Authors: Chaplain, Mark A. J.¹ (AUTHOR), Lorenzi, Tommaso¹ (AUTHOR), Macfarlane, Fiona R.¹ (AUTHOR) frm3@st-andrews.ac.uk

Superior Title: Journal of Mathematical Biology. Jan2020, Vol. 80 Issue 1/2, p343-371. 29p.

Subject Terms: *CELL populations, *PARTIAL differential equations, *NONLINEAR differential equations, *CELLULAR evolution

Authors: Hill, Lydia, Chaplain, Mark Andrew Joseph, Wolf, Roland, Kapelyukh, Yury

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

Availability: https://doi.org/10.1093/imammb/dqv029
http://hdl.handle.net/10023/9611

Authors: Wu, Min, Frieboes, Hermann B., Chaplain, Mark A. J., McDougall, Steven R., Cristini, Vittorio, Lowengrub, John S.

Contributors: University of St Andrews. Applied Mathematics

Subject Terms: Chemotherapy, Cancer simulation, Tumor vasculature, Tumor lymphatics, Interstitial fluid pressure, RM Therapeutics. Pharmacology, QH301 Biology, SDG 3 - Good Health and Well-being, RM, QH301

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Relation: Journal of Theoretical Biology; Wu , M , Frieboes , H B , Chaplain , M A J , McDougall , S R , Cristini , V & Lowengrub , J S 2014 , ' The effect of interstitial pressure on therapeutic agent transport : coupling with the tumor blood and lymphatic vascular systems ' , Journal of Theoretical Biology , vol. 355 , pp. 194-207 . https://doi.org/10.1016/j.jtbi.2014.04.012; PURE: 206440313; PURE UUID: 8019d776-cdb0-46ed-aebf-3e0a2564ed73; RIS: urn:5E643B79FADEDF5CF52828D45CF8C452; Scopus: 84899859337; ORCID: /0000-0001-5727-2160/work/55379010; http://hdl.handle.net/10023/8648; https://doi.org/10.1016/j.jtbi.2014.04.012; http://www.sciencedirect.com/science/article/pii/S002251931400232X

Availability: https://doi.org/10.1016/j.jtbi.2014.04.012
http://hdl.handle.net/10023/8648
http://www.sciencedirect.com/science/article/pii/S002251931400232X

Authors: Sturrock, Marc, Hellander, Andreas, Aldakheel, Sahar, Petzold, Linda, Chaplain, Mark A. J.

Contributors: University of St Andrews. Applied Mathematics

Subject Terms: Hes1, Spatial stochastic modelling, Dimerisation, Nuclear transport, URDME, QH301 Biology, QA Mathematics, SDG 3 - Good Health and Well-being, QH301, QA

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Relation: Bulletin of Mathematical Biology; Sturrock , M , Hellander , A , Aldakheel , S , Petzold , L & Chaplain , M A J 2014 , ' The role of dimerisation and nuclear transport in the Hes1 gene regulatory network ' , Bulletin of Mathematical Biology , vol. 76 , no. 4 , pp. 766-798 . https://doi.org/10.1007/s11538-013-9842-5; PURE: 206440858; PURE UUID: 6fd2f286-e7cf-460c-afdc-8ce19e1a5f3a; RIS: urn:B2A740A77C03E383290B8BB4F4FD7382; Scopus: 84899544543; ORCID: /0000-0001-5727-2160/work/55379011; http://hdl.handle.net/10023/8458; https://doi.org/10.1007/s11538-013-9842-5

Availability: https://doi.org/10.1007/s11538-013-9842-5
http://hdl.handle.net/10023/8458

Authors: Macnamara, Cicely K., Chaplain, Mark A.J.

Relation: Macnamara, C. K. and Chaplain, M. A.J. (2016) Diffusion driven oscillations in gene regulatory networks. Journal of Theoretical Biology , 407, pp. 51-70. (doi:10.1016/j.jtbi.2016.07.021 ) (PMID:27449790)

Availability: https://doi.org/10.1016/j.jtbi.2016.07.021
http://eprints.gla.ac.uk/251342/

Authors: Lorenzi, Tommaso, Venkataraman, Chandrasekhar, Lorz, Alexander, Chaplain, Mark A. J.

Contributors: EPSRC, University of St Andrews. Applied Mathematics

Subject Terms: Intratumour heterogeneity, Phenotypic selection, Mathematical oncology, Partial differential equations, Finite element methods, HA Statistics, RC0254 Neoplasms. Tumors. Oncology (including Cancer), SDG 3 - Good Health and Well-being, SDG 13 - Climate Action, HA, RC0254

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Relation: Lorenzi , T , Venkataraman , C , Lorz , A & Chaplain , M A J 2017 ' The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity ' University of St Andrews .; PURE: 249738933; PURE UUID: afac6412-c7b0-4641-a521-9a937ed8a812; ORCID: /0000-0001-5727-2160/work/55379071; http://hdl.handle.net/10023/10685; EP/N014642/1

Availability: http://hdl.handle.net/10023/10685

Authors: Maini, Philip K., Chaplain, Mark, Dosanjh, Achi

Superior Title: Bulletin of Mathematical Biology: A Journal Devoted to Research at the Junction of Computational, Theoretical and Experimental BiologyOfficial Journal of The Society for Mathematical Biology. January 2007 69(1):1-1

Authors: Domschke, Pia, Trucu, Dumitru, Gerisch, Alf, Chaplain, Mark A. J.

