Table Of ContentADVANCES IN PHYSIOLOGICAL  SCIENCES 
Proceedings  of the 28th International  Congress of Physiological  Sciences 
Budapest  1980 
Volumes 
1  Regulatory Functions of the CNS. Principles of Motion and Organization 
2  Regulatory Functions of the CNS. Subsystems 
3  Physiology of Non-excitable Cells 
4  Physiology of Excitable Membranes 
5  Molecular and Cellular Aspects of Muscle Function 
6  Genetics, Structure and Function of Blood Cells 
7  Cardiovascular Physiology. Microcirculation and Capillary Exchange 
8  Cardiovascular Physiology. Heart, Peripheral Circulation and Methodology 
9  Cardiovascular Physiology. Neural Control Mechanisms 
10  Respiration 
11  Kidney and Body Fluids 
12  Nutrition, Digestion, Metabolism 
13  Endocrinology, Neuroendocrinology, Neuropeptides — I 
14 
Endocrinology, Neuroendocrinology, Neuropeptides - II 
15 
Reproduction and Development 
16 
Sensory Functions 
17 
Brain and Behaviour 
18 
Environmental Physiology 
19 
Gravitational Physiology 
20 
Advances in Animal and Comparative Physiology 
21 
History of Physiology 
Satellite  symposia  of the 28th  International  Congress  of Physiological  Sciences 
22  Neurotransmitters in Invertebrates 
23  Neurobiology of Invertebrates 
24  Mechanism of Muscle Adaptation to Functional Requirements 
25  Oxygen Transport to Tissue 
26  Homeostasis in Injury and Shock 
27  Factors Influencing Adrenergic Mechanisms in the Heart 
28  Saliva and Salivation 
29  Gastrointestinal Defence Mechanisms 
30  Neural Communications and Control 
31  Sensory Physiology of Aquatic Lower Vertebrates 
32  Contributions to Thermal Physiology 
33  Recent Advances of Avian Endocrinology 
34  Mathematical and Computational Methods in Physiology 
35  Hormones, Lipoproteins and Atherosclerosis 
36  Cellular Analogues of Conditioning and Neural Plasticity 
(Each  volume  is available  separately.)
ADVANCES  IN 
PHYSIOLOGICAL  SCIENCES 
Satellite Symposium of the 28th International Congress of Physiological Science* 
Budapest, Hungary 1980 
Volume 25 
Oxygen Transport  to  Tissue 
Editors 
A. G.  B.  Kovach 
Budapest,  Hungary 
E.  Dora 
Budapest,  Hungary 
M.  Kessler 
Erlangen,  FRG 
I. A.  Silver 
Bristol,  England 
PERGAMON  PRESS  AKADEMIAI  KIADO
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HUNGARY  Akademiai Kiado, Budapest, Alkotmany u. 21. 
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Copyright © Akademiai Kiado, Budapest 1981 
All rights  reserved.  No part  of this publication  may  be  reproduced, 
stored  in a retrieval  system  or transmitted  in any form  or by  any 
means:  electronic,  electrostatic,  magnetic  tape,  mechanical,photo-
copying,  recording  or otherwise,  without  permission  in  writingfrom 
the  publishers. 
British Library Cataloguing in Publication Data 
International Congress of Physiological Sciences. 
Satellite  Symposium  (28th  : 1980  :  Budapest) 
Advances in physiological sciences. 
Vol. 25: Oxygen transport to tissue 
1. Physiology - Congresses 
I. Title  II. Kovach, A. G. B. 
591.1  QP1  80-42249 
Pergamon Press  ISBN 0 08 026407 7 (Series) 
ISBN 0 08 027346 7 (Volume) 
Akademiai Kiado  ISBN 963 05 2691 3 (Series) 
ISBN 963 05 2751 0' (Volume) 
In order  to  make  this  volume  available  as  economically  and  as 
rapidly  as possible  the authors''  typescripts  have been reproduced  in 
their original  forms.  This method  unfortunately  has its  typographi-
cal limitations  but it is hoped  that they in no way distract  the  reader. 
Printed  in  Hungary
PREFACE 
The Fourth  Symposium on Oxygen Transport to Tissue, as a Satellite 
of  the  28th  International  Congress  of  Physiological  Sciences  organized 
by IUPS, was held in Budapest between July 9 and 11, 1980. This volume 
contains  those  papers  which  were  presented  at the Symposium,  together 
with the essential discussions that followed. 
The Organizing Committee of the Symposium put particular emphasis 
on the following topics: heterogeneities and 0  transport; autoregulation of 
2
blood flow and 0  delivery; oxygen transport and organ function; rheology 
2
and 0  transport. We have been most  fortunate  to  have outstanding con-
2
tributors  for  the  individual  presentations  and  to  have  most  stimulating 
discussions. 
Our special  thanks are due to Mrs Ilona Erdei, Miss Klara Szuchanek, 
Mrs Elza Papp and Mrs Leona Vasas of the Experimental Research Depart-
ment  and  2nd  Institute  of  Physiology,  Semmelweis  Medical  University, 
Budapest,  Hungary, whose help was invaluable in the organization of  the 
meeting. 
A. G. B. Kovach 
E. Dora 
M. Kessler 
I.A.  Silver 
xiii
Adv. Physiol. Sci. Vol. 25. Oxygen  Transport to Tissue 
A. G. B. Kova'ch, E. Ddra, M. Kessler, /. A. Silver  (eds) 
TISSUE  OXYGEN  SUPPLY  AND  CRITICAL 
OXYGEN  PRESSURE 
D.  W.  Lubbers 
Max-Planck-1nstitut  fur Systemphysiologie,  Rheinlanddamm  201,  4600  Dortmund  1, FRG 
Recently it has been questioned whether it is still sensible to use the 
term "critical oxygen pressure" as an essential parameter to describe 
tissue hypoxia or anoxia. In the following I like to show the usefulness 
but also the limitation of this expression. Since the expression was coined 
from physiological experiments I will begin to discuss these physiological 
results. 
It is well known that for the whole animal as well as for the isolated 
organ in a certain range the  consumption, vo, is independent of the 
2
offered by the respired gas mixture or by the arterial blood (see for ex-
ample 19, 15, 4). When oxygen is reduced below this range a reaction 
threshold is reached and compensatory mechanisms are put into action to 
maintain the 0  consumption - and thus the energy consumption - at the 
same level. But there is a point at which the compensatory mechanisms 
are exhausted: This state can be called "critical threshold or critical 
state of oxygen supply" or simply "critical oxygen supply". It means, 
in this state the oxygen supply limits the oxygen consumption. The situa-
tion of a critical  supply has been studied so extensively that it is 
impossible to review or even mention the main experimental work; instead 
of that, I shall discuss some examples to elucidate our problem. In the 
earlier experiments the different criteria for a sufficient oxygen supply 
that were applied, were: 1) oxygen consumption, 2) lactate balance, and 
3) functional state. As later on measurements of tissue concentrations 
became possible, the tissue concentration of lactate, pyruvate and adenine 
nucleotides or a relationship such as the lactate/pyruvate ratio, the 
phosphate potential or the energy charge (see Siesjo, 1978) were used. 
1) The  consumption criterion was used by Stainsby (1966). He measured 
the dependence of the  consumption of dog skeletal muscles (mm. gastro-
cnemius - plantaris) on the arterial Po , P o . The critical situation of 
oxygen supply was produced by reducing p02*  occurred during rest at 
a
a P o of 8 kPa (60 mm Hg) and a P o  of 3.33 kPa (25 mm Hg) and daring 
2
worS at a p_09 of  kPa  (50 ^  ^gj and a  of  1,33  kPa  (l0 ^  H<?) • 
Although the 6  consumption during work was 8 times higher than during 
rest (40 ,ul 0/g . min as compared to 5 ,ul  . min), the blood Po
2 2 
values during work were smaller. This difference can be explained by the 
increased number of perfused capillaries in the working muscle which re-
duce the supply area of a single capillary, and by the increased flow. The 
experiments demonstrated the strong influence of flow and capillary geo-
metry. 
3
2) The lactate balance criterion was used by Bretschneider  (1958). He meas-
ured the arteirio-venous lactate difference of the dog heart muscle. As long 
as the  supply of the heart muscle was sufficient, lactate was consumed. 
Insufficient oxygen supply was accompanied by lactate production. Bret-
schneider showed that the transition point from lactate consumption to 
lactate production could be related to the magnitude of the venous Po^, 
independent of the way by which the critical oxygen supply was produced. 
