Alterations of the Ca²⁺ signaling pathway in pancreatic beta-cells isolated from db/db mice

Abstract

Upon glucose elevation, pancreatic beta-cells secrete insulin in a Ca²⁺-dependent manner. In diabetic animal models, different aspects of the calcium signaling pathway in beta-cells are altered, but there is no consensus regarding their relative contributions to the development of beta-cell dysfunction. In this study, we compared the increase in cytosolic Ca²⁺ ([Ca²⁺]_i) via Ca²⁺ influx, Ca²⁺ mobilization from endoplasmic reticulum (ER) calcium stores, and the removal of Ca²⁺ via multiple mechanisms in beta-cells from both diabetic db/db mice and non-diabetic C57BL/6J mice. We refined our previous quantitative model to describe the slow [Ca²⁺]_i recovery after depolarization in beta-cells from db/db mice. According to the model, the activity levels of the two subtypes of the sarco-endoplasmic reticulum Ca²⁺-ATPase (SERCA) pump, SERCA2 and SERCA3, were severely down-regulated in diabetic cells to 65% and 0% of the levels in normal cells. This down-regulation may lead to a reduction in the Ca²⁺ concentration in the ER, a compensatory up-regulation of the plasma membrane Na⁺/Ca²⁺ exchanger (NCX) and a reduction in depolarization-evoked Ca²⁺ influx. As a result, the patterns of glucose-stimulated calcium oscillations were significantly different in db/db diabetic beta-cells compared with normal cells. Overall, quantifying the changes in the calcium signaling pathway in db/db diabetic beta-cells will aid in the development of a disease model that could provide insight into the adaptive transformations of beta-cell function during diabetes development.

Graphical abstract

Keywords

diabetic beta-cells / calcium signaling alterations / SERCA pump / db/db mice

INTRODUCTION

Diabetes affects millions of people and exacts a significant toll on both individual health and society as a whole. Because diabetes is associated with both genetic and environmental factors, the etiology of the disease is complicated and unclear. Interestingly, different Ca²⁺ signaling components are disturbed in a wide range of organelles in diabetic animals and patients, suggesting a pivotal role for the dysregulation of Ca²⁺ signaling in the development of diabetes (Bergsten 2000).

Upon blood glucose elevation, pancreatic beta-cells secrete insulin in an intracellular Ca²⁺ concentration ([Ca²⁺]_i)-dependent manner, which acts on downstream target tissues to facilitate glucose uptake. This process involves different components of the Ca²⁺ signaling pathways. For example, depolarization triggered by glucose metabolism opens L-type voltage-gated Ca²⁺ channels, leading to an initial extracellular Ca²⁺ influx (Rorsman 1997) and the subsequent mobilization of Ca²⁺ stores via pathways such as the IP₃ and ryanodine receptors (Islam 2002; Duman et al. 2006). Simultaneously, clearance mechanisms such as the sarco/endoplasmic reticulum Ca²⁺-ATPase (SERCA), the plasma membrane Ca²⁺-ATPase (PMCA) and the sodium calcium exchanger (NCX) are activated to reduce elevated [Ca²⁺]_i to the physiological resting level (Chen et al. 2003; Hughes et al. 2006). Altered Ca²⁺ signaling is consistently observed in pancreatic beta-cells in diabetic animal models. For example, the L-type calcium channel was up-regulated in both neonatally streptozocin-induced and Goto-Kakizaki (GK) diabetic rats (Kato et al. 1996; Kato et al. 1994) but was down-regulated in islets from other rat models of type II diabetes (Iwashima et al. 2001; Roe et al. 1996). An altered release of endoplasmic reticulum (ER) Ca²⁺ stores via the ryanodine receptor has also been hypothesized to occur during diabetes development (Islam 2002).

SERCA is the major Ca²⁺ extrusion mechanism in mouse and rat pancreatic beta-cells (Chen et al. 2003; Hughes et al. 2006). SERCA pump activity could not be detected in db/db islets (Roe et al. 1994), whereas a selective down-regulation of SERCA3 sub-type mRNA has been reported in GK rats (Varadi et al. 1996). Missense mutations in human SERCA3 have been associated with type II diabetes (Varadi et al. 1999), suggesting a crucial role for SERCA3 in the etiology of diabetes. However, SERCA3-specific knockout (KO) mice are normoglycemic and have normal insulinemia (Arredouani et al. 2002). PMCA activity is down-regulated in certain types of diabetic islets (Roe et al. 1994; Hoenig et al. 1990; Levy et al. 1998), in contrast to beta-cells cultured under high glucose conditions, which exhibited enhanced NCX transcription (Ximenes et al. 2003). These controversies can only be resolved if the functions of different Ca²⁺ signaling proteins in normal and diabetic beta-cells are systematically compared under identical experimental conditions.

