Global Identifiability of Differential Models
Many real‐world processes and phenomena are modeled using systems of ordinary differential equations with parameters. Given such a system, we say that a parameter is globally identifiable if it can be uniquely recovered from input and output data. The main contribution of this paper is to provide th...
Saved in:
| Published in | Communications on pure and applied mathematics Vol. 73; no. 9; pp. 1831 - 1879 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Melbourne
John Wiley & Sons Australia, Ltd
01.09.2020
John Wiley and Sons, Limited |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | Many real‐world processes and phenomena are modeled using systems of ordinary differential equations with parameters. Given such a system, we say that a parameter is globally identifiable if it can be uniquely recovered from input and output data. The main contribution of this paper is to provide theory, an algorithm, and software for deciding global identifiability. First, we rigorously derive an algebraic criterion for global identifiability (this is an analytic property), which yields a deterministic algorithm. Second, we improve the efficiency by randomizing the algorithm while guaranteeing the probability of correctness. With our new algorithm, we can tackle problems that could not be tackled before. A software based on the algorithm (called SIAN) is available at https://github.com/pogudingleb/SIAN. © 2020 Wiley Periodicals LLC |
|---|---|
| AbstractList | Many real‐world processes and phenomena are modeled using systems of ordinary differential equations with parameters. Given such a system, we say that a parameter is globally identifiable if it can be uniquely recovered from input and output data. The main contribution of this paper is to provide theory, an algorithm, and software for deciding global identifiability. First, we rigorously derive an algebraic criterion for global identifiability (this is an analytic property), which yields a deterministic algorithm. Second, we improve the efficiency by randomizing the algorithm while guaranteeing the probability of correctness. With our new algorithm, we can tackle problems that could not be tackled before. A software based on the algorithm (called SIAN) is available at
https://github.com/pogudingleb/SIAN
. © 2020 Wiley Periodicals LLC Many real‐world processes and phenomena are modeled using systems of ordinary differential equations with parameters. Given such a system, we say that a parameter is globally identifiable if it can be uniquely recovered from input and output data. The main contribution of this paper is to provide theory, an algorithm, and software for deciding global identifiability. First, we rigorously derive an algebraic criterion for global identifiability (this is an analytic property), which yields a deterministic algorithm. Second, we improve the efficiency by randomizing the algorithm while guaranteeing the probability of correctness. With our new algorithm, we can tackle problems that could not be tackled before. A software based on the algorithm (called SIAN) is available at https://github.com/pogudingleb/SIAN. © 2020 Wiley Periodicals LLC |
