SUMMARY
We examined the structure–function relationships that underlie the aerobic capacities of marsupial mammals that hop. Marsupials have relatively low basal metabolic rates (BMR) and historically were seen as ‘low energy’ mammals. However, the red kangaroo, Macropus rufus (family Macropodidae), has aerobic capacities equivalent to athletic placentals. It has an extreme aerobic scope (fAS) and its large locomotor muscles feature high mitochondrial and capillary volumes. M. rufus belongs to a modern group of kangaroos and its high fAS is not general for marsupials. However, other hopping marsupials may have elevated aerobic capacities. Bettongia penicillata, a rat-kangaroo (family Potoroidae), is a small (1 kg), active hopper whose fAS is somewhat elevated. We examined the oxygen delivery system in its muscles to ascertain links with hopping. An elevated fAS of 23 provided a relatively high maximal aerobic oxygen consumption () in B. penicillata; associated with this is a skeletal muscle mass of 44% of body mass. Ten muscles were sampled to estimate the total mitochondrial and capillary volume of the locomotor muscles. Values in B. penicillata were similar to those in M. rufus and in athletic placentals. This small hopper had high muscle mitochondrial volume densities (7.1–11.9%) and both a large total capillary volume (6 ml kg−1 body mass) and total capillary erythrocyte volume (3.2 ml kg−1). Apparently, a considerable aerobic capacity is required to achieve the benefits of the extended stride in fast hopping. Of note, the ratio of to total muscle mitochondrial volume in B. penicillata was 4.9 ml O2 min−1 ml−1. Similar values occur in M. rufus and also placental mammals generally, not only athletic species. If such relationships occur in other marsupials, a fundamental structure–function relationship for oxygen delivery to muscles likely originated with or before the earliest mammals.
INTRODUCTION
This investigation focuses on the functional relationships of oxygen delivery that underlie the aerobic capacities of marsupial mammals, notably of those that hop, such as kangaroos. It aims to put these into perspective relative to the oxygen transport characteristics of the placental mammals. Marsupials and placentals together comprise the advanced mammals (Theria). While they have many features in common, significant differences have occurred over their long evolutionary history; the two groups diverged about 148 million years ago (Bininda-Emonds et al., 2007). Reproductive features are a notable difference, but energetic differences also exist, as indicated by the relatively low basal metabolism of marsupials. However, some marsupials, such as the hopping red kangaroo, Macropus rufus (Dawson et al., 2004), can achieve high and sustained energy outputs that are comparable with those of athletic placental mammals. Do the energetic features of the red kangaroo occur among groups of marsupials?
Use of bipedal hopping for high-speed locomotion is uncommon among mammals. For mammals exceeding 1 kg in body mass, it is rare and is largely restricted to marsupials of the monophyletic suborder Macropodiformes (kangaroos, wallabies and rat-kangaroos), the ancestral form of which is posited as a small, leaping, arboreal marsupial (Dawson, 2012). The energy versus speed relationships during hopping differ from those of running mammals, and the relative costs of fast hopping in the macropodiforms are lower than those for runners generally (Dawson and Taylor, 1973; Webster and Dawson, 2003; Dawson and Webster, 2010). Kangaroos and their relatives, like other marsupials, have low basal metabolic rates (BMR) relative to those of most placental mammals (Martin, 1902; Dawson and Hulbert, 1970; Withers et al., 2006) and, from the early studies, marsupials gained a reputation as ‘low energy’ mammals. The strength of this paradigm was such that when the unusual energetic characteristics of the hopping of M. rufus were uncovered (Dawson and Taylor, 1973) they were seen to represent a strategy to overcome metabolic limitations (Dawson, 1977). However, from further work on M. rufus, this was seen not to be true; via a large factorial aerobic scope (fAS) of 54, it achieves a maximal aerobic oxygen consumption () comparable to that of athletic placentals (Kram and Dawson, 1998; Dawson et al., 2003). Studies point to other marsupials, including quadrupedal species, having similar to some placentals, due to expanded aerobic scopes (Dawson and Dawson, 1982; Hinds et al., 1993), but their fAS values do not approach those of M. rufus.
