Understanding the regulation of chronic wounds by tissue inhibitors of matrix metalloproteinases through mathematical modelling
Understanding the biochemistry and pharmacodynamics of chronic wounds is of key importance, due to the millions of people in the UK affected and the significant cost to the NHS. Chronic wounds are characterised by elevated concentrations of matrix metalloproteinases (MMPs) that destroy the surroundi...
Saved in:
| Published in: | Journal of theoretical biology Vol. 604; p. 112083 |
|---|---|
| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
England
Elsevier Ltd
07.05.2025
|
| Subjects: | |
| ISSN: | 0022-5193, 1095-8541, 1095-8541 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | Understanding the biochemistry and pharmacodynamics of chronic wounds is of key importance, due to the millions of people in the UK affected and the significant cost to the NHS. Chronic wounds are characterised by elevated concentrations of matrix metalloproteinases (MMPs) that destroy the surrounding extracellular matrix (ECM). However, fibroblasts can produce tissue inhibitors of MMPs (TIMPs) in order to regulate wound healing. Therefore, the role of TIMPs in both acute and chronic wounds needs to be properly understood in order to develop therapeutic treatments. In this work, we propose a reaction-diffusion system of four partial differential equations that describe the interaction of the ECM, fibroblasts, MMPs, and TIMPs in a wound. We observe that, subject to parameter sets corresponding to both acute and chronic wound healing, this mathematical model gives rise to travelling wave solutions. Using bifurcation analysis, we demonstrate that excessive degradation of the ECM results in the emergence of chronic wounds, and the reversal of these chronic wounds is prohibited for lower TIMP production values. These results are replicated within a simplified model obtained via a parameter sensitivity analysis. This model is further extended to more realistic spatial domains where we demonstrate the effectiveness of a therapeutic hydrogel containing TIMPs as a treatment for chronic wounds. |
|---|---|
| AbstractList | Understanding the biochemistry and pharmacodynamics of chronic wounds is of key importance, due to the millions of people in the UK affected and the significant cost to the NHS. Chronic wounds are characterised by elevated concentrations of matrix metalloproteinases (MMPs) that destroy the surrounding extracellular matrix (ECM). However, fibroblasts can produce tissue inhibitors of MMPs (TIMPs) in order to regulate wound healing. Therefore, the role of TIMPs in both acute and chronic wounds needs to be properly understood in order to develop therapeutic treatments. In this work, we propose a reaction-diffusion system of four partial differential equations that describe the interaction of the ECM, fibroblasts, MMPs, and TIMPs in a wound. We observe that, subject to parameter sets corresponding to both acute and chronic wound healing, this mathematical model gives rise to travelling wave solutions. Using bifurcation analysis, we demonstrate that excessive degradation of the ECM results in the emergence of chronic wounds, and the reversal of these chronic wounds is prohibited for lower TIMP production values. These results are replicated within a simplified model obtained via a parameter sensitivity analysis. This model is further extended to more realistic spatial domains where we demonstrate the effectiveness of a therapeutic hydrogel containing TIMPs as a treatment for chronic wounds. Understanding the biochemistry and pharmacodynamics of chronic wounds is of key importance, due to the millions of people in the UK affected and the significant cost to the NHS. Chronic wounds are characterised by elevated concentrations of matrix metalloproteinases (MMPs) that destroy the surrounding extracellular matrix (ECM). However, fibroblasts can produce tissue inhibitors of MMPs (TIMPs) in order to regulate wound healing. Therefore, the role of TIMPs in both acute and chronic wounds needs to be properly understood in order to develop therapeutic treatments. In this work, we propose a reaction-diffusion system of four partial differential equations that describe the interaction of the ECM, fibroblasts, MMPs, and TIMPs in a wound. We observe that, subject to parameter sets corresponding to both acute and chronic wound healing, this mathematical model gives rise to travelling wave solutions. Using bifurcation analysis, we demonstrate that excessive degradation of the ECM results in the emergence of chronic wounds, and the reversal of these chronic wounds is prohibited for lower TIMP production values. These results are replicated within a simplified model obtained via a parameter sensitivity analysis. This model is further extended to more realistic spatial domains where we demonstrate the effectiveness of a therapeutic hydrogel containing TIMPs as a treatment for chronic wounds.Understanding the biochemistry and pharmacodynamics of chronic wounds is of key importance, due to the millions of people in the UK affected and the significant cost to the NHS. Chronic wounds are characterised by elevated concentrations of matrix metalloproteinases (MMPs) that destroy the surrounding extracellular matrix (ECM). However, fibroblasts can produce tissue inhibitors of MMPs (TIMPs) in order to regulate wound healing. Therefore, the role of TIMPs in both acute and chronic wounds needs to be properly understood in order to develop therapeutic treatments. In this work, we propose a reaction-diffusion system of four partial differential equations that describe the interaction of the ECM, fibroblasts, MMPs, and TIMPs in a wound. We observe that, subject to parameter sets corresponding to both acute and chronic wound healing, this mathematical model gives rise to travelling wave solutions. Using bifurcation analysis, we demonstrate that excessive degradation of the ECM results in the emergence of chronic wounds, and the reversal of these chronic wounds is prohibited for lower TIMP production values. These results are replicated within a simplified model obtained via a parameter sensitivity analysis. This model is further extended to more realistic spatial domains where we demonstrate the effectiveness of a therapeutic hydrogel containing TIMPs as a treatment for chronic wounds. |
| ArticleNumber | 112083 |
| Author | Fadai, Nabil T. Dari, Sonia O’dea, Reuben D. |
| Author_xml | – sequence: 1 givenname: Sonia orcidid: 0009-0001-3332-9975 surname: Dari fullname: Dari, Sonia email: sonia.dari@nottingham.ac.uk – sequence: 2 givenname: Reuben D. surname: O’dea fullname: O’dea, Reuben D. – sequence: 3 givenname: Nabil T. surname: Fadai fullname: Fadai, Nabil T. |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/40020775$$D View this record in MEDLINE/PubMed |
| BookMark | eNp9kT1vFDEYhC0URC6BP0CBXNLsYXvX-yHRoIgEpEg0pLb88e7te9q1g-0FUvHX8XJJQ5HGLvzMeDRzQc588EDIW872nPH2w3F_zAb3ggm551ywvn5BdpwNsuplw8_IjjEhKsmH-pxcpHRkjA1N3b4i5015YV0nd-TPnXcQU9beoT_QPAGNcFhnnTF4GkZqpxg8WvorrN4lah5oxpRWoOgnNJhDTBu26BzxN10g63kO9zFkQK8TpGIZw3qYNmKCcqDVM12Cg3kuP74mL0c9J3jzeF-Su-vP36--VLffbr5efbqtbMmaKzu4dpRtY4VjUoyCd8KYsanB9OB608ne1jBaN7SjkbLubdO0PWO1a50AK019Sd6ffEu0HyukrBZMtmTQHsKaVF0cu66VjSzou0d0NQs4dR9x0fFBPZVWgP4E2BhSijAqi_lfYTlqnBVnattHHdW2j9r2Uad9ilT8J31yf1b08SSCUtBPhKiSRfAWHEawWbmAz8n_AgYTrNU |
| CitedBy_id | crossref_primary_10_3390_bioengineering12090948 crossref_primary_10_1016_j_carbpol_2025_123702 |
