Application of entropy measures derived from the ergodic theory of dynamical systems to rat locomotor behavior
Measures of complexity derived from ergodic theory of dynamical systems were developed and applied to an exemplary data set describing locomotor movements of rats in a bounded space. A symbolic dynamical system was obtained by partitioning the event space into equally probable partition elements, us...
Uloženo v:
| Vydáno v: | Proceedings of the National Academy of Sciences - PNAS Ročník 87; číslo 2; s. 723 |
|---|---|
| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
United States
01.01.1990
|
| Témata: | |
| ISSN: | 0027-8424 |
| On-line přístup: | Zjistit podrobnosti o přístupu |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | Measures of complexity derived from ergodic theory of dynamical systems were developed and applied to an exemplary data set describing locomotor movements of rats in a bounded space. A symbolic dynamical system was obtained by partitioning the event space into equally probable partition elements, using a k-dimensional tree. The measures calculated from the symbolic sequences included the topological entropy (ht)--i.e., the rate of increase of all possible sequences with increasing sequence length--and the metric entropy (hm)--i.e., the rate of increase of all likely sequences with increasing sequence length. These measures were used to assess changes in rat locomotor behavior as recorded in the behavioral pattern monitor (BPM) that were induced by amphetamine (0.25, 0.50, 1.0, or 2.0 mg/kg) and 3,4-methylenedioxymethamphetamine (MDMA; 1.25, 2.5, 5.0, or 10.0 mg/kg). Amphetamine increased the mean activity, ht, and hm. MDMA resulted in a monotonic dose-response curve for activity but exhibited a biphasic dose response in ht and hm. In particular, some animals in the higher dose groups showed a ht in the range of the saline controls, whereas other animals exhibited a significantly reduced ht and a greater decrease in hm, suggesting that two different behavioral reactions coexist within the same higher dose range of MDMA. An important implication of our method is that, in applied ergodic measure-theoretic approaches, the partition that determines the elements of the symbolic dynamical system should not be specified a priori on abstract mathematical grounds but should be chosen relative to its significance with respect to the data set in question. Here, the animal constructs its own spatiotemporal partition in behavioral phase space. |
|---|---|
| AbstractList | Measures of complexity derived from ergodic theory of dynamical systems were developed and applied to an exemplary data set describing locomotor movements of rats in a bounded space. A symbolic dynamical system was obtained by partitioning the event space into equally probable partition elements, using a k-dimensional tree. The measures calculated from the symbolic sequences included the topological entropy (ht)--i.e., the rate of increase of all possible sequences with increasing sequence length--and the metric entropy (hm)--i.e., the rate of increase of all likely sequences with increasing sequence length. These measures were used to assess changes in rat locomotor behavior as recorded in the behavioral pattern monitor (BPM) that were induced by amphetamine (0.25, 0.50, 1.0, or 2.0 mg/kg) and 3,4-methylenedioxymethamphetamine (MDMA; 1.25, 2.5, 5.0, or 10.0 mg/kg). Amphetamine increased the mean activity, ht, and hm. MDMA resulted in a monotonic dose-response curve for activity but exhibited a biphasic dose response in ht and hm. In particular, some animals in the higher dose groups showed a ht in the range of the saline controls, whereas other animals exhibited a significantly reduced ht and a greater decrease in hm, suggesting that two different behavioral reactions