Authors: Pitcher, Michael John, Dobson, Simon Andrew, Kelsey, Tom, Chaplain, Mark Andrew Joseph, Sloan, Derek James, Gillespie, Stephen Henry, Bowness, Ruth
Contributors: Medical Research Council, Academy of Medical Sciences, European Commission, University of St Andrews. Sir James Mackenzie Institute for Early Diagnosis, University of St Andrews. School of Computer Science, University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra, University of St Andrews. School of Mathematics and Statistics, University of St Andrews. Applied Mathematics, University of St Andrews. Infection and Global Health Division, University of St Andrews. School of Medicine, University of St Andrews. Centre for Biophotonics, University of St Andrews. Global Health Implementation Group, University of St Andrews. Gillespie Group, University of St Andrews. Infection Group, University of St Andrews. Biomedical Sciences Research Complex
Subject Terms: TB modelling, Disease models, Statistical modelling, Within-host mechanistic model, QA75 Electronic computers. Computer science, RA0421 Public health. Hygiene. Preventive Medicine, RC Internal medicine, NDAS, SDG 3 - Good Health and Well-being, QA75, RA0421, RC
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Relation: International Journal of Tuberculosis and Lung Disease; Pitcher , M J , Dobson , S A , Kelsey , T , Chaplain , M A J , Sloan , D J , Gillespie , S H & Bowness , R 2020 , ' How mechanistic in silico modelling can improve our understanding of TB disease and treatment ' , International Journal of Tuberculosis and Lung Disease , vol. 24 , no. 11 , pp. 1145-1150 . https://doi.org/10.5588/ijtld.20.0107; PURE: 269148390; PURE UUID: c847b1ec-88e1-4f6a-96c3-cfabc7b7c89c; ORCID: /0000-0002-8091-1458/work/83481726; ORCID: /0000-0002-4090-5168/work/83481808; ORCID: /0000-0001-6537-7712/work/83481823; ORCID: /0000-0001-5727-2160/work/83481901; ORCID: /0000-0001-9633-2103/work/83482096; Scopus: 85096029555; WOS: 000601098500003; ORCID: /0000-0002-7888-5449/work/83481952; http://hdl.handle.net/10023/20951; https://doi.org/10.5588/ijtld.20.0107; MR/P014704/1; SBF003\1052
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Cancer mutation, Two-population mathematical model, Cell-cell and cell-matrix adhesion, Integrins, Aggregation patterns, Travelling wave patterns, QA Mathematics, RC0254 Neoplasms. Tumors. Oncology (including Cancer), NDAS, SDG 3 - Good Health and Well-being, QA, RC0254
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Relation: Mathematical Medicine and Biology; Bitsouni , V , Trucu , D , Chaplain , M A J & Eftimie , R 2018 , ' Aggregation and travelling wave dynamics in a two-population model of cancer cell growth and invasion ' , Mathematical Medicine and Biology , vol. 35 , no. 4 , pp. 541–577 . https://doi.org/10.1093/imammb/dqx019; PURE: 251725938; PURE UUID: fde31e9c-d070-47ca-904e-e5146e57f432; ORCID: /0000-0001-5727-2160/work/55378967; Scopus: 85052332269; WOS: 000456591600006; http://hdl.handle.net/10023/12595; https://doi.org/10.1093/imammb/dqx019
Authors: Kim, Yangjin, Kang, Hyunji, Powathil, Gibin, Kim, Hyeongi, Trucu, Dumitru, Lee, Wanho, Lawler, Sean, Chaplain, Mark
Contributors: University of St Andrews. School of Mathematics and Statistics, University of St Andrews. Applied Mathematics
Subject Terms: QA Mathematics, NDAS, SDG 3 - Good Health and Well-being, QA
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Relation: PLoS ONE; Kim , Y , Kang , H , Powathil , G , Kim , H , Trucu , D , Lee , W , Lawler , S & Chaplain , M 2018 , ' Role of extracellular matrix and microenvironment in regulation of tumor growth and LAR-mediated invasion in glioblastoma ' , PLoS ONE , vol. 13 , no. 10 , e0204865 . https://doi.org/10.1371/journal.pone.0204865; PURE: 255933021; PURE UUID: 25f21d16-56d2-4023-9528-79d04eaabc49; Scopus: 85054432255; ORCID: /0000-0001-5727-2160/work/55378984; WOS: 000446383500053; http://hdl.handle.net/10023/16160; https://doi.org/10.1371/journal.pone.0204865
