  This report relates to a study group hosted by the EPSRC funded network,
Integrating data-driven BIOphysical models into REspiratory MEdicine (BIOREME),
and supported by The Insigneo Institute and The Knowledge Transfer Network. The
BIOREME network hosts events, including this study group, to bring together
multi-disciplinary researchers, clinicians, companies and charities to catalyse
research in the applications of mathematical modelling for respiratory
medicine. The goal of this study group was to provide an interface between
companies, clinicians, and mathematicians to develop mathematical tools to the
problems presented. The study group was held at The University of Sheffield on
the 17 - 20 April 2023 and was attended by 24 researchers from 13 different
institutions.
  This report relates to a challenge presented by Arete Medical Technologies
relating to impulse oscillometry (IOS), whereby a short pressure oscillation is
imposed at a person's mouth during normal breathing, usually by a loudspeaker.
The resulting pressure and flow rate changes can be used to the impedance of
the airways, which in turn can provide proxy measurements for
(patho)physiological changes in the small airways. Disentangling the signal so
that airway mechanics can be measured accurately (and device
properties/environmental effects can be accounted for) remains an open
challenge that has the potential to significantly improve the device and its
translation to clinic. In this report, several approaches to this problem, and
the wider problem of interpreting oscillometry resuts are explored.