To initially examine these relationships in marsupials, Dawson et al. studied the underlying basis of the extreme fAS of M. rufus (Dawson et al., 2004). They followed the techniques that were developed in the studies of the design of the mammalian (placental) respiratory system initiated by Taylor and Weibel (Taylor and Weibel, 1981) and summarized by Weibel et al. (Weibel et al., 2004). Weibel et al. had found that body size dependent, or allometric, variations in aerobic capacities () of animals were strongly correlated with variation in structural and functional aspects of the cardio-respiratory system, such as pulmonary diffusing capacity and capillary and mitochondria densities in locomotor muscles (Weibel et al., 2004). In animals of the same size, the of more athletic species was tightly linked to proportionally larger total mitochondrial and capillary erythrocyte volumes in these muscles. With M. rufus, the detailed studies of the morphometry of a full complement of skeletal muscles (Dawson et al., 2004) showed a full match with the features seen in placental mammals. In fact, despite its locomotion and extreme body form, M. rufus utilises structure–function relationships for oxygen delivery to the locomotor muscles that are essentially identical to those in comparably sized athletic placentals such as dogs and pronghorns (Dawson et al., 2004).
While marsupials may have aerobic potentials similar to those of some placentals, their usually reported fAS values are a quarter of those of M. rufus (Dawson and Dawson, 1982; Hinds et al., 1993). Are the expanded aerobic/muscular characteristics of M. rufus only recently derived and evolutionarily convergent with large, athletic forms within placental groups? It is a macropodine kangaroo and these are an evolutionarily recent (Late Pliocene/Pleistocene) and successful group of fast-hopping, specialist grazers (Meredith et al., 2008). However, it is possible that the aerobic/muscular characteristics of M. rufus are more broadly spread, at least among the Macropodiformes. A rat-kangaroo, the brush-tailed bettong (Bettongia penicillata), is an active hopper and has a somewhat elevated fAS of about 23 (Webster and Dawson, 2003). Seeherman et al. measured its (Seeherman et al., 1981) but the significance of the data was initially overlooked when B. penicillata was treated as a placental. It belongs to a more conservative macropodiform group: the family Potoroidae. The family of the modern large kangaroos, the Macropodidae, diverged from the Potoroidae some 25–30 million years ago (Meredith et al., 2008). The fAS of B. penicillata is markedly lower than that of M. rufus, and this may reflect its aerobic abilities. However, B. penicillata is small, only 1 kg, and Weibel et al. have shown that fAS decreases considerably with decreasing body size, even among athletic placentals (Weibel et al., 2004). Our examination of the structure–function relationships for oxygen delivery to the locomotor muscles of B. penicillata will not only clarify the energetic capabilities among marsupials but will also provide significant insights into the overall evolution of high energetic capabilities in mammals generally.
MATERIALS AND METHODS
Animals
The brush-tailed bettong or woylie (Bettongia penicillata Gray 1837) is a small, hopping marsupial from the family Potoroidae. The Potoroidae have an extensive fossil history in Australia but the modern fauna comprises less than a dozen species. They are noted as being mycophagus, i.e. eating the underground fruiting bodies of fungi, but are also herbivorous and insectivorous (Claridge et al., 2007). Bettongia penicillata was once common across southern Australia but is now restricted to a few sites in Western Australia (Christensen, 1995); habitat destruction, coupled with predation by the introduced red fox, being implicated in their decline. The animals used in the present study were from a captive breeding colony housed at the University of New South Wales Field Station at Cowan, north of Sydney. Four healthy, mature males (surplus to breeding needs) were selected for this study. These individuals had been used for a previous study of hopping locomotion energetics and aerobic capacity (Webster and Dawson, 2003).
