Hypernetwork modeling and topology of high-order interactions for complex systems Article Swipe
Feng Li
,
Huiying Gong
,
Shen Zhang
,
Xiang Liu
,
Yu Wang
,
Jincan Che
,
Ang Dong
,
Christopher Griffin
,
Claudia Gragnoli
,
Jie Wu
,
Shing‐Tung Yau
,
Rongling Wu
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1073/pnas.2412220121
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1073/pnas.2412220121
Interactions among the underlying agents of a complex system are not only limited to dyads but can also occur in larger groups. Currently, no generic model has been developed to capture high-order interactions (HOI), which, along with pairwise interactions, portray a detailed landscape of complex systems. Here, we integrate evolutionary game theory and behavioral ecology into a unified statistical mechanics framework, allowing all agents (modeled as nodes) and their bidirectional, signed, and weighted interactions at various orders (modeled as links or hyperlinks) to be coded into hypernetworks. Such hypernetworks can distinguish between how pairwise interactions modulate a third agent (active HOI) and how the altered state of each agent in turn governs interactions between other agents (passive HOI). The simultaneous occurrence of active and passive HOI can drive complex systems to evolve at multiple time and space scales. We apply the model to reconstruct a hypernetwork of hexa-species microbial communities, and by dissecting the topological architecture of the hypernetwork using GLMY homology theory, we find distinct roles of pairwise interactions and HOI in shaping community behavior and dynamics. The statistical relevance of the hypernetwork model is validated using a series of in vitro mono-, co-, and tricultural experiments based on three bacterial species.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1073/pnas.2412220121
- OA Status
- green
- Cited By
- 7
- References
- 63
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4402760895
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4402760895Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1073/pnas.2412220121Digital Object Identifier
- Title
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Hypernetwork modeling and topology of high-order interactions for complex systemsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-09-24Full publication date if available
- Authors
-
Feng Li, Huiying Gong, Shen Zhang, Xiang Liu, Yu Wang, Jincan Che, Ang Dong, Christopher Griffin, Claudia Gragnoli, Jie Wu, Shing‐Tung Yau, Rongling WuList of authors in order
- Landing page
-
https://doi.org/10.1073/pnas.2412220121Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://www.ncbi.nlm.nih.gov/pmc/articles/11459168Direct OA link when available
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Pairwise comparison, Computer science, Complex system, Statistical mechanics, Complex network, Theoretical computer science, Topology (electrical circuits), Artificial intelligence, Statistical physics, Mathematics, Physics, World Wide Web, CombinatoricsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
7Total citation count in OpenAlex
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2025: 6, 2024: 1Per-year citation counts (last 5 years)
- References (count)
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63Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.apply | 139 |
| abstract_inverted_index.based | 198 |
| abstract_inverted_index.coded | 84 |
| abstract_inverted_index.drive | 127 |
| abstract_inverted_index.dyads | 14 |
| abstract_inverted_index.links | 79 |
| abstract_inverted_index.model | 25, 141, 184 |
| abstract_inverted_index.occur | 18 |
| abstract_inverted_index.other | 114 |
| abstract_inverted_index.roles | 166 |
| abstract_inverted_index.space | 136 |
| abstract_inverted_index.state | 105 |
| abstract_inverted_index.their | 68 |
| abstract_inverted_index.third | 97 |
| abstract_inverted_index.three | 200 |
| abstract_inverted_index.using | 159, 187 |
