Measurement of glucose (cGlu) and measurement of lactate (cLac) fall with measurement of dissolved oxygen concentration using the Clark electrode into the category of amperometric measurements.

Amperometry, or galvanometry, or polarography (turns out these are not interchangeable terms) is used around this site seemingly interchangeably to describe a sensory process where changes in current are measured ( though it turns out these are not interchangeable terms). As a main reference for this topic, I refer the readers to Nallanna Lakshminarayanaiah's Membrane Electrodes (2012).

The electrode chain in amperometric cells

Unlike the potentiometric electrodes, which measure the change in potential difference which is generated when ions migrate across a membrane, the amperometric chain subjects the migrating ions to a potential difference, and then measures the current which is generated.

The following diagram is a crude reimagining of the formal explanation offered by the Reference Manual for the locally available blood gas analyser.

diagram of an amperometric cell

Thus, the semipermeable membrane selects the solute species of interest, and allows it into the internal electrolyte solution, where it is subjected to a potential difference between the electrodes. Obviously the membrane has to be rather selective - otherwise, who the hell knows what is getting reduced at the cathode. For instance, the Clark electrode makes use of a highly oxygen-selective porous tetrafluoroethylene membrane.

The current flows between the cathode and the anode. The solute species of interest - let's call it A - is oxidised at the anode, losing electrodes and becoming a positively charged cation. Those electrons are consumed at the anode, where another species - let's call it B - is reduced, gaining electrons becoming a negatively charged anion.

anode and cathode diagram for amperometric measurement

The traffic of electrons through the electrolyte generates a current, which can be measured by the ammeter. The current is therefore directly proportional to the amount of electrons generated, which is in turn proportional to the amount of species A reduced.

From this, it might sound as if one might be able to calculate the concentration of species A in the sample, provided the sample equilibrates perfectly with the internal electrolyte solution, and species A gets 100% reduced.

In the absence of Species A, the cell has a weak "zero" current running through it, and the magnitude of this is usually established during calibration. The application of a constant polarisation voltage is responsible for this. With the addition of a sample, molecules of interest begin to migrate across the membrane, and are reduced at the cathode; the current which is generated by this process increases up to a plateau, which represents an equilibrium (i.e. the rate of reduction and oxidation is in equilibrium with the rate of substrate delivery). The current which is generated at this plateau is proportional to the concentration of the substrate.

Amperometric measurement current over time graph

Then, it is a matter of relating the measured change in the current to some sort of sensitivity standard, to calculate the concentration of the substrate. The local unit uses the following equation:

equaition relating current to concentration in amperometry

The change in current is divided by a certain "sensitivity denominator", which is calculated from calibration measurements. The ABG machine regularly runs its electrodes in a calibration solution which contains a known amount of the substance in question; the current generated by this substance is divided by the known concentration to arrive at a sensitivity value, which represents current change per mmol of substance. Because each electrode gradually degrades in sensitivity due to various ageing processes, regular calibration is required and the sensitivity value must be constantly updated. For instance, in the case of the E7066 glucose electrode, this value can vary from 100 to 1800 picoamps per mmol.

References

Device-specific information in all these ABG pages refers to the ABG machine used in my home unit.

Other machines may have different reference ranges and different symbols.

For my ABG analyser, one can examine this handy operations manual.

There is also an even more handy reference manual, but one needs to be an owner of this equipment before one can get hold of it. Its called the "989-963I ABL800 Reference Manual"

Lakshminarayanaiah, Nallanna. Membrane electrodes. Elsevier, 2012.