MCHC Calculator (Mean Corpuscular Haemoglobin Concentration)

MCHC Calculator (Mean Corpuscular Haemoglobin Concentration)

Calculate MCHC from haemoglobin and haematocrit, and learn why a genuinely high result is rare enough to demand a blood film first.

MCHC

Haemoglobin concentration
32.9g/dLExample

Haemoglobin 12.5 g/dL, haematocrit 38%

Formula

MCHC = Hb (g/dL) ÷ Hct (%) × 100
Hb
haemoglobin concentration in g/dL
Hct
haematocrit, the packed red cell volume as a percentage of whole blood
result
g/dL — the average haemoglobin concentration within the red cell mass, independent of how many cells or how big they are

Worked example

Haemoglobin 12.5 g/dL, haematocrit 38%
12.5 ÷ 38 = 0.32895
0.32895 × 100 = 32.9 g/dL

High MCHC — genuine versus analytical

CauseGenuine or analyticalMechanism
Hereditary spherocytosisGenuineLoss of membrane relative to cell volume concentrates haemoglobin
Autoimmune haemolytic anaemia with spherocytesGenuinePartial membrane loss to splenic macrophages produces spherocytes
Cold agglutinin diseaseBothRed cell clumping falsely lowers RBC and falsely raises both MCV and MCHC
Lipaemia, marked hyperbilirubinaemiaAnalyticalInterferes with spectrophotometric haemoglobin measurement
Very high white cell countAnalyticalTurbidity from white cells is read as extra haemoglobin
In-vitro haemolysisAnalyticalFree haemoglobin is measured but the cell count denominator has already fallen
Most causes on a laboratory report are analytical, not biological. Warming the sample and re-running it resolves cold agglutinin interference.

Why a high MCHC is a prompt to look, not a diagnosis

MCHC expresses haemoglobin concentration within the red cell mass rather than the mass or volume of an individual cell, and there is a physical ceiling on how concentrated haemoglobin can be before it crystallises within the cell. That ceiling makes a genuinely high MCHC uncommon, and its differential is correspondingly short: hereditary spherocytosis, autoimmune haemolytic anaemia with spherocytes, and cold agglutinin disease. In each, the red cell has lost surface membrane relative to its haemoglobin content — a spherocyte is a smaller sphere carrying the same haemoglobin as the biconcave disc it was made from, so the concentration rises.

Before accepting a high MCHC as biological, the analytical causes need to be excluded, because they are more common than the genuine ones. Lipaemia, marked hyperbilirubinaemia and a very high white cell count all interfere with the spectrophotometric measurement of haemoglobin and inflate the numerator. In-vitro haemolysis releases free haemoglobin while the red cell count denominator has already fallen, which raises the ratio without any true change in the patient. Cold agglutinins cause the red cells to clump in the counting chamber, which the analyser reads as fewer, larger cells — falsely lowering the RBC and falsely raising both MCV and MCHC simultaneously, a pattern that is a useful clue in itself. An MCHC above about 36.5 g/dL should prompt a look at the sample for clots or clumping and a blood film for spherocytes, not an immediate diagnosis of haemolysis.

Frequently asked questions

What does a high MCHC mean?

Most often an analytical artefact — lipaemia, marked hyperbilirubinaemia, a very high white cell count, in-vitro haemolysis, or cold agglutinin clumping. Genuine causes are hereditary spherocytosis, autoimmune haemolytic anaemia with spherocytes, and cold agglutinin disease.

Why is a genuinely high MCHC rare?

There is a physical limit to how concentrated haemoglobin can be within a red cell before it crystallises, so true hyperchromia only occurs when the cell has lost membrane relative to its haemoglobin content, as in spherocytosis.

What does cold agglutinin disease do to MCHC?

The agglutinins clump red cells together, which the analyser miscounts as fewer, larger cells. This falsely lowers the RBC and falsely raises both MCV and MCHC. Warming the sample before re-running it usually corrects the artefact.

At what MCHC should I request a blood film?

Above roughly 36.5 g/dL. Check first for an obvious analytical cause — lipaemia, jaundice, a very high white count, or clumping — then examine the film for spherocytes before considering a haemolytic diagnosis.

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References

  1. Hoffbrand AV, Steensma DP. Hoffbrand’s Essential Haematology. 8th ed.
  2. Bain BJ. Diagnosis from the blood smear. N Engl J Med. 2005;353(5):498–507.