Toward a more reliable characterization of fractal properties of the cerebral cortex of healthy subjects during the lifespan
The cerebral cortex manifests an inherent structural complexity of folding. The fractal geometry describes the complexity of structures which show self-similarity in a proper interval of spatial scales. In this study, we aimed at evaluating in-vivo the effect of different criteria for selecting the...
Saved in:
Published in | Scientific reports Vol. 10; no. 1; p. 16957 |
---|---|
Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
London
Nature Publishing Group UK
12.10.2020
|
Subjects | |
Online Access | Get full text |
ISSN | 2045-2322 2045-2322 |
DOI | 10.1038/s41598-020-73961-w |
Cover
Loading…
Abstract | The cerebral cortex manifests an inherent structural complexity of folding. The fractal geometry describes the complexity of structures which show self-similarity in a proper interval of spatial scales. In this study, we aimed at evaluating in-vivo the effect of different criteria for selecting the interval of spatial scales in the estimation of the fractal dimension (FD) of the cerebral cortex in T
1
-weighted magnetic resonance imaging (MRI). We compared four different strategies, including two a priori selections of the interval of spatial scales, an automated selection of the spatial scales within which the cerebral cortex manifests the highest statistical self-similarity, and an improved approach, based on the search of the interval of spatial scales which presents the highest rounded R
2
adj
coefficient and, in case of equal rounded R
2
adj
coefficient, preferring the widest interval in the log–log plot. We employed two public and international datasets of in-vivo MRI scans for a total of 159 healthy subjects (age range 6–85 years). The improved approach showed strong associations of FD with age and yielded the most accurate machine learning models for individual age prediction in both datasets. Our results indicate that the selection of the interval of spatial scales of the cerebral cortex is thus critical in the estimation of FD. |
---|---|
AbstractList | The cerebral cortex manifests an inherent structural complexity of folding. The fractal geometry describes the complexity of structures which show self-similarity in a proper interval of spatial scales. In this study, we aimed at evaluating in-vivo the effect of different criteria for selecting the interval of spatial scales in the estimation of the fractal dimension (FD) of the cerebral cortex in T
-weighted magnetic resonance imaging (MRI). We compared four different strategies, including two a priori selections of the interval of spatial scales, an automated selection of the spatial scales within which the cerebral cortex manifests the highest statistical self-similarity, and an improved approach, based on the search of the interval of spatial scales which presents the highest rounded R
coefficient and, in case of equal rounded R
coefficient, preferring the widest interval in the log-log plot. We employed two public and international datasets of in-vivo MRI scans for a total of 159 healthy subjects (age range 6-85 years). The improved approach showed strong associations of FD with age and yielded the most accurate machine learning models for individual age prediction in both datasets. Our results indicate that the selection of the interval of spatial scales of the cerebral cortex is thus critical in the estimation of FD. The cerebral cortex manifests an inherent structural complexity of folding. The fractal geometry describes the complexity of structures which show self-similarity in a proper interval of spatial scales. In this study, we aimed at evaluating in-vivo the effect of different criteria for selecting the interval of spatial scales in the estimation of the fractal dimension (FD) of the cerebral cortex in T 1 -weighted magnetic resonance imaging (MRI). We compared four different strategies, including two a priori selections of the interval of spatial scales, an automated selection of the spatial scales within which the cerebral cortex manifests the highest statistical self-similarity, and an improved approach, based on the search of the interval of spatial scales which presents the highest rounded R 2 adj coefficient and, in case of equal rounded R 2 adj coefficient, preferring the widest interval in the log–log plot. We employed two public and international datasets of in-vivo MRI scans for a total of 159 healthy subjects (age range 6–85 years). The improved approach showed strong associations of FD with age and yielded the most accurate machine learning models for individual age prediction in both datasets. Our results indicate that the selection of the interval of spatial scales of the cerebral cortex is thus critical in the estimation of FD. The cerebral cortex manifests an inherent structural complexity of folding. The fractal geometry describes the complexity of structures which show self-similarity in a proper interval of spatial scales. In this study, we aimed at evaluating in-vivo the effect of different criteria for selecting the interval of spatial scales in the estimation of the fractal dimension (FD) of the cerebral cortex in T1-weighted magnetic resonance imaging (MRI). We compared four different strategies, including two a priori selections of the interval of spatial scales, an automated selection of the spatial scales within which the cerebral cortex manifests the highest statistical self-similarity, and an improved approach, based on the search of the interval of spatial scales which presents the highest rounded R2adj coefficient and, in case of equal rounded R2adj coefficient, preferring the widest interval in the log-log plot. We employed two public and international datasets of in-vivo MRI scans for a total of 159 healthy subjects (age range 6-85 years). The improved approach showed strong associations of FD with age and yielded the most accurate machine learning models for individual age prediction in both datasets. Our results indicate that the selection of the interval of spatial scales of the cerebral cortex is thus critical in the estimation of FD.The cerebral cortex manifests an inherent structural complexity of folding. The fractal geometry describes the complexity of structures which show self-similarity