| Author | Pogudin, Gleb Hong, Hoon Ovchinnikov, Alexey Yap, Chee |
| Author_xml | – sequence: 1 givenname: Hoon surname: Hong fullname: Hong, Hoon email: hong@ncsu.edu organization: Department of Mathematics – sequence: 2 givenname: Alexey surname: Ovchinnikov fullname: Ovchinnikov, Alexey email: aovchinnikov@qc.cuny.edu organization: Ph.D. Programs in Mathematics and Computer Science – sequence: 3 givenname: Gleb surname: Pogudin fullname: Pogudin, Gleb email: pogudin.gleb@gmail.com organization: LIX, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris – sequence: 4 givenname: Chee surname: Yap fullname: Yap, Chee email: yap@cs.nyu.edu organization: Courant Institute |
| BookMark | eNp1kEFLAzEQhYNUsK0e_AcFTx62zSTZbPdYqlahogc9h2x2AilxU5Mt0n9vansSPQ0z87334I3IoAsdEnINdAqUspnZ6imDmsEZGQKtq4JyYAMypBRowaWgF2SU0iavIOZ8SIqVD432k6cWu95ZpxvnXb-fBDu5c9ZiPJzz_zm06NMlObfaJ7w6zTF5f7h_Wz4W65fV03KxLgyrKyhKAF5qqdFWdWPQtqysgDai0WXJEPkcta0MNsJmrJayrTRAC0ZKCsK2lo_JzdF3G8PnDlOvNmEXuxypmGBCsnpe8kzNjpSJIaWIVhnX696Fro_aeQVUHTpRuRP100lW3P5SbKP70HH_J3ty_3Ie9_-Davm6OCq-ASA3cYU |
| CitedBy_id | crossref_primary_10_1016_j_jsc_2024_102348 crossref_primary_10_1016_j_jmapro_2024_03_036 crossref_primary_10_3390_pr10081600 crossref_primary_10_1007_s41109_023_00578_z crossref_primary_10_1007_s11538_024_01266_4 crossref_primary_10_1093_imrn_rnaa302 crossref_primary_10_1016_j_arcontrol_2020_10_006 crossref_primary_10_1088_1361_6544_ada510 crossref_primary_10_1016_j_coisb_2021_03_005 crossref_primary_10_1007_s00285_024_02108_6 crossref_primary_10_1016_j_jtbi_2024_111747 crossref_primary_10_1016_j_jeconom_2023_105477 crossref_primary_10_1016_j_sysconle_2025_106059 crossref_primary_10_1515_auto_2022_0053 crossref_primary_10_1137_22M1469067 crossref_primary_10_1137_23M1614663 crossref_primary_10_1371_journal_pcbi_1010651 crossref_primary_10_1007_s00285_021_01711_1 crossref_primary_10_1137_21M1389845 crossref_primary_10_1007_s11538_022_01088_2 crossref_primary_10_1038_s41598_021_96293_9 crossref_primary_10_1016_j_epidem_2022_100643 crossref_primary_10_1109_ACCESS_2023_3288998 crossref_primary_10_1007_s10489_024_06012_w crossref_primary_10_1016_j_mbs_2020_108514 crossref_primary_10_1016_j_jsc_2022_01_002 crossref_primary_10_1016_j_mbs_2023_109109 crossref_primary_10_1016_j_aam_2023_102519 crossref_primary_10_1016_j_sysconle_2021_105030 crossref_primary_10_1016_j_precisioneng_2024_06_011 crossref_primary_10_1109_TAC_2022_3145571 crossref_primary_10_1145_3493492_3493497 crossref_primary_10_1098_rspa_2023_0911 crossref_primary_10_1016_j_cmpb_2024_108477 crossref_primary_10_1002_cpa_22163 crossref_primary_10_1016_j_physd_2021_133090 crossref_primary_10_1093_bioinformatics_btad065 crossref_primary_10_3390_a14090255 crossref_primary_10_1007_s00200_021_00486_8 crossref_primary_10_1016_j_jsc_2024_102385 |
