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1 Department of Medicine 0623A, University of California at San Diego, La Jolla, California 92093 and 2 Institute of Marine Science, University of Alaska Fairbanks, Fairbanks, Alaska 99775-7220
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ABSTRACT |
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The purpose of this study was to examine muscle capillary supply in harbor seals. Locomotory and nonlocomotory muscles of four harbor seals (mass = 17.5-41 kg) were glutaraldehyde-perfusion fixed and samples processed for electron microscopy and analyzed by morphometry. Capillary-to-fiber number and surface ratios were 0.81 ± 0.05 and 0.16 ± 0.01, respectively. Capillary length and surface area per volume of muscle fiber were 1,495 ± 83 mm/mm3 and 22.4 ± 1.6 mm2/mm3, respectively. In the locomotory muscles, we measured capillary length and surface area per volume mitochondria (20.1 ± 1.7 km/ml and 2,531 ± 440 cm2/ml). All these values are 1.5-3 times lower than in muscles with similar or lower volume densities of mitochondria in dogs of comparable size. Compared with terrestrial mammals, the skeletal muscles of harbor seals do not match their increased aerobic enzyme capacities and mitochondrial volume densities with greater muscle capillary supply. They have a smaller capillary-to-fiber interface and capillary supply per fiber mitochondrial volume than terrestrial mammals of comparable size.
mitochondria; capillary supply; muscle
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INTRODUCTION |
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THE FUNCTIONAL CAPACITY of the respiratory pathway to deliver oxygen is matched to the oxygen requirements of the tissues in terrestrial mammals and birds (2, 11- 13, 20, 21). The large aerobic scopes of terrestrial animal athletes result from both high mitochondrial volume densities in skeletal muscles and cardiorespiratory adaptations that enhance convective and diffusive oxygen transport (e.g., increased capillary densities, capillary length, and surface area per volume mitochondria; Ref. 14). Terrestrial mammals increase ventilation and cardiac output during exercise. In contrast, marine mammals stop breathing, reduce cardiac output, and limit peripheral blood flow during diving. This dive response (i.e., apnea, bradycardia, and peripheral vasoconstriction) reduces convective oxygen transport to muscles, resulting in tissue hypoxia (5, 7), and appears to limit aerobic scope (4, 6, 7, 16).
Analogies have been drawn between high-altitude-adapted animals and marine mammals in terms of possible adaptations in skeletal muscles to maintain aerobic metabolism under hypoxic conditions (9, 10, 16). Contrary to high-altitude animals that function under hypoxia but display the typical exercise response of increasing ventilation and cardiac output, marine mammals exercise under a different form of hypoxic stress. They must function for the duration of a dive with only a finite amount of oxygen. A number of studies have postulated a possible downregulation of oxidative metabolism to levels approximately half of those found in terrestrial mammals of comparable size to maintain oxidative metabolism under the hypoxic conditions associated with diving (10, 12). However, the results of our previous study indicated that pinniped skeletal muscles have oxidative capacities that are enhanced compared with terrestrial mammals of comparable size and aerobic scopes but similar to athletic terrestrial mammals of comparable size (16).
In marine mammals, dive time is inversely related to metabolic rate (1). Thus, during diving, the regulation of blood flow serves the conflicting functions of oxygen consumption and conservation. In contrast, there is a direct relationship between perfusion and cellular metabolism in terrestrial mammals (1). The capillary supply of terrestrial mammals is significantly correlated with the oxidative capacity of the skeletal muscles (13, 14, 29).
The purpose of this study was to determine muscle capillary supply in harbor seals (Phoca vitulina) and whether it is matched to the role of oxygen consumption or conservation in marine mammals. We examined both locomotory and nonlocomotory muscles of the seals compared with hindlimb muscles of dogs (Canis familaris) of comparable size. Specifically, we wanted to test the hypothesis that there is no difference in muscle capillary supply between marine and terrestrial mammals with comparable aerobic capacities.