in a proper interval of spatial scales. In this study, we aimed at evaluating in-vivo the effect of different criteria for selecting the interval of spatial scales in the estimation of the fractal dimension (FD) of the cerebral cortex in T1-weighted magnetic resonance imaging (MRI). We compared four different strategies, including two a priori selections of the interval of spatial scales, an automated selection of the spatial scales within which the cerebral cortex manifests the highest statistical self-similarity, and an improved approach, based on the search of the interval of spatial scales which presents the highest rounded R2adj coefficient and, in case of equal rounded R2adj coefficient, preferring the widest interval in the log-log plot. We employed two public and international datasets of in-vivo MRI scans for a total of 159 healthy subjects (age range 6-85 years). The improved approach showed strong associations of FD with age and yielded the most accurate machine learning models for individual age prediction in both datasets. Our results indicate that the selection of the interval of spatial scales of the cerebral cortex is thus critical in the estimation of FD. |
ArticleNumber | 16957 |
Author | Marzi, Chiara Mascalchi, Mario Diciotti, Stefano Giannelli, Marco Tessa, Carlo |
Author_xml | – sequence: 1 givenname: Chiara surname: Marzi fullname: Marzi, Chiara organization: Department of Electrical, Electronic, and Information Engineering “Guglielmo Marconi”, University of Bologna – sequence: 2 givenname: Marco surname: Giannelli fullname: Giannelli, Marco organization: Unit of Medical Physics, Pisa University Hospital “Azienda Ospedaliero-Universitaria Pisana” – sequence: 3 givenname: Carlo surname: Tessa fullname: Tessa, Carlo organization: Division of Radiology, Versilia Hospital, Azienda USL Toscana Nord Ovest – sequence: 4 givenname: Mario surname: Mascalchi fullname: Mascalchi, Mario organization: “Mario Serio” Department of Experimental and Clinical Biomedical Sciences, University of Florence – sequence: 5 givenname: Stefano surname: Diciotti fullname: Diciotti, Stefano email: stefano.diciotti@unibo.it organization: Department of Electrical, Electronic, and Information Engineering “Guglielmo Marconi”, University of Bologna |
BackLink | https://www.ncbi.nlm.nih.gov/pubmed/33046812$$D View this record in MEDLINE/PubMed |
BookMark | eNp9UUtv1DAQtlArWkr_AAeUI5eA7cR2ckFCFS-pUi_t2XKcSeNV1g5jh6WIH4-z26LSQ33xaOZ7jOZ7RY588EDIG0bfM1o1H2LNRNuUlNNSVa1k5e4FOeW0FiWvOD96VJ-Q8xg3ND_B25q1L8lJVdFaNoyfkj_XYWewL0yxDQgFwuRMN0FhR4PGJkD32yQXfBGGYlg7ZipmDDNgchDXbhozGhA6zCMbMMGvtT2CmdJ4V8Sl24BNsegXdP52D5_cAHE2_jU5HswU4fz-PyM3Xz5fX3wrL6--fr_4dFnaupapNAa4YryXitVKiro1llEqhewFlVyKzqquafhgjORCDDCoRuWyVZyyng2yOiMfD7rz0m2ht-BTXlbP6LYG73QwTv8_8W7Ut-GnVkJQIZss8O5eAMOPBWLSWxctTJPxEJaoeZ03kS2VNEPfPvb6Z_Jw8gxoDgCLIUaEQVuX9jfO1m7SjOo1YH0IWOeA9T5gvctU_oT6oP4sqTqQ4rwGAKg3YUGf7_0c6y9pHrtF |
CitedBy_id | crossref_primary_10_1093_cercor_bhac274 crossref_primary_10_15407_cryo33_03_193 crossref_primary_10_7554_eLife_92080 crossref_primary_10_7554_eLife_92080_4 crossref_primary_10_1016_j_nbas_2024_100134 crossref_primary_10_1016_j_neuroimage_2022_119226 crossref_primary_10_3389_fnhum_2023_1231513 crossref_primary_10_1016_j_neurobiolaging_2023_09_001 crossref_primary_10_3389_fnhum_2024_1453284 crossref_primary_10_1016_j_ejmp_2021_04_010 crossref_primary_10_1111_ejn_15631 crossref_primary_10_1016_j_clinph_2024_06_013 crossref_primary_10_1142_S0218348X21502327 crossref_primary_10_1093_cercor_bhac417 crossref_primary_10_1093_cercor_bhae337 crossref_primary_10_1093_cercor_bhab389 crossref_primary_10_1109_ACCESS_2021_3077370 crossref_primary_10_1093_cercor_bhad178 crossref_primary_10_1002_hbm_26076 crossref_primary_10_3390_brainsci11010107 crossref_primary_10_23736_S2723_9284_23_00247_9 crossref_primary_10_1038_s41398_021_01719_7 crossref_primary_10_3390_app12136681 crossref_primary_10_1016_j_bpsc_2024_09_010 crossref_primary_10_1093_pm_pnac101 crossref_primary_10_1007_s12264_024_01262_7 crossref_primary_10_1016_j_arr_2022_101651 crossref_primary_10_1038_s41597_023_02421_7 crossref_primary_10_1038_s41598_022_15208_4 |
Cites_doi | 10.1111/jon.12534 10.1093/cercor/bhs231 10.1016/j.neuroimage.2014.06.054 10.1007/s11071-009-9515-y 10.1038/s41598-017-00582-1 10.1093/cercor/9.2.151 10.1523/JNEUROSCI.16-13-04261.1996 10.1038/s41598-018-23769-6 10.1371/journal.pone.0063448 10.1002/(SICI)1096-9861(19971006)386:4<661::AID-CNE11>3.0.CO;2-N 10.1126/science.279.5347.39 10.1177/1073858413513928 10.1016/j.neuroimage.2016.04.029 10.1523/JNEUROSCI.3976-13.2014 10.1063/1.168314 10.1016/S0167-2789(03)00029-0 10.1016/S0165-0270(96)00080-5 10.1109/21.259692 10.1103/PhysRevLett.45.1175 10.1016/0165-0270(94)00115-W 10.1038/sdata.2014.49 10.1093/cercor/6.6.830 10.1016/j.nicl.2019.101990 10.1016/j.neuroimage.2010.06.050 10.1007/s11682-017-9784-x 10.1126/science.279.5352.783c 10.1098/rsta.2008.0264 10.1016/S0006-3495(03)74817-6 10.1016/j.neulet.2005.04.078 10.1016/j.compmedimag.2007.10.005 10.1523/JNEUROSCI.0054-11.2011 10.1080/10739680500383407 10.1002/hbm.24599 10.3174/ajnr.A3685 10.1002/hbm.22283 10.1093/cercor/9.6.621 10.1007/s11682-008-9057-9 10.1016/0168-0102(92)90031-7 10.1111/ejn.13835 10.1016/S0925-4927(01)00091-9 10.1016/j.jns.2008.12.023 10.1016/j.bandc.2009.10.009 10.1016/j.tins.2013.01.006 10.1002/jmri.24274 10.1016/j.nicl.2014.04.004 10.1177/1073858413513927 10.1006/meth.2001.1201 10.1016/j.neuroimage.2013.06.072 10.1093/cercor/5.1.56 10.1002/hbm.1058 10.1016/S0531-5565(02)00151-1 10.1002/hbm.20198 10.1002/1361-6374(199706)5:2<65::aid-bio3>3.0.co;2-e 10.1126/science.156.3775.636 10.1016/S1053-8119(03)00380-X 10.1016/j.neulet.2005.11.031 10.3758/BF03203093 10.1093/cercor/8.4.295 10.1002/cne.903610311 10.1016/j.neuroimage.2004.07.012 10.1016/j.neuroimage.2012.01.021 10.1016/S0165-0270(98)00021-1 10.1136/archdischild-2014-307149 10.1007/978-1-4939-3995-4 10.3389/fnins.2012.00152 10.1002/hbm.20238 10.1098/rstb.2001.0915 10.1016/S0096-3003(98)10096-6 10.1007/978-1-4899-2124-6 |
ContentType | Journal Article |
Copyright | The Author(s) 2020 |
Copyright_xml | – notice: The Author(s) 2020 |
DBID | C6C AAYXX CITATION CGR CUY CVF ECM EIF NPM 7X8 5PM |
DOI | 10.1038/s41598-020-73961-w |
DatabaseName | Springer Nature OA Free Journals CrossRef Medline MEDLINE MEDLINE (Ovid) MEDLINE MEDLINE PubMed MEDLINE - Academic PubMed Central (Full Participant titles) |
