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The raw signals R1 [µA] of the oxygen sensors (POS) are expected to be independent of the volume of the aqueous phase in equilibrium with the gas phase of air in the 'open' chamber, as confirmed in Supplementary Table 2. In the closed chamber, however, the instrumental background O2 flux near air saturation J°1 [pmol∙s-1∙mL-1] depends on the volume V (Supplementary Table 2). The O2 consumption of the sensor [pmol∙s-1] can be predicted from the electron flow measured as the zero-corrected raw signal R1-R0 [µA], the charge number 4 e-/O2 and the Faraday constant F = 96 485.33 C∙mol-1. 1 µA is equivalent to an electron flow (e-) of 10.36 pmol∙s-1. Dividing by the charge number results in an O2 flow15,39 of 2.591 pmol∙s-1·µA-1. The recorded median of R1-R0 was 2.09 µA and 1.98 µA in the 0.5-mL and 2.0-mL chambers, respectively (Supplementary Table 2; R0 = 0.006 ± 0.007 µA in the sV and R0 = 0.004 ± 0.003 µA in the cV chambers), corresponding theoretically to O2 consumption rates of 5.41 pmol∙s-1and 5.13 pmol∙s-1. The O2 flow of the sensor is converted to the expected volume-specific flux at air saturation (J°R1) as 5.41 pmol∙s-1/0.5 mL = 10.82 pmol∙s-1∙mL-1 and 5.13 pmol∙s-1/2.0 mL = 2.56 pmol∙s-1∙mL-1 in the sV and cV chamber, respectively. With the same type of polarographic oxygen sensors in the 2.0-mL and 0.5-mL chamber, the volume-specific background O2 flux - calculated from the current R1-R0 (J°R1) - increases theoretically 4-fold in inverse proportion to the chamber volume. J°air (at air saturation, where back diffusion is zero; compare Table 2 and Supplementary Table 3) was calculated for the O2 concentration at air saturation from the linear regression of the experimental background test (Figure 3). J°air approached the theoretically expected values J°R1 for both chambers (Table 2). The J°air / J°R1 ratio was 0.85 ± 0.04 and 0.92 ± 0.12 in the sV and cV chamber, respectively, in line with an independent series of 52 measurements in the 2.0-mL chamber, in which this ratio was 0.95 ± 0.12 (Supplementary Table 4). J°air was 3.9 times higher in the 0.5-mL than in the 2.0-mL chamber. The net O2 back diffusion J°50, calculated at 50 µM O2 from the linear regression of the experimental background test, was only three times higher in the 0.5-mL chamber (Table 2). The variability of instrumental background O2 fluxes was nearly identical in the two different chamber volumes, with standard deviation (SD) of 0.5 and 0.3 pmol∙s-1∙mL-1 for J°air and 0.9 and 0.8 pmol∙s-1∙mL-1 for J°50 in the sV and cV chamber, respectively (Table 2). Despite the higher instrumental background O2 slopes in the 0.5-mL chamber, the dependence of background O2 fluxes on cO2 was highly reproducible in both chamber types (Figure 3D). This results in low values of the residuals <±1 pmol∙s-1∙mL-1for both chambers (Supplementary Table 5), in line with the limit of detection of the Oroboros28.
We quantified the effect of stirring speed on the calibration raw signal R1 of the POS between 350 rpm (5.8 Hz) and 950 rpm (15.8 Hz) in steps of 100 rpm (1.7 Hz) with the chamber in the 'open' configuration. In this configuration, the O2 dissolved in the medium is in equilibrium with the gas phase; therefore, changes in the raw signal (microampere [µA]) as a function of stirring speed do not reflect true differences in cO2. The oxygen sensors responded to a change in stirring speed with a small deviation from R1 at the default speed of 750 rpm, independent of chamber volume (Figure 4). In the 'open' configuration, the noise of the O2 slope, defined as SD for each step after stabilization of the signal, was lowest at 850 rpm in both chamber types and increased when the stirring speed deviated from this value in either direction (Figure 5A). Below 550 rpm, the noise of the O2 slope exceeded the threshold of ±4 pmol∙s-1∙mL-1, defining the minimum practical stirring speed. Due to technical limitations, the upper boundary was not reached, rendering 950 rpm as the maximum practical stirring speed (Figure 5A). Within this range, the deviation of the O2 signal from R1 was <2.5 %. Closing the chambers did not alter the relationship between noise and stirring speed (Figure 5B). The exponential time constant τ, was 2.53 ± 0.05 s at 550 rpm and 2.50 ± 0.05 s at 750 rpm for the 0.5-mL chamber (Supplementary Figure 3).
