A model study of intracellular oxygen gradients in a myoglobin-containing skeletal muscle fiber.

A theoretical two-dimensional model is used to investigate oxygen gradients in a red skeletal muscle fiber. The model describes the steady state, free and myoglobin-facilitated diffusion of oxygen into a respiring cylindrical muscle fiber cross section. The oxygen tension at the sarcolemma is assumed to vary along the sarcolemma as an approximation to the discrete capillary oxygen supply around the fiber. Maximal oxygen gradients are studied by considering parameters relevant to a maximally-respiring red muscle fiber. The model predicts that angular variations in the oxygen tension imposed at the sarcolemma due to the discrete capillary sources do not penetrate deeply into the fiber over a range of physiological values for myoglobin concentration, diffusion coefficients, number of surrounding capillaries, and oxygen tension level at the sarcolemma. Also, the oxygen tension in the core of the fiber is determined by the average oxygen tension at the sarcolemma. The drop in oxygen tension from fiber periphery to core, however, does depend significantly on the myoglobin concentration, the oxygen tension level at the sarcolemma, and the oxygen and myoglobin diffusivities. This dependence is summarized by calculating the minimum average sarcolemmal oxygen tension for maximal respiration without the development of an intracellular anoxic region. For a myoglobin-rich muscle fiber (0.5 mM myoglobin), the model predicts that maximal oxygen consumption can proceed with a relatively flat (less than 5 mm Hg) oxygen tension drop from fiber periphery to core over a large range for diffusion coefficients.     

Oxygen pressure gradients in isolated cardiac myocytes

Intracellular oxygen pressure within intact isolated cardiac myocytes is studied as a function of steady state extracellular oxygen pressure. The fractional saturation of myoglobin with oxygen is used to report sarcoplasmic oxygen pressure. The fractional oxidation of cytochrome oxidase, the fractional oxidation of cytochrome c, the rate of respiratory oxygen uptake, and lactate accumulation are used to reflect the availability of oxygen at the inner mitochondrial membrane. These probes of mitochondrial function show no large change with decreasing extracellular oxygen pressure until that pressure is less than 2 torr and intracellular myoglobin is largely deoxygenated. Sarcoplasmic oxygen pressure in resting cells is nearly the same as extracellular oxygen pressure and is about 2 torr less in cells whose respiration has been increased 3.5-fold by mitochondrial uncoupling. Oxygen pressure at the mitochondrial inner membrane differs from sarcoplasmic oxygen pressure by no more than 0.2 torr and from extracellular oxygen pressure by no more than 2 torr. We conclude that differences of oxygen pressure within the cardiac myocyte are very small. This implies that most of the large, about 20 torr, difference in oxygen pressure between capillary lumen and mitochondria of the working heart must be extracellular. We conclude also that mitochondria of the cardiac myocyte become oxygen limited only when sarcoplasmic myoglobin is almost entirely deoxygenated.     

Effects of Fiber Type and Size on the Heterogeneity of Oxygen Distribution in Exercising Skeletal Muscle

The process of oxygen delivery from capillary to muscle fiber is essential for a tissue with variable oxygen demand, such as skeletal muscle. Oxygen distribution in exercising skeletal muscle is regulated by convective oxygen transport in the blood vessels, oxygen diffusion and consumption in the tissue. Spatial heterogeneities in oxygen supply, such as microvascular architecture and hemodynamic variables, had been observed experimentally and their marked effects on oxygen exchange had been confirmed using mathematical models. In this study, we investigate the effects of heterogeneities in oxygen demand on tissue oxygenation distribution using a multiscale oxygen transport model. Muscles are composed of different ratios of the various fiber types. Each fiber type has characteristic values of several parameters, including fiber size, oxygen consumption, myoglobin concentration, and oxygen diffusivity. Using experimentally measured parameters for different fiber types and applying them to the rat extensor digitorum longus muscle, we evaluated the effects of heterogeneous fiber size and fiber type properties on the oxygen distribution profile. Our simulation results suggest a marked increase in spatial heterogeneity of oxygen due to fiber size distribution in a mixed muscle. Our simulations also suggest that the combined effects of fiber type properties, except size, do not contribute significantly to the tissue oxygen spatial heterogeneity. However, the incorporation of the difference in oxygen consumption rates of different fiber types alone causes higher oxygen heterogeneity compared to control cases with uniform fiber properties. In contrast, incorporating variation in other fiber type-specific properties, such as myoglobin concentration, causes little change in spatial tissue oxygenation profiles.     

