Network firewall dynamics and the subsaturation stabilization of HIV

Bilal Khan, Kirk Dombrowski, Mohamed Saad, Katherine McLean, Samuel Friedman

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

In 2001, Friedman et al. conjectured the existence of a "firewall effect" in which individuals who are infected with HIV, but remain in a state of low infectiousness, serve to prevent the virus from spreading. To evaluate this historical conjecture, we develop a new graph-theoretic measure that quantifies the extent to which Friedman's firewall hypothesis (FH) holds in a risk network. We compute this new measure across simulated trajectories of a stochastic discrete dynamical system that models a social network of 25,000 individuals engaging in risk acts over a period of 15 years. The model's parameters are based on analyses of data collected in prior studies of the real-world risk networks of people who inject drugs (PWID) in New York City. Analysis of system trajectories reveals the structural mechanisms by which individuals with mature HIV infections tend to partition the network into homogeneous clusters (with respect to infection status) and how uninfected clusters remain relatively stable (with respect to infection status) over long stretches of time. We confirm the spontaneous emergence of network firewalls in the system and reveal their structural role in the nonspreading of HIV.

Original languageEnglish (US)
Article number720818
JournalDiscrete Dynamics in Nature and Society
Volume2013
DOIs
StatePublished - Jun 28 2013

Fingerprint

Firewall
Stabilization
Trajectories
Infection
Trajectory
Viruses
Stochastic Dynamical Systems
HIV Infection
Discrete Dynamical Systems
Dynamical systems
Stretch
Social Networks
Virus
Drugs
Quantify
Partition
Tend
Evaluate
Graph in graph theory
Model

ASJC Scopus subject areas

  • Modeling and Simulation

Cite this

Network firewall dynamics and the subsaturation stabilization of HIV. / Khan, Bilal; Dombrowski, Kirk; Saad, Mohamed; McLean, Katherine; Friedman, Samuel.

In: Discrete Dynamics in Nature and Society, Vol. 2013, 720818, 28.06.2013.

Research output: Contribution to journalArticle

@article{7caf5e5468e54ac19c503e39a46e13ae,
title = "Network firewall dynamics and the subsaturation stabilization of HIV",
abstract = "In 2001, Friedman et al. conjectured the existence of a {"}firewall effect{"} in which individuals who are infected with HIV, but remain in a state of low infectiousness, serve to prevent the virus from spreading. To evaluate this historical conjecture, we develop a new graph-theoretic measure that quantifies the extent to which Friedman's firewall hypothesis (FH) holds in a risk network. We compute this new measure across simulated trajectories of a stochastic discrete dynamical system that models a social network of 25,000 individuals engaging in risk acts over a period of 15 years. The model's parameters are based on analyses of data collected in prior studies of the real-world risk networks of people who inject drugs (PWID) in New York City. Analysis of system trajectories reveals the structural mechanisms by which individuals with mature HIV infections tend to partition the network into homogeneous clusters (with respect to infection status) and how uninfected clusters remain relatively stable (with respect to infection status) over long stretches of time. We confirm the spontaneous emergence of network firewalls in the system and reveal their structural role in the nonspreading of HIV.",
author = "Bilal Khan and Kirk Dombrowski and Mohamed Saad and Katherine McLean and Samuel Friedman",
year = "2013",
month = "6",
day = "28",
doi = "10.1155/2013/720818",
language = "English (US)",
volume = "2013",
journal = "Discrete Dynamics in Nature and Society",
issn = "1026-0226",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Network firewall dynamics and the subsaturation stabilization of HIV

AU - Khan, Bilal

AU - Dombrowski, Kirk

AU - Saad, Mohamed

AU - McLean, Katherine

AU - Friedman, Samuel

PY - 2013/6/28

Y1 - 2013/6/28

N2 - In 2001, Friedman et al. conjectured the existence of a "firewall effect" in which individuals who are infected with HIV, but remain in a state of low infectiousness, serve to prevent the virus from spreading. To evaluate this historical conjecture, we develop a new graph-theoretic measure that quantifies the extent to which Friedman's firewall hypothesis (FH) holds in a risk network. We compute this new measure across simulated trajectories of a stochastic discrete dynamical system that models a social network of 25,000 individuals engaging in risk acts over a period of 15 years. The model's parameters are based on analyses of data collected in prior studies of the real-world risk networks of people who inject drugs (PWID) in New York City. Analysis of system trajectories reveals the structural mechanisms by which individuals with mature HIV infections tend to partition the network into homogeneous clusters (with respect to infection status) and how uninfected clusters remain relatively stable (with respect to infection status) over long stretches of time. We confirm the spontaneous emergence of network firewalls in the system and reveal their structural role in the nonspreading of HIV.

AB - In 2001, Friedman et al. conjectured the existence of a "firewall effect" in which individuals who are infected with HIV, but remain in a state of low infectiousness, serve to prevent the virus from spreading. To evaluate this historical conjecture, we develop a new graph-theoretic measure that quantifies the extent to which Friedman's firewall hypothesis (FH) holds in a risk network. We compute this new measure across simulated trajectories of a stochastic discrete dynamical system that models a social network of 25,000 individuals engaging in risk acts over a period of 15 years. The model's parameters are based on analyses of data collected in prior studies of the real-world risk networks of people who inject drugs (PWID) in New York City. Analysis of system trajectories reveals the structural mechanisms by which individuals with mature HIV infections tend to partition the network into homogeneous clusters (with respect to infection status) and how uninfected clusters remain relatively stable (with respect to infection status) over long stretches of time. We confirm the spontaneous emergence of network firewalls in the system and reveal their structural role in the nonspreading of HIV.

UR - http://www.scopus.com/inward/record.url?scp=84879314367&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84879314367&partnerID=8YFLogxK

U2 - 10.1155/2013/720818

DO - 10.1155/2013/720818

M3 - Article

C2 - 25083120

AN - SCOPUS:84879314367

VL - 2013

JO - Discrete Dynamics in Nature and Society

JF - Discrete Dynamics in Nature and Society

SN - 1026-0226

M1 - 720818

ER -