coexist within the same higher dose range of MDMA. An important implication of our method is that, in applied ergodic measure-theoretic approaches, the partition that determines the elements of the symbolic dynamical system should not be specified a priori on abstract mathematical grounds but should be chosen relative to its significance with respect to the data set in question. Here, the animal constructs its own spatiotemporal partition in behavioral phase space. Measures of complexity derived from ergodic theory of dynamical systems were developed and applied to an exemplary data set describing locomotor movements of rats in a bounded space. A symbolic dynamical system was obtained by partitioning the event space into equally probable partition elements, using a k-dimensional tree. The measures calculated from the symbolic sequences included the topological entropy (ht)--i.e., the rate of increase of all possible sequences with increasing sequence length--and the metric entropy (hm)--i.e., the rate of increase of all likely sequences with increasing sequence length. These measures were used to assess changes in rat locomotor behavior as recorded in the behavioral pattern monitor (BPM) that were induced by amphetamine (0.25, 0.50, 1.0, or 2.0 mg/kg) and 3,4-methylenedioxymethamphetamine (MDMA; 1.25, 2.5, 5.0, or 10.0 mg/kg). Amphetamine increased the mean activity, ht, and hm. MDMA resulted in a monotonic dose-response curve for activity but exhibited a biphasic dose response in ht and hm. In particular, some animals in the higher dose groups showed a ht in the range of the saline controls, whereas other animals exhibited a significantly reduced ht and a greater decrease in hm, suggesting that two different behavioral reactions coexist within the same higher dose range of MDMA. An important implication of our method is that, in applied ergodic measure-theoretic approaches, the partition that determines the elements of the symbolic dynamical system should not be specified a priori on abstract mathematical grounds but should be chosen relative to its significance with respect to the data set in question. Here, the animal constructs its own spatiotemporal partition in behavioral phase space.Measures of complexity derived from ergodic theory of dynamical systems were developed and applied to an exemplary data set describing locomotor movements of rats in a bounded space. A symbolic dynamical system was obtained by partitioning the event space into equally probable partition elements, using a k-dimensional tree. The measures calculated from the symbolic sequences included the topological entropy (ht)--i.e., the rate of increase of all possible sequences with increasing sequence length--and the metric entropy (hm)--i.e., the rate of increase of all likely sequences with increasing sequence length. These measures were used to assess changes in rat locomotor behavior as recorded in the behavioral pattern monitor (BPM) that were induced by amphetamine (0.25, 0.50, 1.0, or 2.0 mg/kg) and 3,4-methylenedioxymethamphetamine (MDMA; 1.25, 2.5, 5.0, or 10.0 mg/kg). Amphetamine increased the mean activity, ht, and hm. MDMA resulted in a monotonic dose-response curve for activity but exhibited a biphasic dose response in ht and hm. In particular, some animals in the higher dose groups showed a ht in the range of the saline controls, whereas other animals exhibited a significantly reduced ht and a greater decrease in hm, suggesting that two different behavioral reactions coexist within the same higher dose range of MDMA. An important implication of our method is that, in applied ergodic measure-theoretic approaches, the partition that determines the elements of the symbolic dynamical system should not be specified a priori on abstract mathematical grounds but should be chosen relative to its significance with respect to the data set in question. Here, the animal constructs its own spatiotemporal partition in behavioral phase space. |
