{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,15]],"date-time":"2026-07-15T12:20:22Z","timestamp":1784118022372,"version":"3.55.0"},"reference-count":91,"publisher":"Wiley","issue":"7","license":[{"start":{"date-parts":[[2011,5,12]],"date-time":"2011-05-12T00:00:00Z","timestamp":1305158400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Human Brain Mapping"],"published-print":{"date-parts":[[2012,7]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Theory and experimental evidence suggest that complex living systems function close to the boundary of chaos, with erroneous organization to an improper dynamical range (too stiff or chaotic) underlying system\u2010wide dysregulation and disease. We hypothesized that erroneous organization might therefore also characterize paranoid schizophrenia, via optimization abnormalities in the prefrontal\u2010limbic circuit regulating emotion. To test this, we acquired fMRI scans from 35 subjects (<jats:italic>N<\/jats:italic>= 9 patients with paranoid schizophrenia and<jats:italic>N<\/jats:italic>= 26 healthy controls), while they viewed affect\u2010valent stimuli. To quantify dynamic regulation, we analyzed the power spectrum scale invariance (PSSI) of fMRI time\u2010courses and computed the geometry of time\u2010delay (Poincar\u00e9) maps, a measure of variability. Patients and controls showed distinct PSSI in two clusters (<jats:italic>k<\/jats:italic><jats:sub>1<\/jats:sub>:<jats:italic>Z<\/jats:italic>= 4.3215,<jats:italic>P<\/jats:italic>= 0.00002 and<jats:italic>k<\/jats:italic><jats:sub>2<\/jats:sub>:<jats:italic>Z<\/jats:italic>= 3.9441,<jats:italic>P<\/jats:italic>= 0.00008), localized to the orbitofrontal\/medial prefrontal cortex (Brodmann Area 10), represented by \u03b2 close to white noise in patients (\u03b2 \u2248 0) and in the pink noise range in controls (\u03b2 \u2248 \u22121). Interpreting the meaning of PSSI differences, the Poincar\u00e9 maps indicated less variability in patients than controls (<jats:italic>Z<\/jats:italic>= \u22121.9437,<jats:italic>P<\/jats:italic>= 0.05 for<jats:italic>k<\/jats:italic><jats:sub>1<\/jats:sub>;<jats:italic>Z<\/jats:italic>= \u22122.5099,<jats:italic>P<\/jats:italic>= 0.01 for<jats:italic>k<\/jats:italic><jats:sub>2<\/jats:sub>). That the dynamics identified Brodmann Area 10 is consistent with previous schizophrenia research, which implicates this area in deficits of working memory, executive functioning, emotional regulation and underlying biological abnormalities in synaptic (glutamatergic) transmission. Our results additionally cohere with a large body of work finding pink noise to be the normal range of central function at the synaptic, cellular, and small network levels, and suggest that patients show less supple responsivity of this region. Hum Brain Mapp, 2011. \u00a9 2011 Wiley\u2010Liss, Inc.<\/jats:p>","DOI":"10.1002\/hbm.21309","type":"journal-article","created":{"date-parts":[[2011,5,12]],"date-time":"2011-05-12T19:51:51Z","timestamp":1305229911000},"page":"1582-1593","source":"Crossref","is-referenced-by-count":25,"title":["Power spectrum scale invariance identifies prefrontal dysregulation in paranoid schizophrenia"],"prefix":"10.1002","volume":"33","author":[{"given":"Anca R.","family":"Radulescu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Denis","family":"Rubin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Helmut H.","family":"Strey","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lilianne R.","family":"Mujica\u2010Parodi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2011,5,12]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-36675-1"},{"key":"e_1_2_7_3_1","doi-asserted-by":"publisher","DOI":"10.1177\/074873099129001028"},{"key":"e_1_2_7_4_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1974.1100705"},{"key":"e_1_2_7_5_1","volume-title":"Diagnostic and Statistical Manual of Mental Disorders DSM\u2010IV\u2010TR","author":"American Psychiatric