| Cites_doi | 10.1073/pnas.0909115106 10.1016/j.compbiomed.2023.107342 10.1089/107632704323061834 10.3390/biom10081169 10.1098/rspb.1996.0217 10.1177/096368979200100505 10.1074/jbc.M611500200 10.1016/0025-5564(96)00044-2 10.1016/S0893-9659(04)90128-0 10.1016/0893-9659(94)90022-1 10.1007/s11538-005-9022-3 10.3109/10715762.2014.920087 10.1007/s11538-011-9712-y 10.3389/fsysb.2022.876075 10.1073/pnas.0711642105 10.1016/j.jtbi.2008.04.011 10.1089/wound.2019.1132 10.1016/j.bbamcr.2017.04.015 10.1111/j.1523-1755.2004.00900.x 10.1016/j.cpc.2009.09.018 10.1063/1.1680571 10.1098/rspb.1990.0061 10.3389/fsysb.2022.962790 10.1006/jtbi.1999.0971 10.1046/j.1524-475X.2001.00278.x 10.1007/s11538-010-9514-7 10.1016/j.jtbi.2015.07.023 10.1177/0022034509359125 10.1007/s00018-016-2268-0 10.1016/S0025-5564(99)00005-X 10.1016/S0025-5564(00)00008-0 10.1529/biophysj.105.077610 10.1371/journal.pone.0050028 10.1063/1.4826955 10.1089/wound.2012.0416 10.1111/j.1524-475X.2007.00271.x 10.1088/0022-3727/45/44/445201 10.1088/1478-3975/abf425 10.1152/ajplung.00015.2014 10.1111/exd.13909 10.1002/mame.200900052 10.1016/S0741-5214(03)01022-X 10.1098/rsif.2008.0536 10.1016/0009-2509(96)00299-0 10.3390/ijms17122085 10.1371/journal.pone.0024029 10.1016/j.clindermatol.2010.03.009 10.1007/BF02460102 10.1093/imammb/16.4.369 10.1371/journal.pone.0201855 10.1016/j.bbamcr.2010.01.003 10.1098/rsif.2020.0950 10.1038/s41598-020-75683-5 10.1089/wound.2015.0635 10.1378/chest.102.4.1085 10.1126/science.276.5309.75 10.1016/S0022-5193(05)80715-5 10.1242/jcs.023820 10.1093/imammb/17.4.379 10.1111/jcmm.14316 |
| ContentType | Journal Article |
| Copyright | 2025 The Author(s) Copyright © 2025 The Author(s). Published by Elsevier Ltd.. All rights reserved. |
| Copyright_xml | – notice: 2025 The Author(s) – notice: Copyright © 2025 The Author(s). Published by Elsevier Ltd.. All rights reserved. |
| DBID | 6I. AAFTH AAYXX CITATION CGR CUY CVF ECM EIF NPM 7X8 |
| DOI | 10.1016/j.jtbi.2025.112083 |
| DatabaseName | ScienceDirect Open Access Titles Elsevier:ScienceDirect:Open Access CrossRef Medline MEDLINE MEDLINE (Ovid) MEDLINE MEDLINE PubMed MEDLINE - Academic |
| DatabaseTitle | CrossRef 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 | fulltext_linktorsrc |
| Discipline | Biology |
| EISSN | 1095-8541 |
| ExternalDocumentID | 40020775 10_1016_j_jtbi_2025_112083 S0022519325000499 |
| Genre | Journal Article |
| GroupedDBID | --- --K --M -DZ -~X .~1 0R~ 1B1 1RT 1~. 1~5 4.4 457 4G. 5GY 5RE 5VS 6I. 7-5 71M 8P~ 9JM AABNK AACTN AAEDT AAEDW AAFTH AAIKJ AAKOC AALRI AAOAW AAQFI AATLK AATTM AAXKI AAXUO ABFRF ABGRD ABJNI ABMAC ACDAQ ACGFO ACGFS ACNCT ACRLP ADBBV ADEZE ADQTV AEBSH AEFWE AEIPS AEKER AENEX AEQOU AFFNX AFJKZ AFTJW AFXIZ AGHFR AGUBO AGYEJ AIEXJ AIKHN AITUG AKRWK ALMA_UNASSIGNED_HOLDINGS AMRAJ ANKPU AXJTR BKOJK BLXMC BNPGV CS3 DM4 DU5 EBS EFBJH EO8 EO9 EP2 EP3 F5P FDB FIRID FNPLU FYGXN G-Q GBLVA HLV IHE J1W KOM LG5 LW8 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 RNS ROL RPZ SAB SCC SDF SDG SDP SES SEW SPCBC SSA SSH SSZ T5K TN5 YQT ZMT ZU3 ~02 ~G- .GJ 29L 3O- 53G 9DU AALCJ AAQXK AAYWO AAYXX ABFNM ABUFD ABWVN ABXDB ACLOT ACRPL ACVFH ADCNI ADFGL ADMUD ADNMO AETEA AEUPX AFPUW AGQPQ AHHHB AI. AIGII AIIUN AKBMS AKYEP APXCP ASPBG AVWKF AZFZN CAG CITATION COF EFKBS EFLBG EJD FA8 FEDTE FGOYB G-2 HVGLF HZ~ H~9 MVM OHT R2- UQL VH1 WUQ XPP ZGI ZXP ZY4 ~HD ~KM AGCQF AGRNS CGR CUY CVF ECM EIF NPM 7X8 |
| ID | FETCH-LOGICAL-c400t-c9d6f564c2d052f2172bbf43eb8ed8b758c3efcd96fb5538c4468003d6d2ec5b3 |
| ISICitedReferencesCount | 4 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001441769300001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0022-5193 1095-8541 |
| IngestDate | Sun Nov 09 14:39:28 EST 2025 Mon May 12 02:38:45 EDT 2025 Sat Nov 29 08:09:16 EST 2025 Tue Nov 18 21:49:48 EST 2025 Sun Apr 06 06:53:13 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Language | English |
| License | This is an open access article under the CC BY license. Copyright © 2025 The Author(s). Published by Elsevier Ltd.. All rights reserved. |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c400t-c9d6f564c2d052f2172bbf43eb8ed8b758c3efcd96fb5538c4468003d6d2ec5b3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| ORCID | 0009-0001-3332-9975 |
| OpenAccessLink | https://dx.doi.org/10.1016/j.jtbi.2025.112083 |
| PMID | 40020775 |
| PQID | 3172776545 |
| PQPubID | 23479 |
| ParticipantIDs | proquest_miscellaneous_3172776545 pubmed_primary_40020775 crossref_citationtrail_10_1016_j_jtbi_2025_112083 crossref_primary_10_1016_j_jtbi_2025_112083 elsevier_sciencedirect_doi_10_1016_j_jtbi_2025_112083 |
| PublicationCentury | 2000 |
| PublicationDate | 2025-05-07 |
| PublicationDateYYYYMMDD | 2025-05-07 |
| PublicationDate_xml | – month: 05 year: 2025 text: 2025-05-07 day: 07 |
| PublicationDecade | 2020 |
| PublicationPlace | England |
| PublicationPlace_xml | – name: England |
| PublicationTitle | Journal of theoretical biology |
| PublicationTitleAlternate | J Theor Biol |
| PublicationYear | 2025 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Maini, McElwain, Leavesley (bib0045) 2004; 17 Kaouri, Christodoulou, Chakraborty, Mendez, Skourides, Ruiz-Baier (bib0037) 2022; 2 Amar, Smith, Fields (bib0001) 2017; 1864 Otero (bib0059) 2020 Pettet, Byrne, McElwain, Norbury (bib0061) 1996; 136 Chaplain, Byrne (bib0006) 1996; 8 Stepanova, Byrne, Maini, Alarcon (bib0073) 2023; 16 Friedman, Siewe (bib0028) 2020; 82 Dallon, Sherratt, Maini, Ferguson (bib0018) 2000; 17 Kirschner, D., 2008. Uncertainty and sensitivity functions and implementation. (accessed: 22.07.2024). Murphy, Hall, Maini, McCue, McElwain (bib0053) 2012; 74 Sheardown, Cheng (bib0069) 1996; 51 Dale, Sherrat, Maini (bib0014) 1997; 59 Guo, DiPietro (bib0033) 2010; 89 Waugh, Sherratt (bib0081) 2006; 68 Olsen, Maini, Sherratt, Dallon (bib0057) 1999; 158 Wang, Liu, Liu, Lu (bib0079) 2013; 20 Schugart, Friedman, Zhao, Sen (bib0068) 2008; 105 Batra, Robinson, Mehner, Hockla, Miller, Radisky, Radisky (bib0002) 2012; 7 Russo (bib0064) 2020 Vempati, Karagiannis, Popel (bib0077) 2007; 282 Pardo, Selman, Ramirez, Ramos, Montano, Stricklin, Raghu (bib0060) 1992; 102 Sherratt, Murray (bib0070) 1990; 241 Saltelli, Annoni, Azzini, Campolongo, Ratto, Tarantola (bib0067) 2010; 181 Yang, Zhu, Cui, Li, Jin (bib0085) 2009; 294 Chen, Qin, Liu, Zhong, Jing, Wu, Peng, Li, Peng (bib0007) 2023; 17 McDougall, Dallon, Sherratt, Maini (bib0048) 2006; 364 Frykberg, Banks (bib0029) 2015; 4 Gaffney, Maini, McCaig, Zhao, Forrester (bib0031) 1999; 16 Chua, Laurent, In Laurent, editors (bib0008) 2006 Hunt, Torres, Bachar-Wikstrom, Wikstrom (bib0036) 2024; 7 Nee, McMorrow, Campbell, Slattery, Ryan (bib0055) 2004; 66 Wong, Seet, Bascom, Isfort, Bard (bib0083) 2020; 10 Zanca, Flegg, Osborne (bib0086) 2022; 2 Fan, Saha, Hanjaya-Putra (bib0023) 2021; 9 Flegg, Menon, Byrne, McElwain (bib0025) 2020; 82 . Krejner, Litwiniuk, Grzela (bib0040) 2016; 3 Zhao, Liang, Clarke, Jackson, Xue (bib0087) 2016; 17 Department of Health and Social Care, Care, S., 2021. Advanced wound care: develop new treatments in the UK. Accessed 11/11/2021 Deng, Fan, Xiao, Tian, Zheng, Li, He (bib0020) 2024; 9 Proteintech, Mmp1 polyclonal antibody. Tavakoli, Klar (bib0075) 2021; 10 Menon, Flegg, McCue, Schugart, Dawson, McElwain (bib0050) 2012; 279 Orazov, Sakiyama, Graves (bib0058) 2012; 45 Cumming, McElwain, Upton (bib0013) 2009; 7 Pettet, Chaplain, McElwain, Byrne (bib0062) 1996; 263 Sherratt, Murray (bib0071) 1992; 1 Buranasin, Mizutani, Iwasaki, Mahasarakham, Kido, Takeda, Izumi (bib0005) 2018; 13 Martin (bib0047) 1997; 276 Wearing, Sherratt (bib0082) 2000; 165 Brew, Nagase (bib0004) 2010; 1803 Fadai, Sachak-Patwa, Byrne, Maini, Bafadhel, Nicolau (bib0022) 2021; 