Leptinotarsin-D, a neurotoxic protein, evokes neurotransmitter release from, and calcium flux into, isolated electric organ nerve terminals

Previous work has demonstrated that the neurotoxin leptinotarsin elicits release of neurotransmitter from mammalian nerve terminals, and it has been suggested that the toxin may act either as a direct agonist of voltage-sensitive calcium channels in these terminals (Crosland et al., 1984) or as a calcium ionophore (Madeddu et al., 1985a,b). Preliminary studies (Yeager et al., 1987) demonstrated that leptinotarsin also evokes transmitter release from isolated elasmobranch electric organ nerve terminals. We now report further investigations of the effects of leptinotarsin in this system. The action of the toxin is saturable, releasing about the same small fraction of total transmitter as that released by depolarization. An upper limit for the concentration for half maximal release is estimated to be 4 nM. Leptinotarsin-evoked transmitter release exhibits behavior very similar to depolarization-evoked release with respect to dependence on Ca2+, Ba2+, and Sr2+ and blockade by Co2+, Cd2+, and trifluoperazine. Leptinotarsin also promotes the uptake of calcium into synaptosomes to a degree similar to that caused by depolarization by K+. The binding of leptinotarsin to nerve terminals is probably Ca2+ dependent and receptor mediated. Taken together with the behavior of leptinotarsin-evoked release in other preparations, these results are consistent with the hypothesis that this toxin acts by opening a presynaptic calcium channel. However, the possibility that leptinotarsin is a calcium ionophore cannot be excluded.     

Effects of rapid prey evolution on predator–prey cycles

We study the qualitative properties of population cycles in a predator-prey system where genetic variability allows contemporary rapid evolution of the prey. Previous numerical studies have found that prey evolution in response to changing predation risk can have major quantitative and qualitative effects on predator-prey cycles, including: (1) large increases in cycle period, (2) changes in phase relations (so that predator and prey are cycling exactly out of phase, rather than the classical quarter-period phase lag), and (3) "cryptic" cycles in which total prey density remains nearly constant while predator density and prey traits cycle. Here we focus on a chemostat model motivated by our experimental system (Fussmann et al. in Science 290:1358-1360, 2000; Yoshida et al. in Proc roy Soc Lond B 424:303-306, 2003) with algae (prey) and rotifers (predators), in which the prey exhibit rapid evolution in their level of defense against predation. We show that the effects of rapid prey evolution are robust and general, and furthermore that they occur in a specific but biologically relevant region of parameter space: when traits that greatly reduce predation risk are relatively cheap (in terms of reductions in other fitness components), when there is coexistence between the two prey types and the predator, and when the interaction between predators and undefended prey alone would produce cycles. Because defense has been shown to be inexpensive, even cost-free, in a number of systems (Andersson et al. in Curr Opin Microbiol 2:489-493, 1999: Gagneux et al. in Science 312:1944-1946, 2006; Yoshida et al. in Proc Roy Soc Lond B 271:1947-1953, 2004), our discoveries may well be reproduced in other model systems, and in nature. Finally, some of our key results are extended to a general model in which functional forms for the predation rate and prey birth rate are not specified.     

A Comparison of Continuous and Discrete-time West Nile Virus Models

The first recorded North American epidemic of West Nile virus was detected in New York state in 1999, and since then the virus has spread and become established in much of North America. Mathematical models for this vector-transmitted disease with cross-infection between mosquitoes and birds have recently been formulated with the aim of predicting disease dynamics and evaluating possible control methods. We consider discrete and continuous time versions of the West Nile virus models proposed by Wonham et al. [Proc. R. Soc. Lond. B 271:501–507, 2004] and by Thomas and Urena [Math. Comput. Modell. 34:771–781, 2001], and evaluate the basic reproduction number as the spectral radius of the next-generation matrix in each case. The assumptions on mosquito-feeding efficiency are crucial for the basic reproduction number calculation. Differing assumptions lead to the conclusion from one model [Wonham, M.J. et al., [Proc. R. Soc. Lond. B] 271:501–507, 2004] that a reduction in bird density would exacerbate the epidemic, while the other model [Thomas, D.M., Urena, B., Math. Comput. Modell. 34:771–781, 2001] predicts the opposite: a reduction in bird density would help control the epidemic.     