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MATERIALS AND METHODS |
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Four subadult harbor seals (Phoca vitulina, mass = 29.6 ± 5.8 kg) and two dogs (Canis familaris,
mass = 17 ± 3 kg) were anesthesized and perfusion fixed. The
entire vasculature was perfused with saline. Perfusion fixation
followed with a 6.25% solution of glutaraldehyde in 0.1 M sodium
cacodylate buffer (total osmolarity of the fixative: 1,100 mosM; pH
7.4) for 10 min. Muscle samples were taken from both locomotory
(longissimus dorsi and latissimus dorsi) and nonlocomotory (diaphragm,
gastrocnemius, vastus profundus, vastus lateralis, and semitendinosus)
muscles from harbor seals and from the hindlimb muscles of dogs (Table
1). All samples were cut into thin
longitudinal strips, stored in glutaraldehyde fixative, and processed
for electron microscopy, as previously described (27).
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From each muscle sample, four transverse and four longitudinal sections were collected from 4-8 blocks by using a LKB Ultrotome III. They were stained with 0.1% aqueous toluidine blue solution, and sarcomere length (lo) was measured in longitudinal sections (27). Ultrathin sections (50-70 nm) were cut transversely to the muscle fiber axis in four blocks from each sample. They were contrasted with uranyl acetate and bismuth subnitrate, and electron micrographs for morphometry were taken on 70-mm film by use of a Zeiss 10 transmission electron microscope.
Capillary counts per fiber sectional area (i.e., capillary densities;
QA) were obtained by morphometry on transverse
[QA(0)] and longitudinal
[QA(
/2)] sections, using a 100-point
square-grid test eyepiece at a magnification of ×400 on a light
microscope. An average of 11 ± 1 (mean ± SE)
fields/sample in transverse and longitudinal sections was measured.
The capillary anisotropy coefficient c(K,0), a relative
measure of capillary orientation, was estimated as described previously (26). Capillary length per fiber volume
[JV(c,f)] was calculated as the product of
QA(0) and c(K,0).
Capillary diameter [


The 

The volume density of mitochondria, myofibrils, and lipid
droplets per volume of muscle fiber was estimated by point counting at
a final magnification of ×24,000. Contact prints of the electron microscope films were projected on a 144-point square-grid test of a microfilm reader (Documator DL 2, Jenoptic, Jena, Germany). Mitochondrial volume per micrometer of fiber length at 2.1 µm lo was calculated as the product of total volume
density of mitochondria [VV(mt,f)] and

Results are expressed as means ± SE. Statistical comparisons between species were made using t-tests from Microsoft Excel Analysis Tool Pak (P < 0.05).
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RESULTS |
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Figure 1 shows light
micrographs of transverse sections of the longissimus dorsi of a harbor
seal and the sartorius muscle of a dog. The seal muscle has a higher
volume density of mitochondria (8.7 ± 0.0 vs. 7.4 ± 0.5%;
Table 3) but a lower capillary density (Table 1 and Fig. 1) than the
dog. Values for lo in the harbor seal
muscles ranged from 1.77 to 3.17 µm, and group means (2.37 ± 0.10 µm) were similar to those in dog muscles (2.27 ± 0.20 µm). The 
2) than in seals
(1,138 ± 81 mm
2, P < 0.01; Table
1). NN(c,f) and
NCAF in the harbor seal muscles were 0.81 ± 0.05 and 2.68 ± 0.13, respectively (Table 2). These values are
3 and 2.2 times lower than in dog muscles, respectively, whereas

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The c(K,0) was 1.20 ± 0.04 in the harbor seals, which
was similar to that measured in the dogs (1.23 ± 0.10),
indicating a comparable contribution of tortuosity and branching to
capillary length in the muscles (Table 1). Group mean capillary length and capillary surface per fiber volume in the harbor seals were 1,495 ± 83 mm
2 and 22.4 ± 1.6 mm
1, respectively (Tables 1 and 2). These values were
28% and 34% lower than in the dog.