18 Tranquillo, Murray (bib0076) 1992; 158 Gill, Parks (bib0032) 2007; 40 Bianchi, Painter, Sherratt (bib0003) 2015; 383 Xue, Friedman, Sen (bib0084) 2009; 106 Strogatz (bib0074) 2015 Dale, Sherratt, Maini (bib0015) 1994; 7 Monfared, Ertl, Rothbauer (bib0052) 2020; 10 Flegg, Menon, Maini, McElwain (bib0026) 2015; 6 Dallon, Sherratt, Maini (bib0017) 2001; 9 Marino, Hogue, Ray, Kirschner (bib0046) 2008; 254 Collier, Legant, Marmer, Lubman, Saffarian, Wakatsuki, Elson, Goldberg (bib0010) 2011; 6 Dallon, Sherratt, Maini (bib0016) 1999; 1999 Harbin, Sohutskay, Vanderlaan, Fontaine, Mendenhall, Fisher, Voytik-Harbin, Tepole (bib0034) 2023; 165 Li, Moeen Rezakhanlou, Chavez-Munoz, Lai, Ghahary (bib0042) 2009; 332 Nyugen, Mobashery, Chang (bib0056) 2016 Liu, Xiong, Baca-Regen, Nagase, Baxter (bib0043) 2003; 38 Chuang, Degendorfer, Davies (bib0009) 2014; 48 Haugh (bib0035) 2006; 90 Siddiqui, Bernstein (bib0072) 2010; 28 Maini, McElwain, Leavesley (bib0044) 2004; 10 Murphy, Buenzli, Tambyah, Thompson, Hugo, Baker, Simpson (bib0054) 2021; 18 Wang, Guerrero-Juarez, Qui, Du, Chen, Figueroa, Plikus, Nie (bib0080) 2019; 28 Kobayashi, Kim, Liu, Sugiura, Kohyama, Fang, Wen, Abe, Wang, Atkinson, Shipley, Senior, Rennard (bib0039) 2014; 306 Mi, Rivière, Clermont, Steed, Vodovotz (bib0051) 2007; 15 Cukier, Fortuin, Shuler, Petschek, Schaibly (bib0012) 1973; 59 Menon, Flegg (bib0049) 2021; 10 Sabino, Keller (bib0065) 2015; 2 Wallace, Basehore, Zito (bib0078) 2021 Ziraldo, Mi, An, Vodovotz (bib0088) 2013; 2 Fu, Zheng, Chen, Wu, Yang, Chen, Song (bib0030) 2022; 13 Flegg, Byrne, McElwain (bib0024) 2010; 72 Dari, Fadai, O’dea (bib0019) 2023; 85 Sacco, Belviso, Romano, Carfora, Schonauer, Nurzynska, Montagnani, Meglio, Castaldo (bib0066) 2019; 23 Landen, Li, Stahle (bib0041) 2016; 73 Frantz, Stewart, Weaver (bib0027) 2010; 123 Cordiero, Bhattacharya, Schultz, Khaw (bib0011) 2000; 41 Batra (10.1016/j.jtbi.2025.112083_bib0002) 2012; 7 Dari (10.1016/j.jtbi.2025.112083_bib0019) 2023; 85 Fadai (10.1016/j.jtbi.2025.112083_bib0022) 2021; 18 10.1016/j.jtbi.2025.112083_bib0038 Marino (10.1016/j.jtbi.2025.112083_bib0046) 2008; 254 Nee (10.1016/j.jtbi.2025.112083_bib0055) 2004; 66 Flegg (10.1016/j.jtbi.2025.112083_bib0024) 2010; 72 Monfared (10.1016/j.jtbi.2025.112083_bib0052) 2020; 10 Zanca (10.1016/j.jtbi.2025.112083_bib0086) 2022; 2 Bianchi (10.1016/j.jtbi.2025.112083_bib0003) 2015; 383 Sherratt (10.1016/j.jtbi.2025.112083_bib0070) 1990; 241 Frantz (10.1016/j.jtbi.2025.112083_bib0027) 2010; 123 Russo (10.1016/j.jtbi.2025.112083_bib0064) 2020 Yang (10.1016/j.jtbi.2025.112083_bib0085) 2009; 294 Murphy (10.1016/j.jtbi.2025.112083_bib0054) 2021; 18 Brew (10.1016/j.jtbi.2025.112083_bib0004) 2010; 1803 Deng (10.1016/j.jtbi.2025.112083_bib0020) 2024; 9 Friedman (10.1016/j.jtbi.2025.112083_bib0028) 2020; 82 Wearing (10.1016/j.jtbi.2025.112083_bib0082) 2000; 165 Hunt (10.1016/j.jtbi.2025.112083_bib0036) 2024; 7 Chen (10.1016/j.jtbi.2025.112083_bib0007) 2023; 17 Kaouri (10.1016/j.jtbi.2025.112083_bib0037) 2022; 2 Flegg (10.1016/j.jtbi.2025.112083_bib0025) 2020; 82 Sacco (10.1016/j.jtbi.2025.112083_bib0066) 2019; 23 Wallace (10.1016/j.jtbi.2025.112083_bib0078) 2021 Cumming (10.1016/j.jtbi.2025.112083_bib0013) 2009; 7 Dallon (10.1016/j.jtbi.2025.112083_bib0018) 2000; 17 Otero (10.1016/j.jtbi.2025.112083_bib0059) 2020 Vempati (10.1016/j.jtbi.2025.112083_bib0077) 2007; 282 Dallon (10.1016/j.jtbi.2025.112083_bib0017) 2001; 9 Dale (10.1016/j.jtbi.2025.112083_bib0014) 1997; 59 Maini (10.1016/j.jtbi.2025.112083_bib0044) 2004; 10 Guo (10.1016/j.jtbi.2025.112083_bib0033) 2010; 89 Xue (10.1016/j.jtbi.2025.112083_bib0084) 2009; 106 Harbin (10.1016/j.jtbi.2025.112083_bib0034) 2023; 165 Liu (10.1016/j.jtbi.2025.112083_bib0043) 2003; 38 Pettet (10.1016/j.jtbi.2025.112083_bib0062) 1996; 263 Tavakoli (10.1016/j.jtbi.2025.112083_bib0075) 2021; 10 Buranasin (10.1016/j.jtbi.2025.112083_bib0005) 2018; 13 Cordiero (10.1016/j.jtbi.2025.112083_bib0011) 2000; 41 Wang (10.1016/j.jtbi.2025.112083_bib0080) 2019; 28 Chaplain (10.1016/j.jtbi.2025.112083_bib0006) 1996; 8 Sheardown (10.1016/j.jtbi.2025.112083_bib0069) 1996; 51 Gill (10.1016/j.jtbi.2025.112083_bib0032) 2007; 40 Pettet (10.1016/j.jtbi.2025.112083_bib0061) 1996; 136 Wang (10.1016/j.jtbi.2025.112083_bib0079) 2013; 20 Siddiqui (10.1016/j.jtbi.2025.112083_bib0072) 2010; 28 Ziraldo (10.1016/j.jtbi.2025.112083_bib0088) 2013; 2 Dale (10.1016/j.jtbi.2025.112083_bib0015) 1994; 7 Cukier (10.1016/j.jtbi.2025.112083_bib0012) 1973; 59 Wong (10.1016/j.jtbi.2025.112083_bib0083) 2020; 10 Zhao (10.1016/j.jtbi.2025.112083_bib0087) 2016; 17 Fan (10.1016/j.jtbi.2025.112083_bib0023) 2021; 9 Orazov (10.1016/j.jtbi.2025.112083_bib0058) 2012; 45 Schugart (10.1016/j.jtbi.2025.112083_bib0068) 2008; 105 Fu (10.1016/j.jtbi.2025.112083_bib0030) 2022; 13 Landen (10.1016/j.jtbi.2025.112083_bib0041) 2016; 73 Menon (10.1016/j.jtbi.2025.112083_bib0049) 2021; 10 Olsen (10.1016/j.jtbi.2025.112083_bib0057) 1999; 158 Frykberg (10.1016/j.jtbi.2025.112083_bib0029) 2015; 4 Haugh (10.1016/j.jtbi.2025.112083_bib0035) 2006; 90 McDougall (10.1016/j.jtbi.2025.112083_bib0048) 2006; 364 Stepanova (10.1016/j.jtbi.2025.112083_bib0073) 2023; 16 Strogatz (10.1016/j.jtbi.2025.112083_bib0074) 2015 Chua (10.1016/j.jtbi.2025.112083_bib0008) 2006 Dallon (10.1016/j.jtbi.2025.112083_bib0016) 1999; 1999 Gaffney (10.1016/j.jtbi.2025.112083_bib0031) 1999; 16 Murphy (10.1016/j.jtbi.2025.112083_bib0053) 2012; 74 Li (10.1016/j.jtbi.2025.112083_bib0042) 2009; 332 Tranquillo (10.1016/j.jtbi.2025.112083_bib0076) 1992; 158 Menon (10.1016/j.jtbi.2025.112083_bib0050) 2012; 279 Krejner (10.1016/j.jtbi.2025.112083_bib0040) 2016; 3 Collier (10.1016/j.jtbi.2025.112083_bib0010) 2011; 6 Kobayashi (10.1016/j.jtbi.2025.112083_bib0039) 2014; 306 10.1016/j.jtbi.2025.112083_bib0063 Sabino (10.1016/j.jtbi.2025.112083_bib0065) 2015; 2 10.1016/j.jtbi.2025.112083_bib0021 Amar (10.1016/j.jtbi.2025.112083_bib0001) 2017; 1864 Flegg (10.1016/j.jtbi.2025.112083_bib0026) 2015; 6 Sherratt (10.1016/j.jtbi.2025.112083_bib0071) 1992; 1 Waugh (10.1016/j.jtbi.2025.112083_bib0081) 2006; 68 Chuang (10.1016/j.jtbi.2025.112083_bib0009) 2014; 48 Martin (10.1016/j.jtbi.2025.112083_bib0047) 1997; 276 Mi (10.1016/j.jtbi.2025.112083_bib0051) 2007; 15 Maini (10.1016/j.jtbi.2025.112083_bib0045) 2004; 17 Nyugen (10.1016/j.jtbi.2025.112083_bib0056) 2016 Pardo (10.1016/j.jtbi.2025.112083_bib0060) 1992; 102 Saltelli (10.1016/j.jtbi.2025.112083_bib0067) 2010; 181 |
| References_xml | – volume: 158 start-page: 145 year: 1999 end-page: 170 ident: bib0057 article-title: Mathematical modelling of anisotropy in fibrous connective tissue publication-title: Math. Biosci. – volume: 45 year: 2012 ident: bib0058 article-title: Wound healing modeling: investigating ambient gas plasma treatment efficacy publication-title: J. Phys. D – volume: 2 start-page: 1 year: 2015 end-page: 8 ident: bib0065 article-title: Matrix metalloproteinases in impaired wound healing publication-title: Metalloproteinases Med. – year: 2020 ident: bib0064 publication-title: Bio-responsive hydrogels for an in vitro brain cancer cell model: self-controlled inhibition of matrix metalloproteinase activity – volume: 7 start-page: 11 year: 1994 end-page: 14 ident: bib0015 article-title: The speed of cornea1 epithelial wound healing publication-title: Appl. Math. Lett. – volume: 10 start-page: 475 year: 2004 end-page: 482 ident: bib0044 article-title: Travelling wave model to interpret a wound-healing cell migration assay for human peritoneal mesothelial cells publication-title: Tissue Eng. – volume: 383 start-page: 61 year: 2015 end-page: 86 ident: bib0003 article-title: A mathematical model for lymphangiogenesis in normal and diabetic wounds publication-title: J. Theor. Biol. – volume: 17 start-page: 379 year: 2000 end-page: 393 ident: bib0018 article-title: Biological implications of a discrete mathematical model for collagen deposition and alignment in dermal wound repair publication-title: IMA J. Math. Appl. Med. Biol. – volume: 74 start-page: 1143 year: 2012 end-page: 1170 ident: bib0053 article-title: A fibrocontractive mechanochemical model of dermal wound closure incorporating realistic growth factor kinetics publication-title: Bull. Math. Biol. – volume: 10 year: 2020 ident: bib0083 article-title: Red-COLA1: a human fibroblast reporter cell line for type i collagen transcription publication-title: Sci. Rep. – volume: 59 start-page: 1077 year: 1997 end-page: 1100 ident: bib0014 article-title: Role of fibroblast migration in collagen fiber formation during fetal and adult dermal wound healing publication-title: Bull. Math. Biol. – volume: 28 start-page: 519 year: 2010 end-page: 526 ident: bib0072 article-title: Chronic wound infection: facts and controversies publication-title: Clin. Dermatol. – volume: 4 start-page: 560 year: 2015 end-page: 582 ident: bib0029 article-title: Challenges in the treatment of chronic wounds publication-title: Adv. Wound Care New Rochelle – volume: 10 start-page: 328 year: 2021 ident: bib0049 article-title: Mathematical modeling can advance wound healing research publication-title: Adv. Wound Care (New Rochelle) – reference: Department of Health and Social Care, Care, S., 2021. Advanced wound care: develop new treatments in the UK. Accessed 11/11/2021 – volume: 364 start-page: 1385 year: 2006 end-page: 1405 ident: bib0048 article-title: Fibroblast migration and collagen deposition during dermal wound healing: mathematical modelling and clinical implications publication-title: Philos. Trans. A Math. Phys. Eng. Sci. – reference: Kirschner, D., 2008. Uncertainty and sensitivity functions and implementation. (accessed: 22.07.2024). – year: 2020 ident: bib0059 publication-title: Enzyme-responsive hydrogels: development, characterisation and on-demand modulation of protease activity – volume: 13 start-page: 1 year: 2022 end-page: 10 ident: bib0030 article-title: Role of matrix metalloproteinases in diabetic foot ulcers: potential therapeutic targets publication-title: Front. Pharmacol. – volume: 10 year: 2020 ident: bib0052 article-title: An on-chip wound healing assay fabricated by xurography for evaluation of dermal fibroblast cell migration and wound closure publication-title: Sci. Rep. – year: 2016 ident: bib0056 article-title: Roles of Matrix Metalloproteinases in Mutaneous Wound Healing – volume: 282 start-page: 37585 year: 2007 end-page: 37596 ident: bib0077 article-title: A biochemical model of matrix metalloproteinase 9 activation and inhibition publication-title: J. Biol. Chem. – volume: 90 start-page: 2297 year: 2006 end-page: 2308 ident: bib0035 article-title: Deterministic model of dermal wound invasion incorporating receptor-mediated signal transduction and spatial gradient sensing publication-title: Biophys. J. – volume: 66 start-page: 1376 year: 2004 end-page: 1386 ident: bib0055 article-title: Tnf-alpha and il-1beta-mediated regulation of mmp-9 and timp-1 in renal proximal tubular cells publication-title: Kidney Int. – volume: 9 year: 2024 ident: bib0020 article-title: Tgf- publication-title: Signal Trans. Target. Ther. – volume: 165 year: 2023 ident: bib0034 article-title: Computational mechanobiology model evaluating healing of postoperative cavities following breast-conserving surgery publication-title: Comput. Biol. Med. – volume: 41 start-page: 756 year: 2000 end-page: 763 ident: bib0011 article-title: Tgf-b1, -b2, and -b3 in vitro: biphasic effects on tenon’s fibroblast contraction, proliferation, and migration publication-title: Investig. Ophthalmol. Vis. Sci. – volume: 1 start-page: 365 year: 1992 end-page: 371 ident: bib0071 article-title: Epidermal wound healing: the clinical implications of a simple mathematical model publication-title: Cell Transplant. – volume: 13 year: 2018 ident: bib0005 article-title: High glucose-induced oxidative stress impairs proliferation and migration of human gingival fibroblasts publication-title: PLoS One – volume: 254 start-page: 178 year: 2008 end-page: 196 ident: bib0046 article-title: A methodology for performing global uncertainty and sensitivity analysis in systems biology publication-title: J. Theor. Biol. – volume: 73 start-page: 3861 year: 2016 end-page: 3885 ident: bib0041 article-title: Transition from inflammation to proliferation: a critical step during wound healing publication-title: Cell. Mol. Life Sci. – volume: 20 year: 2013 ident: bib0079 article-title: Mathematical model of gas plasma applied to chronic wounds publication-title: Phys. Plasmas – volume: 9 start-page: 278 year: 2001 end-page: 286 ident: bib0017 article-title: Modeling the effects of transforming growth factor-beta on extracellular matrix alignment in dermal wound repair publication-title: Wound Repair. Regen. – volume: 82 year: 2020 ident: bib0025 article-title: A current perspective on wound healing and tumour-induced angiogenesis publication-title: Bull. Math. Biol. – volume: 123 start-page: 4195 year: 2010 end-page: 4200 ident: bib0027 article-title: The extracellular matrix at a glance publication-title: J. Cell Sci. – volume: 2 start-page: 527 year: 2013 end-page: 537 ident: bib0088 article-title: Computational modeling of inflammation and wound healing publication-title: Adv. Wound Care (New Rochelle) – volume: 28 start-page: 493 year: 2019 end-page: 502 ident: bib0080 article-title: A multiscale hybrid mathematical model of epidermal-dermal interactions during skin wound healing publication-title: Exp. Dermatol. – volume: 10 start-page: 1169 year: 2021 end-page: 1189 ident: bib0075 article-title: Advanced hydrogels as wound dressings publication-title: Biomolecules – volume: 7 year: 2024 ident: bib0036 article-title: Cellular and molecular roles of reactive oxygen species in wound healing publication-title: Commun. Biol. – volume: 15 start-page: 672 year: 2007 end-page: 682 ident: bib0051 article-title: Agent-based model of inflammation and wound healing: insights into diabetic foot ulcer pathology and the role of transforming growth factor- publication-title: Wound Repair. Regen. – volume: 1864 start-page: 1940 year: 2017 end-page: 1951 ident: bib0001 article-title: Matrix metalloproteinase collagenolysis in health and disease publication-title: Biochim. Biophys. Acta Mol. Cell Res. – volume: 16 start-page: 369 year: 1999 end-page: 393 ident: bib0031 article-title: Modelling corneal epithelial wound closure in the presence of physiological electric fields via a moving boundary formalism publication-title: IMA J. Math. Appl. Med. Biol. – year: 2015 ident: bib0074 article-title: Nonlinear Dynamics and Chaos – volume: 102 start-page: 1085 year: 1992 end-page: 1089 ident: bib0060 article-title: Production of collagenase and tissue inhibitor of metalloproteinases by fibroblasts derived from normal and fibrotic human lungs publication-title: Chest – volume: 17 year: 2016 ident: bib0087 article-title: Inflammation in chronic wounds publication-title: Int. J. Mol. Sci. – volume: 9 start-page: 1 year: 2021 end-page: 24 ident: bib0023 article-title: Biomimetic hydrogels to promote wound healing publication-title: Front. Bioeng. Biotechnol. – year: 2021 ident: bib0078 article-title: Wound Healing Phases – reference: Proteintech, Mmp1 polyclonal