Monitoring spontaneous and induced human mutation by RAPD-PCR: a response to Weinberg et al. (2001).

Weinberg et al. (2001, Proc. R. Soc. Lond. B 268, 1001-1005) have recently reported a major increase in mutation rate in the children of Chernobyl liquidators as a result of their fathers' exposure to ionizing radiation. If correct, this would provide dramatic evidence for radiation-induced mutation in humans, and would raise major concerns over the genetic effects of radiation. However, mutants were mainly detected using random amplified polymorphic DNA-PCR, an unreliable technology. These mutants were not validated and had no obvious molecular basis. They may, instead, have arisen as PCR artefacts or through non-paternity or sample mix-up. Unless these mutants can be validated, we recommend that Weinberg et al. withdraw their remarkable claims.     

Actin-binding proteins regulate the work performed by myosin II motors on single actin filaments.

Regulation of actin/myosin II force generation by calcium [Kamm and Stull, Annu. Rev. Physiol. 51:299-313, 1989] and phosphorylation of myosin II light chains [Sellers and Adelstein, "The Enzymes," Vol. 18, Orlando, FL: Academic Pres, 1987, pp. 381-418] is well established. However, additional regulation of actin/myosin II force generation/contraction may result from actin-binding proteins [Stossel et al., Ann. Rev. Cell Biol. 1:353-402, 1985; Pollard and Cooper, Ann. Rev. Biochem. 55:987-1035, 1986] as they affect the gel state of the actin cytomatrix [reviewed in Taylor and Condeelis, Int. Rev. Cytol., 56:57-143, 1979]. Regulation of the gel state of actin may determine whether an isotonic or isometric contraction results from the interaction between myosin and actin. We have extended the single actin filament motility assay of Kron and Spudich [Proc. Natl. Acad. Sci. U.S.A. 83:6272-6276, 1986] by including filamin or alpha-actinin on the substrate with myosin II to examine how actin-crosslinking proteins regulate the movements of single actin filaments. Increasing amounts of actin-crosslinking proteins inhibit filament velocity and decrease the number of filaments moving. Reversal of crosslinking yields increased velocities and numbers of moving filaments. These results support the solation-contraction coupling hypothesis [see Taylor and Fechheimer, Phil. Trans. Soc. London B 299:185-197, 1982] which proposes that increased crosslinking of actin inhibits myosin-based contraction. This study also illustrates the potentially varied roles of different actin-crosslinking proteins and offers a novel method to examine actin-binding protein activity and their regulation of motility at the single molecule level.     

Potassium stimulated calcium dependent release of immunoreactive somatostatin from incubated rat hypothalamus

S omatostatin (somatotropin release inhibiting factor, SRIF) is present in the median eminence of the hypothalamus in high concentration (K ronheim et al., 1976), is visualized in nerve endings (H ökfelt et al., 1974) and has been found to be concentrated in the synaptosome fraction of hypothalamic homogenates (E pelbaum et al., 1977; B erelowitz et al., 1978), suggesting a true neurosecretory role. To further explore this possibility we have studied the release of immunoreactive SRIF from the incubated rat hypothalamus (B radbury et al., 1974: R otsztein et al., 1977), basally and in response to depolarising concentrations of potassium, and have assessed the calcium dependence of this release.     

Evidence for a halothane-dependent cyclic flux of calcium in rat-liver mitochondria.

The previously reported (Hall et al., Biochem. Soc. Trans. 1973) halothane-dependent, calcium-induced loss of respiratory control in rat liver mitochondria is relatively specific to calcium; the effect of strontium ions is much smaller, and comparable additions of potassium salts have no effect on mitochondrial respiration on succinate in the presence of halothane. The calcium-dependent loss of respiratory control can be prevented, or reversed, respectively, by the prior or subsequent addition of agents that either chelate extramitochondrial Ca2plus or inhibit calcium accumulation, or that inhibit the efflux of accumulatec calcium. These results suggest that the halothane-dependent, calcijm-induced loss of respiratory control is due to a cyclic flux of calcium uptake and release.     