Because the capillary orientation coefficient was <1.53 in all but one of the samples, the coefficient c'(K',0) was 1, and BB(0) was a direct estimate of capillary-to-fiber surface ratio [SS(c,f)] in those muscles (25). In the superficial medial gastrocnemius muscle of dog D3, the c(K,0) was 1.64 (Table 1), yielding a c'(K',0) = 1.05, i.e., an SS(c,f) value 5% > BB(0) in that muscle. Overall, SS(c,f) was 1.75 times greater in the muscles of dogs than seals.
Table 3 summarizes the data on fiber
ultrastructure in the locomotory muscles of the seals and the hindlimb
muscles of the dogs. The volume density of mitochondria was
significantly greater in the locomotory muscles of harbor seals
(8.1 ± 0.5%) than the hindlimb muscles of dogs (5.9 ± 0.5%, P < 0.01). Figure
2 shows the plot of
JV(c,f) against the mitochondrial volume
density, compared with previous data from rat and bat muscles. The
values of JV(c,f) in harbor seal
locomotory muscles are lower than in the dog over their range of
mitochondrial volume densities. They are also lower than would be
predicted by the regression of JV(c,f) vs. mitochondrial volume density from Mathieu-Costello et al. (27). Capillary length and surface area per unit volume
mitochondria were 1.9 and 2.4 times lower in harbor seals (19.4 ± 1.9 km/ml and 2,463 ± 467 cm2/ml) than in dogs
(35.9 ± 1.7 km/ml and 5,817 ± 202; Table
4).
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The volume of mitochondria per unit length of fiber at 2.1 µm
lo [

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DISCUSSION |
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In this study, we show that the muscles of harbor seals have a
substantially smaller capillary supply than the hindlimb muscles of
dogs of comparable size. Capillary density, length, and surface area
per fiber volume were 30%, 28%, and 34% lower, respectively, in the
muscles of harbor seals than dogs, whereas the contribution of
tortuosity and branching to capillary length was similar in the two
species. Mitochondrial volume per fiber volume was significantly greater in the locomotory muscles of seals, whereas average

The aerobic scope of seals, expressed as multiples of total body oxygen consumption required during maximum muscular effort, is relatively low compared with that of terrestrial mammals. It amounts to less than ten times the resting level whereas that of athletic dogs is 20-30 times (4, 14-16). Cardiac muscle of the seal has fewer mitochondria per gram of tissue, lower respiratory rate, and lower cytochrome content than dog heart (31, 32), which is consistent with the lower maximum oxygen consumption in seals. The results reported here, indicating lesser capillarity in skeletal muscles of the harbor seal, are consistent with the lower aerobic scope but contrary to the enhanced aerobic capacity of the locomotory muscles.
O2 delivery and O2 stores.
In skeletal muscles of terrestrial animals, it has been shown that the
capillary bed is designed primarily to meet fiber oxygen demands
(15, 17, 29) and that capillary supply is directly correlated to the volume density of mitochondria (3, 13, 18, 22,
24, 29). On the basis of this relationship, the swimming muscles
of harbor seals should have a capillary supply comparable to that of
athletic terrestrial mammals of similar size. However, the results of
this study show that there is a mismatch between capillary supply and
fiber oxidative capacity or fiber mitochondrial volume in the skeletal
muscles of seals. To our knowledge, there has only been one other study
that has measured capillary density in muscles of marine mammals
(30). In histochemical preparations, Reed et al.
