Notes:
An extended version of this paper can be found at http://qav.cs.ox.ac.uk/papers/klm13.pdf.
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Abstract.
Rate-adaptive pacemakers make use of sensors in order to automatically adjust the pacing rate according to the
metabolic needs of the patient, thus overcoming the limitation of
fixed-rate pacemakers that cannot ensure an adequate heart beat
in cases of varying physical, mental or emotional activity. This
feature significantly improves the quality of life of patients with chronotropic incompetence, i.e. whose heart is unable to increase its rate as the activity increases. We develop a formal model of a rate-adaptive pacemaker based on hybrid automata that explicitly includes sensors for rate control. In particular, we model the VVIR pacemaker with a QT interval sensor, a highly specific metabolic sensor that can sense the exercise activity level, based on the fact that physical (and mental) stresses shorten the QT interval, in turn requiring an increased heart rate. We implement the QT interval sensor through a runtime ECG detection algorithm and validate our model with patient data, showing that the simulated VVIR pacemaker is able to successfully regulate a Bradycardia ECG signal and produce a correctly paced heart. The validated rate-adaptive pacemaker is plugged into the
model-based framework introduced in [8], which enables rigorous
and quantitative verification of closed-loop patient-device systems described as hybrid automata, and supports multiple heart
and pacemaker models in a modular way. We demonstrate the
usefulness of the framework by performing in silico experiments
to demonstrate the correct functioning of rate modulation under
different activity levels. Our framework has the potential to
reduce the need for exercise testing with real patients.
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