| Author | Paulus, M P Mandell, A J Gold, L H Geyer, M A |
| Author_xml | – sequence: 1 givenname: M P surname: Paulus fullname: Paulus, M P organization: Laboratory of Biological Dynamics and Theoretical Medicine, School of Medicine, University of California, San Diego, La Jolla 92093 – sequence: 2 givenname: M A surname: Geyer fullname: Geyer, M A – sequence: 3 givenname: L H surname: Gold fullname: Gold, L H – sequence: 4 givenname: A J surname: Mandell fullname: Mandell, A J |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/1967830$$D View this record in MEDLINE/PubMed |
| BookMark | eNotkDtPwzAYRT0UlVIYGZE8saXYzsPxWFW8pEosMEd-fKZBsR1sp1L-Pa3odO9w7hnuDVr44AGhe0o2lPDyafQybVq-YRvOygVaEcJ40VasukY3Kf0QQkTdkiVaUtHwtiQr5LfjOPRa5j54HCwGn2MYZ-xApilCwgZifwSDbQwO5wNgiN_B9PrcQ5zPGzN76U6OAac5ZXAJ54CjzHgIOriQQ8QKDvLYh3iLrqwcEtxdco2-Xp4_d2_F_uP1fbfdF7pqaS60VY1grQHJGlHVwlILDKgU3JSq4YorY4lklJZSWamVqjVYKGsqWEmlArZGj__eMYbfCVLuXJ80DIP0EKbUcdEQWrXsBD5cwEk5MN0Yeyfj3F0OYn9jdmtp |
| CitedBy_id | crossref_primary_10_1016_S0006_3223_99_00086_4 crossref_primary_10_1002_hfm_20146 crossref_primary_10_1016_S0021_9258_18_92858_9 crossref_primary_10_1089_neu_2012_2594 crossref_primary_10_1038_s41467_021_25954_0 crossref_primary_10_1242_jeb_00811 crossref_primary_10_1016_S0006_8993_99_01137_3 crossref_primary_10_3390_sym12101642 crossref_primary_10_1371_journal_pone_0024185 crossref_primary_10_1007_BF00204113 crossref_primary_10_1016_j_jneumeth_2006_05_019 crossref_primary_10_1016_S0006_3223_02_01701_8 crossref_primary_10_1016_S0165_0270_01_00392_2 crossref_primary_10_1111_eea_12139 crossref_primary_10_1016_j_neubiorev_2007_05_009 crossref_primary_10_1016_0025_5564_91_90082_T crossref_primary_10_1007_s11571_007_9027_8 crossref_primary_10_1016_S0165_0270_99_00133_8 crossref_primary_10_1016_j_jtbi_2013_05_008 crossref_primary_10_1016_j_jpsychires_2009_07_011 crossref_primary_10_1016_j_jtbi_2017_09_005 crossref_primary_10_1140_epjst_e2015_50235_9 crossref_primary_10_1016_S0166_4328_05_80262_1 crossref_primary_10_1140_epjst_e2012_01575_5 crossref_primary_10_1038_s41598_018_29844_2 crossref_primary_10_3390_e16031315 crossref_primary_10_1016_j_neubiorev_2015_08_008 crossref_primary_10_1016_j_physd_2019_02_014 crossref_primary_10_1016_j_neubiorev_2010_04_002 crossref_primary_10_1016_j_bbr_2019_112256 crossref_primary_10_1016_0378_4371_91_90349_H crossref_primary_10_1177_026988119200600210 crossref_primary_10_1111_j_1460_9568_2008_06467_x crossref_primary_10_1016_j_bbr_2012_04_045 |
| ContentType | Journal Article |
| DBID | CGR CUY CVF ECM EIF NPM 7X8 |
| DOI | 10.1073/pnas.87.2.723 |
| DatabaseName | Medline MEDLINE MEDLINE (Ovid) MEDLINE MEDLINE PubMed MEDLINE - Academic |
| DatabaseTitle | MEDLINE Medline Complete MEDLINE with Full Text PubMed MEDLINE (Ovid) MEDLINE - Academic |
| DatabaseTitleList | MEDLINE MEDLINE - Academic |
| Database_xml | – sequence: 1 dbid: NPM name: PubMed url: http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 2 dbid: 7X8 name: MEDLINE - Academic url: https://search.proquest.com/medline sourceTypes: Aggregation Database |
| DeliveryMethod | no_fulltext_linktorsrc |
| Discipline | Sciences (General) Mathematics |
| ExternalDocumentID | 1967830 |
| Genre | Research Support, U.S. Gov't, Non-P.H.S Research Support, U.S. Gov't, P.H.S Journal Article |
| GrantInformation_xml | – fundername: NIMH NIH HHS grantid: MH00188 – fundername: NIDA NIH HHS grantid: DA02925 – fundername: NIMH NIH HHS grantid: MH16109 |