Contributors: University of St Andrews. School of Mathematics and Statistics, University of St Andrews. Applied Mathematics
Subject Terms: Blood vessel formation, Cluster formation, Cluster width, Cluster compactness, Nonlocal cell-to-cell adhesion, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), NDAS, SDG 3 - Good Health and Well-being, QA, QH301, RC0254
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Relation: Journal of Theoretical Biology; Villa , C , Gerisch , A & Chaplain , M A J 2021 , ' A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis ' , Journal of Theoretical Biology , vol. In Press , 110963 . https://doi.org/10.1016/j.jtbi.2021.110963; PURE: 276677325; PURE UUID: 7e8b029f-614a-4928-b59b-ecea436784dd; ORCID: /0000-0001-5727-2160/work/103865695; Scopus: 85120640641; http://hdl.handle.net/10023/26476; https://doi.org/10.1016/j.jtbi.2021.110963
Authors: Suzuki, Takashi, Minerva, Dhisa, Nishiyama, Koichi, Koshikawa, Naohiko, Chaplain, Mark Andrew Joseph
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Angiogenesis, Extracellular matrix degradation, Hybrid simulation, Mathematical model, Tumor microenvironment, RC0254 Neoplasms. Tumors. Oncology (including Cancer), QA Mathematics, NDAS, SDG 3 - Good Health and Well-being, RC0254, QA
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Relation: Cancer Science; Suzuki , T , Minerva , D , Nishiyama , K , Koshikawa , N & Chaplain , M A J 2018 , ' Study on the tumor-induced angiogenesis using mathematical models ' , Cancer Science , vol. 109 , no. 1 , pp. 15-23 . https://doi.org/10.1111/cas.13395; PURE: 251699880; PURE UUID: fd07b344-8afe-4b6e-9bbd-6ecff64e2e40; Bibtex: urn:7cbf5647dabc39c88c5ae50249e74787; Scopus: 85037343650; ORCID: /0000-0001-5727-2160/work/55378866; WOS: 000419892200002; http://hdl.handle.net/10023/12256; https://doi.org/10.1111/cas.13395
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Non-local model of cancer progression, Existence, Boundedness of solutions, Cell heterogeneity, TGF-beta, Cell-cell and cell-matrix adhesion, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), NDAS, SDG 3 - Good Health and Well-being, QA, QH301, RC0254
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Relation: Mathematical Models and Methods in Applied Sciences; Bitsouni , V , Chaplain , M A J & Eftimie , R 2017 , ' Mathematical modelling of cancer invasion : the multiple roles of TGF- β pathway on tumour proliferation and cell adhesion ' , Mathematical Models and Methods in Applied Sciences , vol. 27 , no. 10 , 1929 . https://doi.org/10.1142/S021820251750035X; PURE: 249996431; PURE UUID: 0fa2a6ab-38cd-41fb-bab1-099a9ee7aaab; Scopus: 85022072934; ORCID: /0000-0001-5727-2160/work/55378858; WOS: 000407180600004; http://hdl.handle.net/10023/11162; https://doi.org/10.1142/S021820251750035X
Authors: Chaplain, Mark, Ptashnyk, Mariya, Sturrock, Marc
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Gene regulatory network, Transcription factor, Negative feedback loop, Oscillations, Hopf bifurcation, Center manifold and normal form, Weakly nonlinear analysis, QA Mathematics, QH301 Biology, NDAS, BDC, R2C, SDG 3 - Good Health and Well-being, QA, QH301
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Relation: Mathematical Models and Methods in Applied Sciences; Chaplain , M , Ptashnyk , M & Sturrock , M 2015 , ' Hopf bifurcation in a gene regulatory network model : molecular movement causes oscillations ' , Mathematical Models and Methods in Applied Sciences , vol. 25 , no. 6 , pp. 1179-1215 . https://doi.org/10.1142/S021820251550030X; PURE: 206431985; PURE UUID: 3eb6bacf-4f3b-4c52-aff0-53fd43b75552; RIS: urn:E69CE837219A40C22A225F5D19E103EF; Scopus: 84928548767; ORCID: /0000-0001-5727-2160/work/55378988; http://hdl.handle.net/10023/7564; https://doi.org/10.1142/S021820251550030X
