{"id":"https://openalex.org/W2022562651","doi":"https://doi.org/10.1371/journal.pcbi.1003411","title":"Intrinsic Noise Induces Critical Behavior in Leaky Markovian Networks Leading to Avalanching","display_name":"Intrinsic Noise Induces Critical Behavior in Leaky Markovian Networks Leading to Avalanching","publication_year":2014,"publication_date":"2014-01-09","ids":{"openalex":"https://openalex.org/W2022562651","doi":"https://doi.org/10.1371/journal.pcbi.1003411","mag":"2022562651","pmid":"https://pubmed.ncbi.nlm.nih.gov/24415927"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1003411","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1003411","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1003411&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1003411&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039319315","display_name":"Garrett Jenkinson","orcid":"https://orcid.org/0000-0003-2548-098X"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Garrett Jenkinson","raw_affiliation_strings":["Whitaker Biomedical Engineering Institute, The Johns Hopkins University, Baltimore, Maryland, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Whitaker Biomedical Engineering Institute, The Johns Hopkins University, Baltimore, Maryland, United States of America","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040506666","display_name":"John Goutsias","orcid":"https://orcid.org/0000-0002-0192-3857"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John Goutsias","raw_affiliation_strings":["Whitaker Biomedical Engineering Institute, The Johns Hopkins University, Baltimore, Maryland, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Whitaker Biomedical Engineering Institute, The Johns Hopkins University, Baltimore, Maryland, United States of America","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040506666"],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09048644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"10","issue":"1","first_page":"e1003411","last_page":"e1003411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.7557079195976257},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.6076858639717102},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46568432450294495},{"id":"https://openalex.org/keywords/energy-landscape","display_name":"Energy landscape","score":0.46435025334358215},{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"Statistical mechanics","score":0.45019155740737915},{"id":"https://openalex.org/keywords/internal-energy","display_name":"Internal energy","score":0.44226667284965515},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.43741676211357117},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4209643006324768},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.38922592997550964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17249774932861328},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.15956908464431763}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.7557079195976257},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.6076858639717102},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46568432450294495},{"id":"https://openalex.org/C119621388","wikidata":"https://www.wikidata.org/wiki/Q5377166","display_name":"Energy landscape","level":2,"score":0.46435025334358215},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.45019155740737915},{"id":"https://openalex.org/C65494353","wikidata":"https://www.wikidata.org/wiki/Q180241","display_name":"Internal energy","level":2,"score":0.44226667284965515},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.43741676211357117},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4209643006324768},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38922592997550964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17249774932861328},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.15956908464431763},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001424","descriptor_name":"Bacterial Infections","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D001424","descriptor_name":"Bacterial Infections","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D001424","descriptor_name":"Bacterial Infections","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009488","descriptor_name":"Neurosciences","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009488","descriptor_name":"Neurosciences","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009488","descriptor_name":"Neurosciences","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013314","descriptor_name":"Stress, Mechanical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013314","descriptor_name":"Stress, Mechanical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013314","descriptor_name":"Stress, Mechanical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013816","descriptor_name":"Thermodynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013816","descriptor_name":"Thermodynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013816","descriptor_name":"Thermodynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D055552","descriptor_name":"Infectious Disease Medicine","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D055552","descriptor_name":"Infectious Disease Medicine","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D055552","descriptor_name":"Infectious Disease Medicine","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false}],"locations_count":6,"locations":[{"id":"doi:10.1371/journal.pcbi.1003411","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1003411","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1003411&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS Computational Biology","raw_type":"journal-article"},{"id":"pmid:24415927","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24415927","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:RePEc:plo:pcbi00:1003411","is_oa":false,"landing_page_url":"https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1003411","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:79e4b8a6f5554884b4e42bbb94650c7c","is_oa":true,"landing_page_url":"https://doaj.org/article/79e4b8a6f5554884b4e42bbb94650c7c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Computational