All animals were kept in indoor pens and maintained on a regular treadmill exercise regimen for 4 weeks prior to death. The bettongs were sedated with diazepam and weighed to the nearest 10 g, then administered intramuscularly with a lethal overdose of ketamine/xylazine anaesthetic. Death occurred within 15 min of administration of the overdose. All procedures were approved by the University of New South Wales Animal Care and Ethics Committee (project number 00/67).
Muscle sample collection and preparation
To assess the mitochondrial and capillary characteristics of the skeletal muscle of the whole body, we followed the sampling procedure of Dawson et al. (Dawson et al., 2004) for M. rufus [comparable to that of Hoppeler et al. (Hoppeler et al., 1984)]. The musculature of B. penicillata was divided into seven functional units: head and neck, fore leg, trunk, back, upper hind leg, lower hind leg and tail (Fig. 1). By sampling from muscles from each region, the mitochondrial and capillary characteristics of the skeletal muscle of the regions, and hence the whole body, were determined. Dawson et al. selected muscles randomly from each region and we followed their selection procedure (Dawson et al., 2004). Data were also collected from the diaphragm. The muscles sampled (including the diaphragm) represented 17.5% of the total musculature. A concurrent study of the heart was also undertaken (Dawson et al., 2003).
For each animal, the side of the body (left or right) to be sampled was selected by coin toss. On this side, two sample blocks (about 1–2 mm3) for electron microscopy were cut from random locations within each muscle and placed immediately into a fixative solution of 2.5% glutaraldehyde in 0.1 mol l−1 sodium cacodylate buffer (pH 7.4), then kept refrigerated at 4°C prior to preparation for electron microscopy. The opposite side of the body was used to determine total masses of skeletal muscle for each body region. Muscle sampling for electron microscopy was completed within 2–3 h of death, as recommended by Hoppeler et al. (Hoppeler et al., 1981).
Preparation for electron microscopy
Where required, sample blocks were trimmed into smaller pieces. Blocks were prepared for electron microscopy using the method of Dawson et al. (Dawson et al., 2004), ultimately being embedded into Spurr's epoxy resin (slow cure) over a long infiltration period (3–4 days) and cured at 60°C for 48 h.
A Reichert-Jung Ultracut ultramicrotome (Leica Microsystems, Vienna, Austria) was used to section the embedded samples. Five to 10 ultra-thin sections showing silver (60–90 nm) or gold (90–150 nm) interference colours were cut from each sample and mounted on 200 mesh copper grids. Grid-mounted sections were stained with 2% uranyl acetate in 50% ethanol for 10 min and then rinsed in distilled water. Because sections were to be used for estimating capillary tortuosity (see below), both transverse and longitudinal sections were taken from each muscle (from differently oriented blocks).
Mitochondrial volume
Grids were viewed at a magnification of 12,000× using a Hitachi 7000 (Tokyo, Japan) or JEOL 1400 (Tokyo, Japan) transmission electron microscope (TEM). For each sample block, 10 grid squares were selected using a systematic random sampling method (Howard and Reed, 1998). Digital photographs were taken in the top left corner of the grid squares using an Olympus SQ (Tokyo, Japan) digital camera and software package AnalySIS (attached to the Hitachi 7000 TEM) or a Gatan (Pleasanton, CA, USA) digital camera and software package Gatan Digital Micrograph (attached to the JEOL 1400). For each animal, 20 digital images were obtained per muscle (10 images × two blocks).
Surface density of the inner mitochondrial membranes
Capillary length and volume
Both transverse and longitudinal sections were sliced from muscles and were used to estimate the tortuosity factor, c(K,0), of the capillary network, using the shortcut estimation method of Mathieu et al. (Mathieu et al., 1983). The tortuosity factor was determined for all of the 10 muscles sampled (diaphragm, m. masseter, m. triceps, m. erector spinae, m. multifidi lumborum, m. vastus lateralis, m. semitendinosus, m. biceps femoris, m. gastrocnemius and m. coccygeus). The mean tortuosity factor was c(K,0)=1.46±0.08 (±s.e.m.) for N=10 muscles but it varied considerably between muscles from c(K,0)=1.10 in the diaphragm to c(K,0)=2.00 in the m. multifidi lumborum. We therefore used the appropriate tortuosity factor for each muscle in calculations of capillary length density.
