Molecular Medicine |
From the Department of Cardiac Medicine, National Heart & Lung Institute, Imperial College of Science, Technology & Medicine, London, UK.
Correspondence to R. Sitsapesan, Department of Cardiac Medicine, National Heart & Lung Institute, Imperial College of Science, Technology & Medicine, Dovehouse St, London SW3 6LY, UK. E-mail r.sitsapesan{at}ic.ac.uk
| Abstract |
|---|
|
|
|---|
Key Words: ryanodine receptors Ca2+ release cardiac excitation-contraction coupling sarcoplasmic reticulum
| Introduction |
|---|
|
|
|---|
By reconstituting single RyR into bilayers, several investigators have already demonstrated that increasing the luminal [Ca2+] leads to increases in open probability (Po).3 7 8 9 10 The mechanism for this effect, however, is a matter of considerable debate at present because investigators are divided into 2 camps. It was originally suggested that changes in luminal [Ca2+] cause changes in RyR gating by interacting with luminal binding sites on the channel.7 Subsequent work provided further evidence for this hypothesis.3 8 11 Other investigators, however, have suggested that luminal Ca2+ modulates Po because it flows through the open channel and acts via cytosolic Ca2+ binding sites and does not interact with luminal sites.9 10 Unequivocal proof of the site of action of luminal Ca2+ has been confounded by the fact that RyR channels can be activated and inactivated by cytosolic Ca2+, making it very difficult to completely exclude the possibility that luminal Ca2+ has some access to cytosolic Ca2+ binding sites even at high positive trans-membrane potentials. Therefore, in the present study, we used a different approach to examine this question, namely, tryptic digestion of sites exposed on the luminal side of the bilayer. Elegant experiments in the squid giant axon set a precedent for using proteolysis as a means of separating activation and inactivation gating processes in ion channels.12 Our experiments provide compelling evidence to suggest that there are luminal Ca2+ binding sites located either on the cardiac RyR channels or on a closely associated protein that regulates RyR gating. Moreover, our results indicate for the first time the existence of luminal inhibition sites.
| Materials and Methods |
|---|
|
|
|---|
Single-channel data were displayed on an oscilloscope and stored on
digital audio tape (DAT, Intracel). The holding potential was switched
between +40 and -40 mV every 30 seconds. A channel eventdetection
program (Satori, Intracel) was used to analyze the data.
Current recordings were filtered at 1 kHz and digitized at 2
kHz. Po was determined for both holding potentials from a
total of 2 minutes of recording by using a 50% threshold
analysis.15 The average Po for
multiple channels was calculated as previously described.8
The total number of channels in the bilayer was obtained by fully
opening the channels with the caffeine analog, EMD 41000 (Merck
Pharmaceuticals). Po values are quoted as mean±SEM for
n
4. For n=3, mean±SD is given.
Materials
All chemicals were AnalaR or the best available
grade from Sigma Chemical Co or BDH.
| Results |
|---|
|
|
|---|
0. The addition
of 1 mmol/L ATP to the cytosolic channel side increased
Po to 0.157±0.100 at +40 mV and 0.110±0.93 (mean±SEM,
n=8) at -40 mV. When channels were thus activated
synergistically by cytosolic Ca2+ and ATP,
increasing the luminal [Ca2+] was then able to
cause further increases in Po at both +40 and -40 mV.
After the addition of 1 mmol/L luminal Ca2+,
Po was 0.369±0.132 at +40 mV and 0.254±0.100 at -40 mV
(mean±SEM, n=8). Figure 1
|
Effects of Luminal Trypsin
Figure 2
illustrates a
representative experiment in which the effects of
1 mmol/L luminal Ca2+ on RyR gating were
compared before and after luminal incubation with 400 µg/mL trypsin.