Effect of the calcium buffer EGTA on the "hump" component of charge movement in skeletal muscle.

Three manifestations of excitation-contraction (E-C) coupling were measured in cut skeletal muscle fibers of the frog, voltage clamped in a double Vaseline gap: intramembrane charge movements, myoplasmic Ca2+ transients, and changes in optical transparency. Pulsing patterns in the presence of high [EGTA] intracellularly, shown by García et al. (1989. J. Gen. Physiol. 94:973-986) to deplete Ca2+ in the sarcoplasmic reticulum, were found to change the above manifestations. With an intracellular solution containing 15 mM EGTA and 0 Ca, 10-15 pulses (100 ms) to -20 mV at a frequency of 2 min-1 reduced the "hump" component of charge movement current. This effect was reversible by 5 min of rest. The same effect was obtained in 62.5 mM EGTA and 0 Ca by pulsing at 0.2 min-1. This effect was reversible by adding calcium to the EGTA solution, for a nominal [Ca2+]i of 200 nM, and was prevented by adding calcium to the EGTA solution before pulsing. The suppression of the hump was accompanied by elimination of the optical manifestations of E-C coupling. The current suppressed was found by subtraction and had the following properties: delayed onset, a peak at a variable interval (10-20 ms) into the pulse, a negative phase (inward current) after the peak, and a variable OFF transient that could be multi-phasic and carried less charge than the ON transient. In the previous paper (Csernoch et al., 1991. J. Gen. Physiol. 97:845-884) it was shown that several interventions suppress a similar component of charge movement current, identified with the "hump" or Q gamma current (I gamma). Based on the similarity to that component, the charge movement suppressed by the depletion protocols can also be identified with I gamma. The fact that I gamma is suppressed by Ca2+ depletion and the kinetic properties of the charge suppressed is inconsistent with the existence of separate sets of voltage sensors underlying the two components of charge movement, Q beta and Q gamma. This is explicable if Q gamma is a consequence of calcium release from the sarcoplasmic reticulum.     

Intracellular cyclic AMP not calcium, determines the direction of vesicle movement in melanophores: direct measurement by fluorescence ratio imaging

Intracellular movement of vesiculated pigment granules in angelfish melanophores is regulated by a signalling pathway that triggers kinesin and dyneinlike microtubule motor proteins. We have tested the relative importance of intracellular Ca2+ ([Ca2+]i) vs cAMP ([cAMP]i) in the control of such motility by adrenergic agonists, using fluorescence ratio imaging and many ways to artificially stimulate or suppress signals in these pathways. Fura-2 imaging reported a [Ca2+]i elevation accompanying pigment aggregation, but this increase was not essential since movement was not induced with the calcium ionophore, ionomycin, nor was movement blocked when the increases were suppressed by withdrawal of extracellular Ca2+ or loading of intracellular BAPTA. The phosphatase inhibitor, okadaic acid, blocked aggregation and induced dispersion at concentrations that suggested that the protein phosphatase PP-1 or PP-2A was continuously turning phosphate over during intracellular motility. cAMP was monitored dynamically in single living cells by microinjecting cAMP-dependent kinase in which the catalytic and regulatory subunits were labeled with fluorescein and rhodamine respectively (Adams et al., 1991. Nature (Lond.). 349:694-697). Ratio imaging of F1CRhR showed that the alpha 2-adrenergic receptor-mediated aggregation was accompanied by a dose-dependent decrease in [cAMP]i. The decrease in [cAMP]i was both necessary and sufficient for aggregation, since cAMP analogs or microinjected free catalytic subunit of A kinase-blocked aggregation or caused dispersal, whereas the cAMP antagonist RpcAMPs or the microinjection of the specific kinase inhibitor PKI5-24 amide induced aggregation. Our conclusion that cAMP, not calcium, controls bidirectional microtubule dependent motility in melanophores might be relevant to other instances of non-muscle cell motility.     

Excitation-contraction coupling in intact frog skeletal muscle fibers injected with mmolar concentrations of fura-2.