Contributors: University of St Andrews. Applied Mathematics

Subject Terms: Solid tumour spread, Non-local model, Heterogeneity, RC0254 Neoplasms. Tumors. Oncology (including Cancer), QA Mathematics, QH301 Biology, BDC, R2C, SDG 3 - Good Health and Well-being, RC0254, QA, QH301

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Relation: Journal of Theoretical Biology; Domschke , P , Trucu , D , Gerisch , A & Chaplain , M A J 2014 , ' Mathematical modelling of cancer invasion : implications of cell adhesion variability for tumour infiltrative growth patterns ' , Journal of Theoretical Biology , vol. 361 , pp. 41-60 . https://doi.org/10.1016/j.jtbi.2014.07.010; PURE: 206433689; PURE UUID: 6ace7620-1e7a-4c50-9a29-a9423c6e3456; RIS: urn:A4469B108580B2B878AB5390FBC68917; Scopus: 84905816523; ORCID: /0000-0001-5727-2160/work/55378881; http://hdl.handle.net/10023/7712; https://doi.org/10.1016/j.jtbi.2014.07.010; http://www.sciencedirect.com/science/journal/00225193

Availability: https://doi.org/10.1016/j.jtbi.2014.07.010
http://hdl.handle.net/10023/7712
http://www.sciencedirect.com/science/journal/00225193

Authors: Matzavinos, Anastasios, Roitershtein, Alexander, Shtylla, Blerta, Voller, Zachary, Liu, Sijia, Chaplain, Mark A.J.

Contributors: University of St Andrews. Applied Mathematics

Subject Terms: QA Mathematics, QH301 Biology, SDG 3 - Good Health and Well-being, QA, QH301

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Relation: Bulletin of Mathematical Biology; Matzavinos , A , Roitershtein , A , Shtylla , B , Voller , Z , Liu , S & Chaplain , M A J 2014 , ' Stochastic modelling of chromosomal segregation : errors can introduce correction ' , Bulletin of Mathematical Biology , vol. 76 , no. 7 , pp. 1590-1606 . https://doi.org/10.1007/s11538-014-9969-z; PURE: 206440000; PURE UUID: cff512c0-3db2-41cc-ba7c-910634d496a6; RIS: urn:3EB2FD717E63D38628264A85A6CD1F3F; Scopus: 84906943997; ORCID: /0000-0001-5727-2160/work/55378972; http://hdl.handle.net/10023/7711; https://doi.org/10.1007/s11538-014-9969-z

Availability: https://doi.org/10.1007/s11538-014-9969-z
http://hdl.handle.net/10023/7711

Authors: Enderling, Heiko, Chaplain, Mark A. J.

Contributors: University of St Andrews. Applied Mathematics

Subject Terms: Ordinary differential equations, Partial differential equation, Tumor modelling, Angiogenesis, RC0254 Neoplasms. Tumors. Oncology (including Cancer), QA Mathematics, QH301 Biology, SDG 3 - Good Health and Well-being, RC0254, QA, QH301

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Relation: Current Pharmaceutical Design; Enderling , H & Chaplain , M A J 2014 , ' Mathematical modeling of tumor growth and treatment ' , Current Pharmaceutical Design , vol. 20 , no. 30 , pp. 4934-4940 . https://doi.org/10.2174/1381612819666131125150434; PURE: 206432506; PURE UUID: 0430b227-525f-4c9c-a1b8-e050b64f571c; RIS: urn:4EA3D9AA2D70D8AA4A0F744011FF684D; Scopus: 84906217098; ORCID: /0000-0001-5727-2160/work/55378874; http://hdl.handle.net/10023/7710; https://doi.org/10.2174/1381612819666131125150434

Availability: https://doi.org/10.2174/1381612819666131125150434
http://hdl.handle.net/10023/7710

Authors: Franssen, Linnea C., Lorenzi, Tommaso, Burgess, Andrew E. F., Chaplain, Mark A. J.

Superior Title: Bulletin of Mathematical Biology; Jun2019, Vol. 81 Issue 6, p1965-2010, 46p

Subject Terms: CANCER invasiveness, METASTASIS, EXTRACELLULAR matrix, CANCER cells, MATHEMATICAL models

Authors: Anderson, Alexander R. A., Chaplain, Mark A. J., McDougall, Stephen

Superior Title: Modeling Tumor Vasculature ; page 105-133 ; ISBN 9781461400516 9781461400523

Availability: https://doi.org/10.1007/978-1-4614-0052-3_5

Authors: Chaplain, Mark A. J., McDougall, Steven R., Anderson, Alexander R. A.

