Using active matter to introduce spatial heterogeneity to the susceptible infected recovered model of epidemic spreading

Forgács, P.; Libál, A.; Reichhardt, C.; Hengartner, N.; Reichhardt, C. J. O.

doi:10.1038/s41598-022-15223-5

Title: Using active matter to introduce spatial heterogeneity to the susceptible infected recovered model of epidemic spreading

Abstract

Abstract The widely used susceptible-infected-recovered (S-I-R) epidemic model assumes a uniform, well-mixed population, and incorporation of spatial heterogeneities remains a major challenge. Understanding failures of the mixing assumption is important for designing effective disease mitigation approaches. We combine a run-and-tumble self-propelled active matter system with an S-I-R model to capture the effects of spatial disorder. Working in the motility-induced phase separation regime both with and without quenched disorder, we find two epidemic regimes. For low transmissibility, quenched disorder lowers the frequency of epidemics and increases their average duration. For high transmissibility, the epidemic spreads as a front and the epidemic curves are less sensitive to quenched disorder; however, within this regime it is possible for quenched disorder to enhance the contagion by creating regions of higher particle densities. We discuss how this system could be realized using artificial swimmers with mobile optical traps operated on a feedback loop.

Authors:: Forgács, P.; Libál, A.; Reichhardt, C.; Hengartner, N.; Reichhardt, C. J. O.

Publication Date:: Mon Jul 04 00:00:00 EDT 2022

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1874849

Grant/Contract Number:: 892333218NCA000001

Resource Type:: Published Article

Journal Name:: Scientific Reports

Additional Journal Information:: Journal Name: Scientific Reports Journal Volume: 12 Journal Issue: 1; Journal ID: ISSN 2045-2322

Publisher:: Nature Publishing Group

Country of Publication:: United Kingdom

Language:: English

Citation Formats


                    Forgács, P., Libál, A., Reichhardt, C., Hengartner, N., and Reichhardt, C. J. O. Using active matter to introduce spatial heterogeneity to the susceptible infected recovered model of epidemic spreading.  United Kingdom: N. p., 2022. 
Web.  doi:10.1038/s41598-022-15223-5.

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                    Forgács, P., Libál, A., Reichhardt, C., Hengartner, N., & Reichhardt, C. J. O. Using active matter to introduce spatial heterogeneity to the susceptible infected recovered model of epidemic spreading.  United Kingdom.  https://doi.org/10.1038/s41598-022-15223-5

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                    Forgács, P., Libál, A., Reichhardt, C., Hengartner, N., and Reichhardt, C. J. O. Mon .  
"Using active matter to introduce spatial heterogeneity to the susceptible infected recovered model of epidemic spreading".  United Kingdom.  https://doi.org/10.1038/s41598-022-15223-5.

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@article{osti_1874849,

  title        = {Using active matter to introduce spatial heterogeneity to the susceptible infected recovered model of epidemic spreading},

  author       = {Forgács, P. and Libál, A. and Reichhardt, C. and Hengartner, N. and Reichhardt, C. J. O.},

  abstractNote = {Abstract The widely used susceptible-infected-recovered (S-I-R) epidemic model assumes a uniform, well-mixed population, and incorporation of spatial heterogeneities remains a major challenge. Understanding failures of the mixing assumption is important for designing effective disease mitigation approaches. We combine a run-and-tumble self-propelled active matter system with an S-I-R model to capture the effects of spatial disorder. Working in the motility-induced phase separation regime both with and without quenched disorder, we find two epidemic regimes. For low transmissibility, quenched disorder lowers the frequency of epidemics and increases their average duration. For high transmissibility, the epidemic spreads as a front and the epidemic curves are less sensitive to quenched disorder; however, within this regime it is possible for quenched disorder to enhance the contagion by creating regions of higher particle densities. We discuss how this system could be realized using artificial swimmers with mobile optical traps operated on a feedback loop.},

  doi          = {10.1038/s41598-022-15223-5},

  journal      = {Scientific Reports},

  number       = 1,

  volume       = 12,

  place        = {United Kingdom},

  year         = {Mon Jul 04 00:00:00 EDT 2022},

  month        = {Mon Jul 04 00:00:00 EDT 2022}

}

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Title: Using active matter to introduce spatial heterogeneity to the susceptible infected recovered model of epidemic spreading

Abstract

Citation Formats

Susceptible–infected–recovered epidemics in dynamic contact networks journal, September 2007

Disease spreading in populations of moving agents journal, April 2008

A Suite of Mechanistic Epidemiological Decision Support Tools journal, May 2018

Hydrodynamics of soft active matter journal, July 2013

Living Crystals of Light-Activated Colloidal Surfers journal, January 2013

Formation of stable and responsive collective states in suspensions of active colloids journal, May 2020

