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. 2007 Oct;5(4):227–240. doi: 10.2450/2007.0047-07

Table VI.

Instructions to calculate the number of antibody molecules bound per cell, when the equilibrium constant and the total concentration of the antibody are known

Cell Text to be entered
A1 Number of antibody molecules bound per cell, when the equilibrium constant and the total concentration of the antibody are known
A3 Volume of serum/plasma (μL)
A4 Volume of RBC suspension (μL)
A5 [RBC] (%)
A6 Volume of diluent/potentiator (μL)
A7 Antigen sites per cell
A8 Equilibrium constant
A9 Total antibody concentration (mol/L)
A10 Avogadro’s number
A12 Number of RBC per litre
A13 Total antigen concentration (mol/L)
A14 First solution
A15 Second solution
A16 Antigen-antibody complex concentration (mol/L)
A17 Free antibody concentration (mol/L)
A18 Bound antibody (%)
A19 Number of antibody molecules bound per cell

Value to be entered

B3 The volume of serum/plasma in the test system (μL), e.g. 25
B4 The volume of the RBC suspension (μL), e.g. 50
B5 The concentration of the RBC suspension (%), e.g. 0.8
B6 The volume of the diluent/potentiator (if not included in the RBC suspension) (μL), e.g. 0
B7 The number of antigen sites per cell, e.g. 12,000
B8 The equilibrium constant, e.g. 2E8
B9 The total antibody concentration (mol/L), e.g. 6.63E-11
B10 Avogadro’s number: 6.022E23

Formula to be entered

B12 =B5/100*B4/(B3+B4+B6)* POWER (10,13)
B13 =B7*B12/B10
B14 =(B13+B9+1/B8)/2+ POWER (POWER ((B13+B9+1/B8)/2,2)-B13*B9,0.5)
B15 =(B13+B9+1/B8)/2- POWER (POWER ((B13+B9+1/B8)/2,2)-B13*B9,0.5)
B16 =IF(OR(B14>B9,B14<0),B15,B14)
B17 =B9-B16
B18 =B16/B9*100
B19 =B16*B10/B12