(30) found even lower values for capillary density,
ranging from 352 capillaries/mm2 in harbor seals to 639 capillaries/mm2 in Antarctic fur seals. Some of the
differences between the two studies could be related to sample
preparation, because Reed et al. used histochemistry of frozen biopsy
material whereas we used perfusion-fixed tissue in this study. In
addition, Reed et al. studied adult free-ranging animals, whereas the
harbor seals in this study were subadults. The



Delivery of substrate. In addition to their role in oxygen delivery, the capillaries also play a role in the delivery of substrates to the active skeletal muscles. Davis et al. (4) found that plasma glucose, lactate, and free fatty acids accounted for only 3, 7, and 18%, respectively, of the ATP produced in harbor seals at rest and only 23% of the total ATP utilized during swimming exercise at 35 and 50% of maximum oxygen consumption. These relative contributions of blood-borne substrates to the energy metabolism of the muscles are very similar to those found in terrestrial animals with submaximal exercise. Capillary supply of oxidative substrates appears to be maximal at 40% of maximal oxygen consumption, and, as exercise intensity increases, the muscles begin to rely more on intracellular stores of substrates, such that at maximum oxygen consumption over 80% of the fuel is supplied by glycogen catabolism (15). A similar situation appears to hold true for harbor seals with one exception. In harbor seals, energy is derived mainly from a lipid-based metabolism, with intramuscular stores of lipids at least one order of magnitude greater than in terrestrial mammals of comparable size and fiber oxidative capacity (16). Assuming a swimming muscle metabolism of approximately two times resting metabolic rate, Kanatous et al. (16) found that the intramuscular stores of energy in harbor seals are sufficient to sustain routine swimming activity for ~11 h. As in terrestrial animals, the majority of oxidative substrates are derived from intramuscular stores as opposed to capillary delivery during exercise; however, the increased intracellular stores of energy in harbor seals compared with terrestrial mammals may reflect the greater reliance of harbor seals on intramuscular stores of substrate during diving.
Adaptations to hypoxia. As mentioned earlier, similarities have been found between high-altitude-adapted animals and marine mammals in terms of possible adaptations in skeletal muscles to maintain aerobic metabolism under hypoxic conditions (9, 10, 16, 19). Studies in terrestrial mammals have documented increases in NN(c,f), myoglobin, and fiber oxidative capacity with chronic exercise at altitude or in normobaric hypoxia, whereas hypoxia alone without concomitant exercise training or chronic exposure to cold does not induce formation of new capillaries in skeletal muscles of adult terrestrial mammals (25). Marine mammals such as the harbor seal, which exercise under the hypoxic conditions imposed by breath-hold diving, do show similar intramuscular adaptations, such as the increased fiber oxidative capacities and myoglobin levels, but they do not have the concomitant increase in capillarity. In contrast to high-altitude animals that function under hypoxic conditions but display the typical exercise response of increasing ventilation and cardiac output, marine mammals exercise under a different form of hypoxic stress. They begin their dives with only a finite amount of oxygen and continue to function and maintain aerobic metabolism with a continually shrinking oxygen supply throughout the entire duration of a dive.
Circulatory perfusion in seals must be adjusted to serve the conflicting functions of oxygen conservation and its consumption required by the skeletal muscles for locomotion. Cardiac function and regional blood flow during diving are regulated by their support for prolonging the dive and whatever exercise is required. The extent of activation of the diving response, consisting of bradycardia, apnea, and limited peripheral perfusion, conflicts with the accompanying metabolic output of locomotory muscles (5). Thus the extent to which the dive response can be invoked is inversely related to the metabolic demand of the skeletal muscles. Oxygen delivery is regulated to optimize the utilization of both blood and muscle oxygen stores so that the mitochondria receive adequate oxygen to maintain aerobic metabolism even under the hypoxic conditions associated with diving. In conclusion, there is a difference in muscle capillary supply between marine and terrestrial mammals with comparable aerobic capacities. The skeletal muscles of harbor seals have a smaller capillary-to-fiber interface and capillary supply per fiber mitochondrial volume than terrestrial mammals of comparable size. This reflects the greater reliance on intramuscular stores of oxygen and substrates in diving mammals compared with terrestrial mammals.| |
ACKNOWLEDGEMENTS |
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We thank Peter Agey, Larnele Hazelwood, Li Wu, Suzy Kohin, Francis C. White, and James Wright for assistance in various aspects of this study.
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FOOTNOTES |
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This work was supported by the National Heart, Lung, and Blood Institutes Grant PO1 HL-17731 and a Grant-in-Aid from the American Heart Association, Alaska Affiliate. Marine Mammal Research Permit No. 543 was issued to R. Elsner by the U.S. National Marine Fisheries Service.
Address for reprint requests and other correspondence: S. B. Kanatous, Dept. of Internal Medicine, Univ. of Texas Southwestern Medical Center, 5323 Harry Hines Blvd., Dallas, TX 75390-8573 (E-mail: kanatous{at}ryburn.swmed.edu).