Association","year":"2000"},{"key":"e_1_2_7_6_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0307156101"},{"key":"e_1_2_7_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/0028-3932(95)00133-6"},{"key":"e_1_2_7_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.clinph.2007.06.012"},{"key":"e_1_2_7_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0006-3223(02)01360-4"},{"key":"e_1_2_7_10_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.97.118102"},{"key":"e_1_2_7_11_1","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.23-35-11167.2003"},{"key":"e_1_2_7_12_1","doi-asserted-by":"publisher","DOI":"10.1152\/japplphysiol.01037.2002"},{"key":"e_1_2_7_13_1","doi-asserted-by":"publisher","DOI":"10.1176\/appi.ajp.161.4.742"},{"key":"e_1_2_7_14_1","doi-asserted-by":"publisher","DOI":"10.1006\/nimg.2001.1019"},{"key":"e_1_2_7_15_1","doi-asserted-by":"publisher","DOI":"10.1109\/10.959330"},{"key":"e_1_2_7_16_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.95.3.891"},{"key":"e_1_2_7_17_1","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780195301069.001.0001"},{"key":"e_1_2_7_18_1","doi-asserted-by":"publisher","DOI":"10.1137\/070710111"},{"key":"e_1_2_7_19_1","first-page":"875","article-title":"[Heart rate variability, frequency domain analysis: Use and applications in psychiatry]","volume":"134","author":"Cohen H","year":"1998","journal-title":"Harefuah"},{"key":"e_1_2_7_20_1","doi-asserted-by":"publisher","DOI":"10.1159\/000012314"},{"key":"e_1_2_7_21_1","doi-asserted-by":"publisher","DOI":"10.1088\/0967-3334\/28\/1\/008"},{"key":"e_1_2_7_22_1","first-page":"1326","article-title":"Frequencies contributing to functional connectivity in the cerebral cortex in \u201cresting\u2010state\u201d data","volume":"22","author":"Cordes D","year":"2001","journal-title":"AJNR Am J Neuroradiol"},{"key":"e_1_2_7_23_1","first-page":"4","article-title":"Mathematical analysis of EEG of patients with non\u2010fatal nonspecific diffuse encephalitis","volume":"3","author":"Doble M","year":"2007","journal-title":"Int J Biol Life Sci"},{"key":"e_1_2_7_24_1","doi-asserted-by":"publisher","DOI":"10.1002\/hbm.20601"},{"key":"e_1_2_7_25_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1469-8749.2008.02026.x"},{"key":"e_1_2_7_26_1","doi-asserted-by":"publisher","DOI":"10.1016\/0191-8869(85)90026-1"},{"key":"e_1_2_7_27_1","volume-title":"Structured Clinical Interview for DSM\u2010IV\u2010TR Axis I Disorders, Research Version, Patient Edition, (SCID\u2010I\/P)","author":"First MB","year":"2002"},{"key":"e_1_2_7_28_1","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.5474-06.2007"},{"key":"e_1_2_7_29_1","doi-asserted-by":"publisher","DOI":"10.1176\/appi.ajp.2009.08091445"},{"key":"e_1_2_7_30_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuropsychologia.2008.03.025"},{"key":"e_1_2_7_31_1","doi-asserted-by":"publisher","DOI":"10.1038\/35065745"},{"key":"e_1_2_7_32_1","doi-asserted-by":"publisher","DOI":"10.1067\/mhj.2000.109981"},{"key":"e_1_2_7_33_1","doi-asserted-by":"publisher","DOI":"10.1001\/archpsyc.1995.03950230061009"},{"key":"e_1_2_7_34_1","doi-asserted-by":"publisher","DOI":"10.2170\/physiolsci.RP005506"},{"key":"e_1_2_7_35_1","doi-asserted-by":"publisher","DOI":"10.1161\/CIRCULATIONAHA.104.518449"},{"key":"e_1_2_7_36_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpsychires.2009.07.011"},{"key":"e_1_2_7_37_1","doi-asserted-by":"publisher","DOI":"10.1161\/01.CIR.96.3.842"},{"key":"e_1_2_7_38_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00429-007-0166-9"},{"key":"e_1_2_7_39_1","doi-asserted-by":"publisher","DOI":"10.1042\/cs0910201"},{"key":"e_1_2_7_40_1","doi-asserted-by":"crossref","first-page":"709","DOI":"10.1093\/oso\/9780195079517.001.0001","volume-title":"The Origins of Order: Self\u2010Organization and Selection in Evolution","author":"Kauffman SA","year":"1993"},{"key":"e_1_2_7_41_1","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1781(88)90038-8"},{"key":"e_1_2_7_42_1","doi-asserted-by":"publisher","DOI":"10.1515\/CCLM.2003.190"},{"key":"e_1_2_7_43_1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1000314"},{"key":"e_1_2_7_44_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-133X(98)00134-1"},{"key":"e_1_2_7_45_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.97.4.1867"},{"key":"e_1_2_7_46_1","doi-asserted-by":"publisher","DOI":"10.1152\/ajpregu.1998.275.3.R720"},{"key":"e_1_2_7_47_1","doi-asserted-by":"publisher","DOI":"10.1213\/01.ANE.0000112311.94466 