HILLEN, THOMAS JOHANNES
HILLEN, THOMAS JOHANNES
Dipartimento di Matematica (attivo dal 01/01/1900 al 31/12/2011)
028914
Biological modeling with nonlocal advection–diffusion equations
2024 Painter, Kevin J.; Hillen, Thomas; Potts, Jonathan R.
Modelling microtube driven invasion of glioma
2024 Hillen, Thomas; Loy, Nadia; Painter, Kevin J; Thiessen, Ryan
Multiscale phenomena and patterns in biological systems: special issue in honour of Hans Othmer
2020 Hillen, T.; Painter, K. J.; Stolarska, M. A.; Xue, C.
A space-jump derivation for non-local models of cell–cell adhesion and non-local chemotaxis
2018 Buttenschon, A.; Hillen, T.; Gerisch, A.; Painter, K. J.
Global solvability and explicit bounds for non-local adhesion models
2018 Hillen, T.; Painter, K. J.; Winkler, M.
Aggregation of biological particles under radial directional guidance
2017 Bica, I.; Hillen, T.; Painter, K. J.
Navigating the flow: Individual and continuum models for homing in flowing environments
2015 Painter, K. J.; Hillen, T.
Anisotropic diffusion in oriented environments can lead to singularity formation
2013 Hillen, T.; Painter, K. J.; Winkler, M.
Convergence of a cancer invasion model to a logistic chemotaxis model
2013 Hillen, T.; Painter, K. J.; Winkler, M.
Mathematical modelling of glioma growth: The use of Diffusion Tensor Imaging (DTI) data to predict the anisotropic pathways of cancer invasion
2013 Painter, K. J.; Hillen, T.
Merging-emerging systems can describe spatio-temporal patterning in a chemotaxis model
2013 Hillen, T.; Zielinski, J.; Painter, K. J.
Transport and anisotropic diffusion models for movement in oriented habitats
2013 Hillen, T.; Painter, K. J.
Spatio-temporal chaos in a chemotaxis model
2011 Painter, K. J.; Hillen, T.
A user's guide to PDE models for chemotaxis
2009 Hillen, T.; Painter, K. J.
Global existence for chemotaxis with finite sampling radius
2007 Hillen, T.; Painter, K.; Schmeiser, C.
Volume-filling and quorum-sensing in models for chemosensitive movement
2002 Painter, Kevin J; Hillen, Thomas
Global Existence for a Parabolic Chemotaxis Model with Prevention of Overcrowding
2001 Hillen, T.; Painter, K.
Citazione | Data di pubblicazione | Autori | File |
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Biological modeling with nonlocal advection–diffusion equations / Painter, Kevin J.; Hillen, Thomas; Potts, Jonathan R.. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - (2024). [10.1142/S0218202524400025] | 1-gen-2024 | Painter, Kevin J.Hillen, Thomas + | PainterHillenPotts2024.pdf |
Modelling microtube driven invasion of glioma / Hillen, Thomas; Loy, Nadia; Painter, Kevin J; Thiessen, Ryan. - In: JOURNAL OF MATHEMATICAL BIOLOGY. - ISSN 0303-6812. - 88:4(2024), pp. 1-34. [10.1007/s00285-023-02025-0] | 1-gen-2024 | Hillen, ThomasLoy, NadiaPainter, Kevin J + | HillenEtal2024.pdf |
Multiscale phenomena and patterns in biological systems: special issue in honour of Hans Othmer / Hillen, T.; Painter, K. J.; Stolarska, M. A.; Xue, C.. - In: JOURNAL OF MATHEMATICAL BIOLOGY. - ISSN 0303-6812. - 80:1-2(2020), pp. 275-281. [10.1007/s00285-020-01473-2] | 1-gen-2020 | Hillen T.Painter K. J. + | Hillen2020_Article_MultiscalePhenomenaAndPatterns.pdf |
A space-jump derivation for non-local models of cell–cell adhesion and non-local chemotaxis / Buttenschon, A.; Hillen, T.; Gerisch, A.; Painter, K. J.. - In: JOURNAL OF MATHEMATICAL BIOLOGY. - ISSN 0303-6812. - ELETTRONICO. - 76:1-2(2018), pp. 429-456. [10.1007/s00285-017-1144-3] | 1-gen-2018 | Hillen T.Painter K. J. + | 093617.full.pdf |
