Intensive Care Medicine

, Volume 39, Issue 4, pp 799–799

# Correction

• Iain Mackenzie
• Tony Whitehouse
• Peter Nightingale
Correspondence

Dear Editor,

In the course of repeating some of the analyses that contributed to our publication [1], we noticed that the equation used to calculate the glycaemic lability index (GLI) was slightly different from the original description of this metric. Readers familiar with the GLI who looked at the equation used, presented as Equation ESM4, will have been aware of this. We were concerned that this may have altered some of the conclusions that we came to in our paper, and so have repeated the key analyses using the original equation.

In our original analysis, the glycaemic lability index was calculated as:
$$\sum\limits_{n = 1}^{N - 1} {\frac{{\left( {gluc_{n + 1} - gluc_{n} } \right)^{2} }}{{t_{n + 1} - t_{n} }}},$$
for a series of N glucose values in which glucn and glucn+1 are consecutive glucose values measured at times tn and tn+1, respectively. However, in the original description, the GLI [2] was summed over 168 consecutive hours (1 week) only, rather than over a patient’s entire observation period. In our study the patient’s observation period on ICU ranged from 0.21 to 6,672 h, and to obtain a GLI as originally described we should have applied a correction factor to normalise each value to 168 h:
$$\sum\limits_{n = 1}^{N - 1} {\frac{{\left( {gluc_{n + 1} - gluc_{n} } \right)^{2} }}{{t_{n + 1} - t_{n} }}} \times \frac{168}{{t_{N} - t_{1} }}.$$
The relationship between the new and original values for GLI are presented in Table ESM1 and Figures ESM1 and ESM2.
New values for GLI results in subtle changes to the relationship between metrics (Fig. 1) and, if anything, strengthens the main message of the paper (Table ESM2). We believe that we have a responsibility to the editors of ICM, the journal’s readers, and ourselves, to bring this to your attention.

## Supplementary material

134_2013_2824_MOESM1_ESM.docx (804 kb)
Supplementary material 1 (DOCX 803 kb)

### References

1. 1.
Mackenzie IM, Whitehouse T, Nightingale PG (2011) The metrics of glycaemic control in critical care. Intensive Care Med 37:435–443. doi:10.1007/s00134-010-2103-2
2. 2.
Ryan EA, Shandro T, Green K, Paty BW, Senior PA, Bigam D, Shapiro AM, Vantyghem MC (2004) Assessment of the severity of hypoglycemia and glycemic lability in type 1 diabetic subjects undergoing islet transplantation. Diabetes 53:955–962

© Springer-Verlag Berlin Heidelberg and ESICM 2013

## Authors and Affiliations

• Iain Mackenzie
• 1
• Tony Whitehouse
• 2
• Peter Nightingale
• 3
1. 1.Anaesthesia and Critical CareUniversity Hospital Birmingham NHS Foundation TrustBirminghamUK
2. 2.Anaesthesia and Intensive CareUniversity Hospital Birmingham NHS Foundation TrustBirminghamUK
3. 3.Wellcome Trust Clinical Research FacilityUniversity Hospital Birmingham NHS Foundation TrustBirminghamUK