Contributors: EPSRC, University of St Andrews. School of Mathematics and Statistics, University of St Andrews. Applied Mathematics
Subject Terms: Cancer invasion, Multiscale modelling, Hybrid continuum-discrete, Coupled partial and stochastic partial differential equations, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), T-NDAS, SDG 3 - Good Health and Well-being, MCP, QA, QH301, RC0254
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Relation: Journal of Mathematical Biology; Katsaounis , D , Chaplain , M A J & Sfakianakis , N 2023 , ' Stochastic differential equation modelling of cancer cell migration and tissue invasion ' , Journal of Mathematical Biology , vol. 87 , 8 . https://doi.org/10.1007/s00285-023-01934-4; PURE: 286024315; PURE UUID: f4b46fca-7812-49fd-a182-66f682189b20; Scopus: 85162010961; ORCID: /0000-0001-5727-2160/work/137914897; ORCID: /0000-0002-2675-6338/work/137915595; ORCID: /0009-0002-7918-9805/work/137915716; http://hdl.handle.net/10023/27856; https://doi.org/10.1007/s00285-023-01934-4; EP/S030875/1
Authors: Katsaounis, Dimitrios, Harbour, Nicholas, Williams, Thomas, Chaplain, Mark Andrew Joseph, Sfakianakis, Nikolaos
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Cancer invasion, Multiscale modelling, Hybrid continuum-discrete, Coupled partial and stochastic partial differential equations, QA Mathematics, T-NDAS, SDG 3 - Good Health and Well-being, QA
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Relation: Bulletin of Mathematical Biology; 300492877; 44f22fa6-5196-4caa-a53e-94fd8fa17148; Katsaounis , D , Harbour , N , Williams , T , Chaplain , M A J & Sfakianakis , N 2024 , ' A genuinely hybrid, multiscale 3D cancer invasion and metastasis modelling framework ' , Bulletin of Mathematical Biology . https://doi.org/10.1007/s11538-024-01286-0; ORCID: /0000-0001-5727-2160/work/159432939; ORCID: /0009-0002-7918-9805/work/159433334; ORCID: /0000-0002-2675-6338/work/159433346; https://hdl.handle.net/10023/29838
Authors: Hamis, Sara Jasmin, Kapelyukh, Yury, Henderson, Colin J., Wolf, C. Roland, Chaplain, Mark Andrew Joseph
Contributors: University of St Andrews. School of Mathematics and Statistics, University of St Andrews. Applied Mathematics
Subject Terms: Computational science, Melanoma, Numerical simulations, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), RM Therapeutics. Pharmacology, DAS, SDG 3 - Good Health and Well-being, QA, QH301, RC0254, RM
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Relation: British Journal of Cancer; Hamis , S J , Kapelyukh , Y , Henderson , C J , Wolf , C R & Chaplain , M A J 2021 , ' Quantifying ERK activity in response to inhibition of the BRAFV600E-MEK-ERK cascade using mathematical modelling ' , British Journal of Cancer , vol. First Online . https://doi.org/10.1038/s41416-021-01565-w; PURE: 276152633; PURE UUID: 45fffd8b-e1a8-403c-984d-8c9db417f670; ORCID: /0000-0001-5727-2160/work/101218045; Scopus: 85116564458; WOS: 000704938600001; http://hdl.handle.net/10023/24104; https://doi.org/10.1038/s41416-021-01565-w
Authors: Xiao, Yunchen, Thomas, Len, Chaplain, Mark Andrew Joseph
Contributors: University of St Andrews. Applied Mathematics, University of St Andrews. School of Mathematics and Statistics, University of St Andrews. Statistics, University of St Andrews. Centre for Research into Ecological & Environmental Modelling
Subject Terms: Tumour cells, Cancer invasion, Metastasis, Approximate Bayesian computation, Bhattacharyya distance, Gradient matching, Generalized additive models, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), DAS, SDG 3 - Good Health and Well-being, QA, QH301, RC0254