| abstract_inverted_index.vitro | 192 |
| abstract_inverted_index.(HOI), | 33 |
| abstract_inverted_index.active | 122 |
| abstract_inverted_index.agents | 4, 63, 115 |
| abstract_inverted_index.evolve | 131 |
| abstract_inverted_index.larger | 20 |
| abstract_inverted_index.mono-, | 193 |
| abstract_inverted_index.nodes) | 66 |
| abstract_inverted_index.orders | 76 |
| abstract_inverted_index.series | 189 |
| abstract_inverted_index.system | 8 |
| abstract_inverted_index.theory | 51 |
| abstract_inverted_index.which, | 34 |
| abstract_inverted_index.(active | 99 |
| abstract_inverted_index.altered | 104 |
| abstract_inverted_index.between | 91, 113 |
| abstract_inverted_index.capture | 30 |
| abstract_inverted_index.complex | 7, 44, 128 |
| abstract_inverted_index.ecology | 54 |
| abstract_inverted_index.generic | 24 |
| abstract_inverted_index.governs | 111 |
| abstract_inverted_index.groups. | 21 |
| abstract_inverted_index.limited | 12 |
| abstract_inverted_index.passive | 124 |
| abstract_inverted_index.portray | 39 |
| abstract_inverted_index.scales. | 137 |
| abstract_inverted_index.shaping | 173 |
| abstract_inverted_index.signed, | 70 |
| abstract_inverted_index.systems | 129 |
| abstract_inverted_index.theory, | 162 |
| abstract_inverted_index.unified | 57 |
| abstract_inverted_index.various | 75 |
| abstract_inverted_index.(modeled | 64, 77 |
| abstract_inverted_index.(passive | 116 |
| abstract_inverted_index.allowing | 61 |
| abstract_inverted_index.behavior | 175 |
| abstract_inverted_index.detailed | 41 |
| abstract_inverted_index.distinct | 165 |
| abstract_inverted_index.homology | 161 |
| abstract_inverted_index.modulate | 95 |
| abstract_inverted_index.multiple | 133 |
| abstract_inverted_index.pairwise | 37, 93, 168 |
| abstract_inverted_index.species. | 202 |
| abstract_inverted_index.systems. | 45 |
| abstract_inverted_index.weighted | 72 |
| abstract_inverted_index.bacterial | 201 |
| abstract_inverted_index.community | 174 |
| abstract_inverted_index.developed | 28 |
| abstract_inverted_index.dynamics. | 177 |
| abstract_inverted_index.integrate | 48 |
| abstract_inverted_index.landscape | 42 |
| abstract_inverted_index.mechanics | 59 |
| abstract_inverted_index.microbial | 148 |
| abstract_inverted_index.relevance | 180 |
| abstract_inverted_index.validated | 186 |
| abstract_inverted_index.Currently, | 22 |
| abstract_inverted_index.behavioral | 53 |
| abstract_inverted_index.dissecting | 152 |
| abstract_inverted_index.framework, | 60 |
| abstract_inverted_index.high-order | 31 |
| abstract_inverted_index.occurrence | 120 |
| abstract_inverted_index.underlying | 3 |
| abstract_inverted_index.distinguish | 90 |
| abstract_inverted_index.experiments | 197 |
| abstract_inverted_index.hyperlinks) | 81 |
| abstract_inverted_index.reconstruct | 143 |
| abstract_inverted_index.statistical | 58, 179 |
| abstract_inverted_index.topological | 154 |
| abstract_inverted_index.tricultural | 196 |
| abstract_inverted_index.Interactions | 0 |
| abstract_inverted_index.architecture | 155 |
| abstract_inverted_index.communities, | 149 |
| abstract_inverted_index.evolutionary | 49 |
| abstract_inverted_index.hexa-species | 147 |
| abstract_inverted_index.hypernetwork | 145, 158, 183 |
| abstract_inverted_index.interactions | 32, 73, 94, 112, 169 |
| abstract_inverted_index.simultaneous | 119 |
| abstract_inverted_index.hypernetworks | 88 |
| abstract_inverted_index.interactions, | 38 |
| abstract_inverted_index.bidirectional, | 69 |
| abstract_inverted_index.hypernetworks. | 86 |
| cited_by_percentile_year.max | 99 |
| cited_by_percentile_year.min | 90 |
| countries_distinct_count | 3 |
| institutions_distinct_count | 12 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/15 |
| sustainable_development_goals[0].score | 0.6100000143051147 |
| sustainable_development_goals[0].display_name | Life in Land |
| citation_normalized_percentile.value | 0.97950721 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |