Mathematical methodology for defining a frequent attender within emergency departments

ObjectiveEmergency department (ED) frequent attenders (FA) have been the subject of discussion in many countries. This group of patients have contributed to the high expenses of health services and strained capacity in the department. Studies related to ED FAs aim to describe the characteristics of...

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Main Authors: Elizabeth Williams, Syaribah N. Brice, Dave Price
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-02-01
Series:Frontiers in Disaster and Emergency Medicine
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/femer.2025.1462764/full
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author Elizabeth Williams
Elizabeth Williams
Syaribah N. Brice
Syaribah N. Brice
Dave Price
author_facet Elizabeth Williams
Elizabeth Williams
Syaribah N. Brice
Syaribah N. Brice
Dave Price
author_sort Elizabeth Williams
collection DOAJ
description ObjectiveEmergency department (ED) frequent attenders (FA) have been the subject of discussion in many countries. This group of patients have contributed to the high expenses of health services and strained capacity in the department. Studies related to ED FAs aim to describe the characteristics of patients such as demographic and socioeconomic factors. The analysis may explore the relationship between these factors and multiple patient visits. However, the definition used for classifying patients varies across studies. While most studies used frequency of attendance to define the FA, the derivation of the frequency is not clear.MethodsWe propose a mathematical methodology to define the time interval between ED returns for classifying FAs. K-means clustering and the Elbow method were used to identify suitable FA definitions. Recursive clustering on the smallest time interval cluster created a new, smaller cluster and formal FA definition.ResultsApplied to a case study dataset of approximately 336,000 ED attendances, this framework can consistently and effectively identify FAs across EDs. Based on our data, a FA is defined as a patient with three or more attendances within sequential 21-day periods.ConclusionThis study introduces a standardized framework for defining ED FAs, providing a consistent and effective means of identification across different EDs. Furthermore, the methodology can be used to identify patients who are at risk of becoming a FA. This allows for the implementation of targeted interventions aimed at reducing the number of future attendances.
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spelling doaj-art-8cea952f3fd249edaf911533e026f4912025-02-11T06:59:10ZengFrontiers Media S.A.Frontiers in Disaster and Emergency Medicine2813-73022025-02-01310.3389/femer.2025.14627641462764Mathematical methodology for defining a frequent attender within emergency departmentsElizabeth Williams0Elizabeth Williams1Syaribah N. Brice2Syaribah N. Brice3Dave Price4School of Mathematics, Cardiff University, Cardiff, United KingdomDigital and Health Intelligence, Cardiff and Vale University Health Board, Cardiff, United KingdomSchool of Mathematics, Cardiff University, Cardiff, United KingdomDigital and Health Intelligence, Cardiff and Vale University Health Board, Cardiff, United KingdomDigital and Health Intelligence, Cardiff and Vale University Health Board, Cardiff, United KingdomObjectiveEmergency department (ED) frequent attenders (FA) have been the subject of discussion in many countries. This group of patients have contributed to the high expenses of health services and strained capacity in the department. Studies related to ED FAs aim to describe the characteristics of patients such as demographic and socioeconomic factors. The analysis may explore the relationship between these factors and multiple patient visits. However, the definition used for classifying patients varies across studies. While most studies used frequency of attendance to define the FA, the derivation of the frequency is not clear.MethodsWe propose a mathematical methodology to define the time interval between ED returns for classifying FAs. K-means clustering and the Elbow method were used to identify suitable FA definitions. Recursive clustering on the smallest time interval cluster created a new, smaller cluster and formal FA definition.ResultsApplied to a case study dataset of approximately 336,000 ED attendances, this framework can consistently and effectively identify FAs across EDs. Based on our data, a FA is defined as a patient with three or more attendances within sequential 21-day periods.ConclusionThis study introduces a standardized framework for defining ED FAs, providing a consistent and effective means of identification across different EDs. Furthermore, the methodology can be used to identify patients who are at risk of becoming a FA. This allows for the implementation of targeted interventions aimed at reducing the number of future attendances.https://www.frontiersin.org/articles/10.3389/femer.2025.1462764/fullemergency departmentfrequent attenderK-means clusteringhealth serviceshealth care utilizationtargeted interventions
spellingShingle Elizabeth Williams
Elizabeth Williams
Syaribah N. Brice
Syaribah N. Brice
Dave Price
Mathematical methodology for defining a frequent attender within emergency departments
Frontiers in Disaster and Emergency Medicine
emergency department
frequent attender
K-means clustering
health services
health care utilization
targeted interventions
title Mathematical methodology for defining a frequent attender within emergency departments
title_full Mathematical methodology for defining a frequent attender within emergency departments
title_fullStr Mathematical methodology for defining a frequent attender within emergency departments
title_full_unstemmed Mathematical methodology for defining a frequent attender within emergency departments
title_short Mathematical methodology for defining a frequent attender within emergency departments
title_sort mathematical methodology for defining a frequent attender within emergency departments
topic emergency department
frequent attender
K-means clustering
health services
health care utilization
targeted interventions
url https://www.frontiersin.org/articles/10.3389/femer.2025.1462764/full
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