To address these questions, we compared calcium clearance in age-matched pancreatic beta-cells that were isolated from both C57BL/6J control mice and db/db mice, a widely used type II diabetic mouse model. The changes can be quantitatively modeled as a 35% reduction in SERCA2 activity, a full inhibition of the SERCA3 pump, a 30% increase in the NCX capacity and a 27% reduction in Ca²⁺ influx. Despite the severely compromised SERCA function, the Ca²⁺ concentration in the ER ([Ca²⁺]_ER) was reduced only slightly, to 89% of the control, while the ER mobilization pathways remained unchanged. Overall, these changes led to significant alterations in the glucose-induced calcium oscillations in the beta-cells of the db/db mice relative to the control.

RESULTS

Ca²⁺ clearance after depolarization stimulated Ca²⁺ influx in normal and db/db beta-cells

We have previously dissected the contributions of multiple clearance mechanisms in pancreatic beta-cells isolated from Balb/c mice through pharmacological manipulation (Chen et al. 2003). In this work, we used this method to compare the clearance mechanisms in beta-cells isolated from age-matched db/db and C57BL/6J mice. To quantitatively evaluate Ca²⁺ clearance after depolarization, control and db/db cells were stimulated with 70 mmol/L KCl for 3 s and then switched to normal extracellular solution (Fig. 1A and 1B). Compared with normal beta-cells, the db/db cells exhibited a reduced depolarization-triggered [Ca²⁺]_i elevation, and [Ca²⁺]_i returned to the basal level in normal extracellular solution at a significantly slower rate. In cells that had been pre-treated with thapsigargin (TG), an irreversible inhibitor of the SERCA pump, the increase in [Ca²⁺]_i remained smaller, but the clearance was faster in db/db cells than it was in the control cells (Fig. 1C and 1D). This result suggested not only an impairment of the SERCA pump but also a possible up-regulation of clearance mechanisms other than the SERCA pump in db/db beta-cells. To dissect the contributions of NCX and PMCA in clearance, we switched to a Na⁺-free solution (Li7.4) or a high pH extracellular solution (Na8.8) after depolarization in cells pretreated with TG (Chen et al. 2003). Compared with the control cells, Ca²⁺ clearance in db/db cells was much faster in the presence of SERCA and PMCA inhibition (TG + Na8.8). In contrast, [Ca²⁺]_i returned to the basal level with the same kinetics in db/db and control cells when only the PMCA pump was functioning (TG + Li7.4). Taken together, these results indicate the selective down-regulation of depolarization-induced Ca²⁺ influx and the SERCA pump and the up-regulation of NCX in db/db cells.

Reduced function of the SERCA pump in db/db beta-cells compared with the control

The relative expression levels of the SERCA pump in normal and db/db islets were studied using a SERCA-specific antibody that recognizes all three isoforms of SERCA. In agreement with previous experiments (Roe et al. 1994; Varadi et al. 1996), the SERCA protein levels were severely reduced in db/db islets compared with normal islets (Fig. 2A). Because the Western blotting experiments were performed using whole islets that contain alpha- and beta-cells, it is difficult to determine the specific reduction in SERCA in beta-cells. Therefore, we took a direct approach to measure SERCA function in live beta-cells (Duman et al. 2006; Albrecht et al. 2002). The application of a high concentration of a rapid inhibitor of the SERCA pump, BHQ (100 μmol/L), in resting cells (Fig. 2B) or in cells that were stimulated with a short (3 s, Fig. 2C) or long (30 s, Fig. 2D) depolarization, produced an upstroke in the [Ca²⁺]_i trace. The difference between the BHQ-induced rate of change in [Ca²⁺]_i (J₂) and the initial slope of the [Ca²⁺]_i trace immediately before BHQ application (J₁) represented the SERCA-dependent uptake of cytosolic Ca²⁺, which was correlated with different [Ca²⁺]_i levels (Duman et al. 2006; Albrecht et al. 2002). SERCA activity was inhibited at [Ca²⁺]_i ranging from 200 nm to 1000 nm, with increased inhibition at higher [Ca²⁺]_i (Fig. 2D).