Superior Title: Modeling Tumor Vasculature ; page 167-212 ; ISBN 9781461400516 9781461400523

Availability: https://doi.org/10.1007/978-1-4614-0052-3_8

Authors: Hughes, Janet, Gregor, Peter, Chaplain, Mark, Coleman, Graeme, McIver, Louise

Superior Title: Hughes , J , Gregor , P , Chaplain , M , Coleman , G & McIver , L 2009 , Research-teaching linkages : enhancing graduate attributes. Information and mathematical sciences . Quality Assurance Agency for Higher Education .

Availability: http://discovery.dundee.ac.uk/portal/en/research/researchteaching-linkages(b7b58bfd-c74a-4a61-b726-a4665cb912df).html
http://hdl.handle.net/10588/b7b58bfd-c74a-4a61-b726-a4665cb912df
http://www.enhancementthemes.ac.uk/pages/docdetail/docs/publications/enhancing-graduate-attributes-information-and-mathematical-sciences

Authors: Chaplain, Mark A. J.

Contributors: Lachowicz, Miroslaw

Superior Title: Chaplain , M A J 2008 , Modelling aspects of cancer growth : Multiscale problems in the life sciences . in M Lachowicz (ed.) , Multiscale problems in the life sciences . vol. 19405 , Lecture notes in mathematics , Springer , Berlin , pp. 147-200 . https://doi.org/10.1007/978-3-540-78362-6

Subject Terms: Necrosis factor-alpha, Plasminogen activation system, Traveling waves solutions, Gastric cacinoma cells, Pattern formation, Tumor growth, TGF-Beta, Multicellular spheroids, Autocrine growth, Breast cancer

Availability: https://doi.org/10.1007/978-3-540-78362-6
https://risweb.st-andrews.ac.uk/portal/en/researchoutput/modelling-aspects-of-cancer-growth(8642bba3-9579-43ee-85fa-a9734cd022b4).html

Authors: Mistry, Hitesh, Davidson, Fordyce, Chaplain, Mark, Jackson, Robert

Superior Title: Mistry , H , Davidson , F , Chaplain , M & Jackson , R 2008 , ' A pharmacodynamic model of the spindle assembly checkpoint and the action of the aurora kinase inhibitors ' , pp. 1642 .

Subject Terms: Cancer, Cell division, Kinetochores

Availability: https://risweb.st-andrews.ac.uk/portal/en/researchoutput/a-pharmacodynamic-model-of-the-spindle-assembly-checkpoint-and-the-action-of-the-aurora-kinase-inhibitors(ac7dc739-64f8-4b4b-9148-1b7a020758ca).html
http://www.aacrmeetingabstracts.org/cgi/content/meeting_abstract/2008/1_Annual_Meeting/1642

Authors: Banasiak, Jacek, Chaplain, Mark A. J., Miękisz, Jacek

Contributors: Capasso, Vincenzo, Lachowicz, Mirosław

Superior Title: Lecture Notes in Mathematics ; ISSN 0075-8434 ; ISBN 9783540783602 9783540783626

Availability: https://doi.org/10.1007/978-3-540-78362-6

Authors: Villa, Chiara, Chaplain, Mark Andrew Joseph, Gerisch, Alf, Lorenzi, Tommaso

Superior Title: Villa , C , Chaplain , M A J , Gerisch , A & Lorenzi , T , Mechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations (code) , 2021 , Software , GitLab .

Availability: https://risweb.st-andrews.ac.uk/portal/en/researchoutput/mechanical-models-of-pattern-and-form-in-biological-tissues-the-role-of-stressstrain-constitutive-equations-code(dea91a41-3c31-42dd-8f0c-6d972ee998a1).html
https://git-ce.rwth-aachen.de/alf.gerisch/VillaEtAl2021BullMathBiol

Authors: Hamis, Sara Jasmin, Chaplain, Mark Andrew Joseph

Superior Title: Hamis , S J & Chaplain , M A J , Quantifying ERK activity in response to inhibition of the BRAFV600E-MEK-ERK cascade using mathematical modelling (code) , 2021 , Software , GitHub . < https://github.com/SJHamis/MAPKcascades >

Availability: https://risweb.st-andrews.ac.uk/portal/en/researchoutput/quantifying-erk-activity-in-response-to-inhibition-of-the-brafv600emekerk-cascade-using-mathematical-modelling-code(475d7a47-cb44-433c-ad00-2f79f6f42d0e).html
https://github.com/SJHamis/MAPKcascades

Authors: Chaplain, Mark A. J.

Contributors: Alison, Malcolm R.

Superior Title: Chaplain , M A J 2007 , Mathematical models of cancer growth and development : The cancer handbook . in M R Alison (ed.) , The cancer handbook . Wiley , Chichester , pp. 936-953 .

Subject Terms: Cancer, Cancer development, Mathematical modelling

Availability: https://risweb.st-andrews.ac.uk/portal/en/researchoutput/mathematical-models-of-cancer-growth-and-development(5c670952-d019-448d-b6cb-a0008a65744e).html
http://copac.ac.uk/crn/014510538/html