DatabaseTitle | CrossRef MEDLINE Medline Complete MEDLINE with Full Text PubMed MEDLINE (Ovid) MEDLINE - Academic |
DatabaseTitleList | MEDLINE MEDLINE - Academic CrossRef |
Database_xml | – sequence: 1 dbid: C6C name: Open Access资源_Springer Nature OA Free Journals url: http://www.springeropen.com/ sourceTypes: Publisher – sequence: 2 dbid: NPM name: PubMed url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 3 dbid: EIF name: MEDLINE url: https://proxy.k.utb.cz/login?url=https://www.webofscience.com/wos/medline/basic-search sourceTypes: Index Database |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Biology |
EISSN | 2045-2322 |
ExternalDocumentID | PMC7550568 33046812 10_1038_s41598_020_73961_w |
Genre | Journal Article |
GroupedDBID | 0R~ 3V. 4.4 53G 5VS 7X7 88A 88E 88I 8FE 8FH 8FI 8FJ AAFWJ AAJSJ AAKDD ABDBF ABUWG ACGFS ACSMW ACUHS ADBBV ADRAZ AENEX AEUYN AFKRA AJTQC ALIPV ALMA_UNASSIGNED_HOLDINGS AOIJS AZQEC BAWUL BBNVY BCNDV BENPR BHPHI BPHCQ BVXVI C6C CCPQU DIK DWQXO EBD EBLON EBS ESX FYUFA GNUQQ GROUPED_DOAJ GX1 HCIFZ HH5 HMCUK HYE KQ8 LK8 M0L M1P M2P M48 M7P M~E NAO OK1 PIMPY PQQKQ PROAC PSQYO RNT RNTTT RPM SNYQT UKHRP AASML AAYXX AFPKN CITATION PHGZM PHGZT CGR CUY CVF ECM EIF NPM 7X8 PJZUB PPXIY PQGLB PUEGO 5PM |
ID | FETCH-LOGICAL-c446t-aae2712d671476549ac100656d506265bc7b882faa6255fef787a6297201d1f63 |
IEDL.DBID | M48 |
ISSN | 2045-2322 |
IngestDate | Thu Aug 21 17:39:04 EDT 2025 Fri Sep 05 12:57:44 EDT 2025 Thu Jan 02 22:57:15 EST 2025 Thu Apr 24 22:55:37 EDT 2025 Tue Jul 01 02:46:34 EDT 2025 Fri Feb 21 02:38:43 EST 2025 |
IsDoiOpenAccess | true |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 1 |
Language | English |
License | Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c446t-aae2712d671476549ac100656d506265bc7b882faa6255fef787a6297201d1f63 |
Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
OpenAccessLink | http://journals.scholarsportal.info/openUrl.xqy?doi=10.1038/s41598-020-73961-w |
PMID | 33046812 |
PQID | 2450669060 |
PQPubID | 23479 |
ParticipantIDs | pubmedcentral_primary_oai_pubmedcentral_nih_gov_7550568 proquest_miscellaneous_2450669060 pubmed_primary_33046812 crossref_citationtrail_10_1038_s41598_020_73961_w crossref_primary_10_1038_s41598_020_73961_w springer_journals_10_1038_s41598_020_73961_w |
ProviderPackageCode | CITATION AAYXX |
PublicationCentury | 2000 |
PublicationDate | 2020-10-12 |
PublicationDateYYYYMMDD | 2020-10-12 |
PublicationDate_xml | – month: 10 year: 2020 text: 2020-10-12 day: 12 |
PublicationDecade | 2020 |
PublicationPlace | London |
PublicationPlace_xml | – name: London – name: England |
PublicationTitle | Scientific reports |
PublicationTitleAbbrev | Sci Rep |
PublicationTitleAlternate | Sci Rep |
PublicationYear | 2020 |
Publisher | Nature Publishing Group UK |
Publisher_xml | – name: Nature Publishing Group UK |
References | Tolle, McJunkin, Rohrbaugh, LaViolette (CR23) 2003; 179 Magnotta (CR59) 1999; 9 Sandu (CR61) 2014; 100 Jacobs, Driscoll, Schall (CR49) 1997; 386 Majumdar, Prasad (CR17) 1988; 2 Wu, Shyu, Chen, Guo (CR33) 2009; 58 Madan, Kensinger (CR28) 2018; 47 Nichols, Holmes (CR76) 2002; 15 Zhang, Liu, Dean, Sahgal, Yue (CR14) 2006; 150 Liu, Zhang, Yue (CR15) 2003; 85 Li (CR51) 2014; 34 Li, Huang (CR19) 2014; 39 Di Ieva (CR7) 2016 CR70 Cao (CR52) 2017; 7 Nenadic, Yotter, Sauer, Gaser (CR35) 2014; 35 Avnir, Biham, Lidar, Malcai (CR46) 1998; 279 Smith, Lange, Marks (CR1) 1996; 69 Mandelbrot (CR3) 1982 White, Su, Schmidt, Kao, Sapiro (CR55) 2010; 72 Barnsley (CR71) 1988 King (CR26) 2009; 3 Esteban (CR32) 2009; 282 Haydar, Kuan, Flavell, Rakic (CR57) 1999; 9 Krohn (CR31) 2019; 40 Bullmore (CR18) 2004; 23 Mazziotta (CR67) 2001; 356 Im (CR24) 2006; 27 Caserta (CR41) 1995; 56 Peters, Morrison, Rosene, Hyman (CR48) 1998; 8 Fernandez, Jelinek (CR22) 2001; 24 Hofman (CR16) 1991; 32 Takeda, Ishikawa, Ohtomo, Kobayashi, Matsuoka (CR66) 1992; 13 CR40 Landini, Rigaut (CR64) 1997; 5 Raznahan (CR54) 2011; 31 Sheelakumari (CR37) 2017 Hogstrom, Westlye, Walhovd, Fjell (CR53) 2013; 23 King, Brown, Hwang, Jeon, George (CR25) 2010; 53 Mandelbrot (CR45) 1967; 156 Cole (CR73) 2015; 100 Zilles, Palomero-Gallagher, Amunts (CR56) 2013; 36 Kiselev, Hahn, Auer (CR13) 2003; 20 Noirhomme (CR75) 2014; 4 Cutting, Garvin (CR21) 1987; 42 Losa (CR38) 2009; 102 Falconer (CR4) 2005 Jelinek, Fernandez (CR44) 1998; 81 Mandelbrot (CR63) 1998; 279 Thompson, Schwartz, Lin, Khan, Toga (CR62) 1996; 16 Nooner (CR42) 2012; 6 Di Ieva, Grizzi, Jelinek, Pellionisz, Losa (CR9) 2014; 20 Blanton Rebecca (CR60) 2001; 107 Sandu (CR36) 2008; 32 Pakkenberg (CR47) 2003; 38 Diciotti, Ciulli, Mascalchi, Giannelli, Toschi (CR74) 2013; 34 Milosevic, Ristanovic (CR65) 2006; 396 Cassot, Lauwers, Fouard, Prohaska, Lauwers-Cances (CR11) 2006; 13 Rubin, Fekete, Mujica-Parodi (CR20) 2013; 8 Pantoni (CR30) 2019; 24 Kochunov (CR58) 2005; 26 Marzi (CR29) 2018; 28 Zuo (CR43) 2014; 1 Reishofer (CR10) 2018; 8 Armstrong, Schleicher, Omran, Curtis, Zilles (CR50) 1995; 5 Russell, Hanson, Ott (CR69) 1980; 45 Fischl (CR68) 2012; 62 Goñi (CR39) 2013; 83 Ha (CR34) 2005; 384 Di Ieva, Esteban, Grizzi, Klonowski, Martin-Landrove (CR8) 2015; 21 Panico, Sterling (CR72) 1995; 361 Panerai (CR12) 2009; 367 Foroutan-pour, Dutilleul, Smith (CR6) 1999; 105 Free, Sisodiya, Cook, Fish, Shorvon (CR5) 1996; 6 Madan, Kensinger (CR27) 2016; 134 Sarkar, Chaudhuri (CR2) 1994; 24 P Kochunov (73961_CR58) 2005; 26 VG Kiselev (73961_CR13) 2003; 20 E Blanton Rebecca (73961_CR60) 2001; 107 B Pakkenberg (73961_CR47) 2003; 38 LJ Hogstrom (73961_CR53) 2013; 23 VA Magnotta (73961_CR59) 1999; 9 KJ Falconer (73961_CR4) 2005 HF Jelinek (73961_CR44) 1998; 81 J Panico (73961_CR72) 1995; 361 FJ Esteban (73961_CR32) 2009; 282 CR Madan (73961_CR28) 2018; 47 A Raznahan (73961_CR54) 2011; 31 T White (73961_CR55) 2010; 72 CR Tolle (73961_CR23) 2003; 179 73961_CR70 YC Li (73961_CR19) 2014; 39 TJ Cole (73961_CR73) 2015; 100 K Foroutan-pour (73961_CR6) 1999; 105 A Di Ieva (73961_CR9) 2014; 20 SL Free (73961_CR5) 1996; 6 L Zhang (73961_CR14) 2006; 150 MF Barnsley (73961_CR71) 1988 73961_CR40 F Caserta (73961_CR41) 1995; 56 E Bullmore (73961_CR18) 2004; 23 AL Sandu (73961_CR61) 2014; 100 Q Noirhomme (73961_CR75) 2014; 4 B Cao (73961_CR52) 2017; 7 F Cassot (73961_CR11) 2006; 13 PM Thompson (73961_CR62) 1996; 16 I Nenadic (73961_CR35) 2014; 35 TH Ha (73961_CR34) 2005; 384 R Sheelakumari (73961_CR37) 2017 J Goñi (73961_CR39) 2013; 83 N Sarkar (73961_CR2) 1994; 24 K Zilles (73961_CR56) 2013; 36 J Mazziotta (73961_CR67) 2001; 356 CR Madan (73961_CR27) 2016; 134 XN Zuo (73961_CR43) 2014; 1 JZ Liu (73961_CR15) 2003; 85 D Avnir (73961_CR46) 1998; 279 TE Nichols (73961_CR76) 2002; 15 RB Panerai (73961_CR12) 2009; 367 K Im (73961_CR24) 2006; 27 RD King (73961_CR25) 2010; 53 G Landini (73961_CR64) 1997; 5 D Rubin (73961_CR20) 2013; 8 L Pantoni (73961_CR30) 2019; 24 E Fernandez (73961_CR22) 2001; 24 YT Wu (73961_CR33) 2009; 58 A Di Ieva (73961_CR8) 2015; 21 G Reishofer (73961_CR10) 2018; 8 E Armstrong (73961_CR50) 1995; 5 MA Hofman (73961_CR16) 1991; 32 TGJ Smith (73961_CR1) 1996; 69 TF Haydar (73961_CR57) 1999; 9 GA Losa (73961_CR38) 2009; 102 JE Cutting (73961_CR21) 1987; 42 S Majumdar (73961_CR17) 1988; 2 C Marzi (73961_CR29) 2018; 28 B Jacobs (73961_CR49) 1997; 386 DA Russell (73961_CR69) 1980; 45 A Peters (73961_CR48) 1998; 8 B Mandelbrot (73961_CR3) 1982 T Takeda (73961_CR66) 1992; 13 S Krohn (73961_CR31) 2019; 40 RD King (73961_CR26) 2009; 3 S Diciotti (73961_CR74) 2013; 34 G Li (73961_CR51) 2014; 34 B Fischl (73961_CR68) 2012; 62 A-L Sandu (73961_CR36) 2008; 32 B Mandelbrot (73961_CR45) 1967; 156 KB Nooner (73961_CR42) 2012; 6 BB Mandelbrot (73961_CR63) 1998; 279 NT Milosevic (73961_CR65) 2006; 396 A Di Ieva (73961_CR7) 2016 |
References_xml | – volume: 150 start-page: 243 year: 2006 end-page: 253 ident: CR14 article-title: A three-dimensional fractal analysis method for quantifying white matter structure in human brain publication-title: J. Neurosci. Methods – ident: CR70 – volume: 28 start-page: 688 year: 2018 end-page: 693 ident: CR29 article-title: Structural complexity of the cerebellum and cerebral cortex is reduced in spinocerebellar ataxia type 2 publication-title: J. Neuroimaging doi: 10.1111/jon.12534 – volume: 23 start-page: 2521 year: 2013 end-page: 2530 ident: CR53 article-title: The structure of the cerebral cortex across adult life: Age-related patterns of surface area, thickness, and gyrification publication-title: Cereb. Cortex doi: 10.1093/cercor/bhs231 – volume: 100 start-page: 558 year: 2014 end-page: 563 ident: CR61 article-title: Structural brain complexity and cognitive decline in late life—a longitudinal study in the Aberdeen 1936 Birth Cohort publication-title: Neuroimage doi: 10.1016/j.neuroimage.2014.06.054 – volume: 58 start-page: 745 issue: 4 year: 2009 ident: CR33 article-title: Using three-dimensional fractal dimension to analyze the complexity of fetal cortical surface from magnetic resonance images publication-title: Nonlinear Dyn. doi: 10.1007/s11071-009-9515-y – volume: 7 start-page: 511 year: 2017 ident: CR52 article-title: Lifespan gyrification trajectories of human brain in healthy individuals and patients with major psychiatric disorders publication-title: Sci. Rep. doi: 10.1038/s41598-017-00582-1 – volume: 9 start-page: 151 year: 1999 end-page: 160 ident: CR59 article-title: Quantitative in vivo measurement of gyrification in the human brain: Changes associated with aging publication-title: Cereb. Cortex doi: 10.1093/cercor/9.2.151 – volume: 16 start-page: 4261 year: 1996 end-page: 4274 ident: CR62 article-title: Three-dimensional statistical analysis of sulcal variability in the human brain publication-title: J. Neurosci. doi: 10.1523/JNEUROSCI.16-13-04261.1996 – volume: 8 start-page: 5431 year: 2018 ident: CR10 article-title: Age is reflected in the fractal dimensionality of MRI diffusion based tractography publication-title: Sci. Rep. doi: 10.1038/s41598-018-23769-6 – volume: 8 start-page: e63448 year: 2013 ident: CR20 article-title: Optimizing complexity measures for FMRI data: Algorithm, artifact, and sensitivity publication-title: PLoS ONE doi: 10.1371/journal.pone.0063448 – volume: 386 start-page: 661 year: 1997 end-page: 680 ident: CR49 article-title: Life-span dendritic and spine changes in areas 10 and 18 of human cortex: A quantitative Golgi study publication-title: J. Comp. Neurol. doi: 10.1002/(SICI)1096-9861(19971006)386:4<661::AID-CNE11>3.0.CO;2-N – year: 2005 ident: CR4 publication-title: Fractal Geometry: Mathematical Foundations and Applications – volume: 279 start-page: 39 year: 1998 ident: CR46 article-title: Is the geometry of nature fractal? publication-title: Science doi: 10.1126/science.279.5347.39 – volume: 21 start-page: 30 year: 2015 end-page: 43 ident: CR8 article-title: Fractals in the neurosciences, Part II: Clinical applications and future perspectives publication-title: Neuroscientist doi: 10.1177/1073858413513928 – volume: 134 start-page: 617 year: 2016 end-page: 629 ident: CR27 article-title: Cortical complexity as a measure of age-related brain atrophy publication-title: Neuroimage doi: 10.1016/j.neuroimage.2016.04.029 – volume: 34 start-page: 4228 year: 2014 end-page: 4238 ident: CR51 article-title: Mapping longitudinal development of local cortical gyrification in infants from birth to 2 years of age publication-title: J. Neurosci. doi: 10.1523/JNEUROSCI.3976-13.2014 – volume: 2 start-page: 69 year: 1988 end-page: 73 ident: CR17 article-title: The fractal dimension of cerebral surfaces using magnetic resonance images publication-title: Comput. Phys. doi: 10.1063/1.168314 – volume: 179 start-page: 129 year: 2003 end-page: 152 ident: CR23 article-title: Lacunarity definition for ramified data sets based on optimal cover publication-title: Physica D doi: 10.1016/S0167-2789(03)00029-0 – volume: 69 start-page: 123 year: 1996 end-page: 136 ident: CR1 article-title: Fractal methods and results in cellular morphology—Dimensions, lacunarity and multifractals publication-title: J. Neurosci. Methods doi: 10.1016/S0165-0270(96)00080-5 – volume: 24 start-page: 115 year: 1994 end-page: 120 ident: CR2 article-title: An efficient differential box-counting approach to compute fractal dimension of image publication-title: IEEE Trans. Syst. Man Cybern. doi: 10.1109/21.259692 – volume: 45 start-page: 1175 year: 1980 end-page: 1178 ident: CR69 article-title: Dimension of strange attractors publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.45.1175 – volume: 56 start-page: 133 year: 1995 end-page: 144 ident: CR41 article-title: Determination of fractal