Quantitative modeling of the alterations in Ca²⁺ influx and clearance in db/db beta-cells

Previously, we built a mathematical model to simulate calcium clearance in normal beta-cells that used the K_d for SERCA2 for SERCA in the simulation (Chen et al. 2003). However, pancreatic beta-cells also express the SERCA3 subtype (Varadi et al. 1996), which has a much lower affinity for Ca²⁺ (1100 nmol/L) than does SERCA2 (270 nmol/L) (Lytton et al. 1992). We therefore revised our model to accommodate two SERCA subtypes and manipulated the maximal flux rates through the influx and clearance mechanisms to best simulate the peaks of transient [Ca²⁺]_i and the time constants following depolarization in normal cells under different conditions (Fig. 3A). This simulation yielded a Vmax_SERCA2:Vmax_SERCA3 ratio of approximately 1.2:1, and the total SERCA activity correlated well with the experimental data throughout a wide range of [Ca²⁺]_i (Fig. 2D, dark dashed lines). By comparing the experimental depolarization-evoked peak [Ca²⁺]_i elevations in the control and db/db beta-cells pretreated with TG, we determined that a 27% decrease in Ca²⁺ influx from db/db cells was required to account for the decrease in amplitude triggered by depolarization. Based on the clearance dynamics in normal and db/db cells treated with TG + Li7.4 and TG + Na8.8, we determined that the NCX activity in db/db cells was up-regulated 130% relative to control cells. The residual activity levels of SERCA2 and SERCA3 in db/db beta-cells were 65% and 0% of their respective levels in the control cells, which approximated the experimental data nicely (Fig. 2D, red dashed line). With these altered parameters, the simulated [Ca²⁺]_i elevation and the clearance dynamics after depolarization fit the experimental data relatively well (Fig. 3B–D). With the parameters chosen, we reproduced the relative flux rates of the model for normal and beta-cells from db/db mice (Fig. 3E and 3F). The total Ca²⁺ extrusion rate in db/db beta-cells was ~66% of the control, and the relative role of SERCA was also reduced (from ~66%–71% of the total flux to ~41%–56%). In contrast, the relative contribution of the NCX increased, especially at high [Ca²⁺]_i (>900 nm), indicating that NCX hyper-activity may compensate for the loss of the SERCA3 subtype.

No alterations in ER Ca²⁺ permeability in db/db beta-cells compared to the control

SERCA pump defects combined with an up-regulation of NCX function often result in reduced uptake of Ca²⁺ to ER calcium stores (Ximenes et al. 2003), and alterations in ER permeability during diabetes have been suggested (Islam 2002). To quantitatively evaluate the Ca²⁺ content in the ER and its permeability, we modified a protocol from a previous study conducted in sympathetic neurons (Albrecht et al. 2002). Cells were initially bathed in an extracellular solution that did not contain Ca²⁺ or Na⁺ (Li7.4) to block the NCX and Ca²⁺ influx and were then perfused with BHQ to trigger Ca²⁺ release from the ER calcium stores (Fig. 4A). After [Ca²⁺]_i returned to the basal level, the cells were depolarized for 3 s in the presence of 4 mmol/L Ca²⁺ to boost the Ca²⁺ influx. Finally, the extracellular solution was changed back to the Ca²⁺- and Na⁺-free solution with BHQ. The rate of Ca²⁺ extrusion after KCl depolarization was therefore due solely to the PMCA (J_PMCA) and could be described by a Hill function that correlated with the different [Ca²⁺]_i levels (Fig. 4B). Because the calcium-flux changes induced by the first BHQ application (J_BHQ(t)) were a result of both the release from the ER (J_release) and Ca²⁺ extrusion via the PMCA, the J_release(t) was calculated as the difference between J_BHQ and J_PMCA at each time point (Fig. 4C). The drop in the ER Ca²⁺ concentration ([Ca²⁺]_ER) at different time points was calculated based on the following equation:

\begin{array}{}& \text{Δ}{[C{a}^{2+}]}_{ER}(t)=-\frac{V_i}{V_{ER}{K}_{ER}}{\displaystyle \underset{t}{\overset{end}{\int }}{J}_{release}{K}_{i}dt=}\frac{V_i}{V_{ER}{K}_{ER}}\text{Δ}{[C{a}^{2+}]}_{ER}^{(i)}(t),\end{array}