He found in normal dogs  (vo = 150 ,ul 0 /g . min) the transition point 
2
was at about P  =0.8 kPa  (6 mm Hg). At an  consumption reduced to a 
third  (vo = 5$ - 80,ul 0 /g . min) it was reduced to a  V^o^  =0.26  kPa 
2
(2 mm Hg) and at doubled  6^  consumption  (vo  =  300 ,ul  ' min)  ifc  w as 
increased to 1.87 kPa  (14 mm Hg). These different transition points are 
in accordance with the changes of flow and tissue respiration. 
3) The functional state criterion for  supply was used by Opitz and 
Schneider  (1950) in their review and analysis of the oxygen supply of the 
brain. They found that the functional state can be at best correlated with 
the venous Po^ in the sinus sagittalis. The normal P o^ of 4.53 kPa  (35 
mm Hg) can decrease to ca 3.73 kPa  (28 mm Hg) withou? any detectable 
reaction but with a further decrease in P o  blood flow increases to 
maintain the P o  close to this level. Further reduction of P o  shows 
first signs of changes in the ECG and in man higher mental functions are 
impaired. The critical oxygen supply is reached when the P o  becomes 
smaller than 2.53 - 2.27 kPa  (19 - 17 mm Hg). Under this condition man 
looses consciousness. The changes, however, are still reversible. They 
become irreversible when  V^o^  is lowered to 1.6 kPa  (12 mm Hg) over a 
certain period of time. 
The direct tissue measurements of lactate and adenine nucleotides corrobo-
rate these results  (17). These examples show the complexity of our system 
but they also demonstrate that there is a definite state at which a criti-
cal  supply is reached. The occurrence of a critical 0  supply is in-
fluenced by many parameters but the venous Po^  - and not the venous O 
content - seems to be an important indicator of tissue oxygen supply. How 
can this be explained: It can be easily deduced from the physiological  laws 
of oxygen supply, which concern 1) the 0^ transport by blood 2) the 0^ 
transport by diffusion and 3) the behavior of tissue oxygen  consumption. 
1) 0^ transport by blood 
The amount of oxygen which can be supplied to the tissue depends on a) the 
oxygen content of blood, Co^, and b) blood flow, 6. 
a)  Oxygen content of blood. Under physiological conditions the main amount 
of oxygen is chemically bound to hemoglobin 
Co(c.hem) = 1. 34 . c  . So
2 Rb 2 
c  , concentration of hemoglobin in g/dl; So^, fractional oxygen saturation; 
1.J4, ml 0^ per g hemoglobin. 
and only a small amount of oxygen is physically  dissolved 
Co(phys) =  a  . Po
2 p 2 
a  0  solubility coefficient of plasma. 
p/ 2
Thus the total amount of oxygen 
Co(blood) = Co(chem) + Co(phys) 
2 2 2
depends essentially on the hemoglobin concentration and the fractional 
0  saturation. The fractional 0  saturation depends on the blood Pc^- This 
2
dependence is described by the 0  dissociation curve. 
o
4
b)  Effect of flow. The 0  content of the arterial blood is offered and 
delivered to the tissue. In steady state the difference between the 0 
content of arterial and venous blood, the AVDo  times blood flow corre-
2
sponds to the tissue  respiration 
(Ca°2 - Cv°2)  • B  = Y°2 
AVDo
2 
It is important to note that with constant tissue respiration the AVDo  is 
2
a hyperbolic function: that means that small flow changes are very effec-
tive in offering more 0^ or in reducing the 0  supply, whereas at high flow 
the same absolute change has practically no effect. 
2) (X, transport by diffusion 
The oxygen transport within the tissue is mainly performed by diffusion. 
The parameters, which govern the diffusion process can be easily seen from 
the diffusion equation for a simple  layer 
D, diffusion coefficient; x, thickness of diffusion  layer. 
The C> flux, Io2' depends a) on the oxygen conductivity  (D .  ) and b) on 
2  a
the Po  gradient,  A Vo^/&  x. 
a) In the product  (D .a ) D determines the "spged" with which the molecules 
travel - according to equation s  = 6 D . t, s  is the square of the mean 
distance which the molecule travels during time t - and a gives the number 
of molecules which actually travel. The oxygen conductivity  (D .a ) char-
acterizes the individual property of the tissue; it increases with  temper-
ature as well as with content of water and lipids, but under normal physi-
ological conditions its variation is only small. 
b) The Po  gradient is the important factor for the 0^ transport. We  should 
mention that fo£ diffusion of gases the oxygen pressure is the driving 
force and not the oxygen content. This is especially important for systems 
with varying values of  a . The importance of the oxygen pressure for the 0^ 
transport in the tissue explains why the critical oxygen supply could be 
correlated to the venous oxygen pressure and not to the venous oxygen 
content of the blood. 
