Biomedical Engineering Reference
In-Depth Information
is used to fuel the Na-K pump at rest. This pump is vital to maintain the cell's resting mem-
brane potential. In this section, we focus on the enzyme reactions. The Na-K pump was dis-
covered by Jens Skou in 1957, who subsequently received a Nobel Prize for his work in 1997.
Using radioactive ions, Skou showed that the concentrations of the ions are interdependent,
implying the involvement of a common mechanism using an ATP-ase carrier.
The overall reaction for the Na-K pump is given by
Na i þ
K o !
ATP ase
Na o þ
K i
ATP þ
3
2
ADP þ P i þ
3
2
where the subscripts
i
for inside the cell and
o
for outside the cell are used as before.
Na þ binding sites and 2
K þ binding sites in its two conformations. There
The pump has 3
Na þ outside the cell than inside and a higher concentration of
K þ inside the cell than outside; left unchecked by the pump, this gradient would drive
Na þ into the cell and
is a higher concentration of
K þ out of the cell, and thus change the resting membrane potential.
Any change in the concentration gradient of K þ and Na þ is prevented by the Na-K pump.
The pump transports a steady stream of Na þ out of the cell and K þ into the cell.
The Na-K pump uses six steps to move 3
K þ ions into the
cell at a total cost of 1 ATP molecule. Figure 8.22 illustrates the six steps that are continually
repeated at a rate of 100 s 1 :
1. Three
Na þ ions out of the cell and 2
Na i
ions in the cytosol move into and bind to the carrier in the pump,
ð
Þ i :
Na
C
3
Note that the pump has a bound ATP molecule.
2. ATP is hydrolyzed. ADP is released, and the inorganic phosphate,
P,
binds with
ð
Na
C
Þ i
3
.
3. Using the energy gained by the hydrolyzation, a conformational change occurs in the
pump that moves
to create
ð
Na
CP
Þ i
3
Na o
ð
Na 3 CP
Þ o
to the outside of the cell membrane, exposing
ions to the
Na o
ions exit the pump.
4. On the outside of the cell, 2
outside. The 3
K o
ions then bind to the carrier and inorganic phosphate in
.
5. Dephosphorylation of the pump occurs, releasing the inorganic phosphate. Following
this, a conformational change occurs in the pump that moves
the pump, creating
ð
K 2 CP
Þ o
K i
ð
K 2 C
Þ i
, exposing 2
ions
to the inside of the cell.
6. ATP binds to the pump, and the 2
K i
ions are released into the cell.
The following equations list the reactions that describe the Na-K pump, where
C
is the
carrier and
is the inorganic phosphate. Note that we have eliminated the reverse reactions
as they are relatively small.
P
K 1
!
ATP i
K 2
Na i þ C i !
3
ð
Na 3 C
Þ i
K 3
ð
Na 3 C
Þ i þ ATP i !
ð
Na 3 CP
Þ i þ ADP i
K 4
K 5
Na o þ C ð o
ð
Na
CP
Þ i !
ð
Na
CP
Þ o !
3
3
3
K 6
K 7
K o !
C ð o þ
2
ð
K
CP
Þ o !
P i þ K
ð
C
Þ i
2
2
K 8
K i þ C i
ð
K
C
Þ i !
2
2
K 9
ADP i !
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