophysics, University of Calgary, 3330 Hospital Dr. NW, Calgary, Alberta T2N 4N1, Canada. E-mail kargacin{at}ucalgary.ca
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