| Cites_doi | 10.1016/j.cmpb.2007.07.002 10.1016/0025-5564(78)90063-9 10.1007/978-3-642-37956-7_3 10.1109/10.900248 10.1007/978-3-319-16721-3 10.1017/9781316716991.003 10.1016/j.jtbi.2004.01.001 10.1016/0378-4754(82)90645-0 10.1137/090757009 10.1090/ulect/007 10.1007/b62130 10.3182/20090706-3-FR-2004.00007 10.1109/TAC.1977.1101601 10.1016/j.bpj.2017.11.3787 10.1016/j.jtbi.2017.01.032 10.1137/1.9781611972702 10.1007/3-540-45084-X_1 10.1186/1752-0509-4-11 10.1016/0005-1098(94)90029-9 10.1093/bioinformatics/btx735 10.1371/journal.pcbi.1005153 10.1016/j.mbs.2012.04.005 10.1371/journal.pone.0027755 10.1080/00207728308926526 10.1016/0304-3975(83)90002-6 10.1093/bioinformatics/bty1069 10.1371/journal.pone.0110261 10.1016/j.compbiomed.2010.02.004 10.1093/bioinformatics/btu006 10.3182/20120711-3-BE-2027.00381 10.1016/S0747-7171(03)00095-6 10.1016/S0025-5564(01)00079-7 10.1016/j.jsc.2007.01.007 10.1093/bioinformatics/btr431 10.1109/TAC.1980.1102439 10.1016/0378-4754(95)00123-9 10.1145/1005285.1005302 10.1006/jsco.2002.0532 10.1016/S0005-1098(02)00302-3 10.1109/TAC.1981.1102678 10.1016/S1474-6670(17)61056-5 10.1016/B978-0-08-034929-9.50008-X 10.1007/978-3-7091-6202-6 |
| ContentType | Journal Article |
| Copyright | 2020 Wiley Periodicals LLC |
| Copyright_xml | – notice: 2020 Wiley Periodicals LLC |
| DBID | AAYXX CITATION JQ2 |
| DOI | 10.1002/cpa.21921 |
| DatabaseName | CrossRef ProQuest Computer Science Collection |
| DatabaseTitle | CrossRef ProQuest Computer Science Collection |
| DatabaseTitleList | CrossRef ProQuest Computer Science Collection |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1097-0312 |
| EndPage | 1879 |
| ExternalDocumentID | 10_1002_cpa_21921 CPA21921 |
| Genre | article |
| GroupedDBID | --Z .3N .GA .Y3 05W 0R~ 10A 1L6 1OB 1OC 1ZS 31~ 33P 3SF 3WU 4.4 4ZD 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 5GY 5VS 66C 6J9 6OB 6TJ 702 7PT 8-0 8-1 8-3 8-4 8-5 8UM 930 A03 AAESR AAEVG AAHHS AAHQN AAMNL AANHP AANLZ AAONW AASGY AAXRX AAYCA AAZKR ABCQN ABCUV ABDBF ABEFU ABEML ABIJN ABLJU ABTAH ACAHQ ACBEA ACBWZ ACCFJ ACCZN ACGFO ACGFS ACIWK ACPOU ACRPL ACSCC ACXBN ACXQS ACYXJ ADBBV ADEOM ADIZJ ADKYN ADMGS ADNMO ADOZA ADXAS ADZMN ADZOD AEEZP AEIGN AEIMD AENEX AEQDE AEUQT AEUYR AFBPY AFFPM AFGKR AFPWT AFWVQ AFZJQ AHBTC AI. AIAGR AITYG AIURR AIWBW AJBDE AJXKR ALAGY ALMA_UNASSIGNED_HOLDINGS ALUQN ALVPJ AMBMR AMYDB ASPBG ATUGU AUFTA AVWKF AZBYB AZFZN AZVAB BAFTC BDRZF BFHJK BHBCM BMNLL BNHUX BROTX BRXPI BY8 CS3 D-E D-F DCZOG DPXWK DR2 DRFUL DRSTM DU5 EBS EJD F00 F01 F04 FEDTE FSPIC G-S G.N GNP GODZA H.T H.X HBH HF~ HGLYW HHY HVGLF HZ~ H~9 IX1 J0M JPC KQQ LATKE LAW LC2 LC3 LEEKS LH4 LITHE LOXES LP6 LP7 LUTES LW6 LYRES M6L MEWTI MK4 MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM N04 N05 N9A NF~ NNB O66 O9- OHT P2P P2W P2X P4D PALCI PQQKQ Q.N Q11 QB0 QRW R.K RIWAO RJQFR ROL RWI RX1 RYL S10 SAMSI SUPJJ TN5 TWZ UB1 UHB V2E VH1 W8V W99 WBKPD WH7 WIB WIH WIK WOHZO WQJ WRC WWM WXSBR WYISQ XBAML XG1 XPP XV2 YZZ ZY4 ZZTAW ~IA ~WT AAYXX ADXHL AETEA AEYWJ AGHNM AGQPQ AGYGG AMVHM CITATION AAMMB AEFGJ AGXDD AIDQK AIDYY JQ2 |
| ID | FETCH-LOGICAL-c2971-51135a6aef79bcefd25710b4ba552ee38eaf7ceb4f35a966d7a11d1c66014fdf3 |
| IEDL.DBID | DR2 |