(Albrecht et al. 2002), in which v_i and v_ER are the volumes of the cytoplasm and the ER, respectively, and κ_i and κ_ER are the calcium buffering ratios of the cytoplasm and the ER, respectively. The minus of the integral (\text{Δ}{[C{a}^{2+}]}_{ER}^{(i)}(t)) was the change in total cytoplasmic Ca²⁺ concentration that would occur if from time t onward, J_release were deposited into a closed compartment that has the same volume as the cytoplasm. Assuming that [Ca²⁺]_ER equilibrates with [Ca²⁺]_i after BHQ application, we calculated the initial content in the ER according to the following equation:

\begin{array}{}& \text{Δ}{[C{a}^{2+}]}_{ER}^i(0)={[C{a}^{2+}]}_{i,end}{K}_i+{\displaystyle \underset{t}{\overset{end}{\int }}{J}_{release}{K}_{i}dt}\end{array}

Therefore, the time course of \text{Δ}{[C{a}^{2+}]}_{ER}^{(i)}(t) was shown in Fig. 4D, and the relative permeability of the ER was estimated according to the equation

P_{ER}(t)\left[\frac{V_i}{V_{ER}{K}_{ER}}\right]\approx -\frac{J_{release}(t)}{\text{Δ}{[C{a}^{2+}]}_{ER}^{(i)}(t)} (Fig. 4E) (Albrecht et al. 2002).

In beta-cells from db/db mice, the BHQ-triggered [Ca²⁺]_i transient was significantly lower than in the control cells (Fig. 5A). Based on the calculations, the average {[C{a}^{2+}]}_{ER}^i in the db/db beta-cells was approximately 89% of the value in the normal cells (Fig. 5C, P < 0.05). Although the time courses of J_release were apparently different in different cell types (Fig. 5B), the relative permeabilities of the ER were approximately the same (Fig. 5D), suggesting that the difference in ER release was due to a difference in the initial [Ca²⁺]_ER.

Glucose-induced calcium oscillations in normal and db/db beta-cells

Finally, we directly monitored the calcium oscillations induced by 15 mmol/L glucose in normal and db/db beta-cells (Fig. 6A). Upon the application of glucose, [Ca²⁺]_i often decreased slightly before being elevated, which was suggested to be due to the ATP-activated SERCA-dependent sequestration of [Ca²⁺]_i in the ER (Marie et al. 2001). Consistent with a significant inhibition of SERCA2 activity (Fig. 3), the initial decrease in [Ca²⁺]_i was reduced significantly in db/db cells (Fig. 6B). The maximal elevation in [Ca²⁺]_i triggered by glucose was also reduced in db/db cells compared with the control cells. However, the glucose-stimulated [Ca²⁺]_i increase was accelerated in the db/db cells, and the percentage of time the cells spent over the [Ca²⁺]_i plateau was slightly, but not significantly, different in the db/db cells. Overall, our data suggest that multiple characteristics of the glucose-triggered calcium transient are altered in db/db beta-cells.

DISCUSSION

In the current study, we showed that the PMCA activity in islets from db/db mice was not significantly different compared with that observed in normal mice, in contrast to the previously reported down-regulation of PMCA function in db/db islets and islets with insulin resistance (Roe et al. 1994; Hoenig et al. 1990; Levy et al. 1998; Alzugaray et al. 2009). The difference may be due to the different experimental conditions tested and the different cell models used. However, because PMCA plays a minor role in calcium clearance after depolarization in both mouse and rat pancreatic beta-cells (Chen et al. 2003; Hughes et al. 2006), we believe that PMCA may not be the primary target in the reshaping of beta-cell calcium signaling pathways during the development of diabetes. The functions of the SERCA2 and SERCA3 subtypes were both impaired in db/db beta-cells, as opposed to the selective impairment of SERCA3 function in GK rats. This result partially explains the normoglycemic phenotype of SERCA3 KO mice (Arredouani et al. 2002). Because the high-affinity SERCA2 subtype functions in basal [Ca²⁺]_i regulation in beta-cells (Arredouani et al. 2002), its down-regulation correlates with the reduction in the glucose-stimulated initial decrease in [Ca²⁺]_i in db/db beta-cells (Fig. 6B), which may perturb glucose-stimulated insulin secretion (Roe et al. 1994; Marie et al. 2001). In addition, we report for the first time a 30% increase in NCX activity in db/db beta-cells, which is consistent with the enhancement of NCX transcription observed in islets cultured in high glucose (Ximenes et al. 2003). Thus our data generally agree with previous studies conducted in this field. In addition, by fitting the experimental data to a modified mathematical model, we obtained a quantitative description of all alterations in the calcium signaling pathways in db/db mice, which has not been previously reported.