To serve as an internal control, the RyRs were first shown to be
responsive to ATP and luminal Ca2+ before trypsin
incubation. Figure 2
(left) illustrates a typical experiment in
which channels were first activated by 1 mmol/L ATP and
10 µmol/L cytosolic Ca2+ (top trace) and
subsequently activated further by increasing luminal
[Ca2+] from 10 µmol/L to 1 mmol/L
(bottom trace). Trypsin (400 µg/mL) was added to the luminal side of
the bilayer, in the continued presence of 1 mmol/L luminal
Ca2+. After 6 minutes of incubation, the reaction
was stopped by the removal of trypsin and 1 mmol/L luminal
Ca2+ by perfusion with solution containing
250 mmol/L Cs+ and 10 µmol/L
Ca2+. The gating of the channels after perfusion
is shown in the right panel (top trace) of Figure 2
. The right
panel (lower trace) also demonstrates that readdition of 1 mmol/L
luminal Ca2+ now results in a marked lowering of
Po. For example, at -40 mV, Po was
0.092±0.102 (mean±SEM, n=4) after perfusion and was reduced to
0.016±0.011 (mean±SEM, n=4) after readdition of 1 mmol/L luminal
Ca2+. The reduction in Po caused by
1 mmol/L luminal Ca2+ in trypsin-treated
channels was observed at both +40 mV and -40 mV. Reversal of the
Ca2+-induced inhibition was also observed at both
holding potentials after lowering the free luminal
[Ca2+] to 90 nmol/L and is demonstrated in a
representative experiment in Figure 3
. After incubation with trypsin,
Po was 0.053±0.038 and 0.016±0.011 (mean±SEM, n=4) at
+40 mV and -40 mV, respectively, in the presence of 1 mmol/L
luminal Ca2+ and was 0.110±0.096 and
0.103±0.104 (mean±SEM, n=4) at +40 mV and -40 mV, respectively,
after lowering the luminal free [Ca2+] to 90
nmol/L.
|
|
The addition of trypsin to the luminal side of the bilayer caused a
time-dependent effect on channel gating at both +40 mV and -40 mV and
is shown in Figure 4
. Po
appeared to increase immediately after luminal trypsin addition but was
followed within 1 minute by a gradual decline in Po. For
example, at -40 mV, average Po was 0.303±0.216
(mean±SEM, n=4) in the first 30 seconds immediately after the addition
of trypsin (400 µg/mL) to the luminal chamber. After 3 and 6 minutes
of incubation, Po declined to 0.108±0.059 and 0.031±0.019
(mean±SEM, n=4), respectively. A similar decrease in Po
with time was observed at +40 mV.
|
Effects of Luminal Trypsin on Conductance
Figure 5
illustrates the changes in
RyR current amplitude at +40 and -40 mV that occur with changes in
luminal [Ca2+] and luminal trypsin addition.
Addition of 1 mmol/L luminal Ca2+ caused a
reduction in current amplitude at both +40 mV and -40 mV (Figure
5b), as previously observed7 8 and expected from a
knowledge of the conductance and relative permeabilities of divalent
and monovalent cations in the cardiac RyR.16 This was
followed by a further reduction in current amplitude by trypsin (Figure
5c). For example, at -40 mV, current amplitude was reduced from
18.68±0.37 to 17.61±0.51 pA (mean±SEM, n=4) after increasing luminal
[Ca2+] from 10 µmol/L to 1 mmol/L
and was further reduced to 14.01±0.67 pA at -40 mV (mean±SEM, n=4)
after trypsin incubation. Removal of trypsin and returning the free
luminal [Ca2+] to 10 µmol/L by perfusion
of the luminal chamber restored current amplitude to control levels
(Figure 5d
). Readdition of 1 mmol/L luminal
Ca2+ again lowered current amplitude to the same
level that was observed before trypsin incubation (results not shown).
Thus, although the effects of trypsin incubation on RyR gating were
irreversible, the effects on single-channel conductance were
reversible, indicating that the conductance-induced changes were not
caused by tryptic digestion of the channel.
|
Effects of Heat-Inactivated Trypsin on RyR
Function
To examine whether the change in RyR response to luminal
Ca2+ observed after treatment with trypsin was
the result of its proteolytic activity, control experiments were
performed with the use of heat-inactivated trypsin. Trypsin
was boiled for 10 minutes, and the loss of enzymatic activity was
qualitatively tested with SDS-PAGE by comparing its ability to cleave
BSA with that of the active enzyme. We found that
heat-inactivated trypsin produced a similar reversible
reduction in Cs+ current amplitude at both +40
and -40 mV, as was observed with active trypsin. For example, at -40
mV, current amplitude was 18.87±0.61 pA before and 15.58±0.70 pA
(mean±SD, n=3) after luminal addition of 1 mmol/L
Ca2+ and 400 µg/mL inactivated
trypsin. The effects of heat-inactivated trypsin on luminal
Ca2+ modulation of RyR gating is shown in a
representative experiment in Figure 6
. There was no significant difference in
the effects of heat-inactivated trypsin at +40 or -40 mV,
but for clarity, only the effects at -40 mV are shown. The figure
demonstrates that the channels respond normally to changes in luminal
[Ca2+] before incubation with
heat-inactivated trypsin; increasing the luminal
[Ca2+] from 10 µmol/L to 1 mmol/L
produced an increase in Po (top and middle traces).