Two other important factors which influence the diffusion are c) the 
consumption and d) the distances over which the oxygen has to be trans-
ported. The influence of these factors can be shown in a simple model 
consisting of a capillary which supplies oxygen to the surrounding  cylin-
drical space  (Krogh model  (8)) 
with 
z 
c, capillary; t, tissue; z, cylinder. 
This Krogh-Erlang equation shows that 
c) the 0  consumption is linearly related to the oxygen pressure  difference. 
2
5
APo  , which is necessary to transport the oxygen into the tissue and that 
d) the geometry enters as approximately a squared function. This explains 
rhat in the resting muscle with a few open capillaries and consequently a 
large supply area a higher capillary Po is necessary to supply the tissue 
2
with oxygen than in the working muscle. 
Fig. 1 
Calculated Po^ profile in resting and working skeletal muscle 
Fig. 1 shows the calculated Po^ decrease in skeletal muscle assuming  accord-
ing to Stainsby  (1966) a radius of r  = 80,um in resting and of r  = 18 .urn 
in the working state. One sees that the A £o„ of 1.8 kPa  (13.5 mm Hg) in 
the resting state is larger than the A Po  of 0.35 kPa  (2.6 mm Hg) in the 
working state. In spite of an 8 times smaller 0^ consumption, the about 
4 fold increase in radius  (from IS to QO .urn) produces a Po  decrease  about 
5 times larger in the resting than in the working muscle. Since in the 
resting state the total amount of oxygen which has to leave a single capil-
lary is larger than that in the working state, the Po^ gradient in the 
neighborhood of the capillary is much steeper in the resting state than 
in the working state. This demonstrates directly how efficient the re-
duction of the radius of the tissue cylinder is in regard to the tissue 
oxygen  transport. 
3) Behavior of tissue oxygen  consumption 
The main consumer of oxygen is oxidative phosphorylation. The  reactions 
involved are thoroughly discussed in other papers. For our point of view 
it is important to note that the mitochondria with their respiratory  chains 
are perfect oxygen sinks. Under normal physiological conditions each mole-
cule of oxygen which meets the mitochondria reacts with the  cytochrome 
oxidase if ATP is needed so that the oxygen concentration becomes zero. 
This means that the total capillary Po is available for the oxygen trans-
2
port. 
With isolated mitochondria it has been shown  (5, 2) that down to Po
2 
values of 0.0027 kPa  (0.02 mm Hg) the respiratory rate can remain un-
changed. This corresponds to an oxygen concentration of about 0.033,uM  in 
the medium; in lipids the actual concentration may be somewhat larger be-
cause of the higher  a. Below this Po  value the 0  consumption decreases. 
6
With isolated mitochondria we could titrate the redox state of cytochrome 
aa  by adding stepwise very small amounts of oxygen  (21,12). 100% oxida-
tion was reached at Po  values in the medium of ca. 0.008 kPa  (0.06  +0.07 
mm Hg; n = 20), a Po  value hardly detectable by a Platinum electrode. 
These low critical Po values measured by the Pt electrode in steady state 
2
could not be detected in kinetic measurements  (20). Here the redox state 
of cytochrome aa  changed at Po^ values in the range between 0.2 kPa -
0.93 kPa  (1.5 - 7 mm Hg). Whereas in steady state experiments a good re-
producibility could be achieved, the same was not possible in kinetic ex-
periments. This may have been caused by methodological artifacts: 
1) Because of the finite response time of the Pt electrode the Po  tracing 
of the electrode runs behind the true Po of the medium and thereby falsi-
2
fies the true signal: the reading of the electrode is too high  (and too 
late). 
2) The observed kinetics depends not only on the kinetics of the respira-
tory chain but also on the response time of the electrode. 
3) Furthermore, it cannot be excluded that the mitochondria of the cells 
have a fixed layer of medium which also would delay the electrode signal. 
