Books:
| Book |
G. de Vries, T. Hillen, M. Lewis, J. Müller, B. Schönfisch A Course in Mathematical Biology Qualitative Modelling with Mathematical and Computational Methods SIAM, 2006 |
Book-page |
| Book | T.
Hillen,
E.
Leonard, H. van Roessel Partial Differential Equations for Engineers and Scientists; Problem Book I |
in
preparation |
Associate Editor for:
Papers (updated: August, 2011)
 60 |
T.
Hillen, K. Painter, J.C. Chimal Eguia About the Anisotropy of Diffusion Tensors 2011 |
in
preparation |
|
| 60 |
T.
Hillen, K. Painter, M. Winkler A Chemotaxis-Haptotaxis Model with Proliferation: Boundedness and Convergence to a Chemotaxis System. 2011 |
in
preparation |
|
| 59 |
J.
Gong, T. Hillen Modelling of Normal Tissue Complication Probability 2011 |
in
preparation |
|
| 58 |
J.
Gong, T. Hillen Optimization of Nonuniform Cancer Radiatherapy Treatment Schedules and Minimization of Late Effects. 2011 |
in
preparation |
|
| 57 |
T.
Hillen, K. Painter Transport Models for Movement in Oriented Habitats and Anisotropic Diffusion. book chapter, 2011 |
submitted |
|
| 55 |
P. Babak, T. Hillen A Propabilistic Wildland Fire Spread Model 2010 |
in
preparation |
|
| 54 |
J. Gong, M. dos Santos, C. Finlay, T.
Hillen Are More Complicated Tumor Control Probability Models Better? Math. Medicine and Biol. 2011 |
accepted |
Preprint |
| 53 |
T. Hillen, H. Enderling, P. Hahnfeld A Mathematical Model of the Tumor Growth Paradox Within the Cancer Stem Cell Hypothesis 2010 |
in preparation | |
| 52 |
K. Painter, T. Hillen Spatio-Temporal Chaos in a Chemotaxis Model Physica D, 240, 363-375, 2011. |
Preprint |
|
| 51 |
Barber,
J., Bose, C., Bourlioux, A., Braun, J., Brunelle, E., Garcia, T.,
Hillen, T. Ong, B., Burning Issues with PROMETHEUS, the
Canada's
Wildfire Growth Simulator. CAMQ (Canad. Appl. Math Quart) 16(4), 337-378, 2008. |
Preprint | |
| 50 |
Hillen,
T. Existence Theory for Correlated Random Walks on Bounded Domains CAMQ, (Canad. Appl. Math. Quart.) 18(1), 1-40, 2010. |
Preprint | |
| 49 |
Hillen,
T.,
de
Vries,
G.,
Gong,
J.,
Finlay,
C.
From Cell Population Models to Tumour Control Probability: Including Cell Cycle Effects. Acta Oncologica, 49, 1315-1323, 2010. |
Preprint | |
| 48 |
Khassehkan,
H.
Eberl,
H.J.
and Hillen,
T. A Nonlinear Master Equation for a Degenerate Diffusion Model of Biofilm Growth. Lecture Notes Computer Science, Vol 5544, p 735-744, 2009 |
Preprint | |
| 47 |
Lee, J.M.,
Hillen, T. and Lewis, M. Pattern Formation in Prey-Taxis Systems J. Biol. Dynamics, 3(6), 551 – 573, 2009. online: http://dx.doi.org/10.1080/17513750802716112 |
Preprint | |
| 46 |
K.P.