| GroupedDBID | --- -DZ -~X .55 .GJ 0R~ 123 29P 2AX 2FS 2WC 3O- 4.4 53G 5RE 5VS 692 6TJ 79B 85S AACGO AAFWJ AANCE AAYJJ ABBHK ABOCM ABPLY ABPPZ ABTLG ABXSQ ABZEH ACGOD ACHIC ACIWK ACKIV ACNCT ACPRK ADULT AENEX AEUPB AEXZC AFFNX AFOSN AFQQW AFRAH ALMA_UNASSIGNED_HOLDINGS AQVQM AS~ BKOMP CGR CS3 CUY CVF D0L DCCCD DIK DOOOF DU5 E3Z EBS ECM EIF EJD F5P FRP GX1 H13 HGD HH5 HQ3 HTVGU HYE IPSME JAAYA JBMMH JENOY JHFFW JKQEH JLS JLXEF JPM JSG JSODD JST KQ8 L7B LU7 MVM N9A NEJ NHB NPM N~3 O9- OK1 P-O PNE PQQKQ R.V RHF RHI RNA RNS RPM RXW SA0 SJN TAE TN5 UKR VOH VQA VXZ W8F WH7 WHG WOQ WOW X7M XSW Y6R YBH YIF YIN YKV YSK ZCA ZCG ~02 ~KM 7X8 ADQXQ ADXHL |
| ID | FETCH-LOGICAL-c481t-cfb6928dea269459f1fe2e1a97d3b67b7bdf0a2113abfacbb5cefe3519231abe2 |
| IEDL.DBID | 7X8 |
| ISICitedReferencesCount | 67 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=10_1073_pnas_87_2_723&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0027-8424 |
| IngestDate | Thu Sep 04 19:54:10 EDT 2025 Wed Feb 19 02:33:40 EST 2025 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c481t-cfb6928dea269459f1fe2e1a97d3b67b7bdf0a2113abfacbb5cefe3519231abe2 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| OpenAccessLink | https://www.ncbi.nlm.nih.gov/pmc/articles/53338 |
| PMID | 1967830 |
| PQID | 79601482 |
| PQPubID | 23479 |
| ParticipantIDs | proquest_miscellaneous_79601482 pubmed_primary_1967830 |
| PublicationCentury | 1900 |
| PublicationDate | 1990-Jan 19900101 |
| PublicationDateYYYYMMDD | 1990-01-01 |
| PublicationDate_xml | – month: 01 year: 1990 text: 1990-Jan |
| PublicationDecade | 1990 |
| PublicationPlace | United States |
| PublicationPlace_xml | – name: United States |
| PublicationTitle | Proceedings of the National Academy of Sciences - PNAS |
| PublicationTitleAlternate | Proc Natl Acad Sci U S A |
| PublicationYear | 1990 |
| SSID | ssj0009580 |
| Score | 1.5673516 |
| Snippet | Measures of complexity derived from ergodic theory of dynamical systems were developed and applied to an exemplary data set describing locomotor movements of... |
| SourceID | proquest pubmed |
| SourceType | Aggregation Database Index Database |
| StartPage | 723 |
| SubjectTerms | 3,4-Methylenedioxyamphetamine - analogs & derivatives 3,4-Methylenedioxyamphetamine - pharmacology Animals Designer Drugs Dextroamphetamine - pharmacology Male Mathematics Models, Neurological Motor Activity - drug effects N-Methyl-3,4-methylenedioxyamphetamine Rats Rats, Inbred Strains Reference Values |
| Title | Application of entropy measures derived from the ergodic theory of dynamical systems to rat locomotor behavior |
| URI | https://www.ncbi.nlm.nih.gov/pubmed/1967830 https://www.proquest.com/docview/79601482 |
| Volume | 87 |
| WOSCitedRecordID | wos10_1073_pnas_87_2_723&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELYKZWABClSUpwcGGNLGzsOOhIQqRMUAVQeQukV-Sh1IQlMq9d9zzkOwIAaWbJYt5_Pd-c73fQhdq8g1LJLAUz4RXhglsQd-J_ZoIC2HCEEbVamWPLPplM_nyayD7tpeGPessrWJlaHWuXI58hGDUNtxVt4XH57TjHK11UZAYwt1YbbEPehic_6DcpfXDSgU7HBIw4ZhEzA9KjJRDjkb0iFzOkW_xZaVj5ns_291B2iviS3xuAZDD3VMdoh6zekt8U1DMX17hLLxd90a5xa7FG9ebPB7nTEssQZgro3GrvsEQ4yIzRIusAuFq8bHjRujay17mLBmgy7xKseAJwzu0T3xy5e45QA4Rm-Tx9eHJ69RXvBUyMnKU1bGCeXaCNfoGiWWWEMNEQnTgYyZZFJbX8DdMRDSCiVlpIw1TusPwkUhDe2j7SzPzAnCMmFSiJDZKFQhtVRaYvxYCmM1JSYmA3TV7mgKyHblCpGZ_LNM2z0doH79U9KiJuBIAUyMB_7pn0PP0C4Bd1unTM5R18KRNhdoR61Xi3J5WeEFvtPZyxfjXM6a |
| linkProvider | ProQuest |
| 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=Application+of+entropy+measures+derived+from+the+ergodic+theory+of+dynamical+systems+to+rat+locomotor+behavior&rft.jtitle=Proceedings+of+the+National+Academy+of+Sciences+-+PNAS&rft.au=Paulus%2C+M+P&rft.au=Geyer%2C+M+A&rft.au=Gold%2C+L+H&rft.au=Mandell%2C+A+J&rft.date=1990-01-01&rft.issn=0027-8424&rft.volume=87&rft.issue=2&rft.spage=723&rft_id=info:doi/10.1073%2Fpnas.87.2.723&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0027-8424&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0027-8424&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0027-8424&client=summon |