To the Editor,

We thank Peyton and Fletcher for their interest in our paper, where we devised a method to infer shunt fraction from a single arterial blood gas sample, with the intention to allow clinical research and prediction without the need for additional invasive measurements, as stated both in the abstract and the main text of our report. Peyton and Fletcher have usefully emphasised this point by citing their own work, in which more invasive samples could be taken. However, it is very likely that the correct derivation of the relationship between the relevant components of the equation has been known and used well before this work: see, for example, the diagrammatic explanation shown in our citation 2 [1]. We do not claim that this simple algebraic rearrangement is original.

As we stated in our paper, our conclusion is that the estimated shunt fraction, although imperfect, is an improvement upon P/F. We recommend its use instead of other measures in situations where FIO2 is changing.

We thank the authors for spotting the typo in one of the equations in our paper on Effective Shunt (ES). A set of parentheses were dropped in the published version. We have now corrected this.

Best wishes,

Emma Chang, Andrew Bretherick, Gordon Drummond and Kenneth Baillie