The SUIT-003_D018 protocol applied to platelets includes up to 14 titration steps. It is designed to study the coupling control of living cells, ce, and plasma membrane permeability as an index of cell viability32. Oxygen flow measured in the two types of chambers (Figure 6) was tightly matched in all respiratory states (Figure 7). Intermittent reoxygenations are required to avoid functional hypoxia or restrict the experimental O2 concentration to a defined range. Reoxygenations were performed by opening the chamber to the 'open' position after titration of Rot. Upon closing the chamber, O2 flux stabilized within 4 min in the 2.0-mL chamber, but approximately 10 min was required in the 0.5-mL chamber before stabilization and setting the new mark (Figure 6 and Supplementary Figure 4). Reoxygenation in the rox state when O2 fluxes are low avoids a decline of O2 concentration during the time required for stabilization. Rotenone-inhibited rox was 0.9 ± 0.6 and 2.0 ± 0.6 pmol∙s-1∙mL-1 at 98 ± 17 and 94 ± 17 µM O2 (mean ± SD) in the sV and cV chamber, respectively. Rox increased by 3.1 ± 0.9 and 0.9 ± 0.4 pmol∙s-1∙mL-1 upon reoxygenation to 159 ± 8 and 147 ± 11 µM O2 in the sV and cV chamber, respectively. The oxygen dependence of rox observed in platelets agrees with results on human fibroblasts and umbilical vein endothelial cells40.
For OXPHOS analysis in permeabilized fibroblasts, we used two SUIT protocols with up to 17 and 20 titration steps (SUIT-001 and SUIT-002, respectively35; Figure 8); thus, the titration volume correction is particularly important since at the end of SUIT-002, the dilution amounted to maximally 14 % and 10.5 % in the sV and cV chamber, respectively. Fibroblast cell counts of 0.35·106 x and 1.44·106 x in the 0.5-mL and 2.0-mL chambers, respectively, resulted in the same cell concentration of 0.75·106 x∙mL-1. The combination of SUIT-001 and SUIT-002 addressed 20 respiratory states, all of which correlated closely in the two-chamber types (r2= 0.950 for SUIT-001 and r2= 0.959 for SUIT-002). In both protocols, Complex IV had a relatively high scatter (Figure 9). Reoxygenation was not required in SUIT-001 starting at a low volume-specific O2 flux of 18.7 ± 7.0 pmol∙s-1∙mL-1 in the routine state (mean ± SD), allowing O2 concentration to decline to 56 µM up to the CIV-linked section of the protocol (Figure 8A; 8Ama). However, in SUIT-002, reoxygenation was performed before uncoupler titrations, increasing the O2 concentration from 100 µM to 180 µM (Figure 8B; 6Gp). Considering the long time required for the stabilization of flux after reoxygenation, reoxygenation during uncoupler titrations should be avoided.
A shortened SUIT protocol was applied to isolated mitochondria (Figure 10). Mitochondrial protein concentration was determined after the respirometric assay, making it impossible to define in advance the accurate sample concentration in the chamber. Volume-specific respiratory flux varies as a function of mitochondrial concentration. Therefore, data were presented as volume-specific and protein mass-specific flux (Figure 11). Both representations display the tight correlation between measurements obtained in the 0.5-mL and 2.0-mL chambers (Figure 11).
Residual oxygen consumption rox measured after inhibition of Complex III by antimycin A can be used as an index of instrumental performance at very low respiratory rates. In all experimental series, rox was comparable between the 0.5-mL and the 2.0-mL chambers (platelets: t(5) = -0.34, p = 0.74; fibroblast: SUIT-001: t(10) = 20.00, p = 0.06; SUIT-002: t(10) = 11.00, p = 0.96; isolated mitochondria: t(4) = -1.18, p = 0.27). The scatter of the data corresponded largely to the instrumental uncertainty of ±1 pmol∙s-1∙mL-1 13,28, as illustrated in Figure 12. The original files are available for open access at Zenodo repository: 10.5281/zenodo.11634408.