Perturbed Ca²⁺ homeostasis has long been proposed as a hallmark of diabetes (Bergsten 2000). Despite the many alterations in the calcium signaling pathway in beta-cells from db/db mice, we propose that the down-regulation of SERCA is the earliest event. SERCA2 and SERCA3 expression levels are reduced in islets from both type I and type II diabetic mice at earlier stages (Varadi et al. 1996; Liang et al. 2011), which may be due to increased levels of glucose (Levy et al. 1998), saturated fatty acids (Cunha et al. 2008), and cytokines (Dula et al. 2010; Cardozo et al. 2005) in the blood vessels and enhanced insulin resistance in beta-cells (Borge et al. 2002). Because the SERCA pump is the dominant clearance mechanism in beta-cells that limits the amplitude of [Ca²⁺]_i transients after depolarization, SERCA pump inhibition dramatically enhances depolarization-induced insulin secretion (Chen et al. 2003; Hughes et al. 2006). Therefore, the down-regulation of SERCA is a beneficial adaptation mechanism that enables beta-cells to secrete more insulin to compensate for the loss of beta-cell mass in type I diabetes or to overcome insulin resistance in type II diabetes. This explanation is supported by the accelerated onset of the glucose-stimulated Ca²⁺ transient in db/db diabetic beta-cells relative to the control cells (Fig. 6B). Along with the reduction in SERCA expression, fine-tuning of the voltage-gated calcium channel currents is needed to generate suitable [Ca²⁺]_i transients that maximize the secretion response and minimize the apoptosis triggered by high [Ca²⁺]_i. Because the NCX contributes more to the total clearance mechanism of beta-cells at relatively high [Ca²⁺]_i (Chen et al. 2003), the loss of low-affinity SERCA3 may lead to the adaptive upregulation of NCX observed here, which assists in calcium clearance from the cytosol during the stimulation and shaping of glucose-triggered calcium transients. Despite the significant reduction in SERCA activity and the enhanced NCX activity, the decrease in [Ca²⁺]_ER (11%) in db/db beta-cells was relatively small, in contrast to the severe reduction in [Ca²⁺]_ER from insulin-secreting cell lines treated acutely or chronically with saturated fatty acids (Cunha et al. 2008; Gwiazda et al. 2009). These results highlight the importance of systematic investigations of calcium signaling pathways alterations in primary beta-cells isolated from diabetic animals, rather than solely detecting alterations in beta-cells cultured in conditions that mimic diabetes. Decreased [Ca²⁺]_ER is a susceptibility factor for ER stress (Cunha et al. 2008; Cardozo et al. 2005). Therefore, in the long run, a prolonged small decrease in [Ca²⁺]_ER in combination with other ER stress susceptibility factors, such as excessive insulin biosynthesis (Grill and Bjorklund 2001), may ultimately result in beta-cell failure, apoptosis, and severe glucose intolerance.

In conclusion, we characterize changes in multiple aspects of the calcium signaling pathway in beta-cells isolated from db/db mice compared with the control. These quantitative studies will help build better models to describe glucose-induced Ca²⁺ oscillations in diabetic beta-cells (Bertram et al. 2004), which will provide insights into the development of insulin secretion dysfunction and beta-cell failure in the development of diabetes.

MATERIALS AND METHODS

Cell culture and Western blotting experiments

Primary islets and beta-cells were isolated from age-matched C57BL/6J and db/db mice (7–8 weeks) as previously described (Chen et al. 2003). Mouse handling and experimental procedures were conducted in accordance with the Committee for the Use of Live Animals in Teaching and Research at Institute of Molecular Medicine, Peking University. The protocol was approved by the Committee on the Ethics of Animal Experiments of Peking University (Permit Number: IMM-ChenLY-1). All surgery was performed under chloral hydrate anesthesia, and all efforts were made to minimize suffering. At this age, db/db mice were over-weight and glucose intolerant, as previously reported (Kobayashi et al. 2000). The isolated cells were plated onto polyornithine-coated glass coverslips and cultured at 37°C in 5% CO₂ in RPMI 1640 culture medium containing 10 mmol/L glucose, 10% fetal bovine serum, 100 μg/mL streptomycin and 100 IU/mL penicillin. Pancreatic beta-cells were identified by size (Cho et al. 2010) and generally used on culture day 2 or 3. For the Western blotting experiments (Fig. 2), isolated islets were homogenized using homogenate buffer to obtain total proteins. Equal amounts of proteins (approximately 30 μg/lane) were loaded to SDS-PAGE and analyzed by Western blotting using anti-SERCA1/2/3 (SANTA CRUZ, 1:800) and anti-beta actin antibody (Sigma, St. Louis, MO, 1:2000). The incubation with the antibodies was followed by the application of rabbit anti-mouse IgG peroxidase conjugate (Sigma, St. Louis, MO, 1:5000) and goat anti-rabbit IgG (Perkin Elmer, 1:5000). The blots were then probed with Western Lighting plus-ECL (Perkin Elmer, Inc.) (He et al. 2008).