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Individual-based modelling, Cell population modelling, Cell-adhesion forces, E-cadherin, QA75 Electronic computers. Computer science, RC0254 Neoplasms. Tumors. Oncology (including Cancer), NDAS, BDC, R2C, SDG 3 - Good Health and Well-being, QA75, RC0254
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Relation: Journal of the Royal Society Interface; Schluter , D K , Ramis-Conde , I & Chaplain , M A J 2015 , ' Multi-scale modelling of the dynamics of cell colonies : insights into cell-adhesion forces and cancer invasion from in silico simulations ' , Journal of the Royal Society Interface , vol. 12 , no. 103 , 20141080 , pp. 1-13 . https://doi.org/10.1098/rsif.2014.1080; PURE: 206436327; PURE UUID: 50dc08d0-98d5-4964-9bee-c38e229b8634; RIS: urn:481794096B9C3F38BBF9E21F4DA52F11; Scopus: 85005790455; ORCID: /0000-0001-5727-2160/work/55378916; http://hdl.handle.net/10023/7571; https://doi.org/10.1098/rsif.2014.1080
Authors: Kim, Yangjin, Powathil, Gibin, Kang, Hyunji, Trucu, Dumitru, Kim, Hyeongi, Lawler, Sean, Chaplain, Mark
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: QA Mathematics, NDAS, SDG 3 - Good Health and Well-being, QA
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Relation: PLoS One; Kim , Y , Powathil , G , Kang , H , Trucu , D , Kim , H , Lawler , S & Chaplain , M 2015 , ' Strategies of eradicating glioma cells : a multi-scale mathematical model with miR-451-AMPK-mTOR control ' , PLoS One , vol. 10 , no. 1 , e0114370 . https://doi.org/10.1371/journal.pone.0114370; PURE: 206440173; PURE UUID: a5276527-f288-4605-867d-f40853567686; RIS: urn:D077304928562D76A63772CFFA006762; Scopus: 84961289886; ORCID: /0000-0001-5727-2160/work/55379009; http://hdl.handle.net/10023/7503; https://doi.org/10.1371/journal.pone.0114370
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Cancer-immune competition, Spatial movement, Individual-based models, Lévy walk, Brownian motion, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), NDAS, SDG 3 - Good Health and Well-being, QA, QH301, RC0254
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Relation: Bulletin of Mathematical Biology; Macfarlane , F R , Lorenzi , T & Chaplain , M A J 2018 , ' Modelling the immune response to cancer : an individual-based approach accounting for the difference in movement between inactive and activated T cells ' , Bulletin of Mathematical Biology , vol. 80 , no. 6 , pp. 1539-1562 . https://doi.org/10.1007/s11538-018-0412-8; PURE: 252008755; PURE UUID: f360e150-f218-49e0-8620-1074adce1b17; Scopus: 85043704189; ORCID: /0000-0001-5727-2160/work/55378932; ORCID: /0000-0003-2242-7745/work/60196606; WOS: 000433002400004; http://hdl.handle.net/10023/17262; https://doi.org/10.1007/s11538-018-0412-8
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Cancer invasion, Structured cell population dynamics, Computational modelling, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), NDAS, SDG 3 - Good Health and Well-being, QA, QH301, RC0254
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Relation: Bulletin of Mathematical Biology; Hodgkinson , A , Chaplain , M A J , Domschke , P & Trucu , D 2018 , ' Computational approaches and analysis for a spatio-structural-temporal invasive carcinoma model ' , Bulletin of Mathematical Biology , vol. 80 , no. 4 , pp. 701-737 . https://doi.org/10.1007/s11538-018-0396-4; PURE: 252047094; PURE UUID: 48269cba-73ff-4b4c-aa49-64ea839d6560; Scopus: 85044341233; ORCID: /0000-0001-5727-2160/work/55378859; WOS: 000428067300001; http://hdl.handle.net/10023/17200; https://doi.org/10.1007/s11538-018-0396-4
Authors: Szymanska, Zuzanna, Cytowski, Maciej, Mitchell, Elaine, Macnamara, Cicely K., Chaplain, Mark A. J.