The exact determination of the critical Pc^' i#e'  the deviation from linea-
rity, which indicates the change in respiratory rate, is diffucult since 
the respiratory rate is not always sufficiently constant. For example, in 
a test (n = 180) only about 50% of all curves showed a normal  statistical 
scatter of the respiratory rate  (16). In all other cases systematic devia-
tions of the respiratory rate occurred; often - but the opposite is also 
possible - the respiratory rate descreased slightly down to lower Po
2 
values, in this case the point of deviation is found to be different with 
a large Po range from that found with a small one: With large ranges the 
2
critical Po was found between 1.87 and 1.47 kPa  (14-11 mm Hg) and with 
2
small ranges only between 0.4 and 0.13 kPa  (3 - 1 mm Hg). Similar data 
( 2o, 21, 12,) were found with liver, kidney and ascites tumor cells and 
their corresponding mitochondria. The variation of the respiratory rate 
was somewhat substrate-dependent. This points to the fact that constant  0
2 
consumption and the entrance of limitations at the same Po  level can only 
2
be expected if the energy need and substrate supply remain unchanged.  That 
is obviously not always the case. 
In general, then, our analysis suggests that in hypoxic tissue the region 
with normal oxygen supply is surrounded by a zone of hypoxia in which the 
0  concentration limits the 0  consumption. Under this condition the cri-
2 2
tical 0  supply is determined by the critical capillary Po  which is 
2
reached when in the periphery of the tissue the critical mitochondrial Po 
is reached. 
As already mentioned from tissue experiments it has been determined that 
with decreasing 0  supply at first a reaction threshold is reached at which 
2
for example blood flow increases before a critical state of oxygen  supply 
occurs. This leads to the important question of whether or not these re-
actions are caused by local critical hypoxia  (Hypoxia hypothesis  15, 22). 
We tried to answer this question experimentally. The Krogh-Erlang  equation 
shows that local tissue Po mirrors the capillary Po, oxygen  conductivity, 
2 2
tissue respiration and geometry, i.e. the local balance between oxygen 
supply and oxygen consumption (lO). 
7
frequency 
n = 2010,  6 exp. 
20-
ion 
0  6 11 16 21 26 31 36 41U6B1 56 61 66 71 76 81 86 91 
I 5  M0I15I20I25I30I35U0IA5I50I55I60I65I70I75I8OI85I90I95 
ven. PO2  PO2 I mm Hg 
Fig. 2 
Pc>2 histogram of guinea pig brain 
Fig. 2  shows for example the normal Po^ histogram of a brain  (guinea pig, 
light barbiturate anesthesia)  (9). As expected, the local Po^ varies con-
siderably. It is interesting that 5% of all Po^ values are in the lowest 
class. In this class values very close to zero  (and sometimes not distin-
guishable from zero) are often found, without any sign of hypoxia. With Po^ 
needle electrodes  (3) it is sometimes difficult to ascertain the exact zero, 
but using membrane covered multiwire electrodes  (7) it has been verified 
that these low Po^ values occur in normal tissue. The Po^ histogram also 
shows that many tissue Po^ values are much lower than the venous Po^ of 
4.53 kPa (34 mm Hg). This points to the fact that the capillary network of 
the tissue is much more complicated than assumed in the Krogh model.  It 
is known that capillaries have different lengths and consequently with the 
same pressure gradient they must have different flow velocities. 
Fig. 3  shows histograms of Po^ and of mean flow velocity from the surface 
of a beating cat heart  (18). With air respiration the Po  histogram of the 
heart muscle is shifted more to the right than that of the guinea pig brain. 
The histogram of mean velocities measured by  - pH  clearance  (13) shows 
large differences in mean flow velocities. This is understandable if one 
takes into account that the lengths of the capillaries in heart muscle vary 
between 100 and 800,10311 with the maximum fraction having a length of 400.um. 
These different capillaries will have different Po^ profiles and thus tne 
venous Po  is a mixture of the different capillary venous Po^ values. 
Consequently, the absolute value of the mixed venous Po  is not related in 
a simple way to anoxic or hypoxic zones as assumed in the Krogh model. 
Therefore, one needs very local methods such as the Po^ histogram to detect 
such changes. To answer our question we found that flow velocity changed 
despite no detectable anoxic Po^ values in tissue.  We can therefore 
assume that at decreasing 0  supply in the tissue a signal is produced 
which has nothing to do with the critical state of oxygen supply which 
concerns the energy need. What kind of signal that may be - whether a single 
8