| ISSN | 0010-3640 |
| IngestDate | Fri Jul 25 19:18:28 EDT 2025 Tue Jul 01 02:50:31 EDT 2025 Thu Apr 24 22:58:58 EDT 2025 Wed Jan 22 16:33:19 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 9 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c2971-51135a6aef79bcefd25710b4ba552ee38eaf7ceb4f35a966d7a11d1c66014fdf3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 2424629853 |
| PQPubID | 48818 |
| PageCount | 49 |
| ParticipantIDs | proquest_journals_2424629853 crossref_citationtrail_10_1002_cpa_21921 crossref_primary_10_1002_cpa_21921 wiley_primary_10_1002_cpa_21921_CPA21921 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | September 2020 2020-09-00 20200901 |
| PublicationDateYYYYMMDD | 2020-09-01 |
| PublicationDate_xml | – month: 09 year: 2020 text: September 2020 |
| PublicationDecade | 2020 |
| PublicationPlace | Melbourne |
| PublicationPlace_xml | – name: Melbourne – name: New York |
| PublicationTitle | Communications on pure and applied mathematics |
| PublicationYear | 2020 |
| Publisher | John Wiley & Sons Australia, Ltd John Wiley and Sons, Limited |
| Publisher_xml | – name: John Wiley & Sons Australia, Ltd – name: John Wiley and Sons, Limited |
| References | 1987; 1 1980; 25 2009; 42 1977; AC‐22 2019; 35 2002; 33 2011; 53 1997 2003; 36 2007 1981; 26 2001; 48 1994 2003; 39 2005 2004 1993 2003 2011; 6 2004; 228 2008; 2008 1957 2010; 40 1983; 14 1956 2016; 12 1999 1982; 24 2001; 174 2001 1984; 17 1978; 41 2018; 114 1987 2018 2017 2015 2013 2007; 42 2018; 34 2014; 30 2011; 27 2007; 88 2012; 45 2012; 239 1983; 24 1994; 30 1996; 42 Demignot S. (e_1_2_1_13_1) 1987; 1 e_1_2_1_20_1 e_1_2_1_41_1 e_1_2_1_24_1 e_1_2_1_45_1 e_1_2_1_22_1 e_1_2_1_43_1 e_1_2_1_28_1 e_1_2_1_49_1 e_1_2_1_26_1 e_1_2_1_47_1 e_1_2_1_31_1 e_1_2_1_54_1 e_1_2_1_8_1 e_1_2_1_56_1 e_1_2_1_6_1 e_1_2_1_12_1 e_1_2_1_35_1 e_1_2_1_50_1 e_1_2_1_4_1 e_1_2_1_10_1 e_1_2_1_33_1 e_1_2_1_52_1 e_1_2_1_2_1 e_1_2_1_16_1 e_1_2_1_39_1 e_1_2_1_14_1 e_1_2_1_37_1 e_1_2_1_40_1 Zippel R. (e_1_2_1_57_1) 1993 e_1_2_1_23_1 e_1_2_1_46_1 e_1_2_1_21_1 e_1_2_1_44_1 e_1_2_1_27_1 e_1_2_1_25_1 e_1_2_1_48_1 e_1_2_1_29_1 Saccomani M. P. (e_1_2_1_42_1) 2008; 2008 Hille E. (e_1_2_1_18_1) 1997 Walter E. (e_1_2_1_55_1) 1997 e_1_2_1_7_1 Eisenbud D. (e_1_2_1_15_1) 2004 e_1_2_1_30_1 e_1_2_1_5_1 e_1_2_1_3_1 e_1_2_1_34_1 e_1_2_1_51_1 e_1_2_1_11_1 e_1_2_1_32_1 e_1_2_1_53_1 e_1_2_1_17_1 e_1_2_1_38_1 e_1_2_1_36_1 e_1_2_1_9_1 e_1_2_1_19_1 |
| References_xml | – volume: 114 start-page: 507 issue: 3 year: 2018 end-page: 515 article-title: Dynamics of post‐translational modification systems: recent progress and future directions publication-title: Biophysical Journal – volume: 42 start-page: 125 issue: 2‐3 year: 1996 end-page: 134 article-title: On the identifiability and distinguishability of nonlinear parametric models publication-title: Mathematics and Computers in Simulation – year: 1956 – year: 1993 publication-title: Springer, Boston – volume: 88 start-page: 52 issue: 1 year: 2007 end-page: 61 article-title: DAISY: A new software tool to test global identifiability of biological