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Relation: Royal Society Open Science; Xiao , Y , Thomas , L & Chaplain , M A J 2021 , ' Calibrating models of cancer invasion : parameter estimation using approximate Bayesian computation and gradient matching ' , Royal Society Open Science , vol. 8 , no. 6 , 202237 . https://doi.org/10.1098/rsos.202237; PURE: 274559124; PURE UUID: ad6cee3e-4e6a-478b-a77b-591e2208b806; ORCID: /0000-0002-7436-067X/work/96489382; ORCID: /0000-0001-5727-2160/work/96489554; WOS: 000663721400001; Scopus: 85111127910; http://hdl.handle.net/10023/23483; https://doi.org/10.1098/rsos.202237
Contributors: EPSRC, University of St Andrews. School of Mathematics and Statistics, University of St Andrews. Applied Mathematics
Subject Terms: Cell pattern formation, Turing patterns, Hybrid models, Individual-based models, Reaction-diffusion systems, QA Mathematics, QH301 Biology, T-NDAS, QA, QH301
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Relation: Mathematical Biosciences and Engineering; Macfarlane , F R , Chaplain , M A J & Lorenzi , T 2020 , ' A hybrid discrete-continuum approach to model Turing pattern formation ' , Mathematical Biosciences and Engineering , vol. 17 , no. 6 , pp. 7442-7479 . https://doi.org/10.3934/mbe.2020381; PURE: 270703973; PURE UUID: 656ba9a0-543c-4b9a-a675-72e96ac6186b; ORCID: /0000-0001-5727-2160/work/83481900; ORCID: /0000-0003-2242-7745/work/83482035; Scopus: 85099258220; WOS: 000621193600016; http://hdl.handle.net/10023/20961; https://doi.org/10.3934/mbe.2020381; EP/N014642/1
Contributors: University of St Andrews. School of Mathematics and Statistics, University of St Andrews. Applied Mathematics
Subject Terms: Rheumatoid arthritis, Mathematical models, Deterministic models, ODEs, PDEs, Probabilistic models, QA Mathematics, QH301 Biology, RC Internal medicine, T-NDAS, SDG 3 - Good Health and Well-being, QA, QH301, RC
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Relation: Cells; Macfarlane , F R , Chaplain , M A J & Eftimie , R 2019 , ' Quantitative predictive modelling approaches to understanding rheumatoid arthritis : a brief review ' , Cells , vol. 9 , no. 1 , 74 . https://doi.org/10.3390/cells9010074; PURE: 265382690; PURE UUID: 419e6de3-39ea-4da4-8c16-71005927b42e; WOS: 000515398200074; Scopus: 85090491128; http://hdl.handle.net/10023/19230; https://doi.org/10.3390/cells9010074
Authors: Bellomo, Nicola, Bingham, Richard, Chaplain, Mark A. J., Dosi, Giovanni, Forni, Guido, Knopoff, Damian A., Lowengrub, John, Twarock, Reidun, Virgillito, Maria Enrica
Contributors: University of St Andrews. Statistics, University of St Andrews. School of Mathematics and Statistics, University of St Andrews. Applied Mathematics
Subject Terms: COVID-19, Living systems, Immune competition, Complexity, Multiscale problems, Spatial patterns, Networks, Intracellular infection dynamics, Viral quasispecies, Virus structure modelling, SARS-CoV-2, QA Mathematics, QH301 Biology, QR355 Virology, T-NDAS, QA, QH301, QR355
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Relation: Mathematical Models and Methods in Applied Sciences; Bellomo , N , Bingham , R , Chaplain , M A J , Dosi , G , Forni , G , Knopoff , D A , Lowengrub , J , Twarock , R & Virgillito , M E 2020 , ' A multiscale model of virus pandemic : heterogeneous interactive entities in a globally connected world ' , Mathematical Models and Methods in Applied Sciences , vol. 30 , no. 08 , pp. 1591-1651 . https://doi.org/10.1142/s0218202520500323; PURE: 271218410; PURE UUID: 15165bf9-a69c-45e8-a4e4-25ace11d232b; Jisc: b1d556a797954ca7a6c06601803329bd; Scopus: 85090991017; ORCID: /0000-0001-5727-2160/work/83481899; WOS: 000569327900005; http://hdl.handle.net/10023/20974; https://doi.org/10.1142/s0218202520500323