Figure 3: Instrumental background O2 flux for the sV (0.5 mL; green and black) and cV chamber (2.0 mL; blue). O2 concentration range from air saturation (ca. 180 μM) to ca. 50 µM. Open symbols: O2 concentrations obtained without Na-dithionite. Solid symbols: O2 concentrations controlled by manual titrations of Na-dithionite. Black circles: O2 concentrations controlled by titrations of Na-dithionite using the TIP2k in the 0.5-mL chamber (N = 8). Results from instrumental background tests were pooled from (A) Series 1 (sV: N = 2; cV: N = 2) before using living cells (ce); (B) Series 2 (sV: N = 38; cV: N = 50) before using permeabilized cells (pce); (C) Series 3 (sV: N = 10; cV: N = 10) before using isolated mitochondria (imt). (D) Superimposed data from panels A-C. Please click here to view a larger version of this figure.

Figure 4: Effect of stirring rotation speed on the POS signal at air saturation ('open' chamber) in the 0.5-mL chamber (green) and 2.0-mL chamber (blue). Response [%] relative to R0-corrected air calibration signals R1-R0 [µA] at 750 rpm (sV: N = 4; cV: N = 4). Please click here to view a larger version of this figure.

Figure 5: Noise of the O2 slope as a function of stirring rotation speed. Noise expressed as the standard deviation in (A) 'open' chamber; (B) closed chamber (0.5 mL, green; 2.0 mL, blue). Please click here to view a larger version of this figure.

Figure 6: O2 consumption of cryopreserved human platelets in the 0.5-mL chamber. Representative traces of O2 concentration [µM] (blue lines) and O2 flow per cell [amol∙s-1∙x-1] calculated as O2 flux [pmol∙s-1∙mL-1] divided by cell concentration of 157∙106 x∙mL-1 (red lines, corrected for instrumental background O2 flux; spikes caused by titrations were eliminated). O2 concentration was kept above 50 µM by intermittent reoxygenations (air, 'open' chamber, blue shade). Sequence of respiratory states (titrations and rates; protocol SUIT-003_D018): ce1, routine respiration R of living cells. ce1P, pyruvate 5 mM as external substrate. ce2Omy10 (panel A), Omy titrations in 5 nM steps; leak respiration L. ce3U0.3 (panel A) and ce3U0.1 (panel B), uncoupler titrations to optimum CCCP concentration of 0.3 and 0.1 µM, respectively; ET capacity E. ce3Glc, glucose 11 mM; E progressively inhibited by uncoupler. ce4Rot, rotenone 0.5 µM inhibiting CI; residual oxygen consumption rox. ce5S, succinate 10 mM; stimulating E in plasma membrane-permeable cells. 1Dig15 (panel A) and 1Dig10 (panel B), digitonin titrations in 5 µg·mL-1steps to optimum concentrations of 15 and 10 µg·mL-1, respectively for complete plasma membrane permeabilization; succinate-pathway ET capacity SE. 1c, cytochrome c 10 µM; test of mitochondrial outer membrane integrity. 2Ama, antimycin A 2.5 µM inhibiting CIII; rox. Please click here to view a larger version of this figure.

Figure 7: Correlation of respiration of cryopreserved human platelets measured in the 0.5-mL and 2.0-mL chamber. Rox-corrected O2 flow was assessed in protocol SUIT-003_D018 (Figure 6); N = 6. (A) With oligomycin Omy; (B) without Omy. Mean slopes
and intercepts
of inverted least squares regression and coefficients of determination r2 calculated from all data. Dashed black lines represent the lines of identity. Red lines represent the calculated regression lines. O2 flows in the state after the addition of glucose were excluded (see Figure 6). The protocols with and without oligomycin are separated in panels A and B to avoid overlap of data points. Please click here to view a larger version of this figure.