A computational study of the effect of vasomotion on oxygen transport from capillary networks

The objective of this study was to investigate the effect of arteriolar vasomotion on oxygen transport from capillary networks. A computational model was used to calculate blood flow and oxygen transport from a simulated network of striated muscle capillaries. For varying tissue oxygen consumption rates, the importance of the frequency and amplitude of vasomotion-induced blood flow oscillations was studied. The effect of myoglobin on oxygen delivery during vasomotion was also examined. In the absence of myoglobin, it was found that when consumption is high enough to produce regions of hypoxia under steady flow conditions, vasomotion-induced flow oscillations can significantly increase tissue oxygenation and decrease oxygen transport heterogeneity. The largest effect was seen for low-frequency, high-amplitude oscillations (1.5-3 cycles min(-1), 90% of steady-state velocity). By contrast, at physiological tissue myoglobin concentrations, vasomotion did not improve tissue oxygenation. This unexpected finding is due to the buffering effect of myoglobin, suggesting that in highly aerobic muscles short-term storage of oxygen is more important than the possibility of increasing transport through vasomotion.     

The effect of myoglobin-facilitated oxygen transport on the basal metabolism of papillary muscle.

A mathematical model of oxygen diffusion into cylindrical papillary muscles is presented. The model partitions total oxygen flux into its simple and myoglobin-facilitated components. The model includes variable sigmoidal, exponential, or hyperbolic functions relating oxygen partial pressure to both fractional myoglobin saturation and rate of oxygen consumption. The behavior of the model was explored for a variety of saturation- and consumption-concentration relations. Facilitation of oxygen transport by myoglobin was considerable as indexed both by the elevation of oxygen partial pressure on the longitudinal axis of the muscle and by the fraction of total oxygen flux at the muscle center contributed by oxymyoglobin. Despite its facilitation of oxygen flux at the muscle center, myoglobin made only a negligible contribution to the total oxygen consumption averaged over the muscle cross-section. Hence the presence of myoglobin fails to explain either the experimentally determined basal metabolism-muscle radius relation or the stretch effect observed in isolated papillary muscle.     

On optima: the case of myoglobin-facilitated oxygen diffusion

The process of myoglobin/leghemoglobin-facilitated oxygen diffusion is adapted to function in different environments in diverse organisms. We enquire how the functional parameters of the process are optimized in particular organisms. The ligand-binding properties of the proteins, myoglobin and plant symbiotic hemoglobins, we discover, suggest that they have been adapted under genetic selection pressure for optimal performance. Since carrier-mediated oxygen transport has probably evolved independantly many times, adaptation of diverse proteins for a common functionality exemplifies the process of convergent evolution. The progenitor proteins may be built on the myoglobin scaffold or may be very different.     

Effect of temperature on the myoglobin-facilitated transport of oxygen in skeletal muscle.

An analysis of thermal effects on the facilitative transport of oxygen in skeletal muscle fibers is presented. Steady-state mass and energy transport balances are written and solved analytically or numerically using a finite-difference procedure. It is shown that no significant spatial thermal gradients exist due to internal reactions or bulk conduction effects across a muscle fiber. At typical muscle conditions, it is predicted that increased global temperature reduces the fraction of oxygenated myoglobin, increases local oxygen concentrations, and increases the percentage of oxygen flux attributed to oxy-myoglobin. The maximum supportable oxygen consumption rate, mO2max, is defined as the highest consumption rate sustainable without developing anoxic regions at the center of the fiber. By considering only temperature sensitive effects within fibers, mO2max is found to increase slightly with temperature at low temperatures. This increase is due to thermal effects on the diffusion coefficients as opposed to effects associated with the kinetics of the myoglobin-oxygen reaction. If the simulations include the temperature effect associated with oxygen solubility in blood plasma, mO2max decreases with temperature. A sensitivity analysis was performed by varying the values of relevant parameters. The maximum consumption rate was least affected by parameters associated with the kinetic and equilibrium constants and most affected by the diffusion coefficients and the concentration of myoglobin.     