Contributors: University of St Andrews. School of Mathematics and Statistics, University of St Andrews. Applied Mathematics
Subject Terms: Vascularised tumours, Evolutionary dynamics, Intra-tumour heterogeneity, Resistance to chemotherapy, Mathematical oncology, Non-local partial differential equations, QA Mathematics, RC0254 Neoplasms. Tumors. Oncology (including Cancer), T-NDAS, SDG 3 - Good Health and Well-being, QA, RC0254
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Relation: Vietnam Journal of Mathematics; Villa , C , Chaplain , M A J & Lorenzi , T 2020 , ' Evolutionary dynamics in vascularised tumours under chemotherapy : mathematical modelling, asymptotic analysis and numerical simulations ' , Vietnam Journal of Mathematics , vol. First Online . https://doi.org/10.1007/s10013-020-00445-9; PURE: 269967305; PURE UUID: 72279180-451c-442a-9b0e-7de674c2b9b8; ORCID: /0000-0001-5727-2160/work/82179661; WOS: 000576130300001; Scopus: 85092095732; http://hdl.handle.net/10023/20767; https://doi.org/10.1007/s10013-020-00445-9
Authors: Sfakianakis, Nikolaos, Chaplain, Mark
Contributors: Suzuki, Takashi, Poignard, Clair, Chaplain, Mark, Quaranta, Vito, EPSRC, University of St Andrews. Applied Mathematics, University of St Andrews. School of Mathematics and Statistics
Subject Terms: QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), T-NDAS, SDG 3 - Good Health and Well-being, AC, QA, QH301, RC0254
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Relation: Methods of Mathematical Oncology; Springer Proceedings in Mathematics & Statistics; Sfakianakis , N & Chaplain , M 2021 , Mathematical modelling of cancer invasion : a review . in T Suzuki , C Poignard , M Chaplain & V Quaranta (eds) , Methods of Mathematical Oncology : Fusion of Mathematics and Biology, Osaka, Japan, October 26–28, 2020 . Springer Proceedings in Mathematics & Statistics , vol. 370 , Springer , Singapore , pp. 153-172 , International Conference by Center for Mathematical Modeling and Data Science , Japan , 26/10/20 . https://doi.org/10.1007/978-981-16-4866-3_10; conference; PURE: 276114182; PURE UUID: 9743ddcd-cf1d-4f6a-928e-1efe2efc28d0; RIS: urn:48B5BFDD012F4AFB10809DA22D3FC53B; RIS: 10.1007/978-981-16-4866-3_10; Scopus: 85115175218; ORCID: /0000-0001-5727-2160/work/100901541; ORCID: /0000-0002-2675-6338/work/100901614; http://hdl.handle.net/10023/25867; https://doi.org/10.1007/978-981-16-4866-3_10; EP/S030875/1
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: Brüningk, Sarah, Powathil, Gibin, Ziegenhein, Peter, Ijaz, Jannat, Rivens, Ian, Nill, S., Chaplain, Mark Andrew Joseph, Oelfke, Uwe, ter Haar, Gail
Contributors: University of St Andrews. Applied Mathematics
Subject Terms: Hybrid multiscale model, Radiotherapy, Hyperthermia, Cell-cycle, Cancer, Tumour, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), E-DAS, SDG 3 - Good Health and Well-being, QA, QH301, RC0254
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Relation: Journal of the Royal Society Interface; Brüningk , S , Powathil , G , Ziegenhein , P , Ijaz , J , Rivens , I , Nill , S , Chaplain , M A J , Oelfke , U & ter Haar , G 2018 , ' Combining radiation with hyperthermia : a multiscale model informed by in vitro experiments ' , Journal of the Royal Society Interface , vol. 15 , no. 38 , 20170681 . https://doi.org/10.1098/rsif.2017.0681; PURE: 251701594; PURE UUID: 409af595-10e3-4826-bc82-17363a0f4550; Scopus: 85048537315; ORCID: /0000-0001-5727-2160/work/55378908; WOS: 000423770900011; http://hdl.handle.net/10023/12590; https://doi.org/10.1098/rsif.2017.0681