Figure 8: O2 consumption of fibroblasts in the 0.5-mL chamber. Representative traces of cO2 (blue lines [μM]) and O2 flow per cell calculated as O2 flux [pmol∙s-1∙mL-1] divided by cell concentration (0.75·106 x∙mL-1), corrected for instrumental background O2 flux (red lines, spikes caused by titrations were eliminated). O2 concentration was kept above 50 μM by intermittent reoxygenations (air, ‘open’ chamber, blue shade). Sequence of respiratory states (titrations and rates). (A) Protocol SUIT-001_D004: ce1, routine respiration R. +Dig, digitonin 10 μg·mL-1 (ce to pce), residual endogenous respiration ren. 1PM, pyruvate 5 mM & malate 2 mM; N-pathway leak respiration NL. 2D, ADP 2.5 mM; N-pathway OXPHOS capacity NP. 2c, cytochrome c 10 μM; test of mitochondrial outer membrane integrity. 3U1.5, uncoupler titrations to optimum CCCP concentration 1.5 μM; NADH-linked ET capacity NE. 4G, glutamate 10 mM; N(PGM)E. 5S, succinate 10 mM; NS-pathway ET capacity NSE. 6Rot, rotenone 0.5 μM; succinate-pathway ET capacity SE. 7Gp, glycerophosphate 10 mM; SGpE. 8Ama, antimycin A 2.5 μM; rox. 9AsTm, ascorbate 2 mM & TMPD 0.5 mM; substrates for CIV stimulation; the chamber was kept open for 20 min to allow for redox equilibration without depletion of oxygen4; O2 flux off scale after closing the chamber (205 amol·s-1·x-1). 10Azd, azide 100 mM; oxygen-dependent chemical background flux chb. (B) Protocol SUIT-002_D007: ce1, R. +Dig, ren. +D, stimulating ren. +M.1, malate 0.1 mM and 1Oct, octanoylcarnitine 0.5 mM; F-pathway OXPHOS capacity FP = J(1Oct)-J(+M.1). 1c. 2M2, malate 2 mM supporting the anaplerotic N-pathway; F(N)P. 3P and 4G, progressive activation to FNP. 5S, FNSP. 6Gp, FNSGpP. 7U1.5, FNSGpE. 8Rot, SGpE. 9Ama, rox. 10AsTm O2 flux off scale 207 amol·s-1·x-1. 11Azd, chb. In general, Complex IV activity is the difference of rates, J(AsTm)-J(Azd) at closely matched O2 concentrations. See Figure 6 for further details. Please click here to view a larger version of this figure.

Figure 9: Correlation of respiration of permeabilized fibroblasts in the 0.5-mL and 2.0-mL chamber. Rox-corrected O2 flow in (A) SUIT-001_D004 and (B) SUIT-002_D007 (N = 6). Mean slope
and intercept
of inverted least squares regression and coefficient of determination r2 calculated from all data. The dashed black line represents the line of identity. Red lines represent the calculated regression lines. Please click here to view a larger version of this figure.

Figure 10: O2 consumption of isolated mouse heart mitochondria in 0.5-mL (green) and 2.0-mL (blue) chambers. Representative traces of (A) mass-specific O2 flux at mitochondrial protein concentration 0.023 mg∙mL-1 (corrected for instrumental background O2 flux, spikes caused by titrations were eliminated) and (B) O2 concentration [μM]. Sequence of respiratory states (titrations and rates) following the protocol SUIT-002_D005: imt, residual endogenous respiration ren. +D, ADP 2.5 mM; stimulating ren. +M.1, malate 0.1 mM and 1Oct, octanoylcarnitine 0.5 mM; F-pathway OXPHOS capacity FP = J(1Oct)-J(+M.1). 1c, cytochrome c 10 μM; test of mitochondrial outer membrane integrity. 2M2, high malate 2 mM supporting the anaplerotic N-pathway; F(N)P. 3P, pyruvate 5 mM; FNP. 4G, glutamate 10 mM; FNP. 5S, succinate 10 mM; FNSP. 6Gp, glycerophosphate 10 mM; FNSGpP. 7U0.5, uncoupler titrations to optimum CCCP concentration 0.5 μM; FNSGpE. 8Rot, rotenone 0.5 μM inhibiting CI; SGpE. 9Ama, antimycin A 2.5 μM inhibiting CIII; residual oxygen consumption rox. Please click here to view a larger version of this figure.