Ca2+-induced Ca2+ release from fragmented sarcoplasmic reticulum: a comparison with skinned muscle fiber studies

Uptake and release of Ca2+ in heavy and light fractions of fragmented sarcoplasmic reticulum (FSR) isolated from frog and rabbit skeletal muscle was studied under conditions similar to those employed in skinned muscle fiber experiments, where ATP and Mg2+ concentrations were considered to be physiological and free Ca2+ concentration was kept constant during the Ca2+ uptake and release. Ca2+ level in FSR monotonously approached a steady state level which depended only on the final experimental conditions. Heavy fractions, but not light fractions, exhibited characteristics similar to those of Ca2+-induced Ca2+ release reported in skinned fiber studies: i) the rate and steady state level of Ca2+ uptake increased with increase in free Ca2+ concentration in the reaction medium up to 10(-6) M. With further increase in free Ca2+ concentration, the steady state level of Ca2+ taken up decreased while the Ca2+ uptake rate increased. ii) The steady state Ca2+ level was decreased by caffeine but increased by procaine or ruthenium red. Parallel measurement of Ca2+-ATPase activity clearly showed that these drugs modify the Ca2+ efflux but hardly affect the Ca2+-pump activity. It was concluded that the Ca2+-induced Ca2+ release mechanism was in operation at as low as 10(-6) M free Ca2+ concentration. Treatment of FSR with 0.6 M KCl did not have any significant effect.     

Distinct temporal relation among oxygen uptake, malondialdehyde formation, and low-level chemiluminescence during microsomal lipid peroxidation

An oxystat system was employed in conjunction with a single-photon counting apparatus for simultaneous monitoring of oxygen uptake, oxidative decomposition of membrane lipids, and occurrence of electronically excited species during microsomal lipid peroxidation. During NADPH/ADP-iron-promoted lipid peroxidation at a steady state oxygen partial pressure (pO2) of 30 mm Hg, complex time relationships among oxygen uptake, malondialdehyde (MDA) formation, and low-level chemiluminescence were observed. While the first two parameters occurred nearly simultaneously, low-level chemiluminescence occurred with a significant delay. A decrease of the steady state pO2 to 3 mm Hg led to significant increases of the lag phases of all three parameters and a further enhancement of the time displacement of low-level chemiluminescence in relation to oxygen uptake and MDA formation. At a pO2 of 0.5 mm Hg, the lowest pO2 maintained during this study, no low-level chemiluminescence was observed while oxygen uptake and MDA formation were still detected. In contrast, during NADPH/CCl4-promoted lipid peroxidation at a pO2 of 0.5 mm Hg a sudden drastic rise of low-level chemiluminescence accompanying oxygen uptake and MDA formation was observed. At pO2 between 0.5 and 3 mm Hg all three parameters occurred nearly concomitantly during the entire incubation. At pO2 levels above 3 mm Hg all three parameters showed principally the same behavior. However, the respective maxima of low-level chemiluminescence were reached with some delay. The present observations support the assumption that the decomposition of membrane lipid peroxyl radicals to MDA and the formation of electronically excited species proceed via different pathways. The time displacement between oxygen uptake and MDA formation, on the one hand, and low-level chemiluminescence, on the other hand, depends on the type of initiating radical system and on the steady state pO2 level. It is suggested that the differences are due to distinct subsets (chemical or spatial) of secondary peroxyl radicals in the membrane.     