antibody. – volume: 105 start-page: 2628 year: 2008 end-page: 2633 ident: bib0068 article-title: Wound angiogenesis as a function of tissue oxygen tension: a mathematical model publication-title: Proc. Natl. Acad. Sci. USA – volume: 85 year: 2023 ident: bib0019 article-title: Modelling the effect of matrix metalloproteinases in dermal wound healing publication-title: Bull. Math. Biol. – volume: 279 start-page: 3329 year: 2012 end-page: 3338 ident: bib0050 article-title: Modelling the interaction of keratinocytes and fibroblasts during normal and abnormal wound healing processes publication-title: Proc. Biol. Sci. – volume: 158 start-page: 135 year: 1992 end-page: 172 ident: bib0076 article-title: Continuum model of fibroblast-driven wound contraction: inflammation-mediation publication-title: J. Theor. Biol. – volume: 51 start-page: 4517 year: 1996 end-page: 4529 ident: bib0069 article-title: Mechanisms of corneal epithelial wound healing publication-title: Chem. Eng. Sci. – volume: 16 year: 2023 ident: bib0073 article-title: Computational modeling of angiogenesis: the importance of cell rearrangements during vascular growth publication-title: WIREs Mech. Dis. – volume: 165 start-page: 41 year: 2000 end-page: 62 ident: bib0082 article-title: Keratinocyte growth factor signalling: a mathematical model of derma-epidermal interaction in epidermal wound healing publication-title: Math. Biosci. – volume: 23 start-page: 4256 year: 2019 end-page: 4268 ident: bib0066 article-title: Diversity of dermal fibroblasts as major determinant of variability in cell reprogramming publication-title: J. Cell Mol. Med. – volume: 17 year: 2023 ident: bib0007 article-title: Targeting matrix metalloproteases in diabetic wound healing publication-title: Front. Immunol. – volume: 17 start-page: 575 year: 2004 end-page: 580 ident: bib0045 article-title: Travelling waves in a wound healing assay publication-title: Appl. Math. Lett. – volume: 7 year: 2012 ident: bib0002 article-title: Pegylation extends circulation half-life while preserving in vitro and in vivo activity of tissue inhibitor of metalloproteinases-1 (timp-1) publication-title: PLoS One – year: 2006 ident: bib0008 article-title: Encyclopedia of Respiratory Medicine Shapiro publication-title: Fibroblasts – volume: 18 start-page: 493 year: 2021 end-page: 502 ident: bib0054 article-title: The role of mechanical interactions in EMT publication-title: Phys. Biol. – volume: 7 start-page: 19 year: 2009 end-page: 34 ident: bib0013 article-title: A mathematical model of wound healing and subsequent scarring publication-title: J. R. Soc. Interface – volume: 106 start-page: 16782 year: 2009 end-page: 16787 ident: bib0084 article-title: A mathematical model of ischemic cutaneous wounds publication-title: PNAS – volume: 59 start-page: 3873 year: 1973 end-page: 3878 ident: bib0012 article-title: Study of sensitivity of coupled reaction systems to uncertainties in rate coefficients 1. theory publication-title: J. Chem. Phys. – volume: 38 start-page: 1376 year: 2003 end-page: 1383 ident: bib0043 article-title: Mechanism of inhibition of matrix metalloproteinase-2 expression by doxycycline in human aortic smooth muscle cells publication-title: J. Vasc. Surg. – volume: 8 start-page: 42 year: 1996 end-page: 48 ident: bib0006 article-title: Mathematical modelling of wound healing and tumour growth: two sides of the same coin publication-title: Wounds – volume: 48 start-page: 970 year: 2014 end-page: 989 ident: bib0009 article-title: Oxidation and modification of extracellular matrix and its role in disease publication-title: Free Radic. Res. – volume: 72 start-page: 1867 year: 2010 end-page: 1891 ident: bib0024 article-title: Mathematical model of hyperbaric oxygen therapy applied to chronic diabetic wounds publication-title: Bull. Math. Biol. – volume: 276 start-page: 75 year: 1997 end-page: 81 ident: bib0047 article-title: Wound healing - aiming for perfect skin regeneration publication-title: Science – volume: 40 start-page: 1334 year: 2007 end-page: 1347 ident: bib0032 article-title: Metalloproteinases and their inhibitors: regulators of wound healing publication-title: Int. J. Biochem. Cell Biol. – volume: 136 start-page: 35 year: 1996 end-page: 63 ident: bib0061 article-title: A model of wound-healing angiogenesis in soft tissue publication-title: Math. Biosci. – volume: 3 start-page: 29 year: 2016 end-page: 39 ident: bib0040 article-title: Matrix metalloproteinases in the wound microenvironment: therapeutic perspectives publication-title: Chronic Wound Care Manag. Res. – volume: 1803 start-page: 55 year: 2010 end-page: 71 ident: bib0004 article-title: The tissue inhibitors of metalloproteinases (TIMPs): an ancient family with structural and functional diversity publication-title: Biochim. Biophys. Acta – volume: 241 start-page: 29 year: 1990 end-page: 36 ident: bib0070 article-title: Models of epidermal wound healing publication-title: Proc. Biol. Sci. – volume: 6 start-page: 1 year: 2011 end-page: 14 ident: bib0010 article-title: Diffusion of MMPs on the surface of collagen fibrils: the mobile cell surface—collagen substratum interface publication-title: PLoS One – volume: 82 year: 2020 ident: bib0028 article-title: Mathematical model of chronic dermal wounds in diabetes and obesity publication-title: J. Theor. Biol. – volume: 18 year: 2021 ident: bib0022 article-title: Infection, inflammation and intervention: mechanistic modelling of epithelial cells in COVID-19 publication-title: J. R. Soc. Interface – volume: 89 start-page: 219 year: 2010 end-page: 229 ident: bib0033 article-title: Factors affecting wound healing publication-title: J. Dent. Res. – volume: 68 start-page: 197 year: 2006 end-page: 207 ident: bib0081 article-title: Macrophage dynamics in diabetic wound dealing publication-title: Bull. Math. Biol. – reference: . – volume: 306 start-page: 1006 year: 2014 end-page: 1015 ident: bib0039 article-title: Matrix metalloproteinase-9 activates TGF- publication-title: Am. J. Physiol. Lung Cell Mol. Physiol. – volume: 2 year: 2022 ident: bib0037 article-title: A new mechanochemical model for apical constriction: coupling calcium signalling and viscoelasticity publication-title: Front. Syst. Biol. – volume: 294 start-page: 611 year: 2009 end-page: 619 ident: bib0085 article-title: Electrospun composite mats of poly[(d,l-lactide)-co-glycolide] and collagen with high porosity as potential scaffolds for skin tissue engineering publication-title: Macromol. Mater. Eng. – volume: 2 year: 2022 ident: bib0086 article-title: Push or pull? cell proliferation and migration during wound healing publication-title: Front. Syst. Biol. – volume: 1999 start-page: 449 year: 1999 end-page: 471 ident: bib0016 article-title: Mathematical modelling of extracellular matrix dynamics using discrete cells: fiber orientation and tissue regeneration publication-title: J. Theor. Biol. – volume: 332 start-page: 1 year: 2009 end-page: 8 ident: bib0042 article-title: Keratinocyte-releasable factors increased the expression of MMP1 and MMP3 in co-cultured fibroblasts under both 2d and 3d culture conditions publication-title: Mol. Cell. Biochem. – volume: 263 start-page: 1487 year: 1996 end-page: 1493 ident: bib0062 article-title: On the role of angiogenesis in wound healing publication-title: Proc. R. Soc. Lond. B Biol. Sci. – volume: 6 start-page: 1 year: 2015 end-page: 17 ident: bib0026 article-title: On the mathematical modelling of wound healing angiogenesis in skin as a reaction-transport process publication-title: Front. Physiol. – volume: 181 start-page: 259 year: 2010 end-page: 270 