Network Firewall Dynamics and the Subsaturation Stabilization of HIV
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 quan...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/720818 |
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| _version_ | 1832559501337690112 |
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| author | Bilal Khan Kirk Dombrowski Mohamed Saad Katherine McLean Samuel Friedman |
| author_facet | Bilal Khan Kirk Dombrowski Mohamed Saad Katherine McLean Samuel Friedman |
| author_sort | Bilal Khan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-931d32dec7c949799c604a266d5b3f95 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-931d32dec7c949799c604a266d5b3f952025-02-03T01:29:58ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/720818720818Network Firewall Dynamics and the Subsaturation Stabilization of HIVBilal Khan0Kirk Dombrowski1Mohamed Saad2Katherine McLean3Samuel Friedman4Department of Math and Computer Science, John Jay College (CUNY), New York, NY 10019, USADepartment of Anthropology, John Jay College (CUNY), New York, NY 10019, USASocial Networks Research Group, John Jay College (CUNY), New York, NY 10019, USADepartment of Sociology, CUNY Graduate Center, New York, NY 10016, USAInstitute for AIDS Research at National Development and Research Institutes, Inc., New York, NY 10010, USAIn 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.http://dx.doi.org/10.1155/2013/720818 |
| spellingShingle | Bilal Khan Kirk Dombrowski Mohamed Saad Katherine McLean Samuel Friedman Network Firewall Dynamics and the Subsaturation Stabilization of HIV Discrete Dynamics in Nature and Society |
| title | Network Firewall Dynamics and the Subsaturation Stabilization of HIV |
| title_full | Network Firewall Dynamics and the Subsaturation Stabilization of HIV |
| title_fullStr | Network Firewall Dynamics and the Subsaturation Stabilization of HIV |
| title_full_unstemmed | Network Firewall Dynamics and the Subsaturation Stabilization of HIV |
| title_short | Network Firewall Dynamics and the Subsaturation Stabilization of HIV |
| title_sort | network firewall dynamics and the subsaturation stabilization of hiv |
| url | http://dx.doi.org/10.1155/2013/720818 |
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