Experiments were carried out to test the hypothesis that mM concentrations of fura-2, a high-affinity Ca2+ buffer, inhibit the release of Ca2+ from the sarcoplasmic reticulum (SR) of skeletal muscle fibers. Intact twitch fibers from frog muscle, stretched to a long sarcomere length and pressure-injected with fura-2, were activated by an action potential. Fura-2's absorbance and fluorescence signals were measured at different distances from the site of fura-2 injection; thus, the myoplasmic free Ca2+ transient (delta [Ca2+]) and the amount and rate of SR Ca2+ release could be estimated at different myoplasmic concentrations of fura-2 ([fura-2T]). At [fura-2T] = 2-3 mM, the amplitude and half-width of delta [Ca2+] were reduced to approximately 25% of the values measured at [fura-2T] less than 0.15 mM, whereas the amount and rate of SR Ca2+ release were enhanced by approximately 50% (n = 5; 16 degrees C). Similar results were observed in experiments carried out at low temperature (n = 2; 8.5-10.5 degrees C). The finding of an enhanced rate of Ca2+ release at 2-3 mM [fura-2T] is opposite to that reported by Jacquemond et al. (Jacquemond, V., L. Csernoch, M. G. Klein, and M. F. Schneider. 1991. Biophys. J. 60:867-873) from analogous experiments carried out on cut fibers. In two experiments involving the injection of larger amounts of fura-2, reductions in SR Ca2+ release were observed; however, we were unable to decide whether these reductions were due to [fura-2T] or to some nonspecific effect of the injection itself. These experiments do, however, suggest that if large [fura-2T] inhibits SR Ca2+ release in intact fibers, [fura-2T] must exceed 6 mM to produce an effect comparable to that reported by Jacquemond et al. in cut fibers. Our clear experimental result that 2-3 mM [fura-2T] enhances SR Ca2+ release supports the proposal that delta [Ca2+] triggered by an action potential normally feeds back to inhibit further release of Ca2+ from the SR (Baylor, S.M., and S. Hollingworth. 1988. J. Physiol. [Lond.]. 403:151-192). Our results provide no support for the hypothesis that Ca(2+)-induced Ca2+ release plays a significant role in excitation-contraction coupling in amphibian skeletal muscle.     

Modeling of quantal neurotransmitter release kinetics in the presence of fixed and mobile calcium buffers

The local calcium concentration in the active zone of secretion determines the number and kinetics of neurotransmitter quanta released after the arrival of a nerve action potential in chemical synapses. The small size of mammalian neuromuscular junctions does not allow direct measurement of the correlation between calcium influx, the state of endogenous calcium buffers determining the local concentration of calcium and the time course of quanta exocytosis. In this work, we used computer modeling of quanta release kinetics with various levels of calcium influx and in the presence of endogenous calcium buffers with varying mobilities. The results of this modeling revealed the desynchronization of quanta release under low calcium influx in the presence of an endogenous fixed calcium buffer, with a diffusion coefficient much smaller than that of free Ca²⁺, and synchronization occurred upon adding a mobile buffer. This corresponds to changes in secretion time course parameters found experimentally (Samigullin et al., Physiol Res 54:129–132, 2005; Bukharaeva et al., J Neurochem 100:939–949, 2007).     

Bcl-2-regulated calcium signals as common mediators of both apoptosis and autophagy

The calcium ion, a major intracellular second messenger, is a known mediator of apoptosis and is regulated by the antiapoptotic protein Bcl-2. A paper by H?yer-Hasen et al. (2007) in the current issue of Molecular Cell indicates that calcium also mediates the induction of macroautophagy in a Bcl-2 regulated fashion and identifies a signaling pathway through which calcium exerts its action. These intriguing findings provoke speculation as to how a cell decides to undergo either apoptosis or macroautophagy in response to calcium signals.     