Statistical methods
Comparisons between muscles were analysed using one-way ANOVAs (using SPSS 16.0, IBM, Armonk, NY, USA). A Student–Newman–Keuls (SNK) multiple range test was applied when significant differences were indicated by the ANOVA. Correlation analyses were also performed using SPSS 16.0. Figures and tables show means ± s.e.m.
RESULTS
The mean body mass (Mb) of the four male B. penicillata was 1000±20 g, of which 436±14 g (or 43.6%) was skeletal muscle mass. The mitochondrial and capillary characteristics of B. penicillata locomotor muscles are shown in Table 1. These muscles were representative of the body regions depicted in Fig. 1. In the random selection of muscles, the masseter muscle of the jaw was included to represent the head and neck region. This small muscle (1.07±0.16 g) was found to have characteristics very different from those of the locomotor muscles. Vv(mt,f) was 16.4±4.9%, which is significantly higher than that of the other muscles (F9,1=4.433, P=0.001). This was also the case for Jv(c,f), where the value was 1499±295 mm mm−3 muscle (F9,1=3.992, P=0.002). The overall characteristics of this muscle, including fibre types and its evolutionary origins (Hoh, 2002), set it apart from the other muscles of the body, including those of the head and neck, and consequently we set it aside in our investigation of the relationships between muscle structure–function and maximal aerobic capacities.
Vv(mt,f) varies between muscles (Table 1). Apart from the diaphragm, the m. semitendinosus has the highest Vv(mt,f) of 11.9%. The majority of the muscles tended to be similar, with values ranging between 7.1% and 8.2%, but the m. coccygeus stood out with a Vv(mt,f) of only 2.8%. The Sv(im,m) was measured for the m. multifidi lumborum and was 33.2±1.71 m2 cm−3 (N=4). This value is essentially the same as that noted for placental mammals (Schwerzmann et al., 1989) and red kangaroos (Dawson et al., 2004).
Capillary characteristics also differ between muscles (Table 1). Jv(c,f) incorporates c(K,O) and indicates the capillary supply to muscles (Conley et al., 1987). In this study, c(K,O) was determined for each muscle from each animal. The highest Jv(c,f) was found in the m. biceps femoris (1089 mm mm−3 muscle). The majority of muscles was intermediate between this value and the low values seen in the m. vastus lateralis (579 mm mm−3) and diaphragm (548 mm mm−3). The pattern of difference between the muscles altered when muscle size was taken into account in the determination of J(c) in each muscle. The two largest muscles, m. erector spinae of the back and m. biceps femoris of the upper hind leg, had significantly greater total capillary lengths than the other muscles. The capillary volume per gram of muscle, V(c)/Mm, did not differ significantly between muscles. This could be because of variation in capillary diameter. However, no significant difference was noted in capillary diameter across muscles; the mean was 4.81 μm, with the range being 4.57 to 5.45 μm. The ratio V(c)/V(mt,m) indicates the capillary blood supply to mitochondria in various muscles. The only muscle that was notably different, with a very high capillary volume per unit of mitochondria, was the m. coccygeus of the tail. Significant differences in V(c)/V(mt,m) between all the remaining muscles were absent.
The muscle-specific mitochondrial and capillary data (Table 1) were combined with the muscle mass distribution in various regions of the body to get an overall estimate of the distribution of mitochondria and capillaries in those regions (Table 2), in the manner of previous studies (Hoppeler et al., 1984; Hoppeler, 1990; Weibel et al., 2004; Weibel and Hoppeler, 2005; Dawson et al., 2004). The upper hind leg had significantly more muscle than other regions, containing 40.4% of the total skeletal muscle mass. The next most muscular regions were the trunk (26.9%) and the back and lower leg (10.5% and 9.6%, respectively). The fore part of the body was lightly muscled, with the head and neck contributing only 2.8% of the total skeletal muscle. The distribution of mitochondria and capillaries throughout the muscle regions largely follows the muscle mass distribution. However, the low Vv(mt,f) of the tail resulted in this region containing only 1.5% of skeletal muscle mitochondria, despite contributing 4.8% of the total skeletal muscle mass.