Figure 11: Correlation of respiration of isolated mouse cardiac mitochondria measured in the 0.5-mL and 2.0-mL chambers. O2 flux in the protocol shown in Figure 10 (N = 4). (A) Volume-specific O2 flux. (B) Rox-corrected O2 flux divided by mitochondrial protein concentration (0.013 - 0.026 mg∙mL-1). Mean slope
and intercept
of inverted least squares regression and coefficient of determination r2 calculated from all data. Dashed black lines represent the line of identity. Red lines represent the calculated regression line. Please click here to view a larger version of this figure.

Figure 12: Residual oxygen consumption rox in the 0.5-mL and 2.0-mL chambers. Flux per volume measured after the addition of antimycin A, combined from experiments with living cells (ce, squares), permeabilized cells (pce, circles), and isolated mitochondria (imt, triangles). Mean slope
and intercept
of inverted least squares regression. Dashed line: line of identity. Red line: calculated regression line. Shadow: instrumental resolution range. Please click here to view a larger version of this figure.
| Module | sV | cV |
| Experimental chamber volume V | 0.5 mL | 2.0 mL |
| Inner diameter of glass cylinder | 12.0 mm | 16.0 mm |
| Outer diameter of glass cylinder | 24.0 mm | 24.0 mm |
| Thickness of glass wall | 6.0 mm | 4.0 mm |
| PVDF-coated stirrer bar | 11.5 x 6.2 mm | 15.0 x 6.0 mm |
| Stopper capillary diameter | 1.00 mm | 1.30 mm |
| Stopper capillary cross-sectional area | 0.79 mm2 | 1.33 mm2 |
| Stopper capillary length | 50.64 mm | 48.86 mm |
| Stopper capillary volume | 39.8 µL | 64.9 µL |
| Stopper capillary dead volume Vstc including a small dropa | 0.04 mL | 0.07 mL |
| Volume V´ for volume calibration | 0.54 mL | 2.07 mL |
aThe drop should correspond to 5 µL for the Chamber cV and close to 0 µL for the Chamber sV.
Table 1: Dimensions of the small volume (sV) and classic volume (cV) modules with polyether ether ketone (PEEK) stoppers.
| J°air / [pmol∙s-1∙mL-1] | J°50 / [pmol∙s-1∙mL-1] |
| Experimental chamber volume V | 0.5 mL | 2.0 mL | 0.5 mL | 2.0 mL |
| Mean | 9.22 | 2.37 | -3.17 | -1.17 |
| Median | 9.25 | 2.36 | -3.08 | -1.04 |
| Standard deviation | 0.49 | 0.34 | 0.93 | 0.83 |
| Minimum | 8.20 | 1.79 | -5.11 | -3.72 |
| Maximum | 10.41 | 3.42 | -0.82 | 0.67 |
Table 2: J°air extrapolated to air saturation and J°50 calculated at 50 μM O2 concentration. Pooled data of instrumental background tests in Series 2 (pce) and 3 (imt) and before TIP2k titrations (0.5 mL: N = 48; TIP2k: N = 8; 2.0 mL: N = 60).
Supplementary File 1: Sample preparations. Human platelets, human fibroblast, and mitochondria isolated from mouse hearts. Please click here to download this File.
Supplementary Figure 1: Instrumental O2 background test using the TIP2k. Representative traces of the test performed using the TIP2k to titrate Na-dithionite (2.5 mM) in the 0.5-mL chamber. Medium: MiR05, temperature: 37 °C, stirring speed: 750 rpm. Spikes caused by titrations were eliminated. Please click here to download this File.
Supplementary Figure 2: Instrumental background O2 flux J°1 as a function of O2 concentration. Chamber sV (0.5 mL; green, N = 48) and Chamber cV (2.0 mL; blue, N = 60) in Series 2 (pce, circles) and 3 (imt, triangles), and before TIP2k titrations in the 0.5-mL chamber (black circles, N = 8). Red lines: median ± SD. Please click here to download this File.
Supplementary Figure 3: Exponential time constant τ as a function of stirring rotation speed. Individual τ values for the 0.5-mL chamber at 37 °C (N = 2). In the 0.5-mL chamber τ was 2.53 ± 0.05 s at 550 rpm, 2.50 ± 0.05 s at 750 rpm, and 2.47 ± 0.04 s at 850 rpm. Please click here to download this File.