Contributors: EPSRC, University of St Andrews. Applied Mathematics
Subject Terms: Multiscale cancer modelling, Gene regulatory network, Spatial stochastic model, Individual based model, Computational simulations, QA75 Electronic computers. Computer science, QH301 Biology, NDAS, BDC, R2C, SDG 3 - Good Health and Well-being, QA75, QH301
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Relation: Bulletin of Mathematical Biology; Szymanska , Z , Cytowski , M , Mitchell , E , Macnamara , C K & Chaplain , M A J 2018 , ' Computational modelling of cancer development and growth : modelling at multiple scales and multiscale modelling ' , Bulletin of Mathematical Biology , vol. 80 , no. 5 , pp. 1366-1403 . https://doi.org/10.1007/s11538-017-0292-3; PURE: 249923859; PURE UUID: 4e8c1550-b7b0-4ab8-80fc-788ee108e617; Scopus: 85021181308; ORCID: /0000-0003-4961-6052/work/34574000; ORCID: /0000-0001-5727-2160/work/55378907; WOS: 000431110400018; http://hdl.handle.net/10023/14364; https://doi.org/10.1007/s11538-017-0292-3; EP/N014642/1
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Structured population modelling, Spatio-temporal model, Cell-surface receptors, Cancer invasion, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), NDAS, BDC, SDG 3 - Good Health and Well-being, QA, QH301, RC0254
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Relation: Journal of Mathematical Biology; Domschke , P , Trucu , D , Gerisch , A & Chaplain , M A J 2017 , ' Structured models of cell migration incorporating molecular binding processes ' , Journal of Mathematical Biology , vol. 75 , no. 6-7 , pp. 1517-1561 . https://doi.org/10.1007/s00285-017-1120-y; PURE: 249576825; PURE UUID: 3cc2713e-481f-4174-982e-93747c899f46; Scopus: 84995539364; ORCID: /0000-0001-5727-2160/work/55378939; WOS: 000413032600007; http://hdl.handle.net/10023/13127; https://doi.org/10.1007/s00285-017-1120-y
Authors: Burgess, Andrew E. F., Lorenzi, Tommaso, Schofield, Pietà G., Hubbard, Stephen F., Chaplain, Mark A. J.
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Spatial games, Random motion, Chemotaxis, Prisoner's dilemma, Spatial patterning, QA Mathematics, QH301 Biology, NDAS, QA, QH301
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Relation: Journal of Theoretical Biology; Burgess , A E F , Lorenzi , T , Schofield , P G , Hubbard , S F & Chaplain , M A J 2017 , ' Examining the role of individual movement in promoting coexistence in a spatially explicit prisoner's dilemma ' , Journal of Theoretical Biology , vol. 419 , pp. 323-332 . https://doi.org/10.1016/j.jtbi.2017.02.028; PURE: 249214691; PURE UUID: cd280183-308d-42ae-b1d9-2dcceec41c65; Scopus: 85014001202; ORCID: /0000-0001-5727-2160/work/55378940; WOS: 000400033400031; http://hdl.handle.net/10023/12813; https://doi.org/10.1016/j.jtbi.2017.02.028
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Cancer invasion, Multiscale modelling, uPA system, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), NDAS, SDG 3 - Good Health and Well-being, QA, QH301, RC0254
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Relation: Bulletin of Mathematical Biology; Peng , L , Trucu , D , Lin , P , Thompson , A & Chaplain , M A J 2017 , ' A multiscale mathematical model of tumour invasive growth ' , Bulletin of Mathematical Biology , vol. 79 , no. 3 , pp. 389-429 . https://doi.org/10.1007/s11538-016-0237-2; PURE: 248040855; PURE UUID: d35a600a-aec8-4a47-8346-6529d6a88053; Scopus: 85013101806; ORCID: /0000-0001-5727-2160/work/55379064; WOS: 000395156200001; http://hdl.handle.net/10023/12739; https://doi.org/10.1007/s11538-016-0237-2
Authors: Boujelben, Ahmed, Watson, Michael, McDougall, Steven, Yen, Yi-Fen, Gerstner, Elizabeth, Catana, Ciprian, Deisboeck, Thomas, Batchelor, Tracy, Boas, David, Rosen, Bruce, Kalpathy-Cramer, Jayashree, Chaplain, Mark Andrew Joseph
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Multimodality imaging, Glioblastoma, Drug delivery, Perfusion, Computational modelling and simulation, RM Therapeutics. Pharmacology, QA Mathematics, QH301 Biology, NDAS, RM, QA, QH301