dimension of physiologically characterized neurons in two and three dimensions publication-title: J. Neurosci. Methods doi: 10.1016/0165-0270(94)00115-W – volume: 1 start-page: 140049 year: 2014 ident: CR43 article-title: An open science resource for establishing reliability and reproducibility in functional connectomics publication-title: Sci. Data doi: 10.1038/sdata.2014.49 – volume: 6 start-page: 830 year: 1996 end-page: 836 ident: CR5 article-title: Three-dimensional fractal analysis of the white matter surface from magnetic resonance images of the human brain publication-title: Cereb. Cortex doi: 10.1093/cercor/6.6.830 – volume: 24 start-page: 101990 year: 2019 ident: CR30 article-title: Fractal dimension of cerebral white matter: A consistent feature for prediction of the cognitive performance in patients with small vessel disease and mild cognitive impairment publication-title: NeuroImage Clin. doi: 10.1016/j.nicl.2019.101990 – volume: 53 start-page: 471 year: 2010 end-page: 479 ident: CR25 article-title: Fractal dimension analysis of the cortical ribbon in mild Alzheimer's disease publication-title: Neuroimage doi: 10.1016/j.neuroimage.2010.06.050 – year: 2017 ident: CR37 article-title: Quantitative analysis of grey matter degeneration in FTD patients using fractal dimension analysis publication-title: Brain Imaging Behav. doi: 10.1007/s11682-017-9784-x – volume: 279 start-page: 783 year: 1998 end-page: 784 ident: CR63 article-title: Is nature fractal? publication-title: Science doi: 10.1126/science.279.5352.783c – volume: 367 start-page: 1319 year: 2009 end-page: 1336 ident: CR12 article-title: Complexity of the human cerebral circulation publication-title: Philos. Trans. Ser. A math. Phys. Eng. Sci. doi: 10.1098/rsta.2008.0264 – volume: 85 start-page: 4041 year: 2003 end-page: 4046 ident: CR15 article-title: Fractal dimension in human cerebellum measured by magnetic resonance imaging publication-title: Biophys. J. doi: 10.1016/S0006-3495(03)74817-6 – volume: 384 start-page: 172 year: 2005 end-page: 176 ident: CR34 article-title: Fractal dimension of cerebral cortical surface in schizophrenia and obsessive-compulsive disorder publication-title: Neurosci. Lett. doi: 10.1016/j.neulet.2005.04.078 – volume: 32 start-page: 150 year: 2008 end-page: 158 ident: CR36 article-title: Fractal dimension analysis of MR images reveals grey matter structure irregularities in schizophrenia publication-title: Comput. Med. Imaging Graph. doi: 10.1016/j.compmedimag.2007.10.005 – volume: 31 start-page: 7174 year: 2011 end-page: 7177 ident: CR54 article-title: How does your cortex grow? publication-title: J. Neurosci. doi: 10.1523/JNEUROSCI.0054-11.2011 – year: 1988 ident: CR71 publication-title: Fractals Everywhere – volume: 13 start-page: 1 year: 2006 end-page: 18 ident: CR11 article-title: A novel three-dimensional computer-assisted method for a quantitative study of microvascular networks of the human cerebral cortex publication-title: Microcirculation doi: 10.1080/10739680500383407 – volume: 40 start-page: 3299 year: 2019 end-page: 3320 ident: CR31 article-title: Evaluation of the 3D fractal dimension as a marker of structural brain complexity in multiple-acquisition MRI publication-title: Hum. Brain Mapp. doi: 10.1002/hbm.24599 – volume: 34 start-page: E107 year: 2013 ident: CR74 article-title: The, "peeking" effect in supervised feature selection on diffusion tensor imaging data publication-title: AJNR Am. J. Neuroradiol. doi: 10.3174/ajnr.A3685 – volume: 35 start-page: 1691 year: 2014 end-page: 1699 ident: CR35 article-title: Cortical surface comlexity in frontal and temporal areas varies across subgroups of schizophrenia publication-title: Hum. Brain Mapp. doi: 10.1002/hbm.22283 – volume: 9 start-page: 621 year: 1999 end-page: 626 ident: CR57 article-title: The role of cell death in regulating the size and shape of the mammalian forebrain publication-title: Cereb. Cortex doi: 10.1093/cercor/9.6.621 – volume: 3 start-page: 154 year: 2009 end-page: 166 ident: CR26 article-title: Characterization of atrophic changes in the cerebral cortex using fractal dimension analysis publication-title: Brain Imaging Behav doi: 10.1007/s11682-008-9057-9 – volume: 102 start-page: 29 year: 2009 end-page: 59 ident: CR38 article-title: The fractal geometry of life publication-title: Riv. Biol. – volume: 13 start-page: 19 year: 1992 end-page: 31 ident: CR66 article-title: Fractal dimension of dendritic tree of cerebellar Purkinje cell during onto- and phylogenetic development publication-title: Neurosci. Res. doi: 10.1016/0168-0102(92)90031-7 – volume: 47 start-page: 399 year: 2018 end-page: 416 ident: CR28 article-title: Predicting age from cortical structure across the lifespan publication-title: Eur. J. Neurosci. doi: 10.1111/ejn.13835 – volume: 107 start-page: 29 issue: 1 year: 2001 end-page: 43 ident: CR60 article-title: Mapping cortical asymmetry and complexity patterns in normal children publication-title: Psychiatry Res. Neuroimaging doi: 10.1016/S0925-4927(01)00091-9 – volume: 282 start-page: 67 year: 2009 end-page: 71 ident: CR32 article-title: Fractal dimension analysis of grey matter in multiple sclerosis publication-title: J. Neurol. Sci. doi: 10.1016/j.jns.2008.12.023 – volume: 72 start-page: 36 year: 2010 end-page: 45 ident: CR55 article-title: The development of gyrification in childhood and adolescence publication-title: Brain Cogn. doi: 10.1016/j.bandc.2009.10.009 – volume: 36 start-page: 275 year: 2013 end-page: 284 ident: CR56 article-title: Development of cortical folding during evolution and ontogeny publication-title: Trends Neurosci. doi: 10.1016/j.tins.2013.01.006 – volume: 39 start-page: 1118 year: 2014 end-page: 1125 ident: CR19 article-title: Fractal analysis of spontaneous fluctuations of the BOLD signal in the human brain networks publication-title: J. Magn. Reson. Imaging doi: 10.1002/jmri.24274 – volume: 4 start-page: 687 year: 2014 end-page: 694 ident: CR75 article-title: Biased binomial assessment of cross-validated estimation of classification accuracies illustrated in diagnosis predictions publication-title: NeuroImage. Clin. doi: 10.1016/j.nicl.2014.04.004 – volume: 20 start-page: 403 year: 2014 end-page: 417 ident: CR9 article-title: Fractals in the neurosciences, Part I: General principles and basic neurosciences