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. 2014 Apr 23;4:4763. doi: 10.1038/srep04763

Table 2. Results from error propagation calculation for C1 and α. Column 1 shows the mean values of C1 and α calculated from the mean values of S1 (aTSC) and S2 (aISC) over 5 volunteers and for typical mean values of C2 (extracellular/CSF sodium concentration) and w (water fraction) in healthy brain tissue. Uncertainties (standard deviations - std) in the estimation of C1 and α were calculated for typical and extreme variations of C2 and w, and for std of S1 and S2 over 5 volunteers (considered as typical values). Columns 2 and 3 show the resulting std of C1 and α when the variations of all 4 parameters are taken into account, for typical and extreme std of C2 and w, respectively. Columns 4 to 9 show the effect of individual (typical and extreme) variations of S1, S2, C2 or w on the uncertainties of C1 and α. All std results for C1 and α are given in absolute value (and percentage).

Column 1 2 3 4 5 6 7 8 9
Variation type Typical Extreme Typical Typical Typical Extreme Typical Extreme
  Units Mean Std Std Std Std Std Std Std Std
S1 mM 35 8 8 8          
S2 mM 8 3 3   3        
C2 mM 140 5 10     5 10    
w   0.8 0.05 0.10         0.05 0.10
C1 mM 13 4.8 (36%) 5.1 (39%) 1.2 (9%) 4.5 (34%) 0.15 (1%) 0.3 (2%) 1.1 (8%) 2.2 (16%)
α   0.2 0.061 (32%) 0.063 (32%) 0.060 (30%) 0.021 (11%) 0.007 (4%) 0.014 (7%) 0 0