Biology, Vol 10, Iss 1, p e1003411 (2014)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:2874329","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3886886","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"pmh:oai:figshare.com:article/899115","is_oa":true,"landing_page_url":"https://figshare.com/articles/dataset/_Intrinsic_Noise_Induces_Critical_Behavior_in_Leaky_Markovian_Networks_Leading_to_Avalanching_/899115","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dataset"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1003411","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1003411","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1003411&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.9200000166893005,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G124434370","display_name":"CIF: Small: Understanding Complexity in Markovian Interaction Networks: Self-Organization, Functional Stability, Robustness, and Evolutionary Behavior","funder_award_id":"1217213","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2022562651.pdf","grobid_xml":"https://content.openalex.org/works/W2022562651.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1970736635","https://openalex.org/W1973772683","https://openalex.org/W1974631391","https://openalex.org/W1975492702","https://openalex.org/W1982101672","https://openalex.org/W1988597888","https://openalex.org/W1989168705","https://openalex.org/W1989325571","https://openalex.org/W1993803315","https://openalex.org/W1993887342","https://openalex.org/W1998908151","https://openalex.org/W2001516747","https://openalex.org/W2012330198","https://openalex.org/W2033637727","https://openalex.org/W2041921992","https://openalex.org/W2054197488","https://openalex.org/W2061002342","https://openalex.org/W2061365377","https://openalex.org/W2068004760","https://openalex.org/W2070368466","https://openalex.org/W2073937499","https://openalex.org/W2075514521","https://openalex.org/W2079364317","https://openalex.org/W2084148650","https://openalex.org/W2085056826","https://openalex.org/W2096778322","https://openalex.org/W2102787760","https://openalex.org/W2106608252","https://openalex.org/W2122414822","https://openalex.org/W2122803078","https://openalex.org/W2130446433","https://openalex.org/W2139374901","https://openalex.org/W2142211992","https://openalex.org/W2152471738","https://openalex.org/W2594268890","https://openalex.org/W3022585649","https://openalex.org/W3102572323","https://openalex.org/W3104859924"],"related_works":["https://openalex.org/W2998096374","https://openalex.org/W2080690496","https://openalex.org/W2124175595","https://openalex.org/W4320932432","https://openalex.org/W2090433880","https://openalex.org/W2095139726","https://openalex.org/W2067401683","https://openalex.org/W4385429120","https://openalex.org/W3104173552","https://openalex.org/W1989105455"],"abstract_inverted_index":{"The":[0,217],"role":[1],"intrinsic":[2,162],"statistical":[3,46],"fluctuations":[4],"play":[5],"in":[6,17,107,116,235],"creating":[7],"avalanches--patterns":[8],"of":[9,25,62,92,122,133,139,151,161,170,190,205,229],"complex":[10,168,233],"bursting":[11],"activity":[12],"with":[13,40,81],"scale-free":[14],"properties--is":[15],"examined":[16],"leaky":[18],"Markovian":[19],"networks.":[20,242],"Using":[21],"this":[22,127],"broad":[23],"class":[24],"models,":[26],"we":[27],"develop":[28],"a":[29,34,41,60,90,97,105,114,131,148,167,201],"probabilistic":[30],"approach":[31],"that":[32,103,111,158,172],"employs":[33],"potential":[35,67,71,143],"energy":[36,144],"landscape":[37,145],"perspective":[38],"coupled":[39],"macroscopic":[42],"description":[43],"based":[44],"on":[45],"thermodynamics.":[47],"We":[48,125],"identify":[49],"six":[50],"important":[51],"thermodynamic":[52,123],"quantities":[53,86],"essential":[54],"for":[55],"characterizing":[56],"system":[57,174],"behavior":[58],"as":[59,89],"function":[61,91],"network":[63,94,180],"size:":[64],"the":[65,93,117,134,140,227],"internal":[66,73],"energy,":[68,72],"entropy,":[69],"free":[70],"pressure,":[74,75],"and":[76,200,239],"bulk":[77,118],"modulus.":[78],"In":[79],"agreement":[80],"classical":[82],"phase":[83],"transitions,":[84],"these":[85],"evolve":[87],"smoothly":[88],"size":[95],"until":[96],"critical":[98],"value":[99],"is":[100,109],"reached.":[101],"At":[102],"value,":[104],"discontinuity":[106],"pressure":[108],"observed":[110],"leads":[112],"to":[113,130,213,225],"spike":[115],"modulus":[119],"demarcating":[120],"loss":[121],"robustness.":[124],"attribute":[126],"novel":[128],"result":[129],"reallocation":[132],"ground":[135],"states":[136],"(global":[137],"minima)":[138],"system's":[141],"stationary":[142],"caused":[146],"by":[147],"noise-induced":[149],"deformation":[150],"its":[152],"topographic":[153],"surface.":[154],"Further":[155],"analysis":[156],"demonstrates":[157],"appreciable":[159],"levels":[160],"noise":[163],"can":[164,222],"cause":[165],"avalanching,":[166],"mode":[169],"operation":[171],"dominates":[173],"dynamics":[175],"at":[176],"near-critical":[177],"or":[178],"subcritical":[179],"sizes.":[181],"Illustrative":[182],"examples":[183],"are":[184],"provided":[185],"using":[186],"an":[187],"epidemiological":[188],"model":[189,204],"bacterial":[191],"infection,":[192],"where":[193,208],"avalanching":[194,209,230],"has":[195],"not":[196],"been":[197],"characterized":[198],"before,":[199],"previously":[202],"studied":[203],"computational":[206],"neuroscience,":[207],"was":[210],"erroneously":[211],"attributed":[212],"specific":[214],"neural":[215],"architectures.":[216],"general":[218],"methods":[219],"developed":[220],"here":[221],"be":[223],"used":[224],"study":[226],"emergence":[228],"(and":[231],"other":[232],"phenomena)":[234],"many":[236],"biological,":[237],"physical":[238],"man-made":[240],"interaction":[241]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