DISCUSSION
Bettongia penicillata is a small (~1 kg) cursorial marsupial that uses hopping as its primary locomotory gait, in the manner of the kangaroo M. rufus. However, B. penicillata belongs to a relatively conservative family (Potoroidae) from which the clade that gave rise to the kangaroos (family Macropodidae) diverged some 25–30 million years ago (Meredith et al., 2008). So, are the structure–function characteristics of hopping common across these families, or are the highly athletic characteristics unique to the more recently evolved kangaroos? In kangaroos, the hopping gait enables stride length to be much extended so that increased speed can be achieved at comparative low energy cost. Additionally, the kangaroos couple these features with a substantial mass of aerobic locomotor muscle (a ‘big motor’) to achieve high speeds (Dawson et al., 2004; Dawson and Webster, 2010). The spring-like nature of hopping had focused interest on elastic energy storage during fast locomotion; however, it occurs in galloping mammals and is not the unique feature of hopping (Dawson and Webster, 2010). From a previous study (Webster and Dawson, 2003), it is apparent that the characteristics of hopping and the energetics of locomotion (including a high ) are similar in B. penicillata to those of M. rufus. And from our present study, B. penicillata also has comparable underlying cardio-respiratory structures to support the high aerobic capacity and achieve a marked athletic ability. The overall aerobic capability of M. rufus is based on a range of features that are also common to athletic placental mammals (Dawson et al., 2004). These include a relatively large heart and an elevated blood oxygen-carrying capacity that service a large, mitochondrial-rich, muscle mass. B. penicillata appears similarly endowed; it has been seen to possess both a large heart (Dawson et al., 2003) and a high haemoglobin concentration in the blood (Agar et al., 2000) and we now have shown that these are part of the support network for its locomotor muscles, the basis of its aerobic capability.
A feature of the high aerobic capacity of B. penicillata and M. rufus is their fAS (Table 3). In both species, these are well beyond those reported for comparable placentals (Weibel et al., 2004). These extreme fAS values are, in part, a reflection of the increase in metabolism relative to the lower basal metabolism of the marsupials but, additionally, their values for are in the upper range of values obtained amongst placental mammals. The fAS of M. rufus is 54 (Table 3). The fAS of B. penicillata is 23, considerably below that of the kangaroo but it is likely that this difference is related to a body size effect rather than a departure from the aerobic patterns seen in M. rufus. Body mass has a marked influence on fAS in placental mammals (Weibel et al., 2004).
Both the coefficient and the exponent of Eqn 9 are not different from those in Eqn 7 [coefficient, t=0.015, d.f.=21, P>0.50; exponent, t=0.080, d.f.=20, P>0.50; using the method of Zar (Zar, 1999)]. Conclusively then, we can say that both M. rufus and B. penicillata exhibit that are equivalent to those of athletic placental mammals of the comparable sizes. The principal difference between athletic and non-athletic placentals appears to be the expansibility of their aerobic capacity, i.e. in fAS. That of athletic species is markedly higher than that of the non-athletic group (Weibel et al., 2004). As noted above, our macropodiform marsupials had higher fAS values than all placentals, and high fAS values appear to be a general feature for marsupials. Their relatively low BMR are countered by levels of maximal metabolism at least equivalent to those of placental mammals (Dawson and Dawson, 1982). Values for for nine marsupial species (mass range 16 g to 5 kg) (Hinds et al., 1993) are all higher than the values predicted from Eqn 8 above, i.e. that for non-athletic placentals. The possibility that marsupials other than the Macropodiformes tend to ‘athleticism’ requires investigation.
The fundamental difference between athletic species such as B. penicillata and M. rufus and more sedentary species such as the agouti is the total mitochondrial volume in skeletal muscle, which is determined by the mean mitochondrial density, Vv(mt,f), and the total skeletal muscle mass, Mm/Mb, both of which are high in athletic species. The oxygen supply to the mitochondria follows a similar pattern, with athletic species having both higher V(c) and V(ec), as reflected by higher haematocrits, Hct (Table 3).
While the whole-body muscle mitochondrial and capillary parameters of B. penicillata show similarities with M. rufus (and placental mammals), examining the detail of muscular regions and individual muscles gives some insight into functional differences between B. penicillata and M. rufus. As in M. rufus, the aerobic performance of B. penicillata is associated with a large skeletal muscle mass that is primarily organized for power output from the hind legs (Table 2). Compared with many placental mammals (Weibel et al., 2004), B. penicillata has a high total muscle mass: 43.6% of Mb. The amount of skeletal muscle was marginally higher at 46.8% of Mb in M. rufus (Table 3). In M. rufus, the bulk of the trunk and back musculature is concentrated posteriorly and its tail is large and well muscled, leading to more than 80% of its skeletal muscle mass being concentrated in its posterior region (Dawson et al., 2004). B. penicillata has a much less muscular tail, and less of its trunk and back musculature is located posteriorly (see Fig. 1). These differences in body proportion are likely related to the differences in the slow speed gaits of the two species. B. penicillata uses a quadrupedal gait at slow speeds (Fig. 4A) whereas M. rufus uses a ‘pentapedal’ gait, in which the tail is used as a fifth limb that provides significant propulsive force, while the front legs act only as struts to support the body (Dawson et al., 2004). The tail of M. rufus is also significantly involved in hopping locomotion. It is large and packed with long tendons and acts both in counterbalancing and elastically conserving energy. By contrast, while the position of the tail of B. penicillata does change during different phases/stages of hopping (Fig. 4B,C), it seems not to be markedly involved in energy conservation or counterbalancing.
In B. penicillata, as in M. rufus, patterns in muscle mass distribution are broadly reflected in the distribution of mitochondrial volumes, V(mt,m), and capillary volumes, V(c). Some deviations do exist, however. The fore leg region of M. rufus contains a lower proportion of mitochondrial (1.7%) and capillary volumes (2.4%) than would be predicted from its contribution to muscle mass (3.9%). Its m. triceps had a notably low Vv(mt,f) (Dawson et al., 2004) that apparently matches the low requirement for aerobic power output, relative to that of the key locomotor muscle regions of the upper hind leg, trunk and back (Dawson et al., 2004). In B. penicillata, such a pattern is not seen and the Vv(mt,f) of its m. triceps is similar to that in most muscles (Table 1). The higher Vv(mt,f) of the triceps in B. penicillata is presumably related to the more substantial role of the fore limbs in quadrupedal locomotion and in foraging; B. penicillata actively forages for underground fungal fruiting bodies (truffles). On the other hand, in B. penicillata the tail musculature is poor in mitochondria; it contributes just 1.5% of total skeletal muscle mitochondrial volume despite contributing 4.8% of total muscle mass (Table 2). As previously discussed, the tail of B. penicillata plays a small role in locomotion, but why then is the capillary volume of the tail region not proportionally reduced (Table 2)? The V(c)/V(mt,m) of the m. coccygeus is the highest of all sampled muscles (Table 1). This apparently disproportionate capillarisation of the m. coccygeus (and the tail region in general) can be explained from the roles other than oxygen delivery that capillaries have; they are also involved in thermal balance and heat transfer. A species related to B. penicillata, the long-nosed potoroo (Potorous tridactylus), utilizes sweating at the base of the tail as a key cooling mechanism (Hudson and Dawson, 1975). B. penicillata has been likewise noted to sweat profusely at the base of the tail after bouts of exercise. It is likely, therefore, that the principal role of the ‘excess’ of capillaries in the m. coccygeus is for the transfer of heat.