Hadeler, T. Hillen, M.A. Lewis Mathematical Modeling with Quiescent Phases. in "Spatial Ecology", S. Cantrell, C. Cosner, S. Ruan (eds), 2009 |
Preprint | |
| 45 |
Babak,
P. and Bourlioux, A. and Hillen, T. The Effect of Wind on the Propagation of a Forest Fire. SIAM J Appl Math, 70(4), 1364-1388, 2009. |
Preprint | |
| 44 |
Hillen,
T. and Hinow, P. and Wang, Z.A. Mathematical Analysis of a Kinetic Models for Cell Movement in Network Tissues. Discrete and Continuous Dyn. Syst. - B, 14(3), 1055-1080, 2010 |
Preprint | |
| 43 |
O'Rourke, F. and
McAneney, H. and Hillen, T. Linear Quadratic and Tumour Control Probability Modelling in External Beam Radiotherapy. J. Math. Biology, 58, 799-817, 2009. |
Preprint |
|
| 42 |
Lee, J.M., Hillen,
T. and Lewis, M. Continuous Travelling Waves for Prey Taxis Bull. Math. Bio., 70(3) 654-676, 2008. |
Preprint | |
| 41 |
Hillen, T. and
Painter, K. A User's Guide to PDE Models for Chemotaxis. J. Math. Biol., 58(1), 183-217, 2009. electronic: http://dx.doi.org/10.1007/s00285-008-0201-3 |
Preprint | |
| 40
|
Chauviere, A. and Hillen, T. and Preziosi, L. Modeling cell movement in anisotropic and heterogeneous network tissues NHM (Networks and Heterogeneous Media), 2, 333-357, 2007. |
Preprint | |
| 39 |
Chauviere, A. and Hillen, T. and Preziosi, L. Modeling the motion of a cell population in the extracellular matrix DCDS-B (Discrete and Continuous Dynamical Systems, Series B), Special Issue September 2007, pages 250-259. |
|
Preprint |
| 38 |
Lewis, M.A., Lutscher, F., Hillen T. Spatial dynamics in ecology In M.A. Lewis, J. Keener, P. Maini and M. Chaplain (Eds.), Park City Mathematics Institute Volume in Mathematical Biology, (pp 25-45). Insitute for Advanced Study, Princeton. |
Preprint | |
| 37 |
Wang,
Zhi An, Hillen, T. and Li, M. Mesenchymal Motion Models in One Dimension SIAM J. Appl. Math. 69 (2) 375-397, 2008 |
Preprint |
|
| 36 |
Wang, Zhi An, and
Hillen, T. Pattern Formation for a Chemotaxis Model with Volume Filling Effects Chaos, 17(3), 037108 (13 pages), 2007 |
Preprint |
|
| 35 |
Wang, Zhi An and
Hillen,
T. Shock Formation in a Chemotaxis Model Math. Methods in the Appl. Sciences, 31(1), 45-70, 2008 |
Preprint |
|
| 34 |
Liu, W. Hillen, T.
and Freedman, H.I. A Mathematical Model for M-phase Specific Chemotherapy Including the G0-Phase and Immuno-Response Mathematical Biosciences and Eng., 4(2), 239-259, 2007. |
|
Preprint |
| 33 |
de Vries, Gerda and
Hillen, Thomas Teaching Mathematical Biology in a Summer School for Undergraduates in Mathematical Modeling of Biological Systems, Volume II: Epidemiology, Evolution and Ecology, Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods, A. Deutsch, R. Bravo de la Parra, R. de Boer, O. Diekmann, P. Jagers, E. Kisdi, M. Kretzschmar, P. Lansky, and H. Metz, editors, Birkhauser, Boston, 2008, pp. 369-377. |
|
Preprint |
| 32 |
Hillen, Thomas A Classification of Spikes and Plateaus SIAM REVIEWS, 49(1) 35-51, 2007. |
|
Preprint |
| 31 |
Hillen, Thomas M^5, Mesoscopic and Macroscopic Models for Mesenchymal Motion 2006, J. Math. Biol. 53(4), 585-616, 2006. (electroinc: DOI 10.1007/s00285-006-0017-y) The original publication is available a www.springerlink.com |
Preprint |
|
| 30
|
Dawson Andria and
Thomas Hillen, Derivation of the Tumour Control Probability (TCP) from a Cell Cycle Model Comput. and Math. Meth. in Medicine, 2006, 7:121-142. |