A mathematical model of cardiocyte Ca(2+) dynamics with a novel representation of sarcoplasmic reticular Ca(2+) control

Cardiac contraction and relaxation dynamics result from a set of simultaneously interacting Ca(2+) regulatory mechanisms. In this study, cardiocyte Ca(2+) dynamics were modeled using a set of six differential equations that were based on theories, equations, and parameters described in previous studies. Among the unique features of the model was the inclusion of bidirectional modulatory interplay between the sarcoplasmic reticular Ca(2+) release channel (SRRC) and calsequestrin (CSQ) in the SR lumen, where CSQ acted as a dynamic rather than simple Ca(2+) buffer, and acted as a Ca(2+) sensor in the SR lumen as well. The inclusion of this control mechanism was central in overcoming a number of assumptions that would otherwise have to be made about SRRC kinetics, SR Ca(2+) release rates, and SR Ca(2+) release termination when the SR lumen is assumed to act as a simple, buffered Ca(2+) sink. The model was sufficient to reproduce a graded Ca(2+)-induced Ca(2+) release (CICR) response, CICR with high gain, and a system with reasonable stability. As constructed, the model successfully replicated the results of several previously published experiments that dealt with the Ca(2+) dependence of the SRRC (, J. Gen. Physiol. 85:247-289), the refractoriness of the SRRC (, Am. J. Physiol. 270:C148-C159), the SR Ca(2+) load dependence of SR Ca(2+) release (, Am. J. Physiol. 268:C1313-C1329;, J. Biol. Chem. 267:20850-20856), SR Ca(2+) leak (, J. Physiol. (Lond.). 474:463-471;, Biophys. J. 68:2015-2022), SR Ca(2+) load regulation by leak and uptake (, J. Gen. Physiol. 111:491-504), the effect of Ca(2+) trigger duration on SR Ca(2+) release (, Am. J. Physiol. 258:C944-C954), the apparent relationship that exists between sarcoplasmic and sarcoplasmic reticular calcium concentrations (, Biophys. J. 73:1524-1531), and a variety of contraction frequency-dependent alterations in sarcoplasmic [Ca(2+)] dynamics that are normally observed in the laboratory, including rest potentiation, a negative frequency-[Ca(2+)] relationship, and extrasystolic potentiation. Furthermore, under the condition of a simulated Ca(2+) overload, an alternans-like state was produced. In summary, the current model of cardiocyte Ca(2+) dynamics provides an integrated theoretical framework of fundamental cellular Ca(2+) regulatory processes that is sufficient to predict a broad array of observable experimental outcomes.     

Potentiation of fractional sarcoplasmic reticulum calcium release by total and free intra-sarcoplasmic reticulum calcium concentration

Our aim was to measure the influence of sarcoplasmic reticulum (SR) calcium content ([Ca](SRT)) and free SR [Ca] ([Ca](SR)) on the fraction of SR calcium released during voltage clamp steps in isolated rabbit ventricular myocytes. [Ca](SRT), as measured by caffeine application, was progressively increased by conditioning pulses. Sodium was absent in both the intracellular and in the extracellular solutions to block sodium/calcium exchange. Total cytosolic calcium flux during the transient was inferred from I(Ca), [Ca](SRT), [Ca](i), and cellular buffering characteristics. Fluxes via the calcium current (I(Ca)), the SR calcium pump, and passive leak from the SR were evaluated to determine SR calcium release flux (J(rel)). Excitation-contraction (EC) coupling was characterized with respect to both gain (integral J(rel)/integral I(Ca)) and fractional SR calcium release. Both parameters were virtually zero for a small, but measurable [Ca](SRT). Gain and fractional SR calcium release increased steeply and nonlinearly with both [Ca](SRT) and [Ca](SR). We conclude that potentiation of EC coupling can be correlated with both [Ca](SRT) and [Ca](SR). While fractional SR calcium release was not linearly dependent upon [Ca](SR), intra-SR calcium may play a crucial role in regulating the SR calcium release process.     

