Computational and Mathematical Methods in Medicine

Research Article

A New Ratio for Protocol Categorization

Table 1

Comparison of CC in Table 1(a) and in Table 1(b) assessing the performance of PLR tests for predicting cardiac output responses to fluid bolus. As example, on line 6, column 6, a PLR test increasing cardiac output by more than 10% predicts a cardiac output response over 10% after 500 mL fluid bolus with CC = 0.65 and = 0.62. Imp = not derivable (divided by zero). Below −15% and over 25% for PLR response and 50% for fluid response, CC is not derivable and is close to 0.

(a) Predictability of PLR-test for fluid bolus response based on CC value


	PLR ≥−15%	PLR ≥−10%	PLR ≥−5%	PLR ≥0%	PLR ≥5%	PLR ≥10%	PLR ≥15%	PLR ≥20%	PLR ≥25%

Fluid ≥−15%	1.00*	0.49***	0.24^#	0.17	0.12	0.08	0.04	0.03	0.03
Fluid ≥−10%	0.43***	0.41***	0.44***	0.39^#	0.28^#	0.18	0.09	0.06	0.06
Fluid ≥−5%	0.31^#	0.64**	0.70**	0.54***	0.38^#	0.25^#	0.13	0.09	0.09
Fluid ≥0%	0.22^#	0.45***	0.75**	0.78**	0.57***	0.41***	0.21^#	0.19	0.07
Fluid ≥5%	0.15	0.31^#	0.52***	0.71**	0.67**	0.53***	0.27^#	0.27	0.09
Fluid ≥10%	0.1	0.21^#	0.41***	0.61**	0.73**	0.65***	0.40^#	0.39^#	0.14
Fluid ≥15%	0.08	0.15	0.31^#	0.46***	0.52***	0.38^#	0.24^#	0.33^#	0.08
Fluid ≥20%	0.05	0.1	0.19	0.28^#	0.35^#	0.20^#	0.18	0.22^#	0.07
Fluid ≥25%	0.03	0.06	0.12	0.18	0.31^#	0.19	0.19	0.25^#	0.17
Fluid ≥30%	0.03	0.06	0.12	0.16	0.28^#	0.25^#	0.24^#	0.30^#	0.21^#
Fluid ≥35%	0.02	0.05	0.09	0.14	0.24^#	0.18	0.26^#	0.25^#	0.25^#
Fluid ≥40%	0.02	0.03	0.05	0.08	0.13	0.18	0.28^#	0.34^#	0.49***
Fluid ≥45%	0.01	0.01	0.05	0.08	0.13	0.19	0.28^#	0.34^#	0.70**
Fluid ≥50%	imp	imp	imp	0.02	0.08	0.12	0.31^#	0.42***	0.70**

(b) Predictability of PLR-test for fluid bolus response based on value


	PLR ≥−15%	PLR ≥−10%	PLR ≥−5%	PLR ≥0%	PLR ≥5%	PLR ≥10%	PLR ≥15%	PLR ≥20%	PLR ≥25%

Fluid ≥−15%	0.05	0.05	0.05	0.04	0.03	0.02	0.01	0	0
Fluid ≥−10%	0.05	0.09	0.17	0.18	0.14	0.08	0.05	0.01	0.01
Fluid ≥−5%	0.05	0.19	0.34^#	0.33^#	0.25^#	0.15	0.05	0.03	0.03
Fluid ≥0%	0.04	0.17	0.46***	0.60***	0.47***	0.27^#	0.11	0.10	0.01
Fluid ≥5%	0.03	0.13	0.38^#	0.59***	0.62**	0.46***	0.17	0.16	0.02
Fluid ≥10%	0.02	0.09	0.31^#	0.56***	0.73**	0.62**	0.27^#	0.24	0.03
Fluid ≥15%	0.02	0.07	0.21^#	0.39^#	0.51***	0.34^#	0.14	0.19	0.02
Fluid ≥20%	0.01	0.06	0.1	0.19	0.25^#	0.14	0.12	0.10	0.02
Fluid ≥25%	0	0.03	0.05	0.09	0.15	0.09	0.02	0.08	0.04
Fluid ≥30%	0	0.03	0.04	0.07	0.12	0.08	0.03	0.08	0.04
Fluid ≥35%	0	0.01	0.03	0.05	0.09	0.05	0.03	0.05	0.04
Fluid ≥40%	0	0	0.01	0.02	0.04	0.04	0.05	0.05	0.05
Fluid ≥45%	0	0	0.01	0.02	0.03	0.04	0.05	0.05	0.05
Fluid ≥50%	0	0	0	0.00	0.00	0.04	0.04	0.05	0.05

For better readability, values >0.8 are marked with (*), >0.6 are marked with (**), >0.4 are marked with (***), and >0.2 are marked with (#). The bold values inside Tables 1(a) and 1(b) delimitates the data originally published (see [9]). Corresponding values are also delimited in Table 1(b).