Global solvability and explicit bounds for non-local adhesion models / Hillen, T.; Painter, K. J.; Winkler, M.. - In: EUROPEAN JOURNAL OF APPLIED MATHEMATICS. - ISSN 0956-7925. - 29:4(2018), pp. 645-684. [10.1017/S0956792517000328] | 1-gen-2018 | Hillen T.Painter K. J. + | HillenetalEJAM2018Accepted.pdf |
Aggregation of biological particles under radial directional guidance / Bica, I.; Hillen, T.; Painter, K. J.. - In: JOURNAL OF THEORETICAL BIOLOGY. - ISSN 0022-5193. - 427:(2017), pp. 77-89. [10.1016/j.jtbi.2017.05.039] | 1-gen-2017 | Hillen T.Painter K. J. + | BicaHillenPainter2017accepted.pdf |
Navigating the flow: Individual and continuum models for homing in flowing environments / Painter, K. J.; Hillen, T.. - In: JOURNAL OF THE ROYAL SOCIETY INTERFACE. - ISSN 1742-5689. - 12:112(2015), p. 20150647. [10.1098/rsif.2015.0647] | 1-gen-2015 | Painter K. J.Hillen T. | PainterHillen2015Preprint.pdf |
Anisotropic diffusion in oriented environments can lead to singularity formation / Hillen, T.; Painter, K. J.; Winkler, M.. - In: EUROPEAN JOURNAL OF APPLIED MATHEMATICS. - ISSN 0956-7925. - 24:3(2013), pp. 371-413. [10.1017/S0956792512000447] | 1-gen-2013 | Hillen T.Painter K. J. + | hpw_anisotropy_14.pdf |
Convergence of a cancer invasion model to a logistic chemotaxis model / Hillen, T.; Painter, K. J.; Winkler, M.. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 23:1(2013), pp. 165-198. [10.1142/S0218202512500480] | 1-gen-2013 | Hillen T.Painter K. J. + | hpw2013.pdf |
Mathematical modelling of glioma growth: The use of Diffusion Tensor Imaging (DTI) data to predict the anisotropic pathways of cancer invasion / Painter, K. J.; Hillen, T.. - In: JOURNAL OF THEORETICAL BIOLOGY. - ISSN 0022-5193. - 323:(2013), pp. 25-39. [10.1016/j.jtbi.2013.01.014] | 1-gen-2013 | Painter K. J.Hillen T. | PainterHillen2013Preprint.pdf |
Merging-emerging systems can describe spatio-temporal patterning in a chemotaxis model / Hillen, T.; Zielinski, J.; Painter, K. J.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - 18:10(2013), pp. 2513-2536. [10.3934/dcdsb.2013.18.2513] | 1-gen-2013 | Hillen T.Painter K. J. + | HillenZielinskiPainter2013Preprint.pdf |
Transport and anisotropic diffusion models for movement in oriented habitats / Hillen, T.; Painter, K. J. (LECTURE NOTES IN MATHEMATICS). - In: Lecture Notes in Mathematics[s.l] : Springer Verlag, 2013. - ISBN 978-3-642-35496-0. - pp. 177-222 [10.1007/978-3-642-35497-7_7] | 1-gen-2013 | Hillen T.Painter K. J. | scalings19.pdf |
Spatio-temporal chaos in a chemotaxis model / Painter, K. J.; Hillen, T.. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - 240:4-5(2011), pp. 363-375. [10.1016/j.physd.2010.09.011] | 1-gen-2011 | Painter K. J.Hillen T. | PainterHillen2011Preprint.pdf |
A user's guide to PDE models for chemotaxis / Hillen, T.; Painter, K. J.. - In: JOURNAL OF MATHEMATICAL BIOLOGY. - ISSN 0303-6812. - 58:1-2(2009), pp. 183-217. [10.1007/s00285-008-0201-3] | 1-gen-2009 | Hillen T.Painter K. J. | HillenPainter2009Preprint.pdf |
Global existence for chemotaxis with finite sampling radius / Hillen, T.; Painter, K.; Schmeiser, C.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - 7:1(2007), pp. 125-144. [10.3934/dcdsb.2007.7.125] | 1-gen-2007 | Hillen T.Painter K. + | radius-final.pdf |
Volume-filling and quorum-sensing in models for chemosensitive movement / Painter, Kevin J; Hillen, Thomas. - In: CANADIAN APPLIED MATHEMATICS QUARTERLY. - ISSN 1073-1849. - 10:(2002), pp. 501-544. | 1-gen-2002 | Painter, Kevin JHillen, Thomas | PainterHillen2002published.pdf |
Global Existence for a Parabolic Chemotaxis Model with Prevention of Overcrowding / Hillen, T.; Painter, K.. - In: ADVANCES IN APPLIED MATHEMATICS. - ISSN 0196-8858. - 26:4(2001), pp. 280-301. [10.1006/aama.2001.0721] | 1-gen-2001 | Hillen T.Painter K. | HillenPainter2001published.pdf |