a complex adaptive systems modeling framework for ......• some sets of problems, while distinct on...

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Veterans Health Administration Complex Adaptive System of Systems (CASoS) Engineering Initiative http://www.sandia.gov/casos Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-AC04-94AL85000. SAND Number 2010-8561 C A Complex Adaptive Systems Modeling Framework for Public Health Action Exemplified by the Veterans Affairs Modeling Object Oriented Simulation Environment Thomas W. Moore 1 John M. Linebarger 1 Patrick D. Finley 1 Roger Mitchell 1 Walter E. Beyeler 1 Victoria J. Davey 2 Robert J. Glass 1 Modeling for Public Health Action: From Epidemiology to Operations Centers for Disease Control and Prevention December 9-10, 2010 1 Sandia National Laboratories 2 Department of Veterans Affairs

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Page 1: A Complex Adaptive Systems Modeling Framework for ......• Some sets of problems, while distinct on the surface, contain underlying common elements that can be incorporated into such

Veterans HealthAdministration

Complex Adaptive System of Systems(CASoS) Engineering Initiativehttp://www.sandia.gov/casos

Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of

Energy’s National Nuclear Security Administration under contract DE-AC04-94AL85000.

SAND Number 2010-8561 C

A Complex Adaptive Systems Modeling Framework for Public Health Action

Exemplified by the Veterans Affairs Modeling Object Oriented Simulation EnvironmentThomas W. Moore1

John M. Linebarger1

Patrick D. Finley1

Roger Mitchell1Walter E. Beyeler1

Victoria J. Davey2

Robert J. Glass1

Modeling for Public Health Action: From Epidemiology to Operations Centers for Disease Control and Prevention

December 9-10, 20101 Sandia National Laboratories 2 Department of Veterans Affairs

Page 2: A Complex Adaptive Systems Modeling Framework for ......• Some sets of problems, while distinct on the surface, contain underlying common elements that can be incorporated into such

Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Many Examples of CASoS

• Tropical Rain forest• Agro-Eco system• Cities and Megacities (and their

network on the planet)• Interdependent infrastructure

(local to regional to national to global)

• Government and political systems, educational systems, health care systems, financial systems, economic systems and their supply networks (local to regional to national to global)… Global Energy System and Green House Gasses

2

Page 3: A Complex Adaptive Systems Modeling Framework for ......• Some sets of problems, while distinct on the surface, contain underlying common elements that can be incorporated into such

Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Why Public Health is a CASoS

Public health systems are • Complex due to the large number of interdependencies and

non-linear interactions among autonomous agents, such as individuals, health care organizations, and governmental agencies

• Adaptive in that the behaviors of individuals, organizations, and diseases are highly responsive to the behaviors of other such agents, as well as to hazards and natural disasters

• System-of-systems structure is evident in their ability to be recursively decomposed into collections of interacting components, generally to an arbitrarily low level of detail

Ultimately, designed solutions (public health care actions) must be shown to be robust to the uncertainties inherent within the CASoS.

3

Page 4: A Complex Adaptive Systems Modeling Framework for ......• Some sets of problems, while distinct on the surface, contain underlying common elements that can be incorporated into such

Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

In a CASoS such as the VHA…

Everything is connectedskilled workers-utilities-

transportation-structures-supplies-emergency services

Reduced health care capacity

Increased morbidity Decreased preventive services

Diminished health status

In a threat like a hurricane, if

components are disrupted…

4

Page 5: A Complex Adaptive Systems Modeling Framework for ......• Some sets of problems, while distinct on the surface, contain underlying common elements that can be incorporated into such

Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Aspirations

• To develop a CASoS modeling framework for public health action built on an object-oriented, agent-based conceptualization of a health care system.

• Support analysis of a wide variety of scenarios, policy options, scales of system realization, and various or mixed levels of fidelity.

• Evaluate the effectiveness of public health actions to a wide variety of imposed threats (such as natural disasters, epidemics, acts of war, or a changing patient population mix).