Po was 0.113±0.019 at +40 mV and 0.069±0.063 at -40 mV
(mean±SD, n=3) in the presence of 10 µmol/L luminal
Ca2+. After increasing luminal
Ca2+ to 1 mmol/L, the Po just
before the addition of heat-inactivated trypsin was
0.448±0.217 at +40 mV and 0.261±0.150 at -40 mV (mean±SD, n=3).
Subsequent incubation of the channels with 400 µg/mL
heat-inactivated trypsin for 6 minutes did not cause any
time-dependent reduction in Po, as was observed with active
trypsin (see Figure 4
). For example, the Po at +40
mV after perfusing away the heat-inactivated trypsin from
the luminal channel side and reestablishing the luminal
[Ca2+] at 1 mmol/L was 0.447±0.030
(mean±SD, n=3). The results with the heat-inactivated
trypsin indicate that the decrease in Po caused by
incubation with active trypsin is the result of tryptic digestion of
luminal sites.
|
| Discussion |
|---|
|
|
|---|
We find that the Po of sheep cardiac RyR channels
activated by 1 mmol/L ATP in the presence of 10
µmol/L cytosolic Ca2+ can be further increased
by increasing luminal [Ca2+] from 10
µmol/L to 1 mmol/L. The results are similar to the effects of
luminal Ca2+ in native canine cardiac
channels.3 11 A direct comparison with the effects of
luminal Ca2+ on sheep skeletal RyRs under
identical experimental conditions indicates that sheep cardiac RyRs are
less sensitive to changes in luminal [Ca2+]
than are sheep skeletal channels.8 Sheep skeletal channels
could be almost fully activated by 1 mmol/L luminal
Ca2+, whereas in the present study, we found
that Po was increased to only
0.4. Indeed, experiments
with RyR channels, purified as previously described,13
provide no further clues as to the precise location of the luminal
Ca2+ binding sites on the RyR channel complex
(see online supplementary information, available at
http://www.circresaha.org).
As shown previously for skeletal8 and cardiac11 RyRs activated synergistically by cytosolic ATP and Ca2+, we find that the stimulatory effects of luminal Ca2+ are not significantly different at +40 mV or at -40 mV. The different holding potentials produce a marked difference in the amount of Ca2+ flux through the channel9 18 ; therefore, as we suggested in our earlier study,8 our control results with luminal Ca2+ argue against the possibility of luminal Ca2+ acting by binding to cytosolic sites.
Trypsin incubation altered RyR function in at least 2 respects. First, trypsin reduced conductance; second, the response of the channel to luminal Ca2+ was altered. The 2 effects appear to be the result of different interactions of trypsin with the channel because the conductance change was reversible after perfusing away the trypsin, whereas the gating change was irreversible. Further distinction between the 2 effects was obtained by the use of heat-inactivated trypsin. Heat-inactivated trypsin also caused a similar reversible reduction in conductance but did not cause the trypsin-induced change in RyR gating. These data lead us to conclude that the conductance effect is the result of a protein-protein interaction between RyR and trypsin, whereas the change in the response of RyR to luminal Ca2+ involves cleavage of exposed luminal sites. Therefore, the results strongly suggest that the increase in Po observed in response to an increase in luminal [Ca2+] is due to the binding of Ca2+ to luminal sites on the RyR protein complex and not the result of Ca2+ flowing through the channel to act on cytosolic sites. Furthermore, the fact that trypsin completely abolishes any stimulatory effect of luminal Ca2+ and does not leave a residual stimulatory effect argues against any contribution to a luminal Ca2+-induced increase in Po by Ca2+ flowing through the channel and accessing cytosolic binding sites.