Pulsatile flow and oxygen transport past cylindrical fiber arrays for an artificial lung: computational and experimental studies

The influence of time-dependent flows on oxygen transport from hollow fibers was computationally and experimentally investigated. The fluid average pressure drop, a measure of resistance, and the work required by the heart to drive fluid past the hollow fibers were also computationally explored. This study has particular relevance to the development of an artificial lung, which is perfused by blood leaving the right ventricle and in some cases passing through a compliance chamber before entering the device. Computational studies modeled the fiber bundle using cylindrical fiber arrays arranged in in-line and staggered rectangular configurations. The flow leaving the compliance chamber was modeled as dampened pulsatile and consisted of a sinusoidal perturbation superimposed on a steady flow. The right ventricular flow was modeled to depict the period of rapid flow acceleration and then deceleration during systole followed by zero flow during diastole. Experimental studies examined oxygen transfer across a fiber bundle with either steady, dampened pulsatile, or right ventricular flow. It was observed that the dampened pulsatile flow yielded similar oxygen transport efficiency to the steady flow, while the right ventricular flow resulted in smaller oxygen transport efficiency, with the decrease increasing with Re. Both computations and experiments yielded qualitatively similar results. In the computational modeling, the average pressure drop was similar for steady and dampened pulsatile flows and larger for right ventricular flow while the pump work required of the heart was greatest for right ventricular flow followed by dampened pulsatile flow and then steady flow. In conclusion, dampening the artificial lung inlet flow would be expected to maximize oxygen transport, minimize work, and thus improve performance.     

A computational model of oxygen transport in skeletal muscle for sprouting and splitting modes of angiogenesis

Oxygen transport from capillary networks in muscle at a high oxygen consumption rate was simulated using a computational model to assess the relative efficacies of sprouting and splitting modes of angiogenesis. Efficacy was characterized by the volumetric fraction of hypoxic tissue and overall heterogeneity of oxygen distribution at steady state. Oxygen transport was simulated for a three-dimensional vascular network using parameters for rat extensor digitorum longus (EDL) muscle when oxygen consumption by tissue reached 6, 12, and 18 times basal consumption. First, a control network was generated by using straight non-anastomosed capillaries to establish baseline capillarity. Two networks were then constructed simulating either abluminal lateral sprouting or intraluminal splitting angiogenesis such that capillary surface area was equal in both networks. The sprouting network was constructed by placing anastomosed capillaries between straight capillaries of the control network with a higher probability of placement near hypoxic tissue. The splitting network was constructed by splitting capillaries from the control network into two branches at randomly chosen branching points. Under conditions of moderate oxygen consumption (6 times basal), only minor differences in oxygen delivery resulted between the sprouting and splitting networks. At higher consumption levels (12 and 18 times basal), the splitting network had the lowest volume of hypoxic tissue of the three networks. However, when total blood flow in all three networks was made equal, the sprouting network had the lowest volume of hypoxic tissue. This study also shows that under the steady-state conditions the effect of myoglobin (Mb) on oxygen transport was small.     

Evidence of met-form myoglobin from Theliostyla albicilla radular muscle

Gastropod mollusc myoglobins provide interesting clues to the evolution of this family of proteins. In addition to conventional monomeric myoglobins, this group also has dimeric and unusual indoleamine dioxygenase-like myoglobins. We isolated myoglobin from the radular muscle of living gastropod mollusc Theliostyla albicilla. The myoglobin appeared to be present in an oxidized met-form, a physiologically inactive form that is not capable of binding oxygen. Under the same extraction conditions, myoglobins mainly of the physiologically active oxy-form have been isolated from other molluscs. The complete amino acid sequence of 157 residues of Theliostyla myoglobin shows that it has a long N-terminal extension of seven residues and contains three functional key residues: CD1-Phe, E7-His, and F8-His. The metmyoglobin can easily be reduced to a ferrous state with Na(2)S(2)O(4). The autoxidation rate of the oxy-form was comparable to other molluscan myoglobins over a wide pH range, and Theliostyla myoglobin was shown to be stable as an oxygen-binding protein. Thus, the predominantly met-form of myoglobin in Theliostyla can be attributed to the incomplete functioning of the myoglobin reduction system in the radular muscle. Although the function of Theliostyla myoglobin is unclear, it may be a scavenger of H(2)O(2).     

Myosin regulatory light chain modulates the Ca2+ dependence of the kinetics of tension development in skeletal muscle fibers.