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Relation: Interface Focus; Boujelben , A , Watson , M , McDougall , S , Yen , Y-F , Gerstner , E , Catana , C , Deisboeck , T , Batchelor , T , Boas , D , Rosen , B , Kalpathy-Cramer , J & Chaplain , M A J 2016 , ' Multimodality imaging and mathematical modelling of drug delivery to glioblastomas ' , Interface Focus , vol. 6 , no. 5 , 20160039 . https://doi.org/10.1098/rsfs.2016.0039; PURE: 244397885; PURE UUID: 49b008ef-e16d-4cf7-a583-eff59cb85b81; Scopus: 84983449497; ORCID: /0000-0001-5727-2160/work/55378931; WOS: 000382192900007; http://hdl.handle.net/10023/11513; https://doi.org/10.1098/rsfs.2016.0039
Contributors: University of St Andrews. Applied Mathematics, University of St Andrews. School of Medicine
Subject Terms: Multiscale mathematical model, Radiation therapy, Radiation-induced bystander effects, Cell-cycle, RC0254 Neoplasms. Tumors. Oncology (including Cancer), QA Mathematics, NDAS, SDG 3 - Good Health and Well-being, RC0254, QA
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Relation: Journal of Theoretical Biology; Powathil , G , Munro , A J , Chaplain , M A J & Swat , M 2016 , ' Bystander effects and their implications for clinical radiation therapy : insights from multiscale in silico experiments ' , Journal of Theoretical Biology , vol. 401 , pp. 1-14 . https://doi.org/10.1016/j.jtbi.2016.04.010; PURE: 241900897; PURE UUID: 3b1d9429-2bfb-4b29-9c00-45fe441e4532; Scopus: 84964438078; ORCID: /0000-0001-5727-2160/work/55378860; WOS: 000377844000001; http://hdl.handle.net/10023/10615; https://doi.org/10.1016/j.jtbi.2016.04.010
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Hes1 protein, Synthetic networks, Repressilators, Activator-repressor systems, Spatial modelling, RC0254 Neoplasms. Tumors. Oncology (including Cancer), QA Mathematics, QH301 Biology, NDAS, SDG 3 - Good Health and Well-being, RC0254, QA, QH301
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Relation: Journal of Theoretical Biology; Macnamara , C K & Chaplain , M A J 2016 , ' Diffusion driven oscillations in gene regulatory networks ' , Journal of Theoretical Biology , vol. 407 , pp. 51-70 . https://doi.org/10.1016/j.jtbi.2016.07.021; PURE: 244397967; PURE UUID: 160e339a-38f6-4516-90d9-b367f27fff15; Scopus: 84979533470; ORCID: /0000-0003-4961-6052/work/27162488; ORCID: /0000-0001-5727-2160/work/55378857; WOS: 000383111800005; http://hdl.handle.net/10023/11258; https://doi.org/10.1016/j.jtbi.2016.07.021
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Spatial evolutionary games, Hybrid models, Random motion, Chemotaxis, Hawk-Dove game, Spatial patterns, QA Mathematics, QH301 Biology, NDAS, QA, QH301
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Relation: Mathematical Modelling of Natural Phenomena; Burgess , A E F , Schofield , P G , Hubbard , S F , Chaplain , M A J & Lorenzi , T 2016 , ' Dynamical patterns of coexisting strategies in a hybrid discrete-continuum spatial evolutionary game model ' , Mathematical Modelling of Natural Phenomena , vol. 11 , no. 5 , pp. 49-64 . https://doi.org/10.1051/mmnp/201611504; PURE: 246489559; PURE UUID: 30fd94a8-83c1-4479-ba89-19f5339e9b8c; Scopus: 85002659441; ORCID: /0000-0001-5727-2160/work/55378985; WOS: 000389670900004; http://hdl.handle.net/10023/9625; https://doi.org/10.1051/mmnp/201611504
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: cytochrome P450 enzymes, compartment models, hepatic reductase null mice, drug metabolism, QA Mathematics, RM Therapeutics. Pharmacology, NDAS, QA, RM
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Relation: Mathematical Medicine and Biology; Hill , L , Chaplain , M A J , Wolf , R & Kapelyukh , Y 2015 , ' The usage of a three-compartment model to investigate the metabolic differences between hepatic reductase null and wild-type mice ' , Mathematical Medicine and Biology , vol. Advance Access . https://doi.org/10.1093/imammb/dqv029; PURE: 240466818; PURE UUID: 2a330f49-8a90-4a7f-8620-b8a8ed340980; Scopus: 85026692501; ORCID: /0000-0001-5727-2160/work/55379070; http://hdl.handle.net/10023/9611; https://doi.org/10.1093/imammb/dqv029