Supplementary Figure 4: O2 consumption of cryopreserved human platelets in the 2.0-mL chamber. Representative trace of the protocol SUIT-003_D018, including oligomycin titrations (Omy). Flux [pmol∙s-1∙mL-1] was corrected for instrumental background O2 flux and divided by cell concentration (164∙106 x∙mL-1). Spikes caused by titrations were eliminated. cO2 was kept above 60 µM by intermittent reoxygenations (air, ‘open’ chamber, blue shade). Sequence of respiratory states (titrations and rates): ce1, routine respiration R of living cells. ce1P, pyruvate as external substrate. ce2Omy10, Omy titrations in 5 nM steps; leak respiration L. ce3U2.0, uncoupler titrations to optimum concentrations of 2 µM; ET capacity E. ce3Glc, glucose 11 mM; E progressively inhibited by uncoupler. ce4Rot, rotenone 0.5 µM inhibiting CI; residual oxygen consumption rox. ce5S, succinate 10 mM; stimulating E in plasma membrane-permeable cells. 1Dig20, digitonin titrations to optimum concentrations of 20 µg·mL-1, for complete plasma membrane permeabilization; succinate-pathway ET capacity SE. 1c, cytochrome c 10 µM; test of mitochondrial outer membrane integrity. 2Ama, antimycin A 2.5 µM inhibiting CIII; rox. Please click here to download this File.
Supplementary Table 1: Chemicals used in the substrate-inhibitor-uncoupler-titration (SUIT) protocols. Abbreviations and stock solution concentrations for the sV and cV chambers. Please click here to download this File.
Supplementary Table 2: Comparison of R1-R0 and J°1 in the 0.5-mL and 2.0-mL chambers. Pooled data of instrumental background tests in Series 2 (pce) and 3 (imt) and before TIP2k titrations (0.5 mL: N = 48; TIP2k: N = 8; 2.0 mL: N = 60). Data were averaged from experimental Series 2 (pce) and 3 (imt) only, which were performed at an average barometric pressure of 94.9 kPa (Innsbruck, Austria), excluding data from Series 1 (ce) obtained at sea level. The same type but different individual POS were used in the 0.5-mL and 2.0-mL chambers. Therefore, the variability between sensors must be considered when comparing the sV and cV chambers. While J°1 = 2.26 ± 0.41 pmol∙s-1∙mL-1 obtained experimentally for the 2.0-mL chamber corresponded closely to the calculated value, the experimental J°1 = 8.48 ± 0.53 pmol∙s-1∙mL-1 for the 0.5-mL chamber was lower than expected. This was explained by the following observations. After closing the chamber, the higher background O2 flux in the 0.5-mL chamber lowers the O2 concentrations at the marks for J°1 set at comparable time intervals (Figure 1). Oxygen concentration at J°1 was on average 4.06 % and 1.72 % below air saturation in the 0.5-mL and 2.0-mL chamber, respectively (Supplementary Figure 2, Supplementary Table 2). At lower cO2, the diminished O2 consumption by the sensor and some O2 back diffusion reduce the experimentally determined J°1. Please click here to download this File.
Supplementary Table 3: Oxygen concentration [µM] at which calibration (R1) and J°1 were obtained and their % difference. Pooled data of instrumental background tests in Series 2 (pce) and 3 (imt) and before TIP2k titrations (0.5 mL: N = 48; TIP2k: N = 8; 2.0 mL: N = 60). Please click here to download this File.
Supplementary Table 4: Measured and expected J°1 in the 2.0-mL chamber. Independent series of instrumental background tests with O2k series A (with titanium stoppers13), V = 2.0 mL (37 °C, NaCl solution with O2 solubility factor 0.92; N = 52). nO2/Qe = 106/(96485.33·4) = 2.591 pmol∙µC-1 = 2.591 pmol∙s-1∙µA-1. Based on the assumption that O2 back diffusion is negligible at cO2,1, which is true only at cO2,1 ~ cO2*. Please click here to download this File.
Supplementary Table 5: Linear regression residuals (absolute values [pmol O2∙s-1∙mL-1]) calculated for each instrumental O2 background test. Pooled data of instrumental background tests in Series 2 (pce) and 3 (imt) and before TIP2k titrations. Please click here to download this File.