• Embed sophisticated sensitivity and uncertainty quantification techniques to enable selection of the policy options most robust to a diversity of threats and model assumptions, and to determine the requirements for the chosen policy actions to be most effective.

5

Page 6: A Complex Adaptive Systems Modeling Framework for ......• Some sets of problems, while distinct on the surface, contain underlying common elements that can be incorporated into such

Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

A Conceptual Lens for CASoS Modeling

• Nodes (with a variety of “types”)• Links or “connections” to other nodes (with a variety of “modes”)• Local rules for Nodal and Link behavior• Local Adaptation of Behavioral Rules• “Global” forcing, Local dissipation

Take any system and abstract as:

Connect nodes appropriately to form a system (network)Connect systems appropriately to form a System of Systems

GrowthEvolutionAdaptation

NodeState

NeighborState

PropagationRules

TransitionRules

NetworkTopology

Node / LinkModifications

PerceivedNode

Performance

PerceivedGlobal

NetworkProperty

RuleModifications

Lumped to discreteSystem dynamics to agent-basedInfinite to Finite State machines

Hybrid6

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Fundamental Categories of Process

Medical Physics- Diseases and treatments- Labor, resources

Organizational Physics- Distinction between MSUs

Capacity Capabilities Resources

- Resource allocation policies Initial Dynamic

Social Physics- Mood contagion in social networks- Social components of lifestyle associated diseases- Dissemination of practice

7

Organizational Physics

HealthcareOrganizational

Simulation

Social Physics

Medical Physics

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

MedicalFacilities

Hospitals

Clinics

NursingHomes

Rehabs

EDs

ICUs

..

MedicalService Unit

We’ve defined a Medical Service Unit (MSU) as a generic model for any location where some kind of medical service is provided.

It can be applied at a large scale (to represent an entire hospital for example) or at a small scale (to represent an individual ICU station), and may be nested

Fundamental building block for Health Care Facilities

8

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

A network of healthcare facilities is subjected to two types of surges in demand:

1. a spike, representing a natural disaster which introduces patients with acute trauma requiring immediate treatment

2. a steady increase in demand imposed by the increasing prevalence of hepatitis C, which can result in a population with a significantly increased burden of end-stage liver disease and hepatocellular carcinoma.

We consider policy actions that are medical center-level focused and network-level focused

9

Demonstration Problems

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Individual MSU Configuration

PopulationPre-

AdmissionAdmitted

Staff

Material Resources

In Treatment

Discharge

MSUs are the base units of medical

functionality

Patients are triaged and queued for

admissions processing

Patients are admitted and diagnosed

Diagnosed diseases are treated, patients are discharged after successful treatment

10

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Networks of MSUs can share resources

Networks can contain warehouses or other resource-distributing

entities

MSU Networks

MSUs in the network can vary in size and

capacity

11

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Disease Representation

State 1: Initial

Dischargeable State

State 2: Moderate

State 3:

Severe

Terminal State

Treatment

Effect

Effect Effect

Diseases are modeled as Markov chains, giving maximum

flexibility to create an arbitrary level of fidelity.

Topologies can be simple and linear, or

complex and branching

Each disease state can be associated with one

or more effects, triggering changes in

patient physical or psychological states

Applying a treatment to a disease triggers

a change in state

12

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Treatment Representation

Material Resources

Staff ResourcesTreatment Template

Applied to DiseaseTreatments require allocation of

resources in order to be filled

Filled treatments are applied to diseases; treatments can take

time to apply, tying up those resources

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Policies for Resource Dynamics

Sharing Policy

Sharing Decision

Are there enough resources on hand to

fill the request?

Requesting MSU

Who is requesting resources? Is there a policy in place for that

particular entity?

Group-oriented, self-oriented, or

somewhere in between?