The unexpected reduction in Po caused by increasing luminal [Ca2+] after incubation with trypsin indicates that there are also luminal Ca2+ binding sites on the RyR protein complex that mediate the inhibition of RyR activity. The simplest explanation for our results is that there are luminal Ca2+ activation and Ca2+ inhibition sites but that trypsin cleavage of the RyR protein complex damages the activation site(s) while allowing the inhibitory site(s) to remain functional. Changing the holding potential and, therefore, the Ca2+ flux through the channel does not affect the inhibitory action of luminal Ca2+, indicating that the sites mediating the inhibition do not have a cytosolic location. This is the first time that an inhibitory effect of luminal Ca2+ has been observed in cardiac RyRs, although high luminal [Ca2+] has been reported to inhibit purified rabbit skeletal RyRs.9 10 It is possible that skeletal inhibitory luminal Ca2+ binding sites exhibit a relatively higher affinity for Ca2+ than do the cardiac inhibitory sites or that the purification procedure has led to alterations to luminal activation sites. The fact that 1 mmol/L luminal Ca2+ causes activation of the cardiac RyR before trypsinization but channel inactivation after trypsinization indicates either that the luminal activation sites have a higher affinity for Ca2+ or that they transduce a greater change in Po than do the inhibition sites.
The mechanism underlying the reduced current amplitude observed in the
presence of trypsin or heat-inactivated trypsin is not
known. It is possible that both molecules interact with RyRs near the
luminal mouth of the pore and block the flow of permeant ions, but
equally, trypsin (and heat-inactivated trypsin) may bind
elsewhere on the RyR protein complex, resulting in a conformational
change of RyR that leads to the reduction in conductance. Further
experiments are required to understand the conductance changes observed
with these molecules. The importance of these results lies in the fact
that the irreversible change in RyR gating is not associated with any
measurable changes in conductance either when Cs+
is the permeant ion or when appreciable Ca2+
current is evident (see Figure 5
), indicating that the trypsin
cleavage of luminally located residues does not lead to any major
changes in the pore structure of the channel. Therefore, these results
provide strong evidence that the Ca2+ binding
sites involved in the effects of luminal Ca2+ on
channel gating are distinct from any cation binding sites within the
channel pore.
Where are the luminal Ca2+ binding sites? The precise location is not yet known, but they must be situated either on RyR or on a protein that remains associated with RyRs after incorporation into the bilayer. Trypsin preferentially cleaves amino acid residues with positively charged side chains.19 RyRs have a number of lysine and arginine residues in the C-terminal domain that are predicted to have a luminal location and that could be the putative sites for cleavage in the present experiments,20 21 22 23 but so also do the luminal domains of junctin and triadin.17 24 In a number of cases, these residues are located closely to negatively charged residues, which potentially could form Ca2+ binding regions. Trypsin does not cleave calsequestrin under our conditions of trypsin incubation (in the presence of 1 mmol/L Ca2+),25 suggesting that the observed changes to luminal Ca2+ modulation of Po are not caused by damage to calsequestrin.
Our observation that luminal Ca2+ can regulate cardiac RyR gating from the luminal side of the bilayer and does not require that Ca2+ should first flow through the channel before binding to cytosolic sites is crucial for a full understanding of the mechanisms determining the dependence of SR Ca2+ release on SR Ca2+ content. Unlike the situation in the bilayer, it would be expected that in the restricted space of the cleft region in cardiac cells, the Ca2+ flowing through RyRs would feed back to regulate RyR gating by binding to Ca2+ activation and inhibition sites. The luminal regulatory sites proposed in the present study would provide an additional distinct mechanism by which the SR [Ca2+] could modulate the release mechanism, thus allowing a far greater degree of potentiation in the gain of EC coupling. Therefore, our results may help to explain the nonlinear relationship between SR Ca2+ content and SR Ca2+ release and the hugely steep increases in Ca2+ release and in the gain of EC coupling at high SR Ca2+ levels, described by Shannon et al.6 Importantly, the SR [Ca2+] at which the authors observed steep changes in Ca2+ release corresponds closely to the levels of luminal Ca2+ that have been shown to activate isolated cardiac RyR channels reconstituted into bilayers.3 7 11 26 Because changes in SR load can occur under pathological conditions such as heart failure and ischemia, the above discussion would suggest that small changes in SR Ca2+ content may lead to large changes in contractility. Therefore, it is crucial to understand the mechanisms responsible for regulating the gating of the cardiac RyR channel by luminal [Ca2+].
