A Process Modelling Framework Based on Point Interval Temporal Logic with an Application to Modelling Patient Flows

Chishti, I. 2019. A Process Modelling Framework Based on Point Interval Temporal Logic with an Application to Modelling Patient Flows. PhD thesis University of Westminster School of Computer Science and Engineering

TitleA Process Modelling Framework Based on Point Interval Temporal Logic with an Application to Modelling Patient Flows
TypePhD thesis
AuthorsChishti, I.
Abstract

This thesis considers an application of a temporal theory to describe and model the patient journey in the hospital accident and emergency (A&E) department. The aim is to introduce a generic but dynamic method applied to any setting, including healthcare. Constructing a consistent process model can be instrumental in streamlining healthcare issues. Current process modelling techniques used in healthcare such as flowcharts, unified modelling language activity diagram (UML AD), and business process modelling notation (BPMN) are intuitive and imprecise. They cannot fully capture the complexities of the types of activities and the full extent of temporal constraints to an extent where one could reason about the flows. Formal approaches such as Petri have also been reviewed to investigate their applicability to the healthcare domain to model processes.
Additionally, to schedule patient flows, current modelling standards do not offer any formal mechanism, so healthcare relies on critical path method (CPM) and program evaluation review technique (PERT), that also have limitations, i.e. finish-start barrier. It is imperative to specify the temporal constraints between the start and/or end of a process, e.g., the beginning of a process A precedes the start (or end) of a process B. However, these approaches failed to provide us with a mechanism for handling these temporal situations. If provided, a formal representation can assist in effective knowledge representation and quality enhancement concerning a process. Also, it would help in uncovering complexities of a system and assist in modelling it in a consistent way which is not possible with the existing modelling techniques.
The above issues are addressed in this thesis by proposing a framework that would provide a knowledge base to model patient flows for accurate representation based on point interval temporal logic (PITL) that treats point and interval as primitives. These objects would constitute the knowledge base for the formal description of a system. With the aid of the inference mechanism of the temporal theory presented here, exhaustive temporal constraints derived from the proposed axiomatic system’ components serves as a knowledge base.
The proposed methodological framework would adopt a model-theoretic approach in which a theory is developed and considered as a model while the corresponding instance is considered as its application. Using this approach would assist in identifying core components of the system and their precise operation representing a real-life domain deemed suitable to the process modelling issues specified in this thesis. Thus, I have evaluated the modelling standards for their most-used terminologies and constructs to identify their key components. It will also assist in the generalisation of the critical terms (of process modelling standards) based on their ontology. A set of generalised terms proposed would serve as an enumeration of the theory and subsume the core modelling elements of the process modelling standards. The catalogue presents a knowledge base for the business and healthcare domains, and its components are formally defined (semantics). Furthermore, a resolution theorem-proof is used to show the structural features of the theory (model) to establish it is sound and complete.
After establishing that the theory is sound and complete, the next step is to provide the instantiation of the theory. This is achieved by mapping the core components of the theory to their corresponding instances. Additionally, a formal graphical tool termed as point graph (PG) is used to visualise the cases of the proposed axiomatic system. PG facilitates in modelling, and scheduling patient flows and enables analysing existing models for possible inaccuracies and inconsistencies supported by a reasoning mechanism based on PITL. Following that, a transformation is developed to map the core modelling components of the standards into the extended PG (PG*) based on the semantics presented by the axiomatic system.
A real-life case (from the King’s College hospital accident and emergency (A&E) department’s trauma patient pathway) is considered to validate the framework. It is divided into three patient flows to depict the journey of a patient with significant trauma, arriving at A&E, undergoing a procedure and subsequently discharged. Their staff relied upon the UML-AD and BPMN to model the patient flows. An evaluation of their representation is presented to show the shortfalls of the modelling standards to model patient flows. The last step is to model these patient flows using the developed approach, which is supported by enhanced reasoning and scheduling.

Year2019
File
File Access Level
Open (open metadata and files)
Publication dates
PublishedMar 2019

Related outputs

Transformation of UML Activity Diagram for Enhanced Reasoning
Chishti, I., Basukoski, A., Chaussalet, T.J. and Beeknoo, N. 2018. Transformation of UML Activity Diagram for Enhanced Reasoning. Future Technologies Conference 2018. Vancouver, Canada 13 - 14 Nov 2018 Springer. doi:10.1007/978-3-030-02683-7_33

Modeling Patient Flows: A Temporal Logic Approach
Chishti, I., Basukoski, A. and Chaussalet, T.J. 2018. Modeling Patient Flows: A Temporal Logic Approach. Journal On Computing. 6 (1). doi:10.5176/2251-3043_6.1.107

Modeling and Optimizing Patient Flows
Chishti, I., Basukoski, A. and Chaussalet, T.J. 2017. Modeling and Optimizing Patient Flows. 8th Annual International Conference on ICT: Big Data, Cloud & Security. Singapore 21 - 22 Aug 2017 Global Science & Technology Forum. doi:10.5176/2251-2136_ICT-BDCS17.52

A general framework for Business Process Modelling (BPM) based on Formal Temporal Theory with an application to Hospital Patient flows
Chishti, I., Chaussalet, T.J. and Basukoski, A. 2016. A general framework for Business Process Modelling (BPM) based on Formal Temporal Theory with an application to Hospital Patient flows. 8th IMA International Conference on Quantitative Modelling in the Management of Health and Social Care. Asia House, London 21 - 23 Mar 2016 Institute of Mathematics and its Applications.

Business Process Modelling based on formal temporal theory with an application to hospital patient flows
Chishti, I., Basukoski, A. and Chaussalet, T.J. 2016. Business Process Modelling based on formal temporal theory with an application to hospital patient flows. 8th IMA International Conference on Quantitative Modelling in the Management of Health and Social Care. Asia House, London 21 - 23 Mar 2016 Institute of Mathematics and its Applications.

Permalink - https://westminsterresearch.westminster.ac.uk/item/qy760/a-process-modelling-framework-based-on-point-interval-temporal-logic-with-an-application-to-modelling-patient-flows


Share this
Tweet
Email

Usage statistics

14 total views
10 total downloads
1 views this month
1 downloads this month
These values are for the period from September 2nd 2018, when this repository was created

Export as