ident: bib0067 article-title: Variance based sensitivity analysis of model output. design and estimator for the total sensitivity index publication-title: Comput. Phys. Commun. – volume: 3 start-page: 29 year: 2016 ident: 10.1016/j.jtbi.2025.112083_bib0040 article-title: Matrix metalloproteinases in the wound microenvironment: therapeutic perspectives publication-title: Chronic Wound Care Manag. Res. – volume: 8 start-page: 42 issue: 2 year: 1996 ident: 10.1016/j.jtbi.2025.112083_bib0006 article-title: Mathematical modelling of wound healing and tumour growth: two sides of the same coin publication-title: Wounds – volume: 40 start-page: 1334 issue: 6–7 year: 2007 ident: 10.1016/j.jtbi.2025.112083_bib0032 article-title: Metalloproteinases and their inhibitors: regulators of wound healing publication-title: Int. J. Biochem. Cell Biol. – volume: 106 start-page: 16782 issue: 39 year: 2009 ident: 10.1016/j.jtbi.2025.112083_bib0084 article-title: A mathematical model of ischemic cutaneous wounds publication-title: PNAS doi: 10.1073/pnas.0909115106 – volume: 165 year: 2023 ident: 10.1016/j.jtbi.2025.112083_bib0034 article-title: Computational mechanobiology model evaluating healing of postoperative cavities following breast-conserving surgery publication-title: Comput. Biol. Med. doi: 10.1016/j.compbiomed.2023.107342 – ident: 10.1016/j.jtbi.2025.112083_bib0021 – volume: 10 start-page: 475 issue: 3/4 year: 2004 ident: 10.1016/j.jtbi.2025.112083_bib0044 article-title: Travelling wave model to interpret a wound-healing cell migration assay for human peritoneal mesothelial cells publication-title: Tissue Eng. doi: 10.1089/107632704323061834 – volume: 10 start-page: 1169 issue: 8 year: 2021 ident: 10.1016/j.jtbi.2025.112083_bib0075 article-title: Advanced hydrogels as wound dressings publication-title: Biomolecules doi: 10.3390/biom10081169 – year: 2021 ident: 10.1016/j.jtbi.2025.112083_bib0078 – volume: 9 issue: 61 year: 2024 ident: 10.1016/j.jtbi.2025.112083_bib0020 article-title: Tgf-β signaling in health, disease and therapeutics publication-title: Signal Trans. Target. Ther. – volume: 2 start-page: 1 year: 2015 ident: 10.1016/j.jtbi.2025.112083_bib0065 article-title: Matrix metalloproteinases in impaired wound healing publication-title: Metalloproteinases Med. – volume: 263 start-page: 1487 year: 1996 ident: 10.1016/j.jtbi.2025.112083_bib0062 article-title: On the role of angiogenesis in wound healing publication-title: Proc. R. Soc. Lond. B Biol. Sci. doi: 10.1098/rspb.1996.0217 – volume: 1 start-page: 365 issue: 5 year: 1992 ident: 10.1016/j.jtbi.2025.112083_bib0071 article-title: Epidermal wound healing: the clinical implications of a simple mathematical model publication-title: Cell Transplant. doi: 10.1177/096368979200100505 – volume: 282 start-page: 37585 issue: 52 year: 2007 ident: 10.1016/j.jtbi.2025.112083_bib0077 article-title: A biochemical model of matrix metalloproteinase 9 activation and inhibition publication-title: J. Biol. Chem. doi: 10.1074/jbc.M611500200 – volume: 82 issue: 23 year: 2020 ident: 10.1016/j.jtbi.2025.112083_bib0025 article-title: A current perspective on wound healing and tumour-induced angiogenesis publication-title: Bull. Math. Biol. – volume: 136 start-page: 35 year: 1996 ident: 10.1016/j.jtbi.2025.112083_bib0061 article-title: A model of wound-healing angiogenesis in soft tissue publication-title: Math. Biosci. doi: 10.1016/0025-5564(96)00044-2 – volume: 17 start-page: 575 issue: 5 year: 2004 ident: 10.1016/j.jtbi.2025.112083_bib0045 article-title: Travelling waves in a wound healing assay publication-title: Appl. Math. Lett. doi: 10.1016/S0893-9659(04)90128-0 – year: 2015 ident: 10.1016/j.jtbi.2025.112083_bib0074 – volume: 279 start-page: 3329 issue: 1741 year: 2012 ident: 10.1016/j.jtbi.2025.112083_bib0050 article-title: Modelling the interaction of keratinocytes and fibroblasts during normal and abnormal wound healing processes publication-title: Proc. Biol. Sci. – volume: 7 start-page: 11 issue: 2 year: 1994 ident: 10.1016/j.jtbi.2025.112083_bib0015 article-title: The speed of cornea1 epithelial wound healing publication-title: Appl. Math. Lett. doi: 10.1016/0893-9659(94)90022-1 – volume: 68 start-page: 197 issue: 1 year: 2006 ident: 10.1016/j.jtbi.2025.112083_bib0081 article-title: Macrophage dynamics in diabetic wound dealing publication-title: Bull. Math. Biol. doi: 10.1007/s11538-005-9022-3 – volume: 48 start-page: 970 issue: 9 year: 2014 ident: 10.1016/j.jtbi.2025.112083_bib0009 article-title: Oxidation and modification of extracellular matrix and its role in disease publication-title: Free Radic. Res. doi: 10.3109/10715762.2014.920087 – volume: 74 start-page: 1143 year: 2012 ident: 10.1016/j.jtbi.2025.112083_bib0053 article-title: A fibrocontractive mechanochemical model of dermal wound closure incorporating realistic growth factor kinetics publication-title: Bull. Math. Biol. doi: 10.1007/s11538-011-9712-y – volume: 2 year: 2022 ident: 10.1016/j.jtbi.2025.112083_bib0086 article-title: Push or pull? cell proliferation and migration during wound healing publication-title: Front. Syst. Biol. doi: 10.3389/fsysb.2022.876075 – volume: 105 start-page: 2628 issue: 7 year: 2008 ident: 10.1016/j.jtbi.2025.112083_bib0068 article-title: Wound angiogenesis as a function of tissue oxygen tension: a mathematical model publication-title: Proc. Natl. Acad. Sci. USA doi: 10.1073/pnas.0711642105 – volume: 254 start-page: 178 issue: 1 year: 2008 ident: 10.1016/j.jtbi.2025.112083_bib0046 article-title: A methodology for performing global uncertainty and sensitivity analysis in systems biology publication-title: J. Theor. Biol. doi: 10.1016/j.jtbi.2008.04.011 – ident: 10.1016/j.jtbi.2025.112083_bib0038 – volume: 10 start-page: 328 issue: 6 year: 2021 ident: 10.1016/j.jtbi.2025.112083_bib0049 article-title: Mathematical modeling can advance wound healing research publication-title: Adv. Wound Care (New Rochelle) doi: 10.1089/wound.2019.1132 – year: 2020 ident: 10.1016/j.jtbi.2025.112083_bib0064 – volume: 1864 start-page: 1940 issue: 11 year: 2017 ident: 10.1016/j.jtbi.2025.112083_bib0001 article-title: Matrix metalloproteinase collagenolysis in health and disease publication-title: Biochim. Biophys. Acta Mol. Cell Res. doi: 10.1016/j.bbamcr.2017.04.015 – volume: 66 start-page: 1376 issue: 4 year: 2004 ident: 10.1016/j.jtbi.2025.112083_bib0055 article-title: Tnf-alpha and il-1beta-mediated regulation of mmp-9 and timp-1 in renal proximal tubular cells publication-title: Kidney Int. doi: 10.1111/j.1523-1755.2004.00900.x – volume: 181 start-page: 259 year: 2010 ident: 10.1016/j.jtbi.2025.112083_bib0067 article-title: Variance based sensitivity analysis of model output. design and estimator for the total sensitivity index publication-title: Comput. Phys. Commun. doi: 10.1016/j.cpc.2009.09.018 – volume: 59 start-page: 3873 issue: 8 year: 1973 ident: 10.1016/j.jtbi.2025.112083_bib0012 article-title: Study of sensitivity of coupled reaction systems to uncertainties in rate coefficients 1. theory publication-title: J. Chem. Phys. doi: 10.1063/1.1680571 – volume: 241 start-page: 29 issue: 1300 year: 1990 ident: 10.1016/j.jtbi.2025.112083_bib0070 article-title: Models of epidermal wound healing publication-title: Proc. Biol. Sci. doi: 10.1098/rspb.1990.0061 – volume: 2 year: 2022 ident: 10.1016/j.jtbi.2025.112083_bib0037 article-title: A new mechanochemical model for apical constriction: coupling calcium signalling and viscoelasticity publication-title: Front. Syst. Biol. doi: 10.3389/fsysb.2022.962790 – volume: 1999 start-page: 449 issue: 4 year: 1999 ident: 