Vitatron (Medtronic SQDM/Vitatron in full) develops medical appliances such as pacemakers. The human heart contracts by getting electrical pulses from the heart’s own pacemaker (called sinus node). The pulse rate can show a wide range of rates depending on the activity level of the rest of the body. Sometimes health problems occur causing these electrical pulses to come at wrong moments. This is called an arrhythmia.

A pacemaker (also called Implantable Pulse Generators (IPG)) maintains an adequate rate in the patient’s heart by delivering electrical stimuli (paces) to the chambers of the heart. The behavior of a pacemaker is to a large extent determined by the firmware, i.e. the embedded software. The firmware must deal with all possible rates and arrhythmias, which makes it a complex composition of collaborating and interacting processes.

In this project the firmware design of Vitatron’s DA+ pacemaker has been checked using both mCRL2 and Uppaal. The analysis did only reveal a known problem indicating the high quality of the software in these pacemakers.


To investigate the verification of a pacemaker firmware design by formal model checking, several verification approaches were exploited. These approaches differ in the composition of the verified formal models and the requirements that have been verified upon them. Two main approaches can be distinguished; in the first approach, a rather complete formal firmware model was verified in the context of a formal model of the human heart. The formal model of this approach was verified for several configurations of the formal heart model; three requirements have been verified on the resulting models, including absence of deadlocks and the requirement that the pacing rate never exceeds a certain upper bound.


In the second main approach, a small part of the firmware model was verified in the context of a collection of stub and driver processes. The latter approach was exploited because Vitatron had found a flaw in this firmware part in the past. On the formal model of this approach, one requirement has been verified that represents the main purpose of the modeled firmware part.

The initial plan was to model both in mCRL2 and Uppaal. Uppaal was only used for the initial models because it was not suitable to deal with the full complexity of the software of the pacemaker.

Technical details

Type of verification

In mCRL2, most requirements have been verified by explicit state space generation using breadth-first search (without actually storing the state space). For example, the requirement to the model of the second approach was verified by modeling the stub and driver processes such that a deadlock state was reached when the requirement was violated. By commanding lps2lts to detect deadlock states, the formal model was verified. This verification led to the detection of the flaw that is known at Vitatron. After the detection of this flaw, the possible consequences of the flaw have been discovered through adapting the model of the first approach such that the flaw could also occur in this model. Together these verification have led to important conclusions and recommendations to Vitatron.

One of the requirements to the model of the first approach was validated by symbolic model checking using pbes2bool.

Data size

The state space size depends on the configuration of the formal heart model. For the first model of the heart model, the state space contains far more than a billion states. Verifications have been carried out on models with various restrictions with state space sizes that vary from several thousands of states till approximately 500 million states.

The second model in which we found a known violation of the requirement contained 714.464 states.

Equipment (computers, CPU, RAM)

All verifications were performed on a 64 bit linux machine with 128GB RAM.


The models are confidential.

Organizational context
Contact person:

Jan Friso Groote, Technische Universiteit Eindhoven, The Netherlands.

Other people involved:
  • Jaap Wiggelinkhuizen (Student, TU/e, Eindhoven)

  • Jan Tretmans (Supervisor, Embedded Systems Institute, Eindhoven)

  • Erik Hendriksen (Supervisor, Medtronic SQDM/Vitatron, Arnhem)


Technische Universiteit Eindhoven, The Netherlands.

Industrial partner:

Medtronic SQDM/Vitatron, Arnhem, Netherlands


The project was carried out by Jaap Wiggelinkhuizen as a master graduation project at Medtronic SQDM/Vitatron, Arnhem, The Netherlands.

Time period:

The project started in April 2007 and was successfully finished in December 2007.