In summary, we demonstrate that the cardiac RyR response to luminal Ca2+ can be altered by physical protein modifications at the luminal side of the bilayer, indicating that luminal Ca2+ can regulate channel gating by binding to luminal sites on the RyR channel complex. Our results reveal for the first time the presence of luminal Ca2+ activation and inactivation sites, although the exact location of the sites is yet to be elucidated. Luminal Ca2+ binding sites would play an important role in regulating SR Ca2+ release and contractility in cardiac muscle by providing an increased potential for increasing the gain of EC coupling.
| Acknowledgments |
|---|
Received March 9, 2000; accepted June 9, 2000.
| References |
|---|
|
|
|---|
This article has been cited by other articles:
![]() |
J. Qin, G. Valle, A. Nani, A. Nori, N. Rizzi, S. G. Priori, P. Volpe, and M. Fill Luminal Ca2+ Regulation of Single Cardiac Ryanodine Receptors: Insights Provided by Calsequestrin and its Mutants J. Gen. Physiol., March 31, 2008; 131(4): 325 - 334. [Abstract] [Full Text] [PDF] |
||||
![]() |
S. Gyorke and D. Terentyev Modulation of ryanodine receptor by luminal calcium and accessory proteins in health and cardiac disease Cardiovasc Res, January 15, 2008; 77(2): 245 - 255. [Abstract] [Full Text] [PDF] |
||||
![]() |
D. Jiang, W. Chen, R. Wang, L. Zhang, and S. R. W. Chen Loss of luminal Ca2+ activation in the cardiac ryanodine receptor is associated with ventricular fibrillation and sudden death PNAS, November 13, 2007; 104(46): 18309 - 18314. [Abstract] [Full Text] [PDF] |
||||
![]() |
K. Essin, A. Welling, F. Hofmann, F. C. Luft, M. Gollasch, and S. Moosmang Indirect coupling between Cav1.2 channels and ryanodine receptors to generate Ca2+ sparks in murine arterial smooth muscle cells J. Physiol., October 1, 2007; 584(1): 205 - 219. [Abstract] [Full Text] [PDF] |
||||
![]() |
D. R. Laver Ca2+ Stores Regulate Ryanodine Receptor Ca2+ Release Channels via Luminal and Cytosolic Ca2+ Sites Biophys. J., May 15, 2007; 92(10): 3541 - 3555. [Abstract] [Full Text] [PDF] |
||||
![]() |
H. Kong, R. Wang, W. Chen, L. Zhang, K. Chen, Y. Shimoni, H. J. Duff, and S. R. W. Chen Skeletal and Cardiac Ryanodine Receptors Exhibit Different Responses to Ca2+ Overload and Luminal Ca2+ Biophys. J., April 15, 2007; 92(8): 2757 - 2770. [Abstract] [Full Text] [PDF] |
||||
![]() |
A. A. Armoundas, J. Rose, R. Aggarwal, B. D. Stuyvers, B. O'Rourke, D. A. Kass, E. Marban, S. R. Shorofsky, G. F. Tomaselli, and C. William Balke Cellular and molecular determinants of altered Ca2+ handling in the failing rabbit heart: primary defects in SR Ca2+ uptake and release mechanisms Am J Physiol Heart Circ Physiol, March 1, 2007; 292(3): H1607 - H1618. [Abstract] [Full Text] [PDF] |
||||
![]() |
L. Wei, M. Varsanyi, A. F. Dulhunty, and N. A. Beard The Conformation of Calsequestrin Determines Its Ability to Regulate Skeletal Ryanodine Receptors Biophys. J., August 15, 2006; 91(4): 1288 - 1301. [Abstract] [Full Text] [PDF] |
||||
![]() |
W. Hleihel, A. Lafoux, N. Ouaini, A. Divet, and C. Huchet-Cadiou Adenosine affects the release of Ca2+ from the sarcoplasmic reticulum via A2A receptors in ferret skinned cardiac fibres Exp Physiol, July 1, 2006; 91(4): 681 - 691. [Abstract] [Full Text] [PDF] |
||||
![]() |