The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.
Received 9 May 2000; accepted in final form 1 December 2000.
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REFERENCES |
|---|
|
|
|---|
1.
Butler, PJ,
and
Jones DR.
Physiology of diving birds and mammals.
Physiol Rev
77:
837-899,
1997
2.
Cerretelli, P,
and
Hoppeler H.
Morphologic and metabolic response to chronic hypoxia: the muscle system.
In: Handbook of Physiology. Environmental Physiology. Bethesda, MD: Am. Physiol. Soc, 1996, sect. 4, vol. II, chapt. 50, p. 1155-1181.
3.
Conley, KE.
Cellular energetics during exercise.
In: Comparative Vertebrate Exercise Physiology, edited by Jones JH.. New York: Academic, 1994, p. 1-39.
4.
Davis, RW,
Castellini MA,
Williams TM,
and
Kooyman GL.
Fuel homeostasis in the harbor seal during submerged swimming.
J Comp Physiol [B]
160:
627-635,
1991[Medline].
5.
Davis, RW,
and
Kanatous SB.
Convective oxygen transport and tissue oxygen consumption in Weddell seals during aerobic dives.
J Exp Biol
202:
1091-1113,
1999[Abstract].
6.
Elsner, R.
Limits to exercise performance: some ideas from comparative studies.
Acta Physiol Scand Suppl
128:
45-51,
1986.
7.
Elsner, R,
and
Gooden B.
Diving and Asphyxia. Cambridge, UK: Cambridge University Press, 1983.
8.
Guyton, GP,
Stanek KS,
Schneider RC,
Hochachka PW,
Hurford WE,
Zapol DG,
Liggins GC,
and
Zapol WM.
Myoglobin saturation in free-diving Weddell seals.
J Appl Physiol
79:
1148-1155,
1995
9.
Hochachka, PW.
Balancing conflicting metabolic demands of exercise and diving.
Fed Proc
45:
2948-2952,
1986[ISI][Medline].
10.
Hochachka, PW.
Metabolic biochemistry of a mesopelagic mammal.
Experentia
48:
570-574,
1992[ISI][Medline].
11.
Hochachka, PW,
Emmett B,
and
Suarez RK.
Limits and constraints in the scaling of oxidative and glycolytic enzymes in homeotherms.
Can J Zool
66:
1128-1138,
1987.
12.
Hochachka, PW,
Stanley C,
Merkt J,
and
Sumar-Kalinowski J.
Metabolic meaning of elevated levels of oxidative enzymes in high altitude adapted animals: an interpretive hypothesis.
Respir Physiol
52:
303-313,
1982.
13.
Hoppeler, H,
Mathieu O,
Krauer R,
Classen H,
Armstrong RB,
and
Weibel ER.
Design of the mammalian respiratory system. VI. Distribution of mitochondria and capillaries in various muscles.
Respir Physiol
44:
87-111,
1981[ISI][Medline].
14.
Hoppeler, H,
Kayar SR,
Claassen H,
Uhlmann E,
and
Karas RH.
Adaptive variation in the mammalian respiratory system in relation to energetic demand. III. Skeletal muscles set the demand for oxygen.
Respir Physiol
69:
27-46,
1987.
15.
Hoppeler, H,
and
Weibel ER.
Limits for oxygen and substrate transport in mammals.
J Exp Biol
201:
1051-1064,
1998[Abstract].
16.
Kanatous, SB,
DiMichele LV,
Cowan DF,
and
Davis RW.
High aerobic capacities in the skeletal muscles of pinnipeds: adaptations to diving hypoxia.
J Appl Physiol
86:
1247-1256,
1999
17.
Kayar, SR,
Hoppeler H,
Armstrong RB,
Laughlin MH,
Lindstedt SL,
Jones JH,
Conley KR,
and
Taylor CR.
Estimating transit time for capillary blood in selected muscles of exercising animals.
Pflügers Arch
421:
578-584,
1992[ISI][Medline].
18.
