# Quantitative Characterization of Components of Computer Assisted Interventions

## TL;DR

This paper introduces a novel mathematical framework for quantitatively analyzing the impact of various components in computer-assisted surgeries, enabling objective evaluation of surgical events and roles.

## Contribution

It presents the first quantitative approach to assess the importance of surgical components using event impact factors inspired by operational research.

## Key findings

- Successfully applied the framework to laparoscopic cholecystectomy data
- Demonstrated the ability to quantitatively evaluate surgical events and roles
- Provided a method for objective decision-making in surgical workflows

## Abstract

Purpose: We propose a mathematical framework for quantitative analysis weighting the impact of heterogeneous components of a surgery. While multi-level approaches, surgical process modeling and other workflow analysis methods exist, this is to our knowledge the first quantitative approach. Methods: Inspired by the group decision making problem from the field of operational research, we define event impact factors, which combine independent and very diverse low-level functions. This allows us to rate surgical events by their importance. Results: We conducted surveys with 4 surgeons to determine the importance of roles, phases and their combinations within a laparoscopic cholecystectomy. Applying this data on a recorded surgery, we showed that it is possible to define a quantitative measure for deciding on acception or rejection of calls to different roles and at different phases of surgery. Conclusions: This methodology allows us to use components such as expertise and role of the surgical staff and other aspects of a given surgery in order to quantitatively analyze and evaluate events, actions, user interfaces or procedures.