publication-title: Neuroscientist doi: 10.1177/1073858413513927 – year: 1982 ident: CR3 publication-title: The Fractal Geometry of Nature – ident: CR40 – volume: 24 start-page: 309 year: 2001 end-page: 321 ident: CR22 article-title: Use of fractal theory in neuroscience: Methods, advantages, and potential problems publication-title: Methods doi: 10.1006/meth.2001.1201 – volume: 83 start-page: 646 year: 2013 end-page: 657 ident: CR39 article-title: Robust estimation of fractal measures for characterizing the structural complexity of the human brain: Optimization and reproducibility publication-title: Neuroimage doi: 10.1016/j.neuroimage.2013.06.072 – volume: 5 start-page: 56 year: 1995 end-page: 63 ident: CR50 article-title: The ontogeny of human gyrification publication-title: Cereb. Cortex doi: 10.1093/cercor/5.1.56 – volume: 15 start-page: 1 year: 2002 end-page: 25 ident: CR76 article-title: Nonparametric permutation tests for functional neuroimaging: A primer with examples publication-title: Hum. Brain Mapp. doi: 10.1002/hbm.1058 – volume: 38 start-page: 95 year: 2003 end-page: 99 ident: CR47 article-title: Aging and the human neocortex publication-title: Exp. Gerontol. doi: 10.1016/S0531-5565(02)00151-1 – volume: 26 start-page: 210 year: 2005 end-page: 220 ident: CR58 article-title: Age-related morphology trends of cortical sulci publication-title: Hum. Brain Mapp. doi: 10.1002/hbm.20198 – volume: 5 start-page: 65 year: 1997 end-page: 70 ident: CR64 article-title: A method for estimating the dimension of asymptotic fractal sets publication-title: Bioimaging doi: 10.1002/1361-6374(199706)5:2<65::aid-bio3>3.0.co;2-e – volume: 156 start-page: 636 year: 1967 end-page: 638 ident: CR45 article-title: How long is the coast of Britain? Statistical self-similarity and fractal dimension publication-title: Science doi: 10.1126/science.156.3775.636 – volume: 20 start-page: 1765 year: 2003 end-page: 1774 ident: CR13 article-title: Is the brain cortex a fractal? publication-title: Neuroimage doi: 10.1016/S1053-8119(03)00380-X – volume: 105 start-page: 195 year: 1999 end-page: 210 ident: CR6 article-title: Advances in the implementation of the box-counting method of fractal dimension estimation publication-title: Appl. Math. Comput. – volume: 396 start-page: 172 year: 2006 end-page: 176 ident: CR65 article-title: Fractality of dendritic arborization of spinal cord neurons publication-title: Neurosci. Lett. doi: 10.1016/j.neulet.2005.11.031 – volume: 42 start-page: 365 year: 1987 end-page: 370 ident: CR21 article-title: Fractal curves and complexity publication-title: Percept. Psychophys. doi: 10.3758/BF03203093 – volume: 8 start-page: 295 year: 1998 end-page: 300 ident: CR48 article-title: Feature article: Are neurons lost from the primate cerebral cortex during normal aging? publication-title: Cereb. Cortex doi: 10.1093/cercor/8.4.295 – volume: 361 start-page: 479 year: 1995 end-page: 490 ident: CR72 article-title: Retinal neurons and vessels are not fractal but space-filling publication-title: J. Comp. Neurol. doi: 10.1002/cne.903610311 – volume: 23 start-page: S234 issue: Suppl 1 year: 2004 end-page: 249 ident: CR18 article-title: Wavelets and functional magnetic resonance imaging of the human brain publication-title: Neuroimage doi: 10.1016/j.neuroimage.2004.07.012 – volume: 62 start-page: 774 year: 2012 end-page: 781 ident: CR68 article-title: FreeSurfer publication-title: Neuroimage doi: 10.1016/j.neuroimage.2012.01.021 – volume: 81 start-page: 9 year: 1998 end-page: 18 ident: CR44 article-title: Neurons and fractals: How reliable and useful are calculations of fractal dimensions? publication-title: J. Neurosci. Methods doi: 10.1016/S0165-0270(98)00021-1 – volume: 100 start-page: 608 year: 2015 end-page: 609 ident: CR73 article-title: Too many digits: The presentation of numerical data publication-title: Arch. Dis. Child. doi: 10.1136/archdischild-2014-307149 – year: 2016 ident: CR7 publication-title: The Fractal Geometry of the Brain doi: 10.1007/978-1-4939-3995-4 – volume: 6 start-page: 152 year: 2012 ident: CR42 article-title: The NKI-rockland sample: A model for accelerating the pace of discovery science in psychiatry publication-title: Front. Neurosci. doi: 10.3389/fnins.2012.00152 – volume: 27 start-page: 994 year: 2006 end-page: 1003 ident: CR24 article-title: Fractal dimension in human cortical surface: Multiple regression analysis with cortical thickness, sulcal depth, and folding area publication-title: Hum. Brain Mapp. doi: 10.1002/hbm.20238 – volume: 32 start-page: 103 year: 1991 end-page: 111 ident: CR16 article-title: The fractal geometry of convoluted brains publication-title: J. Hirnforsch. – volume: 356 start-page: 1293 year: 2001 end-page: 1322 ident: CR67 article-title: A probabilistic atlas and reference system for the human brain: International Consortium for Brain Mapping (ICBM) publication-title: Philos. Trans. R. Soc. Lond. B Biol. Sci. doi: 10.1098/rstb.2001.0915 – volume: 27 start-page: 994 year: 2006 ident: 73961_CR24 publication-title: Hum. Brain Mapp. doi: 10.1002/hbm.20238 – volume: 9 start-page: 621 year: 1999 ident: 73961_CR57 publication-title: Cereb. Cortex doi: 10.1093/cercor/9.6.621 – volume: 85 start-page: 4041 year: 2003 ident: 73961_CR15 publication-title: Biophys. J. doi: 10.1016/S0006-3495(03)74817-6 – volume: 102 start-page: 29 year: 2009 ident: 73961_CR38 publication-title: Riv. Biol. – volume: 83 start-page: 646 year: 2013 ident: 73961_CR39 publication-title: Neuroimage doi: 10.1016/j.neuroimage.2013.06.072 – volume: 367 start-page: 1319 year: 2009 ident: 73961_CR12 publication-title: Philos. Trans. Ser. A math. Phys. Eng. Sci. doi: 10.1098/rsta.2008.0264 – volume: 384 start-page: 172 year: 2005 ident: 73961_CR34 publication-title: Neurosci. Lett. doi: 10.1016/j.neulet.2005.04.078 – volume: 396 start-page: 172 year: 2006 ident: 73961_CR65 publication-title: Neurosci. Lett. doi: 10.1016/j.neulet.2005.11.031 – volume: 24 start-page: 309 year: 2001 ident: 73961_CR22 publication-title: Methods doi: 10.1006/meth.2001.1201 – volume: 100 start-page: 558 year: 2014 ident: 73961_CR61 publication-title: Neuroimage doi: 10.1016/j.neuroimage.2014.06.054 – volume: 5 start-page: 56 year: 1995 ident: 73961_CR50 publication-title: Cereb. Cortex doi: 10.1093/cercor/5.1.56 – volume-title: Fractals Everywhere year: 1988 ident: 73961_CR71 – volume: 20 start-page: 403 year: 2014 ident: 73961_CR9 publication-title: Neuroscientist doi: 10.1177/1073858413513927 – volume: 5 start-page: 65 year: 1997 ident: 73961_CR64 publication-title: Bioimaging doi: 10.1002/1361-6374(199706)5:2<65::aid-bio3>3.0.co;2-e – volume: 40 start-page: 3299 year: 2019 ident: 73961_CR31 publication-title: Hum. Brain Mapp. doi: 10.1002/hbm.24599 – volume: 1 start-page: 140049 year: 2014 ident: 73961_CR43 publication-title: Sci. Data doi: 10.1038/sdata.2014.49 – volume: 23 start-page: 2521 year: 2013 ident: 73961_CR53 publication-title: Cereb. Cortex doi: 10.1093/cercor/bhs231 – volume: 150 start-page: 243 year: 2006 ident: 73961_CR14 publication-title: J. Neurosci. Methods – volume: 23 start-page: S234 issue: Suppl 1 year: 2004 ident: 73961_CR18 publication-title: Neuroimage doi: 10.1016/j.neuroimage.2004.07.012 – volume: 7 start-page: 511 year: 2017 ident: 73961_CR52 publication-title: Sci. Rep. doi: 10.1038/s41598-017-00582-1 – volume: 13 start-page: 19 year: 1992 ident: 73961_CR66 publication-title: Neurosci. Res. doi: 10.1016/0168-0102(92)90031-7 – volume: 81 start-page: 9 year: 1998 ident: 73961_CR44 publication-title: J. Neurosci. Methods doi: 10.1016/S0165-0270(98)00021-1 – volume: 24 start-page: 101990 year: 2019 ident: 73961_CR30 publication-title: NeuroImage Clin. doi: 10.1016/j.nicl.2019.101990 – volume: 282 start-page: 67 year: 2009 ident: 73961_CR32 publication-title: J. Neurol. Sci. doi: 10.1016/j.jns.2008.12.023 – volume: 42 start-page: 365 year: 1987 ident: 73961_CR21 publication-title: Percept. Psychophys. doi: 10.3758/BF03203093 – volume: 32 start-page: 150 year: 2008 ident: 73961_CR36 publication-title: Comput. Med. Imaging Graph. doi: 10.1016/j.compmedimag.2007.10.005 – volume: 36 start-page: 275 year: 2013 ident: 73961_CR56 publication-title: Trends Neurosci. doi: 10.1016/j.tins.2013.01.006 – volume: 13 start-page: 1 year: 2006 ident: 73961_CR11 publication-title: Microcirculation doi: 10.1080/10739680500383407 – volume: 105 start-page: 195 year: 1999 ident: 73961_CR6 publication-title: Appl. Math. Comput. doi: 10.1016/S0096-3003(98)10096-6 – volume: 69 start-page: 123 year: 1996 ident: 73961_CR1 publication-title: J. Neurosci. Methods doi: 10.1016/S0165-0270(96)00080-5 – volume: 6 start-page: 830 year: 1996 ident: 73961_CR5 publication-title: Cereb. Cortex doi: 10.1093/cercor/6.6.830 – volume: 20 start-page: 1765 year: 2003 ident: 73961_CR13 publication-title: Neuroimage doi: 10.1016/S1053-8119(03)00380-X – volume: 45 start-page: 1175 year: 1980 ident: 73961_CR69 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.45.1175 – volume: 361 start-page: 479 year: 1995 ident: 73961_CR72 publication-title: J. Comp. Neurol. doi: 10.1002/cne.903610311 – volume: 2 start-page: 69 year: 1988 ident: 73961_CR17 publication-title: Comput. Phys. doi: 10.1063/1.168314 – volume: 8 start-page: 295 year: 1998 ident: 73961_CR48 publication-title: Cereb. Cortex doi: 10.1093/cercor/8.4.295 – volume-title: Fractal Geometry: Mathematical Foundations and Applications year: 2005 ident: 73961_CR4 – volume-title: The Fractal Geometry of Nature year: 1982 ident: 73961_CR3 – volume: 179 start-page: 129 year: 2003 ident: 73961_CR23 publication-title: Physica D doi: 10.1016/S0167-2789(03)00029-0 – volume: 47 start-page: 399 year: 2018 ident: 73961_CR28 publication-title: Eur. J. Neurosci. doi: 10.1111/ejn.13835 – volume: 26 start-page: 210 year: 2005 ident: 73961_CR58 publication-title: Hum. Brain Mapp. doi: 10.1002/hbm.20198 – volume: 56 start-page: 133 year: 1995 ident: 73961_CR41 publication-title: J. Neurosci. Methods doi: 10.1016/0165-0270(94)00115-W – volume: 62 start-page: 774 year: 2012 ident: 73961_CR68 publication-title: Neuroimage doi: 10.1016/j.neuroimage.2012.01.021 – volume: 72 start-page: 36 year: 2010 ident: 73961_CR55 publication-title: Brain Cogn. doi: 10.1016/j.bandc.2009.10.009 – volume: 35 start-page: 1691 year: 2014 ident: 73961_CR35 publication-title: Hum. Brain Mapp. doi: 10.1002/hbm.22283 – volume: 107 start-page: 29 issue: 1 year: 2001 ident: 73961_CR60 publication-title: Psychiatry Res. Neuroimaging doi: 10.1016/S0925-4927(01)00091-9 – volume: 6 start-page: 152 year: 2012 ident: 73961_CR42 publication-title: Front. Neurosci. doi: 10.3389/fnins.2012.00152 – volume: 3 start-page: 154 year: 2009 ident: 73961_CR26 publication-title: Brain Imaging Behav doi: 10.1007/s11682-008-9057-9 – volume-title: The Fractal Geometry of the Brain year: 2016 ident: 73961_CR7 doi: 10.1007/978-1-4939-3995-4 – volume: 39 start-page: 1118 year: 2014 ident: 73961_CR19 publication-title: J. Magn. Reson. Imaging doi: 10.1002/jmri.24274 – volume: 8 start-page: e63448 year: 2013 ident: 73961_CR20 publication-title: PLoS ONE doi: 10.1371/journal.pone.0063448 – volume: 279 start-page: 783 year: 1998 ident: 73961_CR63 publication-title: Science doi: 10.1126/science.279.5352.783c – ident: 73961_CR70 doi: 10.1007/978-1-4899-2124-6 – volume: 58 start-page: 745 issue: 4 year: 2009 ident: 73961_CR33 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-009-9515-y – volume: 156 start-page: 636 year: 1967 ident: 73961_CR45 publication-title: Science doi: 10.1126/science.156.3775.636 – volume: 21 start-page: 30 year: 2015 ident: 73961_CR8 publication-title: Neuroscientist doi: 10.1177/1073858413513928 – volume: 32 start-page: 103 year: 1991 ident: 73961_CR16 publication-title: J. Hirnforsch. – ident: 73961_CR40 – volume: 34 start-page: 4228 year: 2014 ident: 73961_CR51 publication-title: J. Neurosci. doi: 10.1523/JNEUROSCI.3976-13.2014 – volume: 15 start-page: 1 year: 2002 ident: 73961_CR76 publication-title: Hum. Brain Mapp. doi: 10.1002/hbm.1058 – volume: 134 start-page: 617 year: 2016 ident: 73961_CR27 publication-title: Neuroimage doi: 10.1016/j.neuroimage.2016.04.029 – volume: 279 start-page: 39 year: 1998 ident: 73961_CR46 publication-title: Science doi: 10.1126/science.279.5347.39 – volume: 356 start-page: 1293 year: 2001 ident: 73961_CR67 publication-title: Philos. Trans. R. Soc. Lond. B Biol. Sci. doi: 10.1098/rstb.2001.0915 – volume: 34 start-page: E107 year: 2013 ident: 73961_CR74 publication-title: AJNR Am. J. Neuroradiol. doi: 10.3174/ajnr.A3685 – volume: 16 start-page: 4261 year: 1996 ident: 73961_CR62 publication-title: J. Neurosci. doi: 10.1523/JNEUROSCI.16-13-04261.1996 – volume: 53 start-page: 471 year: 2010 ident: 73961_CR25 publication-title: Neuroimage doi: 10.1016/j.neuroimage.2010.06.050 – volume: 28 start-page: 688 year: 2018 ident: 73961_CR29 publication-title: J. Neuroimaging doi: 10.1111/jon.12534 – volume: 100 start-page: 608 year: 2015 ident: 73961_CR73 publication-title: Arch. Dis. Child. doi: 10.1136/archdischild-2014-307149 – volume: 386 start-page: 661 year: 1997 ident: 73961_CR49 publication-title: J. Comp. Neurol. doi: 10.1002/(SICI)1096-9861(19971006)386:4<661::AID-CNE11>3.0.CO;2-N – volume: 31 start-page: 7174 year: 2011 ident: 73961_CR54 publication-title: J. Neurosci. doi: 10.1523/JNEUROSCI.0054-11.2011 – volume: 24 start-page: 115 year: 1994 ident: 73961_CR2 publication-title: IEEE Trans. Syst. Man Cybern. doi: 10.1109/21.259692 – volume: 8 start-page: 5431 year: 2018 ident: 73961_CR10 publication-title: Sci. Rep. doi: 10.1038/s41598-018-23769-6 – year: 2017 ident: 73961_CR37 publication-title: Brain Imaging Behav. doi: 10.1007/s11682-017-9784-x – volume: 38 start-page: 95 year: 2003 ident: 73961_CR47 publication-title: Exp. Gerontol. doi: 10.1016/S0531-5565(02)00151-1 – volume: 4 start-page: 687 year: 2014 ident: 73961_CR75 publication-title: NeuroImage. Clin. doi: 10.1016/j.nicl.2014.04.004 – volume: 9 start-page: 151 year: 1999 ident: 73961_CR59 publication-title: Cereb. Cortex doi: 10.1093/cercor/9.2.151 |
SSID | ssj0000529419 |
Score | 2.4553065 |
Snippet | The cerebral cortex manifests an inherent structural complexity of folding. The fractal geometry describes the complexity of structures which show... |
SourceID | pubmedcentral proquest pubmed crossref springer |
SourceType | Open Access Repository Aggregation Database Index Database Enrichment Source Publisher |
StartPage | 16957 |
SubjectTerms | 631/114/1305 631/1647/245/1628 639/166/985 639/705/1042 692/53/2423 692/698/1688/64 Adolescent Adult Aged Aged, 80 and over Cerebral Cortex - anatomy & histology Cerebral Cortex - diagnostic imaging Cerebral Cortex - pathology Child Diffusion Magnetic Resonance Imaging Female Fractals Healthy Volunteers Humanities and Social Sciences Humans Longevity - physiology Male Middle Aged multidisciplinary Science Science (multidisciplinary) Young Adult |
SummonAdditionalLinks | – databaseName: HAS SpringerNature Open Access 2022 dbid: AAJSJ link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1Ja9wwFH6kEwq9hO5xN1TorTW1NLZkH4fSEObQSxPITWilA4MnjGdIA_3xeU9eYJoS6M3IT8L4afne9gngUxlDxb3wdKGJz0vBbV6bqsmtrREsB26DTwmyP-T5Zbm8qq6OQIy1MClpP1Fapm16zA772uFBQ8VgaOyoeSN5fvMIjomqvZjB8WKx_LmcPCsUuyp5M1TIFPP6H50PT6F70PJ-huRfYdJ0-pw9hZMBNrJF_6HP4Ci0z-Fxf5Hk7Qv4c5GyX5lhlDfLtmG9opIo5iY65r7akm0ii9SCY12TG35LfKrUijiQubClMPKaOcrA_U3NfZnkLev2lhw2HevLGpP4ehUD7kftS7g8-37x7Twf7lXIHRp_u9yYIBQXXipeKokGonGcoIj0VYH2TWWdsgi8ozFoHFUxRFzU-NgoBAueRzl_BbN204ZTYGXlY4xCRGtsGaRsfCwcghBhpDO1shnw8T9rN5CO090Xa52C3_Na97rRqBuddKNvMvg89bnuKTcelP44qk_jyqBwh2nDZt9pgZNDEg9zkcHrXp3TeOTFIea1DNSBoicBYt0-fNOufiX2bUU2nawz-DJOCT0s--6Bz3zzf-Jv4Ymg6ZpSZ97BbLfdh_eIfnb2wzDd7wD77QMk priority: 102 providerName: Springer Nature |
Title | Toward a more reliable characterization of fractal properties of the cerebral cortex of healthy subjects during the lifespan |
URI | https://link.springer.com/article/10.1038/s41598-020-73961-w https://www.ncbi.nlm.nih.gov/pubmed/33046812 https://www.proquest.com/docview/2450669060 https://pubmed.ncbi.nlm.nih.gov/PMC7550568 |
Volume | 10 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Li9swEB72QcteSp9b9xFU6K11Gym2bB9KCaHLEmgv3cDehGRLNGCcrZ2wG-iP74xkB9Jd9tCbkSXZ1oysb6SZbwDeJ86mvBIVJTSp4kRwE-c6LWJjcgTLlhtbeQfZH_J8kcwv08sDGNId9QPY3WnaUT6pRVt_uvm9_YoT_ksIGc8_d7gIUaAYGkLZpJA8vj6EY1yZJGn59x7uB65vUSS86GNn7m56Ag_JxCdarv2l6hb-vO1G-c9Zql-izh7Dox5bsmlQhidwYJun8CBkm9w-gz8X3kWWaUbOtay19ZLipli542wOIZls5ZijEuzrivbqWyJdpVIEi6y0LZ0116wkN90bKg6xlFvWbQzt6nQsxD766vXSWfxpNc9hcfbtYnYe98kX4hItxHWstRUZF5XMeJJJtCJ1yQmvyCodoxGUmjIziM6d1mhBpc46nPl4WWSIKCru5OQFHDWrxr4ElqSVc04IZ7RJrJRF5cYlIhWhZanzzETAh3FWZc9MTgkyauVPyCe5CmJSKCblxaSuI_iwa3MVeDnurf1uEJ_C6UNnIrqxq02nRIKfQ2TN4whOgzh3_Q16EEG2J-hdBaLm3r_TLH95iu6MDD-ZR_BxUAk1qPY9r_nqvx_0Gk4EKbF3tXkDR-t2Y98iWlqbERxPp_Of8xEczuRs5PccRn5a_AXNnBeZ |
linkProvider | Scholars Portal |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1ba9swFD50KWN7GbvPu2qwt80sUmzJfgxjJcu6viyFvglJlmggOCVO6Ar98T1HvkDWUdibkSUh--jyndsngE9Z8DmvREUXmlRpJrhNC5OXqbUFgmXPra9igOyJnJ1m87P87ABEnwsTg_YjpWXcpvvosK8NHjSUDIbKjpqUkqeX9-CQyNjFCA6n0_nv-WBZId9VxssuQ2Y8Kf7ReP8UugUtb0dI_uUmjafP0WN41MFGNm0H-gQOfP0U7rcXSV49g-tFjH5lhlHcLNv41ZJSopgb6JjbbEu2DixQCfZ1QWb4DfGpUiniQOb8htzIK-YoAvcPFbdpkles2Vky2DSsTWuM1VfL4HE_qp_D6dH3xbdZ2t2rkDpU_rapMV4oLiqpeKYkKojGcYIissrHqN_k1imLwDsYg8pRHnzARY2PpUKwUPEgJy9gVK9r_wpYllchBCGCNTbzUpZVGDsEIcJIZwplE-D9f9auIx2nuy9WOjq_J4VuZaNRNjrKRl8m8Hloc9FSbtxZ-2MvPo0rg9wdpvbrXaNFhp9DPMzjBF624hz6IysOMa8loPYEPVQg1u39N_XyPLJvK9LpZJHAl35K6G7ZN3cM8_X_Vf8AD2aLX8f6-MfJzzfwUNDUjWE0b2G03ez8O0RCW_u-m_o3URYGEw |
linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1bi9QwFD6suyi-iHfrNYJvWm0ybdI-DuqwjrII7sK-haRJcGDoDNMZ1gV_vOekFxhXFnwr6Wloe3L5zu0LwJs8-II74ehAE5fmgtu0NEWVWlsiWPbcehcTZE_k8Vk-Py_OD0AOtTAxaT9SWsZlesgO-9DiRkPFYGjsqEkleXrxfu3CDThCvE0T8mg6nf-Yj94Vil_lvOqrZLJJ-Y8O9neiK_DyapbkX6HSuAPN7sKdHjqyafey9-DAN_fhZneY5OUD-H0aM2CZYZQ7yzZ-uaCyKFaPlMxdxSVbBRaoBftakyt-Q5yq1IpYkNV-Q6HkJaspC_cXNXelkpes3Vly2rSsK22M4stF8LgmNQ_hbPb59ONx2p-tkNZoAG5TY7xQXDipeK4kGomm5gRHpCsytHEKWyuL4DsYgwZSEXzAiY2XlULA4HiQk0dw2Kwa_wRYXrgQghDBGpt7KSsXshqBiDCyNqWyCfDhP-u6Jx6n8y-WOgbAJ6XudKNRNzrqRl8k8HZ8Zt3Rblwr_XpQn8bZQSEP0_jVrtUix88hLuYsgcedOsf-yJND7GsJqD1FjwLEvL1_p1n8jAzciuw6WSbwbhgSup_67TWv-fT_xF_Bre-fZvrbl5Ovz-C2oJGLe6bInsPhdrPzLxAMbe3LfuT_AfrRBxs |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Toward+a+more+reliable+characterization+of+fractal+properties+of+the+cerebral+cortex+of+healthy+subjects+during+the+lifespan&rft.jtitle=Scientific+reports&rft.au=Marzi%2C+Chiara&rft.au=Giannelli%2C+Marco&rft.au=Tessa%2C+Carlo&rft.au=Mascalchi%2C+Mario&rft.date=2020-10-12&rft.pub=Nature+Publishing+Group+UK&rft.eissn=2045-2322&rft.volume=10&rft_id=info:doi/10.1038%2Fs41598-020-73961-w&rft_id=info%3Apmid%2F33046812&rft.externalDocID=PMC7550568 |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2045-2322&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2045-2322&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2045-2322&client=summon |