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Rate of Cellular Respiration as a Function of Temperature and Cell Type

temperature (K)
315
time (sec)
0.2
cell type
intestine
eye
white blood
rate = 1471.87 (amol/cell per sec)
oxygen
water
intestine cell
eye cell
white blood cell
While all cells respire to produce energy in the form of ATP, they do not function at the same rate. The rate of cellular respiration depends on the cell type, as well as on various other factors such as temperature. The relationship between temperature, cell type and the rate of cellular respiration for a cell can be represented by a modified Arrhenius equation:
r=
r
0
exp
E
0
R
1
T
0
-
1
T
,
where
r
0
is the rate constant for a given cell,
T
0
is the temperature at which the
r
0
value was measured (in this case, 298 K),
R
is the gas constant 8.3145 J
-1
mol
-1
K
,
T
is the temperature and
r
is the resulting rate for the given
T
.
In the graphic, the rates of respiration as a function of cell type and temperature are represented by exponential plots. Also shown is an animation of the cell with oxygen input and water output from mitochondria, scaled by the relative rates. Oxygen consumption can be used as a proxy for the rate of cell respiration, in view of the simplified chemical equation:
O
2
+4
-
e
+4
+
H
2
H
2
O.
The
r
0
values have been selected based on data from the measurement of oxygen consumption/protein production. The movement of other reactants and products through the cell, other intermediates and substrates, is neglected.
For best viewing, we suggest manipulating the temperature slider, then moving the time slider.
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