Z. Kubalova, D. Terentyev, S. Viatchenko-Karpinski, Y. Nishijima, I. Gyorke, R. Terentyeva, D. N. Q. da Cunha, A. Sridhar, D. S. Feldman, R. L. Hamlin, et al. Abnormal intrastore calcium signaling in chronic heart failure PNAS, September 27, 2005; 102(39): 14104 - 14109. [Abstract] [Full Text] [PDF] |
||||
![]() |
S. L.W. Miller, S. Currie, C. M. Loughrey, S. Kettlewell, T. Seidler, D. F. Reynolds, G. Hasenfuss, and G. L. Smith Effects of calsequestrin over-expression on excitation-contraction coupling in isolated rabbit cardiomyocytes Cardiovasc Res, September 1, 2005; 67(4): 667 - 677. [Abstract] [Full Text] [PDF] |
||||
![]() |
E. A. Sobie, L.-S. Song, and W. J. Lederer Local recovery of Ca2+ release in rat ventricular myocytes J. Physiol., June 1, 2005; 565(2): 441 - 447. [Abstract] [Full Text] [PDF] |
||||
![]() |
N. A. Beard, M. G. Casarotto, L. Wei, M. Varsanyi, D. R. Laver, and A. F. Dulhunty Regulation of Ryanodine Receptors by Calsequestrin: Effect of High Luminal Ca2+ and Phosphorylation Biophys. J., May 1, 2005; 88(5): 3444 - 3454. [Abstract] [Full Text] [PDF] |
||||
![]() |
Z. Yang, S. M. Harrison, and D. S. Steele ATP-dependent effects of halothane on SR Ca2+ regulation in permeabilized atrial myocytes Cardiovasc Res, January 1, 2005; 65(1): 167 - 176. [Abstract] [Full Text] [PDF] |
||||
![]() |
D. R. Laver, E. R. O'Neill, and G. D. Lamb Luminal Ca2+-regulated Mg2+ Inhibition of Skeletal RyRs Reconstituted as Isolated Channels or Coupled Clusters J. Gen. Physiol., November 29, 2004; 124(6): 741 - 758. [Abstract] [Full Text] [PDF] |
||||
![]() |
I. Gyorke, N. Hester, L. R. Jones, and S. Gyorke The Role of Calsequestrin, Triadin, and Junctin in Conferring Cardiac Ryanodine Receptor Responsiveness to Luminal Calcium Biophys. J., April 1, 2004; 86(4): 2121 - 2128. [Abstract] [Full Text] [PDF] |
||||
![]() |
R. Hinch A Mathematical Analysis of the Generation and Termination of Calcium Sparks Biophys. J., March 1, 2004; 86(3): 1293 - 1307. [Abstract] [Full Text] [PDF] |
||||
![]() |
A. Zahradnikova, M. Dura, I. Gyorke, A. L. Escobar, I. Zahradnik, and S. Gyorke Regulation of dynamic behavior of cardiac ryanodine receptor by Mg2+ under simulated physiological conditions Am J Physiol Cell Physiol, November 1, 2003; 285(5): C1059 - C1070. [Abstract] [Full Text] [PDF] |
||||
![]() |
M. Scoote and A. J Williams The cardiac ryanodine receptor (calcium release channel): Emerging role in heart failure and arrhythmia pathogenesis Cardiovasc Res, December 1, 2002; 56(3): 359 - 372. [Abstract] [Full Text] [PDF] |
||||
![]() |
M. Fill and J. A. Copello Ryanodine Receptor Calcium Release Channels Physiol Rev, October 1, 2002; 82(4): 893 - 922. [Abstract] [Full Text] [PDF] |
||||
![]() |
D. Terentyev, S. Viatchenko-Karpinski, H. H. Valdivia, A. L. Escobar, and S. Gyorke Luminal Ca2+ Controls Termination and Refractory Behavior of Ca2+-Induced Ca2+ Release in Cardiac Myocytes Circ. Res., September 6, 2002; 91(5): 414 - 420. [Abstract] [Full Text] [PDF] |
||||
![]() |
S. Huke, V. Prasad, M. L. Nieman, K. J. Nattamai, I. L. Grupp, J. N. Lorenz, and M. Periasamy Altered dose response to beta -agonists in SERCA1a-expressing hearts ex vivo and in vivo Am J Physiol Heart Circ Physiol, September 1, 2002; 283(3): H958 - H965. [Abstract] [Full Text] [PDF] |
||||
![]() |
E. A. Sobie, K. W. Dilly, J. dos Santos Cruz, W. J. Lederer, and M. S. Jafri Termination of Cardiac Ca2+ Sparks: An Investigative Mathematical Model of Calcium-Induced Calcium Release Biophys. J., July 1, 2002; 83(1): 59 - 78. [Abstract] [Full Text] [PDF] |
||||