Osmotic changes of sarcoplasmic reticulum vesicles during Ca2+ uptake

On the thermodynamic efficiency of Ca²⁺-ATPase molecular machines

Experimental studies have shown that the activity of the reconstituted molecular pump Ca(2+)-ATPase strongly depends on the thickness of the supporting bilayer. It is thus expected that the bilayer structure will have an impact on the thermodynamic efficiency of this nanomachine. Here, we introduce a nonequilibrium-thermodynamics theoretical approach to estimate the thermodynamic efficiency of the Ca(2+)-ATPase from analysis of available experimental data about ATP hydrolysis and Ca(2+) transport. We find that the entropy production, i.e., the heat released to the surroundings under working conditions, is approximately constant for bilayers containing phospholipids with hydrocarbon chains of 18-22 carbon atoms. Our estimates for the heat released during the pump operation agree with results obtained from separate calorimetric experiments on the Ca(2+)-ATPase derived from sarcoplasmic reticulum. We show that the thermodynamic efficiency of the reconstituted Ca(2+)-ATPase reaches a maximum for bilayer thicknesses corresponding to maximum activity. Surprisingly, the estimated thermodynamic efficiency is very low, ∼12%. We discuss the significance of this result as representative of the efficiency of other nanomachines, and we address the influence of the experimental set-up on such a low efficiency. Overall, our approach provides a general route to estimate thermodynamic efficiencies and heat dissipation in experimental studies of nanomachines.

Swelling of sarcoplasmic reticulum in the periphery of muscle fibres after isometric contractions in rat semimembranosus lateralis muscle

The decline in isometric force, swelling of sarcoplasmic reticulum and loss of desmin was measured in semimembranosus lateralis muscle of male Wistar rats immediately after a short series of brief (500 ms) maximal isometric contractions. For the active muscle, the series ended below (protocol A) and just over muscle optimum length (protocol AA). In one protocol, the muscle remained passive and was extended to lengths just over muscle optimum length (protocol P). After all experimental protocols, no loss of desmin was observed and sarcomere appearance was normal. Protocol A produced swelling (87%) of the sarcoplasmic reticulum but no decline in isometric force. Protocol AA produced larger swelling (147%) of the sarcoplasmic reticulum and an isometric force decline (<49%) at short muscle lengths. Swelling of sarcoplasmic reticulum was observed mainly in the periphery of muscle fibres. Protocol P did not result in swelling of the sarcoplasmic reticulum and isometric force decline. It is concluded that swelling of the sarcoplasmic reticulum in the periphery of muscle fibres after brief maximal isometric contractions is associated with muscle force and not muscle length.

Rapid determination of internal volumes of membrane vesicles with electron spin resonance-stopped flow technique

We have developed an electron spin resonance (ESR)-stopped flow technique and employed it for the simple and rapid determination of internal volumes of biomembrane vesicles and liposomes. A vesicle suspension containing a neutral and membrane-permeable spin label, 2,2,6,6-tetramethyl-4-oxopiperidine-1-oxyl (TEMPONE), was mixed in the stopped-flow apparatus with an isotonic solution of relatively impermeable line broadening agents, potassium tris(oxalato)chromate(III) or potassium ferricyanide, and an ESR spectrum was recorded. From the relative intensity of the sharp triplet signal due to TEMPONE in the aqueous space within vesicles, the determination of the internal aqueous volume was straightforward. Using this technique, it is possible to measure intravesicular volumes in 0.1 s. The internal volume of sonicated phospholipid vesicles was approximately 0.3 microliter/mg lipid. The light fraction of sarcoplasmic reticulum membrane vesicles isolated from rabbit skeletal muscle was estimated to have an internal volume of 2.2-2.6 microliter/mg protein in its resting state. Activation of Ca2+ pumps in the membrane upon addition of ATP and Ca2+ ions decreased the internal volume by about 10%. This finding supports the hypothesis that the Ca2+ pump is electrogenic and that the efflux of potassium ions compensates for the influx of positive charges. The present technique is widely applicable to the simple and rapid determination of the internal volumes of membrane vesicles.

Effects of Mg2+ on calcium accumulation by two fractions of sarcoplasmic reticulum from rabbit skeletal muscle

Calcium accumulation by two fractions of sarcoplasmic reticulum presumably derived from longitudinal tubules (light vesicles) and terminal cisternae (heavy vesicles) was examined radiochemically in the presence of various free Mg2+ concentrations. Both fractions of sarcoplasmic reticulum exhibited a Mg2+-dependent increase in phosphate-supported calcium uptake velocity, though half-maximal velocity in heavy vesicles occurred at a much higher free Mg2+ concentration than that in light vesicles (i.e., approx. 0.90 mM vs. approx. 0.02 mM Mg2+). Calcium uptake velocity in light vesicles correlated with Ca2+-dependent ATPase activity, suggesting that Mg2+ stimulated the calcium pump. Calcium uptake velocity in heavy vesicles did not correlate with Ca2+-dependent ATPase activity, although a Mg2+-dependent increase in calcium influx was observed. Thus, Mg2+ may increase the coupling of ATP hydrolysis to calcium transport in heavy vesicles. Analyses of calcium sequestration (in the absence of phosphate) showed a similar trend in that elevation of Mg2+ from 0.07 to 5 mM stimulated calcium sequestration in heavy vesicles much more than in light vesicles. This difference between the two fractions of sarcoplasmic reticulum was not explained by phosphoenzyme (EP) level or distribution. Analyses of calcium uptake, Ca2+-dependent ATPase activity, and unidirectional calcium flux in the presence of approx. 0.4 mM Mg2+ suggested that ruthenium red (0.5 microM) can also increase the coupling of ATP hydrolysis to calcium transport in heavy vesicles, with no effect in light vesicles. These functional differences between light and heavy vesicles suggest that calcium transport in terminal cisternae is regulated differently from that in longitudinal tubules.