and physiological systems publication-title: Computer Methods and Programs in Biomedicine – year: 2005 – year: 2001 – volume: 14 start-page: 1229 issue: 11 year: 1983 end-page: 1247 article-title: Structural identifiability of dynamical systems publication-title: Internat. J. Systems Sci. – year: 2018 – volume: 53 start-page: 3 issue: 1 year: 2011 end-page: 39 article-title: On identifiability of nonlinear ODE models and applications in viral dynamics publication-title: SIAM Rev. – year: 1994 – volume: 27 start-page: 2610 issue: 18 year: 2011 end-page: 2611 article-title: GenSSI: a software toolbox for structural identifiability analysis of biological models publication-title: Bioinformatics – volume: 174 start-page: 1 issue: 1 year: 2001 end-page: 26 article-title: Differential algebra methods for the study of the structural identifiability of rational function state‐space models in the biosciences publication-title: Math. Biosci. – volume: 26 start-page: 800 issue: 3 year: 1981 end-page: 801 publication-title: IEEE Transactions on Automatic Control – year: 2004 – year: 1997 – volume: 30 start-page: 1440 issue: 10 year: 2014 end-page: 1448 article-title: Comparison of approaches for parameter identifiability analysis of biological systems publication-title: Bioinformatics – volume: 24 start-page: 472 issue: 6 year: 1982 end-page: 482 article-title: Global approaches to identifiability testing for linear and nonlinear state space models publication-title: Math. Comput. Simulation – volume: 17 start-page: 717 issue: 2 year: 1984 end-page: 722 article-title: Structural identifiability of linear, bilinear, polynomial and rational systems publication-title: IFAC Proceedings Volumes – year: 2015 – volume: 1 start-page: 333 issue: 4 year: 1987 end-page: 348 article-title: Effect of prosthetic sugar groups on the pharmacokinetics of glucose‐oxidase publication-title: Drug Design and Delivery – volume: 239 start-page: 139 issue: 1 year: 2012 end-page: 153 article-title: Minimal output sets for identifiability publication-title: Math. Biosci. – year: 2007 – year: 1987 – volume: 12 start-page: 1 issue: 10 year: 2016 end-page: 22 article-title: Structural identifiability of dynamic systems biology models publication-title: PLOS Computational Biology – year: 2003 – volume: 228 start-page: 195 year: 2004 end-page: 215 article-title: Mathematical model of nf‐ b regulatory module publication-title: Journal of Theoretical Biology – volume: 35 start-page: 2873 issue: 16 year: 2019 end-page: 2874 article-title: SIAN: software for structural identifiability analysis of ODE models publication-title: Bioinformatics – volume: 45 start-page: 941 issue: 16 year: 2012 end-page: 946 article-title: An efficient method for structural identifiability analysis of large dynamic systems publication-title: IFAC Proceedings Volumes – volume: 42 start-page: 636 issue: 6 year: 2007 end-page: 667 article-title: Solving parametric polynomial systems publication-title: J. Symbolic Comput. – volume: 48 start-page: 55 issue: 1 year: 2001 end-page: 65 