To determine the role of myosin regulatory light chain (RLC) in modulating contraction in skeletal muscle, we examined the rate of tension development in bundles of skinned skeletal muscle fibers as a function of the level of Ca(2+) activation after UV flash-induced release of Ca(2+) from the photosensitive Ca(2+) chelator DM-nitrophen. In control fiber bundles, the rate of tension development was highly dependent on the concentration of activator Ca(2+) after the flash. There was a greater than twofold increase in the rate of tension development when the post-flash [Ca(2+)] was increased from the lowest level tested (which produced a steady tension that was 42% of maximum tension) to the highest level (producing 97% of maximum tension). However, when 40-70% of endogenous myosin RLC was extracted from the fiber bundles, tension developed at the maximum rate, regardless of the post-flash concentration of Ca(2+). Thus, the Ca(2+) dependence of the rate of tension development was eliminated by partial extraction of myosin RLC, an effect that was partially reversed by recombination of RLC back into the fiber bundles. The elimination of the Ca(2+) dependence of the kinetics of tension development was specific to the extraction of RLC rather than an artifact of the co-extraction of both RLC and Troponin C, because the rate of tension development was still Ca(2+) dependent, even when nearly 50% of endogenous Troponin C was extracted from fiber bundles fully replete with RLC. Thus, myosin RLC appears to be a key component in modulating Ca(2+) sensitive cross-bridge transitions that limit the rate of force development after photorelease of Ca(2+) in skeletal muscle fibers.     

Determination of myoglobin concentration and oxidative capacity in cryostat sections of human and rat skeletal muscle fibres and rat cardiomyocytes

Myoglobin plays various roles in oxygen supply to muscle mitochondria. It is difficult, and in some cases impossible, to study the relationship between the myoglobin concentration and the oxidative capacity of individual muscle cells because myoglobin has to be fixed in situ whereas determination of oxidative capacity, for example, succinate dehydrogenase activity, requires unfixed cryostat sections. We have investigated whether a vapour-fixation technique allows the use of serial sections to study the relationship between myoglobin and succinate dehydrogenase activity. The technique is used to study a rat soleus muscle, two human skeletal muscle biopsies and biopsies of two patients with chronic heart failure, and in a control and hypertrophied rat heart. Staining intensities were quantified by microdensitometry. The absorbance values were calibrated using sections cut from gelatine blocks containing known amounts of myoglobin. The results show that it is possible to use serial sections for the determination of the myoglobin concentration and succinate dehydrogenase activity, and indicate that myoglobin can lead to a substantial reduction (18–60%) of the extracellular oxygen tension required to prevent an anoxic core in muscle cells.     

Computational Assessment of Transport Distances in Living Skeletal Muscle Fibers Studied In Situ

Transport distances in skeletal muscle fibers are mitigated by these cells having multiple nuclei. We have studied mouse living slow (soleus) and fast (extensor digitorum longus) muscle fibers in situ and determined cellular dimensions and the positions of all the nuclei within fiber segments. We modeled the effect of placing nuclei optimally and randomly using the nuclei as the origin of a transportation network. It appeared that an equidistant positioning of nuclei minimizes transport distances along the surface for both muscles. In the soleus muscle, however, which were richer in nuclei, positioning of nuclei to reduce transport distances to the cytoplasm were of less importance, and these fibers exhibit a pattern not statistically different from a random positioning of nuclei. We also simulated transport times for myoglobin and found that they were remarkably similar between the two muscles despite differences in nuclear patterning and distances. Together, these results highlight the importance of spatially distributed nuclei to minimize transport distances to the surface when nuclear density is low, whereas it appears that the distribution are of less importance at higher nuclear densities.     