Resource Availability

14

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Spike Problem Configuration

Scenario:• Network of MSUs• Spike (earthquake) centered at

one MSU• Multiple aftershocks• Damaged MSU is shut down• Some MSUs unaffected

Policies:• Trigger for expansion of capacity• How many times to expand capacity, and

how much to expand• Trigger for transfer of waiting patients• Selection of patient transfer location

-Nearest neighbor-Furthest neighbor (outside spike effect zone)

Strategies:• Expand capacity• Transfer waiting patients• Levels of resource sharing

1 2

3

4

5

15

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

• Key variables • Whether or not to expand capacity• Capacity expansion amount• Number of times to expand capacity• Patient transfer location selection policy• Response coordination and resource sharing policies

• Findings• “Double Spike” effect exhibited• Transferring patients outside of the secondary effect zone can yield

better treatment results than trying to minimize transfer delay• Coordination and resource sharing :

• increases robustness to perturbation • strongly decreases mortality resulting from severe perturbations

Spike Results

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Page 17: A Complex Adaptive Systems Modeling Framework for ......• Some sets of problems, while distinct on the surface, contain underlying common elements that can be incorporated into such

Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Hepatitis C Problem Configuration

HCV Cirr

HCC

ESLD

Local

LocalLocal

Regional

Local

Strategies:Move PatientsTelepresenceCircuit RiderLocal Availability

AlcDep

LocalDiseases:Hepatitis CCirrhosisHepatocellular CarcinomaEnd Stage Liver DiseaseAlcohol Dependency

17

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

• Key variables - Population size- Population age (epidemiological profile)- Co-morbidities, disease progression rates (disease profiles)

• Findings- Moving patients is a reasonable strategy with limited population size- Telepresence extends capabilities and can multiply effectiveness of

key personnel, constrained by disease severity- Circuit riders play a key role, constrained by local resource

availability, patient load (population size)- Local presence becomes required for high load, advanced disease

population- Dynamic population profiles require dynamic policies

Hepatitis C Results

18

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Conclusion

• The inherent complexity and adaptivity of the public health care and the associated systems implies that there is an opportunity for general tools that consider large scale questions relating to preparedness, understanding, and system optimization

• Some sets of problems, while distinct on the surface, contain underlying common elements that can be incorporated into such tools to bring diverse sets of answers into more commensurable spaces

• These problems benefit from a strongly interdisciplinary approach, as each discipline brings new perspectives, tools, and models

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Backup Slides

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Page 21: A Complex Adaptive Systems Modeling Framework for ......• Some sets of problems, while distinct on the surface, contain underlying common elements that can be incorporated into such

Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Page 22: A Complex Adaptive Systems Modeling Framework for ......• Some sets of problems, while distinct on the surface, contain underlying common elements that can be incorporated into such

Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Major Entity Types, Aggregations, and Relations

22

Community

WaterSupply

EPSubstation

GasSupply

Households

MotorFuel

Suppliers

Businesses

Private SectorHealthcare

Backup/Store

HealthCare

FacilityTransportation

FoodSupplies

WorkersPatients

World

LD Transport

Communications

WireCenter

Information

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

MedicalService

Unit

Patient

Worker

Workers’ States

Basic Medical Service Unit - StatesA Medical Service Unit (MSU) is a location at which workers (of one or more types) service patients (having one or more kinds of conditions). MSU’s capture the basic processes common to many facilities at many scales. Complex facilities (hospitals) can be represented as an MSU or as a complex collection of interacting MSUs.

Treatment State

Mood

Load

Patients’ States

An MSU’s infrastructure states may be defined by an embedding MSU (for example a ward’s power state is determined by the hospital’s power state)

The MSU may explicitly keep the set of Workers and Patients, or may count the number in each state.