article-title: Global identifiability of nonlinear models of biological systems publication-title: IEEE Transactions on Biomedical Engineering – volume: 42 start-page: 48 issue: 10 year: 2009 end-page: 53 article-title: Examples of testing global identifiability with the DAISY software publication-title: IFAC Proceedings Volumes – volume: 41 start-page: 21 issue: 1‐2 year: 1978 end-page: 33 article-title: System identifiability based on the power series expansion of the solution publication-title: Math. Biosci. – volume: 30 start-page: 265 issue: 2 year: 1994 end-page: 276 article-title: On global identifiability for arbitrary model parametrizations publication-title: Automatica J. IFAC – volume: 36 start-page: 555 issue: 3‐4 year: 2003 end-page: 594 article-title: Complexity results for triangular sets publication-title: J. Symbolic Comput. – volume: AC‐22 start-page: 728 issue: 5 year: 1977 end-page: 740 article-title: Nonlinear controllability and observability publication-title: IEEE Trans. Automatic Control – year: 1957 – volume: 2008 year: 2008 article-title: , 1723–1728 publication-title: IEEE – volume: 39 start-page: 619 issue: 4 year: 2003 end-page: 632 article-title: Parameter identifiability of nonlinear systems: the role of initial conditions publication-title: Automatica J. IFAC – volume: 34 start-page: 1421 issue: 8 year: 2018 end-page: 1423 article-title: GenSSI 2.0: multi‐experiment structural identifiability analysis of SBML models publication-title: Bioinformatics – volume: 24 start-page: 239 issue: 3 year: 1983 end-page: 277 article-title: Definability and fast quantifier elimination in algebraically closed fields publication-title: Theoret. Comput. Sci. – volume: 33 start-page: 735 issue: 5 year: 2002 end-page: 755 article-title: A probabilistic algorithm to test local algebraic observability in polynomial time publication-title: J. Symbolic Comput. – volume: 25 start-page: 830 issue: 4 year: 1980 end-page: 833 article-title: On parameter and structural identifiability: Nonunique observability/reconstructibility for identifiable systems, other ambiguities, and new definitions publication-title: IEEE Transactions on Automatic Control – volume: 40 start-page: 402 issue: 4 year: 2010 end-page: 407 article-title: Examples of testing global identifiability of biological and biomedical models with the DAISY software publication-title: Computers in Biology and Medicine – year: 2017 – volume: 6 start-page: 1 issue: 11 year: 2011 end-page: 16 article-title: Structural identifiability of systems biology models: A critical comparison of methods publication-title: PLOS ONE – year: 2004 publication-title: Springer, New York – year: 2013 – year: 1999 – ident: e_1_2_1_7_1 doi: 10.1016/j.cmpb.2007.07.002 – ident: e_1_2_1_21_1 – ident: e_1_2_1_37_1 doi: 10.1016/0025-5564(78)90063-9 – ident: e_1_2_1_47_1 doi: 10.1007/978-3-642-37956-7_3 – ident: e_1_2_1_3_1 doi: 10.1109/10.900248 – ident: e_1_2_1_11_1 doi: 10.1007/978-3-319-16721-3 – ident: e_1_2_1_31_1 doi: 10.1017/9781316716991.003 – ident: e_1_2_1_27_1 doi: 10.1016/j.jtbi.2004.01.001 – ident: e_1_2_1_53_1 doi: 10.1016/0378-4754(82)90645-0 – ident: e_1_2_1_34_1 doi: 10.1137/090757009 – ident: e_1_2_1_4_1 – ident: e_1_2_1_29_1 doi: 10.1090/ulect/007 – ident: e_1_2_1_35_1 doi: 10.1007/b62130 – ident: e_1_2_1_43_1 doi: 10.3182/20090706-3-FR-2004.00007 – year: 1993 ident: e_1_2_1_57_1 article-title: Effective polynomial computation publication-title: Springer, Boston – ident: e_1_2_1_17_1 doi: 10.1109/TAC.1977.1101601 – ident: e_1_2_1_10_1 doi: 10.1016/j.bpj.2017.11.3787 – ident: e_1_2_1_48_1 – ident: e_1_2_1_25_1 doi: 10.1016/j.jtbi.2017.01.032 – ident: e_1_2_1_6_1 doi: 10.1137/1.9781611972702 – ident: e_1_2_1_20_1 doi: 10.1007/3-540-45084-X_1 – ident: e_1_2_1_5_1 doi: 10.1186/1752-0509-4-11 – ident: e_1_2_1_28_1 doi: 10.1016/0005-1098(94)90029-9 – ident: e_1_2_1_26_1 doi: 10.1093/bioinformatics/btx735 – ident: e_1_2_1_52_1 doi: 10.1371/journal.pcbi.1005153 – year: 2004 ident: e_1_2_1_15_1 article-title: Commutative algebra with a view toward algebraic geometry publication-title: Springer, New York – ident: e_1_2_1_2_1 doi: 10.1016/j.mbs.2012.04.005 – ident: e_1_2_1_9_1 doi: 10.1371/journal.pone.0027755 – ident: e_1_2_1_49_1 doi: 10.1080/00207728308926526 – ident: e_1_2_1_16_1 doi: 10.1016/0304-3975(83)90002-6 – ident: e_1_2_1_19_1 doi: 10.1093/bioinformatics/bty1069 – volume: 1 start-page: 333 issue: 4 year: 1987 ident: e_1_2_1_13_1 article-title: Effect of prosthetic sugar groups on the pharmacokinetics of glucose‐oxidase publication-title: Drug Design and Delivery – ident: e_1_2_1_32_1 doi: 10.1371/journal.pone.0110261 – volume: 2008 year: 2008 ident: e_1_2_1_42_1 article-title: 16th Mediterranean Conference on Control and Automation, 1723–1728 publication-title: IEEE – ident: e_1_2_1_40_1 doi: 10.1016/j.compbiomed.2010.02.004 – ident: e_1_2_1_38_1 doi: 10.1093/bioinformatics/btu006 – ident: e_1_2_1_22_1 doi: 10.3182/20120711-3-BE-2027.00381 – ident: e_1_2_1_45_1 doi: 10.1016/S0747-7171(03)00095-6 – ident: e_1_2_1_30_1 doi: 10.1016/S0025-5564(01)00079-7 – ident: e_1_2_1_23_1 doi: 10.1016/j.jsc.2007.01.007 – volume-title: Ordinary differential equations in the complex domain year: 1997 ident: e_1_2_1_18_1 – ident: e_1_2_1_8_1 doi: 10.1093/bioinformatics/btr431 – ident: e_1_2_1_14_1 doi: 10.1109/TAC.1980.1102439 – volume-title: Identification of parametric models from experimental data year: 1997 ident: e_1_2_1_55_1 – ident: e_1_2_1_44_1 – ident: e_1_2_1_54_1 doi: 10.1016/0378-4754(95)00123-9 – ident: e_1_2_1_12_1 doi: 10.1145/1005285.1005302 – ident: e_1_2_1_46_1 doi: 10.1006/jsco.2002.0532 – ident: e_1_2_1_33_1 – ident: e_1_2_1_41_1 doi: 10.1016/S0005-1098(02)00302-3 – ident: e_1_2_1_24_1 doi: 10.1109/TAC.1981.1102678 – ident: e_1_2_1_39_1 – ident: e_1_2_1_50_1 doi: 10.1016/S1474-6670(17)61056-5 – ident: e_1_2_1_51_1 doi: 10.1016/B978-0-08-034929-9.50008-X – ident: e_1_2_1_56_1 doi: 10.1007/978-3-7091-6202-6 – ident: e_1_2_1_36_1 |
| SSID | ssj0011483 |
| Score | 2.5580652 |
| Snippet | Many real‐world processes and phenomena are modeled using systems of ordinary differential equations with parameters. Given such a system, we say that a... |