Prerprint |
|
| 29 |
Hillen, Thomas and
Painter, Kevin and Schmeiser, Christian Global Existence for Chemotaxis with Finite Sampling Radius Discr. Cont. Dyn. Syst. B (DCDS-B), 7(1) 125-144, (2007). |
Preprint |
|
| 28 |
Hillen, Thomas
and Renclawowicz, Joanna
and Wang, Zhian Analysis of an Attraction-Repulsion Chemotaxis Model 2007, unpublished manuscript. |
unpublished | |
| 27 |
Hadeler, K.P. and Hillen, T. Coupled Dynamics and Quiescent States 2006. In MATH EVERYWHERE. Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Dedicated to the 60th birthday of Vincenzo Capasso. G. Aletti, M. Burger, A. Micheletti, D. Morale Editors, Springer, Heidelberg, 2006. |
Preprint |
|
| 26 |
Hillen, Thomas, Hadeler, K.P. Hyperbolic Systems and Transport Equations in Mathematical Biology p 257-279 in G. Warnecke (ed), Analysis and Numerics for Conservation Laws, Springer, Berlin, Heidelberg, 2005. |
PDF-file |
|
| 25 |
Hillen, Thomas On the L^2-Moment Closure of Transport Equations: The General Case Discr. Cont. Dyn. Systems, Series B, 5(2) 299-318, 2005 |
PDF-file |
|
| 24 |
Hillen, Thomas On the L^2-Moment Closure of Transport Equations: The Cattaneo Approximation Discr. Cont. Dyn. Systems, Series B, 4(4), 961-982, 2004 |
PDF-file |
|
| 23 |
Hillen,
Thomas and Potapov, Alex The One-Dimensional Chemotaxis Model: Global Existence and Asymptotic Profile Math. Meth. Appl. Sci., 27:1783-1801, 2004. |
PDF-file | |
| 22 |
Potapov,
Alex and Hillen, Thomas Metastability in Chemotaxis Models J. Dyn. Diff. Eq. , 17(2), 293-330, 2005.. |
PDF-file | |
| 21 |
Painter,
Kevin and Hillen, Thomas Volume-Filling and Quorum Sensing in Models for Chemosensitive Movement Canadian Applied Mathematics Quarterly, Vol 10(4), 2002, 501-543. |
PDF-file | |
| 20 |
Hadeler,
K.P., Hillen, T., and Lutscher,
Frithjof The Langevin or Klein-Kramers Approach to Biological Modeling. M3AS (Math. Models Methods Appl. Sci.), 14(10), 1561-1583, 2004., |
PFE-file | |
| 19 |
Hillen,
Thomas and Levine, Howard Blow-up in hyperbolic models for chemotaxis. Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP), vol 54(5), 839-868, 2003. |
PDF-file | |
| 18 |
Hillen,
Thomas Transport Equations with Resting Phases. European J. Appl. Math. 14(5), 613-636, 2003. |
PDF-file | |
| 17 |
Hillen,
Thomas Hyperbolic Models for Chemosensitive Movement. Math. Models Methods Appl. Sci., 12(7), 1007-1034, 2002. |
download
PDF-file |
|
| 16 |
Dolak,
Yasmin and Hillen, Thomas Cattaneo Models for Chemotaxis, Numerical Solution and Pattern Formation. J. Math. Biol. 46 (2003) 2, 153-170. |
download
PDF-file |
|
| 15 |
Hillen,
Thomas Transport Equations and Chemosensitive Movement. Habilitation Thesis, University of Tuebingen, 2001. |
download
PDF-file |
|
| 14 |
Othmer,
H.G. and Hillen, Thomas The Diffusion Limit of Transport Equations II: Chemotaxis Equations. SIAM J. Appl. Math, 62(4), 1222-1250, 2002. |
download
PDF-file |
|
| 13 |
Hillen,
Thomas and Painter, Kevin Global Existence far a Parabolic Chemotaxis Model with Prevention of Overcrowding. Advances in Applied Mathematics, 26(4), 280-301, 2001. |
download
PDF-file |
|
| 12 |
Hillen,
Thomas and Rohde, Christian and Lutscher,
Frithjof Existence of weak solutions for a hyperbolic model of chemosensitive movement . J. Math. Anal. Appl., 260, 173-1999, 2001. |