Effects of confinement and vaccination on an epidemic outburst: A statistical mechanics approach journal, September 2021

A Contribution to the Mathematical Theory of Epidemics journal, August 1927

A Note on the Derivation of Epidemic Final Sizes journal, July 2012

Bacterial hopping and trapping in porous media journal, May 2019

Contagion dynamics in self-organized systems of self-propelled agents journal, February 2022

Epidemic processes in complex networks journal, August 2015

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Effects of social distancing and isolation on epidemic spreading modeled via dynamical density functional theory journal, November 2020

The effects of local spatial structure on epidemiological invasions journal, April 1999

Susceptible-infectious-recovered models revisited: From the individual level to the population level journal, April 2014

Modelling disease outbreaks in realistic urban social networks journal, May 2004

Epidemic size and probability in populations with heterogeneous infectivity and susceptibility journal, July 2007

Dynamical network model of infective mobile agents journal, September 2006

Particle velocity controls phase transitions in contagion dynamics journal, April 2019

Dynamics of infectious diseases journal, January 2014

The Mathematics of Infectious Diseases journal, January 2000

Automata network SIR models for the spread of infectious diseases in populations of moving individuals journal, May 1992

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Group formation and cohesion of active particles with visual perception–dependent motility journal, April 2019

Mitigation strategies for pandemic influenza in the United States journal, April 2006

Dynamics and Steady States in Excitable Mobile Agent Systems journal, April 2008

Information and motility exchange in collectives of active particles journal, January 2020

Motility-Induced Phase Separation journal, March 2015

Understanding contagion dynamics through microscopic processes in active Brownian particles journal, November 2020

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Active Particles in Complex and Crowded Environments journal, November 2016

Pattern transitions in spatial epidemics: Mechanisms and emergent properties journal, December 2016

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Active matter transport and jamming on disordered landscapes journal, July 2014

Disorder-mediated crowd control in an active matter system journal, March 2016

Structure and Dynamics of a Phase-Separating Active Colloidal Fluid journal, January 2013

Phototaxis of synthetic microswimmers in optical landscapes journal, September 2016

Susceptible–infected–recovered epidemics in dynamic contact networks
journal, September 2007

Disease spreading in populations of moving agents
journal, April 2008

A Suite of Mechanistic Epidemiological Decision Support Tools
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journal, July 2013

Living Crystals of Light-Activated Colloidal Surfers
journal, January 2013

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Effects of confinement and vaccination on an epidemic outburst: A statistical mechanics approach
journal, September 2021

A Contribution to the Mathematical Theory of Epidemics
journal, August 1927

A Note on the Derivation of Epidemic Final Sizes
journal, July 2012

Bacterial hopping and trapping in porous media
journal, May 2019

Contagion dynamics in self-organized systems of self-propelled agents
journal, February 2022

Epidemic processes in complex networks
journal, August 2015

Active Brownian particles moving through disordered landscapes
journal, January 2021

Effects of social distancing and isolation on epidemic spreading modeled via dynamical density functional theory
journal, November 2020

The effects of local spatial structure on epidemiological invasions
journal, April 1999

Susceptible-infectious-recovered models revisited: From the individual level to the population level
journal, April 2014

Modelling disease outbreaks in realistic urban social networks
journal, May 2004

Epidemic size and probability in populations with heterogeneous infectivity and susceptibility
journal, July 2007

Dynamical network model of infective mobile agents
journal, September 2006

Particle velocity controls phase transitions in contagion dynamics
journal, April 2019

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journal, January 2014

The Mathematics of Infectious Diseases
journal, January 2000

Automata network SIR models for the spread of infectious diseases in populations of moving individuals
journal, May 1992

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journal, June 2019

Group formation and cohesion of active particles with visual perception–dependent motility
journal, April 2019

Mitigation strategies for pandemic influenza in the United States
journal, April 2006

Dynamics and Steady States in Excitable Mobile Agent Systems
journal, April 2008

Information and motility exchange in collectives of active particles
journal, January 2020

Motility-Induced Phase Separation
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Understanding contagion dynamics through microscopic processes in active Brownian particles
journal, November 2020

Collective response of microrobotic swarms to external threats
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Five challenges for spatial epidemic models
journal, March 2015

Active Particles in Complex and Crowded Environments
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Athermal Phase Separation of Self-Propelled Particles with No Alignment
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Active matter transport and jamming on disordered landscapes
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Disorder-mediated crowd control in an active matter system
journal, March 2016

Structure and Dynamics of a Phase-Separating Active Colloidal Fluid
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Phototaxis of synthetic microswimmers in optical landscapes
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