Experimental set-up and Ca²⁺ photometry

Cells were loaded with fura-2-AM (10 μmol/L) in modified Ringer’s solution (130 mmol/L NaCl, 2.5 mmol/L KCl, 1 mmol/L MgCl₂, 2 mmol/L CaCl₂, 4 mmol/L glucose, and 10 mmol/L HEPES, pH 7.3) at room temperature for 20–25 min. The modified Ringer’s solution was also used as the extracellular solution for basal recording in the glucose-induced calcium oscillation experiments, in which 15 mmol/L glucose replaced 4 mmol/L glucose as the stimulus. For the Ca²⁺ clearance/[Ca²⁺]_ER evaluation experiment, the cells were perfused with the modified Ringer’s solution containing 15 mmol/L (instead of 4 mmol/L) glucose and 250 μmol/L diazoxide, and various reagents were added to this solution to inhibit clearance mechanisms, as described in the individual experiments. The depolarization solution (KCl) consisted of 70 mmol/L KCl, 67 mmol/L NaCl, 4 mmol/L CaCl₂, 1 mmol/L MgCl₂, 15 mmol/L glucose, 250 μmol/L diazoxide, and 10 mmol/L HEPES, pH 7.3. To inhibit the NCX, we used a Na⁺-free solution in which Li⁺ replaced Na⁺ (Li7.4) and raised the pH of the solution to 8.8 (Na8.8) to slow the PMCA pump (Chen et al. 2003). Rapid solution changes (<500 ms) were digitally controlled by a fast local perfusion system (Chen et al. 2003).

For photometry, the cells were excited by sequential 340 and 380 nm light generated by a computer-controlled PolyChrome IV (TILL Photonics) light source, and the emission at 505 nm was collected by a photodiode. The PULSE software was used to coordinate protocols and collect data, which were analyzed using IGOR Pro. The standard calibration parameters R_min, R_max and K* were determined as previously described (Chen et al. 2003).

Measurement of J_SERCA and J_release activity at different [Ca²⁺]_i in live beta-cells

Following previously published reports (Duman et al. 2006; Albrecht et al. 2002), we applied a high dose of tert-butylhydroquinone (BHQ, 100 μmol/L) to abruptly stop the uptake of Ca²⁺ by the ER via the SERCA pump. The total cellular Ca²⁺ flux can be calculated as the rate of change of [Ca²⁺]_i (defined as –d[Ca²⁺]_i/dt). Prior to the application of BHQ, the total cellular Ca²⁺ flux (J₁) can be described by the equation

\begin{array}{}\text{(Eq:1)}& J_1=J_{SERCA}+J_{release}+J_{PM}\end{array}

J_SERCA is the Ca²⁺ flux due to the BHQ-sensitive pumping of Ca²⁺ into the ER; J_release is the flux into the cytosol from intracellular stores; and J_PM is the flux across the plasma membrane. The acute application of BHQ changes the new total cellular Ca²⁺ flux (J₁) according to

\begin{array}{}\text{(Eq:2)}& J_2=J_{release}+J_{PM}\end{array}

Therefore, the value of J_SERCA was calculated as the difference between J₁ and J₂. In Fig. 4, we briefly treated the beta-cells with High K⁺ solution containing BHQ to obtain Ca²⁺ clearance by the PMCA pump alone, and J_PMCA was fitted to a Hill equation to describe its relationship to different [Ca²⁺]_i levels. Therefore, a different J_release(t) was calculated based on Eq. 2, and the appropriate value of J_PMCA was inserted.

Data analysis

All data were analyzed using the Igor Pro software (Wavemetrics, Lake Oswego, OR). The averaged results are presented as the mean value ± SEM of the number of experiments indicated. The statistical significance was evaluated using either Student’s t-test for single Gaussian distributed datasets or the Mann-Whitney rank sum test for non-single Gaussian-distributed datasets. The asterisks *, **, and *** denote statistical significances with P values less than 0.05, 0.01, and 0.001, respectively.

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The Author(s) 2014.