download
PDF-file |
|
| 11 |
Hillen,
Thomas and Othmer, H.G. The Diffusion Limit of Transport Equations Derived From Velocity Jump Processes. SIAM J. Appl. Math., 61, 751-775, 2000. |
download PDF-file |
|
| 10 |
Hillen,
Thomas and Stevens, Angela Hyperbolic models for Chemotaxis in 1-D. Nonlinear Analysis: Real World Applications 1(3), 409-433, 2000. |
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| 9 |
Hillen,
Thomas Orthogonal closure procedure for the first two moments of reaction transport equations. SFB 382, Report Nr.: 124, 1999. |
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| 8 |
Hillen,
Thomas Qualitative Analysis of semilinear Cattaneo systems. Math. Models and Methods in Appl. Sci., Vol. 8, No. 3, 507-519, 1998. |
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| 7 |
Müller,
Johannes and Hillen, Thomas Modulation equations and the parabolic limits of reaction random walk systems. Math. Methods Appl. Sci., 21, 1207-1226, 1998. |
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| 6 |
Hillen,
Thomas Invariance Principles for Hyperbolic Random Walk Systems. J. Math. Analysis Appl., 210, 360-374, 1997. |
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| 5 |
Hillen,
Thomas Qualitative Analysis of hyperbolic Random Walk Systems. SFB 382, Report No. 43, April 1996. |
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| 4 |
HIllen,
Thomas Nonlinear Hyperbolic Systems Describing Random Motion and their Application on the Turing Model. Dissertation Summaries in Math., Vol 1, 121-128, 1996 |
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| 3 |
Hillen,
Thomas A Turing model with correlated random walk. J. of Math. Biology, Vol 35, 49-72, 1996 |
download PDF-file |
|
| 2 |
Hillen,
Thomas Nichtlineare hyperbolische Systeme zur Modellierung von Ausbreitungsvorgängen und Anwendung auf das Turing Modell. Dissertation, Fakultät für Mathematik, Universität Tübingen, 1995. |
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| 1 |
Hadeler,
K.P. and Hillen, Thomas Differential Equations on Branched Manifolds. in: Evolution Equations, Control Theory and Biomathematics, P. Clement and G. Lumer (eds), Han-sur-Lesse, 241-258, Marcel Dekker, 1994. |
6. |
T. Hillen, F. Lutscher, J. Müller (2006) Preface. Dedicated to K.P. Hadeler's 70 birthday J. Math. Biol. 53 (4): 491-495 |
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5. |
Hillen, Thomas Review on: Suzuki, T. Free Energy and Self-Interacting Particles Bulletin Math. Bio., 2006. |
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4. |
Hillen, Thomas Review on: Taubes, C. Modeling Differential Equations in Biology Mathematical Intelligencer, 27(1) 2005. |
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| 3. |
Hillen, Thomas Mathematical Biology: An Evolving Discipline and Career Over 15 years Science, Next Wave, Internet publication, March 2004: http://nextwave.sciencemag.org/cgi/content/full/2004/02/18/3 |
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| 2. |
Hillen,
Thomas Applications and Limitations of the Verhulst-Model for Populations. PI in the Sky, 2003. |
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| 1. |
Hillen, Thomas
Be "Careful with that Axe, Eugene". PI in the Sky, 2003. |
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