Mood

The diversion state, which may be a simple function of other states, indicates whether the MSU is accepting new patients and/or is attempting to relocate existing patients

Communications State

Power State

Water State

NG State

Supplies State

Equipment State

Diversion State

Wastewater State

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

VHA Facilities

HealthCare

Facility

VHA facilities get resources from VISNs; VISNs broker inter-facility flows within and among their constituent facilities; VHA provides funding, resources, information, and obtains status information

VISN Office VISN Office

Central Offices

Towards a view of the complete System

Private Facility Network

24

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

VHA Facilities

HealthCare

Facility

VA facilities get resources from VISNs; VISNs broker inter-facility flows within and among their constituent facilities; VHA provides funding, resources, information, and obtains status information

VISN Office VISN Office

Central Offices

Political/Funding pathways

Person

PoliticalBody

25

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Problem Overview

• Local versus systemic optimization

• Resource allocation, distribution, and sharing policies

• Staffing Issues- Team formation- Workplace stress and satisfaction

• Patient-centric care

26

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Local vs. Systemic Optimization

In a resource constrained environment, entities exist in competition with each other

When entities exist within functioning groups, competition between entities can detract from group-level performance metrics4

Real and perceived resource constraints encourage individual hospitals to run at or above capacity, which can make individual hospitals less likely to share resources

Local surges in demand are more difficult to address if resources cannot be efficiently reallocated, compromising network performance

27

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Resource Policies

• Resource sharing among affiliated healthcare institutions can yield better resource utilization, greater accessibility to care, and reduced overall costs

• Lack of capacity and incompatible incentive structures combine with technical and policy-based problems restrict sharing of resources between and among institutions

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Staffing Issues

• People are the VHA’s most important resource

• Perceived quality of work environment affects acquisition and retention of staff

• Workload, job related stress, professional and personal work related relationships, and career opportunities can affect retention

29

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Patient-Centric Care

Informed, engaged and empowered patients Care focused on needs and desires of patients rather

than needs of providers and institutions Patient-driven, team-based approach Opportunities for integration of social network

technologies and techniques Psychosocial support networks foster patient

compliance, substance abuse treatment, psychological treatment, social integration

30

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Health Care as CASoS

• Traditional organizational theory and optimization practices (e.g., CQI) apply poorly to CASoS environments1

• Complex characteristics can affect patient care and staff efficiency2

31

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Architectural Philosophy

• Human Centric – Patients and Staff3

• Resource Constrained

• Illustrate and explore interpersonal and interinstitutional dynamics

• Explore policy impacts on operating efficiency and medical outcomes

• Medical Service Unit as core of medical functionality

32

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

References

1. Litaker, D., Tomolo, A., Liberatore, V., Stange, K.C. & Aron, D. Using Complexity Theory to Build Interventions that Improve Health Care Delivery in Primary Care. J Gen Intern Med 21, S30-S34 (2006).

2. Delaney, C. & Clancy, T. Complex nursing systems. Journal of nursing management 13, 192-201 (2005).

3. Perlin, J.B., Kolodner, R.M. & Roswell, R.H. The Veterans Health Administration: quality, value, accountability, and information as transforming strategies for patient-centered care. Am J Manag Care 10, 828–36 (2004).

4. Murmann, J.P., Aldrich, H.E., Levinthal, D. & Winter, S.G. Evolutionary Thought in Management and Organization Theory at the Beginning of the New Millennium: A Symposium on the State of the Art and Opportunities for Future Research. Journal of Management Inquiry 12, 22-40 (2003).

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Sandia National Labs and the Department of Veterans Affairs

Sandia Veterans Health Administration Pandemic Influenza 2005

- DHS responding to perceived threat of pandemic H5N1 outbreak

- How to mitigate pandemic effects without vaccines or antivirals?

- Need to model complex adaptive system of systems and evaluate policy alternatives, quantifying and reducing uncertainty and risk

What is a threat?- Source and focus: Infrastructural, medical, organizational

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

CASoS Introduction

Complex- Interactions and interdependencies among large numbers of

heterogeneous agents- Multi-scale phenomena

Adaptive- People (Behavior)- Organizations/systems- Diseases

System of Systems- Resource deconstruction into collections of interacting components- Staff, patients, administration- Community- Social networks

35

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

CASoS Engineering Aspirations

From an engineering perspective, Aspirations fall into a set of clearly identified categories: Predict the evolution of the system and, in particular, the

results of events (e.g., perturbations of a variety of qualities and quantities) with direct and consequential changes in system health

Prevent or Cause an event to occur Prepare elements of the system for impending events (e.g.,

minimize/maximize influence) Monitor important aspects of a system to record the

response of the system to events Recover or Change in response to events Control system behavior to avoid or steer the system towards

specified regimes through the design of appropriate incentives and feedback

Design an artificial CASoS

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Complex Systems Require Robust Solutions to Achieve Aspirations

Complex: Interacting and interdependent components contribute to possibilities for unanticipated, unintended consequences

Adaptive: In responding to changes or perturbations, system will evolve along lines constrained by internal dynamics and external selective pressure – what are you selecting for?