Kayar, SR,
Hoppeler H,
Lindstedt SL,
Classen H,
Jones JH,
Essen-Gustavsson B,
and
Taylor CR.
Total mitochondrial volume in relation to aerobic capacity of horses and steers.
Pflügers Arch
413:
343-347,
1989[ISI][Medline].
19.
Kerem, D,
Hammond DD,
and
Elsner R.
Tissue glycogen levels in the Weddell seal: a possible adaptation to asphyxial hypoxia.
Comp Biochem Physiol A Physiol
45:
731-736,
1973.
20.
Leon-Velarde, F,
Sanchez J,
Bigard AX,
Brunet A,
Lesty C,
and
Monge C.
High altitude tissue adaptation in Andean coots: capillarity, fiber type and enzymatic activities of skeletal muscles.
J Comp Physiol [B]
163:
52-58,
1993[Medline].
21.
Lindstedt, SL,
and
Thomas RG.
Exercise performance of mammals: an allometric perspective, in comparative vertebrate exercise physiology.
In: Unifying Physiological Principles, edited by Jones JH.. New York: Academic, 1994, p. 191-217.
22.
Mathieu, O,
Krauer R,
Hoppeler H,
Gehr P,
Lindstedt SL,
Alexander RM,
Taylor CR,
and
Weibel ER.
Design of the mammalian respiratory system. VII. Scaling mitochondrial volume in skeletal muscle to body mass.
Respir Physiol
44:
113-128,
1981[ISI][Medline].
23.
Mathieu-Costello, O.
Comparative aspects of muscle capillary supply.
Annu Rev Physiol
55:
503-525,
1993[ISI][Medline].
24.
Mathieu-Costello, O,
Agey PJ,
and
Normand H.
Fiber capillarization in flight muscle of pigeons native and flying at altitude.
Respir Physiol
103:
187-194,
1996[ISI][Medline].
25.
Mathieu-Costello, O,
Agey PJ,
Wu L,
Szewczak JM,
and
MacMillen RE.
Increased fiber capillarization in flight muscle of finch at altitude.
Respir Physiol
111:
189-199,
1998[ISI][Medline].
26.
Mathieu-Costello, O,
Cruz-Orive LM,
Hoppeler H,
and
Weibel ER.
Estimating length density and quantifying anisotropy in skeletal muscle capillaries.
J Microsc
131:
131-146,
1983[ISI][Medline].
27.
Mathieu-Costello, O,
Szewczak JM,
Logemann RB,
and
Agey PJ.
Geometry of blood-tissue exchange in bat flight muscle compared with bat hindlimb and rat soleus muscle.
Am J Physiol Regulatory Integrative Comp Physiol
262:
R955-R965,
1992
28.
Meng, H,
Bentley TB,
and
Pittman RN.
Myoglobin content of hamster skeletal muscle.
J Appl Physiol
74:
2194-2197,
1993
29.
Poole, DC,
and
Mathieu-Costello O.
Relationship between fiber capillarization and mitochondrial volume density in control and trained rat soleus and plantaris muscle.
Microcirculation
3:
175-186,
1996[Medline].
30.
Reed, JZ,
Butler PJ,
and
Fedak MA.
The metabolic characteristics of the locomotory muscles of grey seals (Halichoerus grypus), harbour seal (Phoca vitulina), and Antarctic fur seals (Arctocephalus gazella).
J Exp Biol
194:
33-46,
1994[Abstract].
31.
Sordahl, LA,
Mueller G,
and
Elsner R.
Comparative functional properties of mitochondria from seal and dog hearts.
J Mol Cell Cardiol
15:
1-5,
1983[Medline].
32.
White, FC,
Elsner R,
Willford D,
Hill E,
and
Merhoff E.
Responses of harbor seal and pig heart to progressive and acute hypoxia.
Am J Physiol Regulatory Integrative Comp Physiol
259:
R849-R856,
1990
33.
Wittenberg, BA,
and
Wittenberg JB.
Transport of oxygen in muscle.
Annu Rev Physiol
51:
857-878,
1989[ISI][Medline].
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