Mitochondrial and extramitochondrial Ca2+ pools in the perfused rat liver. Mitochondria are not the origin of calcium mobilized by vasopressin

A nondisruptive technique developed by Bellomo et al. (Bellomo, G., Jewell, S. A., Thor, H., and Orrenius, S. (1982) Proc. Natl. Acad. Sci. U.S.A. 79, 6842-6846) has been used to examine the distribution of calcium ions between mitochondrial and extramitochondrial compartments in the perfused rat liver. The amount of calcium released by the uncoupler 2,4-dinitrophenol from the mitochondrial compartment was 19 +/- 2 nmol X g-1, wet weight, which is equivalent to a total calcium concentration of 3.5 X 10(-4) M in the mitochondria and is by several orders of magnitude smaller than the concentration thought to be present in these organelles. The amount of calcium released from the liver in the presence of the divalent cation ionophore A 23187 was 96 +/- 7 nmol X g-1, wet weight, which is of the same order of magnitude as the amount released by the calcium-dependent hormone vasopressin (97 +/- 11 nmol X g-1, wet weight). Experiments with different sequential combinations of hormone with uncoupler or ionophore reveal that in the perfused liver, in contrast to isolated hepatocytes or isolated mitochondria, the amount of calcium attributable to the mitochondria is too small to account for the calcium released during hormonal stimulation. Consequently extramitochondrial calcium stores are the main source of cellular calcium mobilized under this condition. In addition these findings imply that in the liver several mitochondrial enzymes, e.g. alpha-oxoglutarate dehydrogenase, can be effectively regulated by calcium and that the role of mitochondria in buffering the cytosolic free calcium in vivo has to be reconsidered.     

Analysis of calcium-induced calcium release in cardiac sarcoplasmic reticulum vesicles using models derived from single-channel data.

The planar lipid bilayer and vesicle release experiments are two alternative approaches used to study the function of the ryanodine receptor (RyR) channel at the subcellular level. In this work, we combine models of gating (Zahradníková and Zahradník, Biophys. J. 71 (1996) 2996-3012) and permeation (Tinker et al., J. Gen. Physiol. 100 (1992) 495-517) of the cardiac RyR channel to simulate calcium release experiments on sarcoplasmic reticulum vesicles. The resulting model and real experimental data agreed well within the experimental scatter, confirming indistinguishable properties of the RyRC in the vesicle preparation and in the planar lipid bilayer. The previously observed differences in calcium dependencies of the release and the gating processes can be explained by binding of calcium within the RyRC conducting pore. A novel method of analysis of calcium dependence of calcium release was developed and tested. Three gating models of the RyRC, showing, respectively, an increase, no change, and a decrease in calcium sensitivity over time, were compared. The described method of analysis enabled determination of temporal changes in calcium sensitivity, giving potential for detection of the adaptation/inactivation phenomena of the RyRC in both vesicle and in situ release experiments.     

Traveling Waves and Spread Rates for a West Nile Virus Model

A reaction–diffusion model for the spatial spread of West Nile virus is developed and analysed. Infection dynamics are based on a modified version of a model for cross infection between birds and mosquitoes (Wonham et al., 2004, An epidemiological model for West-Nile virus: Invasion analysis and control application. Proc. R. Soc. Lond. B 271), and diffusion terms describe movement of birds and mosquitoes. Working with a simplified version of the model, the cooperative nature of cross-infection dynamics is utilized to prove the existence of traveling waves and to calculate the spatial spread rate of infection. Comparison theorem results are used to show that the spread rate of the simplified model may provide an upper bound for the spread rate of a more realistic and complex version of the model.     

The sarcomere length-tension relation in skeletal muscle

Tension development during isometric tetani in single fibers of frog semitendinosus muscle occurs in three phases: (a) in initial fast-rise phase; (b) a slow-rise phase; and (c) a plateau, which lasts greater than 10 s. The slow-rise phase has previously been assumed to rise out of a progressive increase of sarcomere length dispersion along the fiber (Gordon et al. 1966. J. Physiol. [Lond.]. 184:143--169;184:170-- 192). Consequently, the "true" tetanic tension has been considered to be the one existing before the onset of the slow-rise phase; this is obtained by extrapolating the slowly rising tension back to the start of the tetanus. In the study by Gordon et al. (1966. J. Physiol. [Lond.] 184:170--192), as well as in the present study, the relation between this extrapolated tension and sarcomere length gave the familiar linear descending limb of the length-tension relation. We tested the assumption that the slow rise of tension was due to a progressive increase in sarcomere length dispersion. During the fast rise, the slow rise, and the plateau of tension, the sarcomere length dispersion at any area along the muscle was less than 4% of the average sarcomere length. Therefore, a progressive increase of sarcomere length dispersion during contraction appears unable to account for the slow rise of tetanic tension. A sarcomere length-tension relation was constructed from the levels of tension and sarcomere length measured during the plateau. Tension was independent of sarcomere length between 1.9 and 2.6 microgram, and declined to 50% maximal at 3.4 microgram. This result is difficult to reconcile with the cross-bridge model of force generation.     