Respiratory functions of the blood in the limpet Siphonaria zelandica (Gastropoda: Pulmonata)

Abstract

The respiratory pigments myoglobin and haemocyanin were characterised in the marine pulmonate Siphonaria zelandica (Quoy & Gaimard) and their roles in an oxygen transfer system were postulated. In air, when the animals were active, oxygen was transported from a simple diffusion lung by haemocyanin in the blood which had a half-saturation value of 12.7 mm Hg at pH 7.2 and 25°c. At pH 7.6 the oxygen affinity decreased to 17.3 mm Hg, indicating a reverse Bohr effect which might be expected to facilitate oxygen uptake in the lung during bursts of activity at low tide. A high oxygen-combining capacity of buccal mass myoglobin (21.2 vols %) indicated a role of oxygen storage during bursts of feeding activity. The distribution of carbonic anhydrase in various tissues was consistent with a transfer system facilitating the release of metabolic carbon dioxide from the buccal mass.     

Postnatal development and plasticity of specialized muscle fiber characteristics in the hindlimb

Recent progress in defining molecular components of pathways controlling early stages of myogenesis has been substantial, but regulatory factors that govern the striking functional specialization of adult skeletal muscle fibers in vertebrate organisms have not yet been identified. A more detailed understanding of the temporal and spatial patterns by which specialized fiber characteristics arise may provide dues to the identity of the relevant regulatory factors. In this study, we used immunohistochemical, in situ hybridization, and Northern blot analyses to examine the time course and spatial characteristics of expression of myoglobin protein and mRNA during development of the distal hindlimb in the mouse. In adult animals, myoglobin is expressed selectively in oxidative, mitochondria-rich, fatigue-resistant myofibers, and it provides a convenient marker for this particular subset of specialized fibers. We observed only minimal expression of myoglobin in the hindlimb prior to the second day after birth, but a rapid and large (50-fold) induction of this gene in the ensuing neonatal period. Myoglobin expression was limited, however, to fibers located centrally within the limb which coexpress myosin isoforms characteristic of type I, IIA, and IIX fibers. This induction of myoglobin expression within the early postnatal period was accompanied by increased expression of nuclear genes encoding mitochondrial proteins, and exhibited a time course similar to the upregulation of myoglobin and mitochondrial protein expression that can be induced in adult muscle fibers by continuous motor nerve stimulation. This comparison suggests that progressive locomotor activity of neonatal animals may provide signals which trigger the development of the specialized features of oxidative, fatigue-resistant skeletal muscle fibers. © 1996 Wiley-Liss, Inc.     

A mathematical model of transmural transport of oxygen to the retina

A mathematical model of transmural transport of oxygen to a metabolizing retina is presented based on the equations of fluid dynamics. The equations of oxygen transfer are derived and then solved subject to the condition that the capillaries begin to transport oxygen at an initial time. The resulting transient analysis gives us insight into how diffusive and filtrative processes lead to the oxygen distributions both inside and outside capillaries. On the other hand, the steady state solution allows us to predict the cutoff intraocular pressure above which no oxygen is transferred to retinal tissue. It also gives quantitative relationships which allow us to postulate how intracapillary hypertension counterbalances elevated intraocular pressures and how low pressure glaucoma may arise from ineffective diffusive and filtrative processes of oxygen transport.     

Mitochondrial functional impairment with aging is exaggerated in isolated mitochondria compared to permeabilized myofibers

Mitochondria regulate cellular bioenergetics and apoptosis and have been implicated in aging. However, it remains unclear whether age‐related loss of muscle mass, known as sarcopenia, is associated with abnormal mitochondrial function. Two technically different approaches have mainly been used to measure mitochondrial function: isolated mitochondria and permeabilized myofiber bundles, but the reliability of these measures in the context of sarcopenia has not been systematically assessed before. A key difference between these approaches is that contrary to isolated mitochondria, permeabilized bundles contain the totality of fiber mitochondria where normal mitochondrial morphology and intracellular interactions are preserved. Using the gastrocnemius muscle from young adult and senescent rats, we show marked effects of aging on three primary indices of mitochondrial function (respiration, H₂O₂ emission, sensitivity of permeability transition pore to Ca²⁺) when measured in isolated mitochondria, but to a much lesser degree when measured in permeabilized bundles. Our results clearly demonstrate that mitochondrial isolation procedures typically employed to study aged muscles expose functional impairments not seen in situ. We conclude that aging is associated with more modest changes in mitochondrial function in sarcopenic muscle than suggested previously from isolated organelle studies.