the rate - limiting step? Nowadays one would want to know the fl ux control
coeffi cients for each step/enzyme.
The K
m
of isolated cytochrome oxidase (absence of Δ μ
H
) for oxygen has been
estimated to be in the micromolar range, and an apparent K
m
for oxygen in iso-
lated mitochondria has been measured to be in the same range, or even signifi -
cantly lower (differing in tightly coupled mitochondria from uncoupled
mitochondria). It is believed that most cells have oxygen concentrations far
above these values, although steep gradients within tissues may exist or be
created temporarily. Most likely, however, oxygen is not a rate - limiting sub-
strate in mammalian tissues. Different considerations may apply when anoxia
is encountered as a result of injuries. In several tissues (brain, liver, kidney), res-
piration has been measured under conditions when the oxygen supply was far
below the physiological levels. Initial rates of oxygen consumption were normal,
but a subsequent decline was observed, probably due to secondary effects.
Looking at the beginning of the scheme, one may ask whether the supply
of NADH is ever a rate - limiting factor. With isolated mitochondria in vitro ,
such conditions can be created easily, but under physiological conditions in
vivo it is less certain whether NADH is in short supply. (This statement may
not apply to microorganisms such as yeasts, molds, fungi, and so on, where
environmental conditions are likely to include periods of starvation.) The
electron transport chain is limited by the intrinsic rate of electron transfer
between the various centers, and it cannot be “ pushed ” by supplying excess
NADH. At any rate, this substrate cannot by supplied directly. Instead, sub-
strates such as β - hydroxybutyrate or succinate are added to isolated mitochon-
dria; cells or tissues can be given glucose. As will be discussed elsewhere in
this volume, there are elaborate feedback mechanisms that can shut down the
Krebs cycle when NADH levels rise above a threshold.
The parameters discussed up till now have been the immediate substrates
of oxidative phosphorylation: NADH, ADP, P
i
, protons, and oxygen. So far,
their infl uence on respiration and oxidative phosphorylation has been viewed
as a mass - action effect in a system of constant cycling. NADH is re - supplied
by many diverse reactions that are individually regulated at various levels, and
the ADP supply appears to depend on the biological work performed by the
cell. Protons exert an effect because they are substrates of vectorial reactions
operating near equilibrium. One can now ask whether the specifi c activity of
the individual complexes can be modulated by various potential effectors —
Ca
2+
ions, free fatty acids, hormones, adenine nucleotides — or even by protein
phosphorylation and associated allosteric mechanisms.
Cytoplasmic calcium levels are controlled by extracellular signals such as
hormones and growth factors, and most prominently by electrical signals in
the case of muscle. Mitochondria have an electrogenic uniporter for import
and a Ca
2+
/Na
+
exchanger for effl ux (316, 317) which keep the matrix concen-
tration of Ca
2+
in the range of 100 nM to 1 μ M. Increases in free Ca
2+
are
thought to stimulate various dehydrogenases in the Krebs cycle; pyruvate
dehydrogenase may be stimulated indirectly by Ca
2+
by a conversion to the
CONTROL OF RESPIRATION AND OXIDATIVE PHOSPHORYLATION 263