10.1016/j.jtbi.2025.112083_bib0016 article-title: Mathematical modelling of extracellular matrix dynamics using discrete cells: fiber orientation and tissue regeneration publication-title: J. Theor. Biol. doi: 10.1006/jtbi.1999.0971 – volume: 9 start-page: 278 issue: 4 year: 2001 ident: 10.1016/j.jtbi.2025.112083_bib0017 article-title: Modeling the effects of transforming growth factor-beta on extracellular matrix alignment in dermal wound repair publication-title: Wound Repair. Regen. doi: 10.1046/j.1524-475X.2001.00278.x – volume: 72 start-page: 1867 issue: 7 year: 2010 ident: 10.1016/j.jtbi.2025.112083_bib0024 article-title: Mathematical model of hyperbaric oxygen therapy applied to chronic diabetic wounds publication-title: Bull. Math. Biol. doi: 10.1007/s11538-010-9514-7 – volume: 383 start-page: 61 year: 2015 ident: 10.1016/j.jtbi.2025.112083_bib0003 article-title: A mathematical model for lymphangiogenesis in normal and diabetic wounds publication-title: J. Theor. Biol. doi: 10.1016/j.jtbi.2015.07.023 – volume: 17 issue: 14 year: 2023 ident: 10.1016/j.jtbi.2025.112083_bib0007 article-title: Targeting matrix metalloproteases in diabetic wound healing publication-title: Front. Immunol. – volume: 89 start-page: 219 issue: 3 year: 2010 ident: 10.1016/j.jtbi.2025.112083_bib0033 article-title: Factors affecting wound healing publication-title: J. Dent. Res. doi: 10.1177/0022034509359125 – volume: 9 start-page: 1 issue: 718377 year: 2021 ident: 10.1016/j.jtbi.2025.112083_bib0023 article-title: Biomimetic hydrogels to promote wound healing publication-title: Front. Bioeng. Biotechnol. – volume: 16 issue: 2 year: 2023 ident: 10.1016/j.jtbi.2025.112083_bib0073 article-title: Computational modeling of angiogenesis: the importance of cell rearrangements during vascular growth publication-title: WIREs Mech. Dis. – volume: 73 start-page: 3861 issue: 20 year: 2016 ident: 10.1016/j.jtbi.2025.112083_bib0041 article-title: Transition from inflammation to proliferation: a critical step during wound healing publication-title: Cell. Mol. Life Sci. doi: 10.1007/s00018-016-2268-0 – volume: 158 start-page: 145 issue: 2 year: 1999 ident: 10.1016/j.jtbi.2025.112083_bib0057 article-title: Mathematical modelling of anisotropy in fibrous connective tissue publication-title: Math. Biosci. doi: 10.1016/S0025-5564(99)00005-X – volume: 165 start-page: 41 issue: 1 year: 2000 ident: 10.1016/j.jtbi.2025.112083_bib0082 article-title: Keratinocyte growth factor signalling: a mathematical model of derma-epidermal interaction in epidermal wound healing publication-title: Math. Biosci. doi: 10.1016/S0025-5564(00)00008-0 – volume: 90 start-page: 2297 issue: 7 year: 2006 ident: 10.1016/j.jtbi.2025.112083_bib0035 article-title: Deterministic model of dermal wound invasion incorporating receptor-mediated signal transduction and spatial gradient sensing publication-title: Biophys. J. doi: 10.1529/biophysj.105.077610 – volume: 85 issue: 96 year: 2023 ident: 10.1016/j.jtbi.2025.112083_bib0019 article-title: Modelling the effect of matrix metalloproteinases in dermal wound healing publication-title: Bull. Math. Biol. – volume: 7 issue: 11 year: 2012 ident: 10.1016/j.jtbi.2025.112083_bib0002 article-title: Pegylation extends circulation half-life while preserving in vitro and in vivo activity of tissue inhibitor of metalloproteinases-1 (timp-1) publication-title: PLoS One doi: 10.1371/journal.pone.0050028 – volume: 364 start-page: 1385 issue: 1843 year: 2006 ident: 10.1016/j.jtbi.2025.112083_bib0048 article-title: Fibroblast migration and collagen deposition during dermal wound healing: mathematical modelling and clinical implications publication-title: Philos. Trans. A Math. Phys. Eng. Sci. – volume: 20 year: 2013 ident: 10.1016/j.jtbi.2025.112083_bib0079 article-title: Mathematical model of gas plasma applied to chronic wounds publication-title: Phys. Plasmas doi: 10.1063/1.4826955 – volume: 2 start-page: 527 issue: 9 year: 2013 ident: 10.1016/j.jtbi.2025.112083_bib0088 article-title: Computational modeling of inflammation and wound healing publication-title: Adv. Wound Care (New Rochelle) doi: 10.1089/wound.2012.0416 – volume: 82 issue: 137 year: 2020 ident: 10.1016/j.jtbi.2025.112083_bib0028 article-title: Mathematical model of chronic dermal wounds in diabetes and obesity publication-title: J. Theor. Biol. – volume: 15 start-page: 672 issue: 5 year: 2007 ident: 10.1016/j.jtbi.2025.112083_bib0051 article-title: Agent-based model of inflammation and wound healing: insights into diabetic foot ulcer pathology and the role of transforming growth factor-β1 publication-title: Wound Repair. Regen. doi: 10.1111/j.1524-475X.2007.00271.x – volume: 45 issue: 44 year: 2012 ident: 10.1016/j.jtbi.2025.112083_bib0058 article-title: Wound healing modeling: investigating ambient gas plasma treatment efficacy publication-title: J. Phys. D doi: 10.1088/0022-3727/45/44/445201 – volume: 41 start-page: 756 issue: 3 year: 2000 ident: 10.1016/j.jtbi.2025.112083_bib0011 article-title: Tgf-b1, -b2, and -b3 in vitro: biphasic effects on tenon’s fibroblast contraction, proliferation, and migration publication-title: Investig. Ophthalmol. Vis. Sci. – volume: 332 start-page: 1 issue: 1–2 year: 2009 ident: 10.1016/j.jtbi.2025.112083_bib0042 article-title: Keratinocyte-releasable factors increased the expression of MMP1 and MMP3 in co-cultured fibroblasts under both 2d and 3d culture conditions publication-title: Mol. Cell. Biochem. – volume: 18 start-page: 493 issue: 4 year: 2021 ident: 10.1016/j.jtbi.2025.112083_bib0054 article-title: The role of mechanical interactions in EMT publication-title: Phys. Biol. doi: 10.1088/1478-3975/abf425 – volume: 306 start-page: 1006 issue: 11 year: 2014 ident: 10.1016/j.jtbi.2025.112083_bib0039 article-title: Matrix metalloproteinase-9 activates TGF-β and stimulates fibroblast contraction of collagen gels publication-title: Am. J. Physiol. Lung Cell Mol. Physiol. doi: 10.1152/ajplung.00015.2014 – year: 2020 ident: 10.1016/j.jtbi.2025.112083_bib0059 – volume: 28 start-page: 493 issue: 4 year: 2019 ident: 10.1016/j.jtbi.2025.112083_bib0080 article-title: A multiscale hybrid mathematical model of epidermal-dermal interactions during skin wound healing publication-title: Exp. Dermatol. doi: 10.1111/exd.13909 – volume: 294 start-page: 611 issue: 9 year: 2009 ident: 10.1016/j.jtbi.2025.112083_bib0085 article-title: Electrospun composite mats of poly[(d,l-lactide)-co-glycolide] and collagen with high porosity as potential scaffolds for skin tissue engineering publication-title: Macromol. Mater. Eng. doi: 10.1002/mame.200900052 – volume: 38 start-page: 1376 issue: 6 year: 2003 ident: 10.1016/j.jtbi.2025.112083_bib0043 article-title: Mechanism of inhibition of matrix metalloproteinase-2 expression by doxycycline in human aortic smooth muscle cells publication-title: J. Vasc. Surg. doi: 10.1016/S0741-5214(03)01022-X – volume: 7 start-page: 19 issue: 42 year: 2009 ident: 10.1016/j.jtbi.2025.112083_bib0013 article-title: A mathematical model of wound healing and subsequent scarring publication-title: J. R. Soc. Interface doi: 10.1098/rsif.2008.0536 – volume: 51 start-page: 4517 issue: 19 year: 1996 ident: 10.1016/j.jtbi.2025.112083_bib0069 article-title: Mechanisms of corneal epithelial wound healing publication-title: Chem. Eng. Sci. doi: 10.1016/0009-2509(96)00299-0 – volume: 10 issue: 16192 year: 2020 ident: 10.1016/j.jtbi.2025.112083_bib0052 article-title: An on-chip wound healing assay fabricated by xurography for evaluation of dermal fibroblast cell migration and wound closure publication-title: Sci. Rep. – volume: 17 issue: 12 year: 