F1"},{"key":"e_1_2_7_48_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1025048802629"},{"key":"e_1_2_7_49_1","doi-asserted-by":"publisher","DOI":"10.1038\/nphys758"},{"key":"e_1_2_7_50_1","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.21-04-01370.2001"},{"key":"e_1_2_7_51_1","doi-asserted-by":"publisher","DOI":"10.1002\/cpp.693"},{"key":"e_1_2_7_52_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(74)90121-0"},{"key":"e_1_2_7_53_1","doi-asserted-by":"publisher","DOI":"10.1176\/appi.ajp.162.3.475"},{"key":"e_1_2_7_54_1","doi-asserted-by":"publisher","DOI":"10.1137\/0111030"},{"key":"e_1_2_7_55_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0301-0511(01)00074-6"},{"key":"e_1_2_7_56_1","doi-asserted-by":"publisher","DOI":"10.1001\/archpsyc.57.7.637"},{"key":"e_1_2_7_57_1","doi-asserted-by":"publisher","DOI":"10.1016\/0920-9964(96)88522-7"},{"key":"e_1_2_7_58_1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0004338"},{"key":"e_1_2_7_59_1","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.1910370407"},{"key":"e_1_2_7_60_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0006-3495(99)77236-X"},{"key":"e_1_2_7_61_1","doi-asserted-by":"publisher","DOI":"10.1017\/S1092852900022276"},{"key":"e_1_2_7_62_1","doi-asserted-by":"publisher","DOI":"10.1002\/hbm.20483"},{"key":"e_1_2_7_63_1","doi-asserted-by":"publisher","DOI":"10.1159\/000082850"},{"key":"e_1_2_7_64_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.56.R2387"},{"key":"e_1_2_7_65_1","first-page":"47","article-title":"New mechanisms of excitatory transmitter neurotoxicity","volume":"43","author":"Olney JW","year":"1994","journal-title":"J Neural Transm Suppl"},{"key":"e_1_2_7_66_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1781(97)00060-7"},{"key":"e_1_2_7_67_1","doi-asserted-by":"publisher","DOI":"10.1176\/ajp.153.5.714"},{"key":"e_1_2_7_68_1","doi-asserted-by":"publisher","DOI":"10.1063\/1.166141"},{"key":"e_1_2_7_69_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.1343"},{"key":"e_1_2_7_70_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuron.2004.08.042"},{"key":"e_1_2_7_71_1","doi-asserted-by":"publisher","DOI":"10.1088\/0967-3334\/28\/3\/005"},{"key":"e_1_2_7_72_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0006-3495(96)79825-9"},{"key":"e_1_2_7_73_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2008.05.009"},{"key":"e_1_2_7_74_1","doi-asserted-by":"publisher","DOI":"10.1159\/000151731"},{"key":"e_1_2_7_75_1","doi-asserted-by":"publisher","DOI":"10.1176\/appi.ajp.2009.08091307"},{"key":"e_1_2_7_76_1","doi-asserted-by":"publisher","DOI":"10.1046\/j.1365-2265.2003.01776.x"},{"key":"e_1_2_7_77_1","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.23-35-11054.2003"},{"key":"e_1_2_7_78_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.encep.2008.06.016"},{"key":"e_1_2_7_79_1","doi-asserted-by":"publisher","DOI":"10.1002\/hbm.10062"},{"key":"e_1_2_7_80_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2009.12.021"},{"key":"e_1_2_7_81_1","doi-asserted-by":"publisher","DOI":"10.1161\/CIRCULATIONAHA.104.523712"},{"key":"e_1_2_7_82_1","doi-asserted-by":"publisher","DOI":"10.1001\/archpsyc.63.5.509"},{"key":"e_1_2_7_83_1","doi-asserted-by":"publisher","DOI":"10.1037\/0096-3445.134.1.117"},{"key":"e_1_2_7_84_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1781(98)00038-9"},{"key":"e_1_2_7_85_1","doi-asserted-by":"publisher","DOI":"10.1152\/jn.00870.2007"},{"key":"e_1_2_7_86_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0920-9964(02)00325-0"},{"key":"e_1_2_7_87_1","volume-title":"Dynamical Cognitive Science","author":"Ward L","year":"2002"},{"key":"e_1_2_7_88_1","doi-asserted-by":"publisher","DOI":"10.1176\/appi.ajp.161.3.480"},{"key":"e_1_2_7_89_1","doi-asserted-by":"publisher","DOI":"10.1088\/0967-3334\/23\/2\/314"},{"key":"e_1_2_7_90_1","doi-asserted-by":"publisher","DOI":"10.1097\/00001756-200211150-00005"},{"key":"e_1_2_7_91_1","doi-asserted-by":"publisher","DOI":"10.1191\/0962280203sm340ra"},{"key":"e_1_2_7_92_1","doi-asserted-by":"publisher","DOI":"10.1176\/appi.ajp.2008.07060945"}],"container-title":["Human Brain Mapping"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fhbm.21309","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/hbm.21309","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,6]],"date-time":"2024-04-06T18:06:49Z","timestamp":1712426809000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/hbm.21309"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,5,12]]},"references-count":91,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2012,7]]}},"alternative-id":["10.1002\/hbm.21309"],"URL":"https:\/\/doi.org\/10.1002\/hbm.21309","archive":["Portico"],"relation":{},"ISSN":["1065-9471","1097-0193"],"issn-type":[{"value":"1065-9471","type":"print"},{"value":"1097-0193","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,5,12]]}}}