The curvature vector in nucleosomal DNAs and theoretical prediction of nucleosome positioning.

Using our model for predicting DNA superstructures from the sequence, the average distribution of the phases of curvature along the sequences of the set of the 177 nucleosomal DNAs investigated by Satchwell et al. (J. Mol. Biol. 191 (1986) 659) was calculated. The diagram obtained shows very significant features which allow the visualization of the intrinsic nucleosomal superstructure characterized by two quasi-parallel tracts of a flat left-handed superhelical turn connected by a left-handed inflection in a perpendicular direction; such a superstructure appears to be closely related to the nucleosome model of Travers and Klug (Phil. Trans. R. Soc. Lond. 317 (1987) 537). The nucleosomal curvature phase diagram was then adopted as a sensitive determinant for the nucleosome virtual positioning in DNAs via correlation function, obtaining a good agreement with the experimental mapping of SV40 regulatory region as recently investigated by Ambrose et al. (J. Mol. Biol. 209 (1989) 255). This analysis shows also the presence of a constant phase relation between the virtual nucleosome positions which suggests its possible implication in the nucleosome condensation in chromatin.     

Cross-signaling between L-type Ca2+ channels and ryanodine receptors in rat ventricular myocytes

Calcium-mediated cross-signaling between the dihydropyridine (DHP) receptor, ryanodine receptor, and Na(+)-Ca2+ exchanger was examined in single rat ventricular myocytes where the diffusion distance of Ca2+ was limited to < 50 nm by dialysis with high concentrations of Ca2+ buffers. Dialysis of the cell with 2 mM Ca(2+)- indicator dye, Fura-2, or 2 mM Fura-2 plus 14 mM EGTA decreased the magnitude of ICa-triggered intracellular Ca2+ transients (Cai-transients) from 500 to 20-100 nM and completely abolished contraction, even though the amount of Ca2+ released from the sarcoplasmic reticulum remained constant (approximately 140 microM). Inactivation kinetics of ICa in highly Ca(2+)-buffered cells was retarded when Ca2+ stores of the sarcoplasmic reticulum (SR) were depleted by caffeine applied 500 ms before activation of ICa, while inactivation was accelerated if caffeine- induced release coincided with the activation of ICa. Quantitative analysis of these data indicate that the rate of inactivation of ICa was linearly related to SR Ca(2+)-release and reduced by > 67% when release was absent. Thapsigargin, abolishing SR release, suppressed the effect of caffeine on the inactivation kinetics of ICa. Caffeine- triggered Ca(2+)-release, in the absence of Ca2+ entry through the Ca2+ channel (using Ba2+ as a charge carrier), caused rapid inactivation of the slowly decaying Ba2+ current. Since Ba2+ does not release Ca2+ but binds to Fura-2, it was possible to calibrate the fluorescence signals in terms of equivalent cation charge. Using this procedure, the amplification factor of ICa-induced Ca2+ release was found to be 17.6 +/- 1.1 (n = 4). The Na(+)-Ca2+ exchange current, activated by caffeine- induced Ca2+ release, was measured consistently in myocytes dialyzed with 0.2 but not with 2 mM Fura-2. Our results quantify Ca2+ signaling in cardiomyocytes and suggest the existence of a Ca2+ microdomain which includes the DHP/ ryanodine receptors complex, but excludes the Na(+)- Ca2+ exchanger. This microdomain appears to be fairly inaccessible to high concentrations of Ca2+ buffers.