Despite small variations, our data for B. penicillata and that for M. rufus (Dawson et al., 2004) obviously point to a large group of marsupial mammals (suborder Macropodiformes, the ‘big foots’) with aerobic capacities equivalent to those of the most athletic placental mammals. At the core of such capacity are large locomotor muscles that are rich in mitochondria. These muscles are serviced by an integrated O2 supply chain from the lungs to the muscle capillaries via the cardiovascular system, which has the same features in marsupials and placentals. The fundamental characteristics of the O2 supply chain and the level of capillary supply of erythrocytes, and hence oxygen, to the mitochondria are also notably similar in non-athletic and athletic placentals (Weibel et al., 2004). Mammals with higher aerobic capacities simply have more muscle and mitochondria combined with an oxygen delivery system that has more capacity, e.g. bigger hearts. Given the ubiquity of this system, it is probably old in an evolutionary sense, with its characteristics dating back to the origin of mammals in the Jurassic era and possibly to the mammal-like synapsids back in the Permian era (299–251 million years ago).
The data for the macropodiform marsupials clarify but somewhat complicate our overall understanding of the relationship of to BMR in mammals. Early studies suggested that there was a simple link between the two metabolic levels, with being about 10× BMR so that both would scale with Mb0.75 (Pasquis et al., 1970; Lechner, 1978). Recently, West and coworkers have attempted to formalize these empirical relationships via a consideration of the fractal design of the O2 supply chain to mitochondria and suggested that Mb0.75 is the basis of a universal scaling law (West et al., 1997; West et al., 1999). Weibel and Hoppeler reviewed this topic and showed empirically that the exponent was not 0.75 for but much higher (Weibel and Hoppeler, 2005). As we have also shown in Eqn 9, of athletic mammals scales with Mb0.94. BMR within taxonomic groups appears to be a conservative trait that generally scales near Mb0.75 (West et al., 1999; Withers et al., 2006), with marsupial BMR being lower than that of placentals (Dawson and Hulbert, 1970; Withers et al., 2006). However, appears to be more flexible, depending on the lifestyle strategy of a particular mammalian type, complicating the often-accepted assumption that there is a reasonably tight relationship between BMR and . The data from the macropodiforms support Weibel and Hoppeler's finding that the key to predicting is the amount of active muscle and its mitochondria.
Acknowledgements
Staff of the University of New South Wales Electron Microscope Unit provided much instruction on processing samples for electron microscopy and use of the two models of transmission electron microscopes. Mrs Sigrid Fraser of the UNSW Electron Microscope Unit performed sample processing not performed by the authors.
FOOTNOTES
FUNDING
This work was supported in part by the Australian Research Council [grant number A19917218 to T.J.D.]. The study was carried out under approval given by the University of New South Wales Animal Care and Ethics Committee (project approval numbers 98/09 and 00/67).
LIST OF SYMBOLS AND ABBREVIATIONS
- A(c)
capillary cross-sectional area
- BMR
basal metabolic rate
- c(K,0)
tortuosity factor of the capillary network
- d
density of muscle
- fAS
factorial aerobic scope
- Hct
haematocrit
- J(c)
total capillary length
- Jv(c,f)
capillary length density
- Mb
body mass
- Mm
muscle mass
- NA(c,f)
numerical capillary density
- rc
mean capillary radius
- Sv(im,mt)
surface density of inner mitochondrial membranes per unit volume of mitochondria
- S(im,m)
total surface area of inner mitochondrial membranes
- V(c)
capillary volume
- V(ec)
capillary erythrocyte volume
- V(mt)
total mitochondrial volume of skeletal muscle
- V(mt,m)
mitochondrial volume of individual muscles (or muscle regions)
maximal aerobic oxygen consumption
- Vv(f,m)
volume fraction of muscle occupied by muscle fibres
- Vv(mt,f)
volume fraction of mitochondria