Systems of systems: Systems with fuzzy boundaries means cascading consequences

Hierarchical structure means single actions or selection pressure can act in unexpected ways on other system components

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Creating Robust Solutions

• Robust solutions generate desired outcome under a wide range of possible scenarios

• Some solutions only perform well under typical or expected conditions

• Modeling policy outcomes over all conceivable implementation scenarios helps to find most robust options

• Rigorous sensitivity analysis and uncertainty quantification key to finding robust solutions

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Steps in Uncertainty Analysis

• Apply design of experiment to ensure full parameter space is sampled

• Perform Sensitivity Analysis (SA) to determine which inputs have the most effect on outputs

• Run uncertainty quantification (UQ) to identify sources of model uncertainty and how to control

• Run statistical significance tests to gauge reliability and quality of study results

• Repeat until satisfactory levels of confidence reached

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Why use Uncertainty Analysis?

• Determines which parameters are most effective in changing model results

• Shows where improved data are needed- Better estimates of insensitive parameters not important- Important but poorly known parameters can use better data.

• Shows what you can safely ignore in model

• Gives hard estimates on quality of model results under different scenarios

• Helps determine when we’re done

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Why Model?

Models of complex systems are not meant to be predictive in a deterministic sense

Reveal tradeoffs, uncertainties, sensitivities; discipline the dialogue about options (Epstein 2008)

Compare and contrast policy cocktails, looking at effects of uncertainty

Enhance understanding, develop new insights through application and analysis of alternative metaphors

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Three Domains

Medical Physics- Diseases and treatments- Labor, resources

Organizational Physics- Distinction between MSUs

Capacity Capabilities Resources

- Resource allocation policies Initial Dynamic

Social Physics- Mood contagion in social networks- Social components of lifestyle associated diseases

42

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Perturbations and Scripting Scenarios

• Configure scenario – MSUs, networks, patients, staff, diseases, resources

• Schedule events – Decrease in resources, increase in patient flow rates, appearance of new medical conditions

• Coupling between systems will allow events to cascade

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Policy Cocktails

• By analogy with drug cocktails

• Different policies to mitigate different aspects of complex problems

• Analyze for synergistic or antagonistic interactions

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Modeling creates policy option combinations with different outcomes and variability

45

Pandemic influenza study (baseline scenario): 64 treatments, 6,400 model runs, synthetic data set

Page 46: A Complex Adaptive Systems Modeling Framework for ......• Some sets of problems, while distinct on the surface, contain underlying common elements that can be incorporated into such

Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Desirable Outcomes and Low Variability Characterize Robust Policies

• Each policy tried on 100 random social networks

• 2,780 cases expected with no treatment

• Closing schools is best single option

- Mean = 137 cases- Moderate variation

Social distancing is not as effective

- Mean = 987 cases- Wide variation

Both policies in conjunction create robust solution

- Mean = 118 cases- Narrow variation

Robust solution:

- Good outcome- Most stable to randomness

46

No Treatment

Social Distancing

Closing Schools

Social Distancing

ANDClosing Schools

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Demonstration

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Veterans HealthAdministration

CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010

Application of Networked Agent Method to Influenza

48

Everyone Random

Household

Extended Family

or Neighborhood

Teen Random

School classes

6 per teen

T1

T1

T1

T1

T1

Social Networks for Teen 1

ExampleTeen

Everyone Random

Household

Extended Family

or Neighborhood

Teen Random

School classes

6 per teen

T1

T1

T1

T1

T1

Social Networks for Teen 1

ExampleTeen

LatentMean duration 1.25

days

Infectious presymptomatic

Mean duration 0.5 days

IR 0.25

Infectious symptomaticCirculate

Mean duration 1.5 daysIR 1.0 for first 0.5 day,

then reduced to 0.375 for final day

Infectious symptomaticStay home

Mean duration 1.5 daysIR 1.0 for first 0.5 day,

then reduced to 0.375 for final day

Infectious asymptomaticMean duration 2 days

IR 0.25

Dead

Immune

Transition Probabilities

pS = 0.5pH = 0.5pM = 0

pHpS

(1-pS)(1-

pH)

pM

pM

(1-pM)

(1-pM)

LatentMean duration 1.25

days

Infectious presymptomatic

Mean duration 0.5 days

IR 0.25

Infectious presymptomatic

Mean duration 0.5 days

IR 0.25

Infectious symptomaticCirculate

Mean duration 1.5 daysIR 1.0 for first 0.5 day,

then reduced to 0.375 for final day

Infectious symptomaticStay home

Mean duration 1.5 daysIR 1.0 for first 0.5 day,

then reduced to 0.375 for final day

Infectious asymptomaticMean duration 2 days

IR 0.25

Dead

Immune

Transition Probabilities

pS = 0.5pH = 0.5pM = 0

pHpS

(1-pS)(1-

pH)

pM

pM

(1-pM)

(1-pM)

Stylized Social Network(nodes, links, frequency of interaction)

Disease manifestation(node and link behavior)

+

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CASoS Engineering

Modeling for Public Health Action9 - 10 December 2010 49

Adults (black) Children (red) Teens (blue)Seniors (green)

Network of Infectious Contacts

Children and teens form the Backbone of the Epidemic

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Modeling for Public Health Action9 - 10 December 2010

Closing Schools and Keeping the Kids Home

50

ID Factor 1.0

0

500

1000

1500

2000

2500

0 20 40 60 80 100 120 140 160

time (days)

num

ber i

nfec

ted

unmitigated closing schools 50% compliance 100% compliance

ID Factor 1.5

0

500

1000

1500

2000

2500

0 20 40 60 80 100 120 140 160

time (days)

num

ber

infe

cted

unmitigated closing schools 50% compliance 100% compliance

1958-like

1918-like

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Modeling for Public Health Action9 - 10 December 2010

Worked with the White House to Formulate Public Policy

51

A year later…For Details see:Local Mitigation Strategies for Pandemic Influenza, RJ Glass, LM Glass, and WE Beyeler, SAND-2005-7955J (Dec, 2005).

Targeted Social Distancing Design for Pandemic Influenza, RJ Glass, LM Glass, WE Beyeler, and HJ Min, Emerging Infectious DiseasesNovember, 2006.

Design of Community Containment for Pandemic Influenza with Loki-Infect, RJ Glass, HJ Min WE Beyeler, and LM Glass, SAND-2007-1184P (Jan, 2007).

Social contact networks for the spread of pandemic influenza in children and teenagers, LM Glass, RJ Glass, BMC Public Health, February, 2008.

Rescinding Community Mitigation Strategies in an Influenza Pandemic, VJ Davey and RJ Glass, Emerging Infectious Diseases, March, 2008.

Effective, Robust Design of Community Mitigation for Pandemic Influenza: A Systematic Examination of Proposed U.S. Guidance, VJ Davey, RJ Glass, HJ Min, WE Beyeler and LM Glass, PLoSOne, July, 2008.

Pandemic Influenza and Complex Adaptive System of Systems (CASoS) Engineering, Glass, R.J., Proceedings of the 2009 International System Dynamics Conference, Albuquerque, New Mexico, July, 2009.

Health Outcomes and Costs of Community Mitigation Strategies for an Influenza Pandemic in the U.S, Perlroth, Daniella J., Robert J. Glass, Victoria J. Davey, Alan M. Garber, Douglas K. Owens, Clinical Infectious Diseases, January, 2010.