2016 ident: 10.1016/j.jtbi.2025.112083_bib0087 article-title: Inflammation in chronic wounds publication-title: Int. J. Mol. Sci. doi: 10.3390/ijms17122085 – volume: 13 start-page: 1 issue: 1050630 year: 2022 ident: 10.1016/j.jtbi.2025.112083_bib0030 article-title: Role of matrix metalloproteinases in diabetic foot ulcers: potential therapeutic targets publication-title: Front. Pharmacol. – volume: 6 start-page: 1 issue: 9 year: 2011 ident: 10.1016/j.jtbi.2025.112083_bib0010 article-title: Diffusion of MMPs on the surface of collagen fibrils: the mobile cell surface—collagen substratum interface publication-title: PLoS One doi: 10.1371/journal.pone.0024029 – volume: 28 start-page: 519 issue: 5 year: 2010 ident: 10.1016/j.jtbi.2025.112083_bib0072 article-title: Chronic wound infection: facts and controversies publication-title: Clin. Dermatol. doi: 10.1016/j.clindermatol.2010.03.009 – volume: 59 start-page: 1077 issue: 6 year: 1997 ident: 10.1016/j.jtbi.2025.112083_bib0014 article-title: Role of fibroblast migration in collagen fiber formation during fetal and adult dermal wound healing publication-title: Bull. Math. Biol. doi: 10.1007/BF02460102 – volume: 16 start-page: 369 issue: 4 year: 1999 ident: 10.1016/j.jtbi.2025.112083_bib0031 article-title: Modelling corneal epithelial wound closure in the presence of physiological electric fields via a moving boundary formalism publication-title: IMA J. Math. Appl. Med. Biol. doi: 10.1093/imammb/16.4.369 – volume: 13 issue: 8 year: 2018 ident: 10.1016/j.jtbi.2025.112083_bib0005 article-title: High glucose-induced oxidative stress impairs proliferation and migration of human gingival fibroblasts publication-title: PLoS One doi: 10.1371/journal.pone.0201855 – year: 2006 ident: 10.1016/j.jtbi.2025.112083_bib0008 article-title: Encyclopedia of Respiratory Medicine Shapiro – volume: 1803 start-page: 55 issue: 1 year: 2010 ident: 10.1016/j.jtbi.2025.112083_bib0004 article-title: The tissue inhibitors of metalloproteinases (TIMPs): an ancient family with structural and functional diversity publication-title: Biochim. Biophys. Acta doi: 10.1016/j.bbamcr.2010.01.003 – volume: 18 issue: 175 year: 2021 ident: 10.1016/j.jtbi.2025.112083_bib0022 article-title: Infection, inflammation and intervention: mechanistic modelling of epithelial cells in COVID-19 publication-title: J. R. Soc. Interface doi: 10.1098/rsif.2020.0950 – ident: 10.1016/j.jtbi.2025.112083_bib0063 – volume: 10 issue: 1 year: 2020 ident: 10.1016/j.jtbi.2025.112083_bib0083 article-title: Red-COLA1: a human fibroblast reporter cell line for type i collagen transcription publication-title: Sci. Rep. doi: 10.1038/s41598-020-75683-5 – volume: 6 start-page: 1 issue: 262 year: 2015 ident: 10.1016/j.jtbi.2025.112083_bib0026 article-title: On the mathematical modelling of wound healing angiogenesis in skin as a reaction-transport process publication-title: Front. Physiol. – volume: 4 start-page: 560 issue: 9 year: 2015 ident: 10.1016/j.jtbi.2025.112083_bib0029 article-title: Challenges in the treatment of chronic wounds publication-title: Adv. Wound Care New Rochelle doi: 10.1089/wound.2015.0635 – volume: 7 issue: 1534 year: 2024 ident: 10.1016/j.jtbi.2025.112083_bib0036 article-title: Cellular and molecular roles of reactive oxygen species in wound healing publication-title: Commun. Biol. – year: 2016 ident: 10.1016/j.jtbi.2025.112083_bib0056 – volume: 102 start-page: 1085 issue: 4 year: 1992 ident: 10.1016/j.jtbi.2025.112083_bib0060 article-title: Production of collagenase and tissue inhibitor of metalloproteinases by fibroblasts derived from normal and fibrotic human lungs publication-title: Chest doi: 10.1378/chest.102.4.1085 – volume: 276 start-page: 75 issue: 5309 year: 1997 ident: 10.1016/j.jtbi.2025.112083_bib0047 article-title: Wound healing - aiming for perfect skin regeneration publication-title: Science doi: 10.1126/science.276.5309.75 – volume: 158 start-page: 135 issue: 2 year: 1992 ident: 10.1016/j.jtbi.2025.112083_bib0076 article-title: Continuum model of fibroblast-driven wound contraction: inflammation-mediation publication-title: J. Theor. Biol. doi: 10.1016/S0022-5193(05)80715-5 – volume: 123 start-page: 4195 issue: 24 year: 2010 ident: 10.1016/j.jtbi.2025.112083_bib0027 article-title: The extracellular matrix at a glance publication-title: J. Cell Sci. doi: 10.1242/jcs.023820 – volume: 17 start-page: 379 issue: 4 year: 2000 ident: 10.1016/j.jtbi.2025.112083_bib0018 article-title: Biological implications of a discrete mathematical model for collagen deposition and alignment in dermal wound repair publication-title: IMA J. Math. Appl. Med. Biol. doi: 10.1093/imammb/17.4.379 – volume: 23 start-page: 4256 issue: 6 year: 2019 ident: 10.1016/j.jtbi.2025.112083_bib0066 article-title: Diversity of dermal fibroblasts as major determinant of variability in cell reprogramming publication-title: J. Cell Mol. Med. doi: 10.1111/jcmm.14316 |
| SSID | ssj0009436 |
| Score | 2.4842105 |
| Snippet | Understanding the biochemistry and pharmacodynamics of chronic wounds is of key importance, due to the millions of people in the UK affected and the... |
| SourceID | proquest pubmed crossref elsevier |
| SourceType | Aggregation Database Index Database Enrichment Source Publisher |
| StartPage | 112083 |
| SubjectTerms | Chronic Disease Extracellular Matrix - metabolism Fibroblasts - metabolism Humans Matrix Metalloproteinases - metabolism Models, Biological Tissue Inhibitor of Metalloproteinases - metabolism Wound Healing - physiology |
| Title | Understanding the regulation of chronic wounds by tissue inhibitors of matrix metalloproteinases through mathematical modelling |
| URI | https://dx.doi.org/10.1016/j.jtbi.2025.112083 https://www.ncbi.nlm.nih.gov/pubmed/40020775 https://www.proquest.com/docview/3172776545 |
| Volume | 604 |
| WOSCitedRecordID | wos001441769300001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1095-8541 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0009436 issn: 0022-5193 databaseCode: AIEXJ dateStart: 19950107 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3LbtNAFB2lKaBuEG9SoBokdpGrYHvG9rJCRYBQhEQrZWd5XiJV6kRNU9IVC36ce-dhu41SwYKNFdnj5zmZOTNz5x5C3kHNZ7iRcaQYE1FqKhZVvGARFzKuAPKMaZtd_2s2HueTSfGt1_sd1sJczbK6ztfrYvFfoYZ9ADYunf0HuJuLwg74DaDDFmCH7V8Bf3pjuYqNIHR-814aSpcOd_gTDZWWVn7ajz-c1j-mYmrdd3DSHXP3r9FhGqfmbTqHaQ1N3rKx9jlvMr7iChR01JmFdnBT7XYXTPrET51BchtS8B0eq2kkMAhHaa9sV0LXw07eSOU8tMeYHdhHefuBi5jZMEHXuGpX2YK8i3LmEl-F2piP0k59Cmpw5IxuNqp6N-pwBm8kpod4_cPNwoDM4tzinKIuzpxJy60E2-HQDtmNM1bkfbJ79Pl48qXN3ZziDPd-Gxp4-5Z75EG4yDZ5s637YmXMySPy0CNCjxxvHpOerp-Q-86R9Pop-XWDPRRQoy176NxQzx7q2EPFNXXsoS17sJhjD91kD_XsoV320IY9z8jpx-OTD58i79ERSXjly0gWihvGUxmrEYsN2p0JYdJEi1yrXEBvVCbaSFVwIxg0rjJNOfRREsVVrCUTyXPSr-e1fkmoiWWFvi8CNCZ0E-JCsYIVOgMBaaDd4QPyPnzaUvoE9uijMitDpOJZiciUiEzpkBmQYXPOwqVvubM0C4iVXoA6YVkC6e48722At4TaGafcqlrPV8sywf5BxqGbMiAvHO7NcwTK7G898orstX-c16R_ebHSb8g9eQXIXhyQnWySH3iy_gElRbqb |
| linkProvider | Elsevier |
| 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=Understanding+the+regulation+of+chronic+wounds+by+tissue+inhibitors+of+matrix+metalloproteinases+through+mathematical+modelling&rft.jtitle=Journal+of+theoretical+biology&rft.au=Dari%2C+Sonia&rft.au=O%27dea%2C+Reuben+D&rft.au=Fadai%2C+Nabil+T&rft.date=2025-05-07&rft.eissn=1095-8541&rft.volume=604&rft.spage=112083&rft_id=info:doi/10.1016%2Fj.jtbi.2025.112083&rft_id=info%3Apmid%2F40020775&rft.externalDocID=40020775 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-5193&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-5193&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-5193&client=summon |