| SourceID | proquest crossref wiley |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1831 |
| SubjectTerms | Algorithms Differential equations Mathematical models Ordinary differential equations Parameter identification Software |
| Title | Global Identifiability of Differential Models |
| URI | https://onlinelibrary.wiley.com/doi/abs/10.1002%2Fcpa.21921 https://www.proquest.com/docview/2424629853 |
| Volume | 73 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8NAEB5KT3rwLVarBPHgJW2z2bzwVKqlCBURCz0IYXezC2Jpi0kP-uvd2U1SFQXxlsPkNdmZ_Waz830AF4QFUnCfuSKOUMJMhxRLEu4iIS5lXPEkxkbh8V04mtDbaTBtwFXVC2P5IeoFN4wMk68xwBnPu2vSULFkHYJsXjr_4l4tBEQPNXUUwnz7dxnzTEh7FatQj3TrM7_ORWuA-RmmmnlmuA1P1RPa7SUvnVXBO-L9G3njP19hB7ZK_On07YDZhYac78HmuCZvzffBtToAju3hVc-WyfvNWSjnupRT0Wlh5qCM2iw_gMnw5nEwcktVBVeQJPJcjbD8gIVMqijhQqpMB63X45SzICBS-rFkKhKSU6XNdDGURczzMk-EunSjKlP-ITTni7k8AidkkY5frCF9SXVtw4PYVyrzVcAZozRqwWXl31SUlOOofDFLLVkySbUHUuOBFpzXpkvLs_GTUbv6SGkZanmK_S0hSTTs0Lcz3v79Aungvm8Ojv9uegIbBGtss6-sDc3idSVPNRAp-JkZcR_zode3 |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V29TsMwED5BGYCBf0ShQIRAYknbOE7SDAxVCyo_RQiBxBZsx5YQVVvRVqg8E6_CO-GLkxQQSCwMbBlOtnW-O985vu8D2CfMk4K7zBa1ACnMtEuxMOQ2AuJSxhUPa9go3L70W7f07M67m4LXrBfG4EPkF27oGUm8RgfHC-nKBDVU9FmZIJxX-qTyXI6fdcE2ODpt6t09IOTk-KbRslNOAVuQMHBsnV-4HvOZVEHIhVSxNlmnyilnnkekdGuSqUBITpUW06VAHDDHiR3h68KFqli5etxpmEEGcUTqb17nYFVYWJj_2RjZfFrNcIyqpJIv9fPpN0lpPybGycl2sghvmU7Mg5bH8mjIy-LlC1zkf1HaEiykKbZVNz6xDFOyuwLz7RyfdrAKtqE6sEybsnowYOVjq6esZsoYoyNfx0KmuM5gDW7_ZL3rUOj2unIDLJ8FOkRhmexKqss37tVcpWJXeZwxSoMiHGYbGokUVR3JPTqRwYMmkdZ4lGi8CHu5aN9AiXwnVMqsIkqjySDCFh6fhDqz0tMl2_vzAFHjqp58bP5edBdmWzfti-ji9PJ8C-YIXikkz-hKUBg-jeS2zruGfCcxdwvu_9pU3gElaDe- |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1PT8IwFH9BTIwe_G9EURejiZcB67qNHTwQkKAIIUYSbrPt2sRIgAjE4Ffyq_ihbNdtqNHECwdvO7y0zet7r-91fb8fwBkiDmfUJiYre4rCTLoU8X1qKkBcTKigflk1CrfabqOLb3pOLwNvSS-MxodIL9yUZ0TxWjn4KBTFOWgoG5ECUmhe8YvKJp-9yHptfHldk5t7jlD96r7aMGNKAZMh37NMmV7YDnEJF55PGRehtFirRDEljoM4t8ucCI9xioUUk5VA6BHLCi3myroFi1DYctwlWMZuyVc8EbW7FKtK1RX6d7YKbC4uJTBGJVRMl_r18JtntJ_z4uhgq2_Ae6IS_Z7lqTCd0AJ7_YYW-U90tgnrcYJtVLRHbEGGD7ZhrZWi0453wNREB4ZuUhaPGqp8ZgyFUYv5YmTc6xuKJ64_3oXuQta7B9nBcMD3wXCJJwOUKpJtjmXxRp2yLURoC4cSgrGXg4tkPwMWY6orao9-oNGgUSA1HkQaz8FpKjrSQCI_CeUTowjiWDIOVAOPi3yZV8npot39fYCg2qlEHwd_Fz2BlU6tHtxet5uHsIrUfUL0hi4P2cnzlB_JpGtCjyNjN-Bh0ZbyASsONm0 |
| 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=Global+Identifiability+of+Differential+Models&rft.jtitle=Communications+on+pure+and+applied+mathematics&rft.au=Hong%2C+Hoon&rft.au=Ovchinnikov%2C+Alexey&rft.au=Pogudin%2C+Gleb&rft.au=Yap%2C+Chee&rft.date=2020-09-01&rft.issn=0010-3640&rft.eissn=1097-0312&rft.volume=73&rft.issue=9&rft.spage=1831&rft.epage=1879&rft_id=info:doi/10.1002%2Fcpa.21921&rft.externalDBID=n%2Fa&rft.externalDocID=10_1002_cpa_21921 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0010-3640&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0010-3640&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0010-3640&client=summon |