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. Applied Mathematics, University of St Andrews. School of Mathematics and Statistics
Subject Terms: Cancer invasion, Organotypic assay, Atomistic-continuum model, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), DAS, SDG 3 - Good Health and Well-being, QA, QH301, RC0254
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Relation: Journal of Theoretical Biology; Franssen , L C , Sfakianakis , N & Chaplain , M A J 2021 , ' A novel 3D atomistic-continuum cancer invasion model : in silico simulations of an in vitro organotypic invasion assay ' , Journal of Theoretical Biology , vol. 522 , 110677 . https://doi.org/10.1016/j.jtbi.2021.110677; PURE: 273263579; PURE UUID: d0d6a4a6-429c-490a-9e3c-9067d6164132; PubMed: 33781776; ORCID: /0000-0001-5727-2160/work/91685807; ORCID: /0000-0002-2675-6338/work/91685899; Scopus: 85104335410; WOS: 000652405200001; http://hdl.handle.net/10023/25111; https://doi.org/10.1016/j.jtbi.2021.110677
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: Liu, Ruirui, Higley, Kathryn, Swat, Maciej, Chaplain, Mark Andrew Joseph, Powathil, Gibin, Glazier, James
Contributors: University of St Andrews. School of Mathematics and Statistics, University of St Andrews. Applied Mathematics
Subject Terms: Computational radiation biology, Geant4, CompuCell3D, RADCELL, Coupled simulation, Microbeam radiation therapy, Vascular tumour simulation, QA Mathematics, QA75 Electronic computers. Computer science, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), RM Therapeutics. Pharmacology, DAS, SDG 3 - Good Health and Well-being, QA, QA75, QH301, RC0254, RM
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Relation: Physics in Medicine and Biology; 272291218; ea2fe428-bc00-40b8-b845-9c503f0c7a04; 000616777800001; 85101792905; Liu , R , Higley , K , Swat , M , Chaplain , M A J , Powathil , G & Glazier , J 2021 , ' Development of a coupled simulation toolkit for computational radiation biology based on Geant4 and CompuCell3D ' , Physics in Medicine and Biology , vol. 66 , no. 4 , 045026 . https://doi.org/10.1088/1361-6560/abd4f9; ORCID: /0000-0001-5727-2160/work/86987089; https://hdl.handle.net/10023/24841
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
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: EPSRC, University of St Andrews. Applied Mathematics, University of St Andrews. School of Mathematics and Statistics
Subject Terms: Mathematical oncology, Epithelial-mesenchymal transition, Metastatic spread, Multi-organ model, Tumour microenvironment, Individual-based model, QA Mathematics, QH301 Biology, RC0254 Neoplasms. Tumors. Oncology (including Cancer), T-NDAS, SDG 3 - Good Health and Well-being, QA, QH301, RC0254
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Relation: IMA Journal of Applied Mathematics; Franßen , L C & Chaplain , M A J 2020 , ' A mathematical multi-organ model for bidirectional epithelial-mesenchymal transitions in the metastatic spread of cancer ' , IMA Journal of Applied Mathematics , vol. 85 , no. 5 , pp. 724-761 . https://doi.org/10.1093/imamat/hxaa022; PURE: 269224942; PURE UUID: a7f0f317-25fe-4d9e-989f-0b76aff9f924; ORCID: /0000-0001-5727-2160/work/83481898; Scopus: 85094875664; WOS: 000582720400004; http://hdl.handle.net/10023/23929; https://doi.org/10.1093/imamat/hxaa022; EP/N014642/1