 113 |
V. Giunta, T. Hillen, MA. Lewis, J. Potts.
Numerical Exploration of the non-local multi-species
aggregation Model in 2-D. 2024
|
in preparation
|
|
| 112 |
R. Thiessen, T. Hillen. Travelling Wave
Solutions to a Microtube-Driven Glioma Invasion Model.
2024
|
in preparation
|
|
111 |
A. Shyntar, T. Hillen.
Mathematical Modelling of Microtube-driven regrowth of
glioma after local resection.
Math Biosciences and Engineering, 22(1) 52-72 2025.
doi: 10.3934/mbe.2025003
|
|
open access
|
| 110 |
M. Conte, T. Hillen, T. Stepien, R.
Thiessen.
Go-or-Grow Models in Biology, A Review. 2024
|
submitted
|
|
| 109 |
AA. Baabdulla, F. Cristi, M. Shmulevitz, T.
Hillen,
Mathematical Modelling of Reoviruses in Cancer Cell
Cultures, Plos One, 2025
|
accepted
|
bioRxiv
|
| 108 |
T. Hillen, M.R. D'Orsogna, JC. Mantooth,
A.E. Lindsay,
Mean First Passage Times for Transport Equations.
SIAM J. Appl. Math., 85 1) 2025. 10.1137/24M16476672023 |
|
open access
|
| 107 |
A. Shyntar, Y. Kuzay, E. Troost, T.
Hillen,
Mathematical Modelling of Gross Tumor Volume Data for
Non-Small Cell Lung Cancer following Radiation Treatments,
2023
|
in preparation
|
|
| 106 |
A. Baabdulla, T. Hillen,
Oscillations in a Spatial Oncolytic Virus Model.
Bulletin of Mathematical Biology, 2024, 86(8).
doi:10.1007/s11538-024-01322-z
|
|
open
access
|
| 105 |
V. Giunta, T. Hillen, MA. Lewis, J.
Potts
Positivity and global existence for non-local
advection-diffusion models of interactig populations.
2024.
|
submitted
|
arXiv
|
| 104 |
G. Carrero, T. Hillen, A. Wong,
How the Tulip Breaking Virus Creates Striped Tulips.
Communications Biology, 8, 129, 2025.
|
|
open access
|
| 103 |
K.J. Painter, J.R. Potts, T. Hillen.
Biological Modelling with Nonlocal Advection Diffusion
Equations. Math Models and Methods in Applied
Sciences (M3AS), 2023.
doi.org/10.1142/S0218202524400025
|
|
open
access
|
| 102 |
V. Giunta, T. Hillen, MA. Lewis, JR.
Potts,
Weakly nonlinear analysis of a two-species non-local
advection-diffusion system Nonlinear Analysis: Real
World Applications, 2024, 78, 104086. |
|
open
access
|
| 101 |
T. Hillen, A Shyntar
Modelling of Cancer Stem Cell Driven Solid Tumors.
In Problems in Mathematical Biophysics - a volume in
memory of Alberto Gandolfi, Springer, book chapter, 2023. |
|
preprint
|
| 100 |
T. Hillen, N. Loy, K.J. Painter, R.
Thiessen,
Modelling Microtube Driven Invasion of Glioma,
Journal of Mathematical Biology, 88(4) , 2024.
|
|
open
access |
| 99 |
K. Deutscher, T. Hillen,
J. Newby
A Computational Model for the Cancer Field Effect.
Frontiers in Artificial Intelligence 6, 2023.
DOI=10.3389/frai.2023.1060879
|
|
open
access
|
98
|
T. Hillen
A Classification of Musical Scales Using Binary
Sequences
Journal of Humanistic Mathematics, 13(1), 118-130, 2023.
|
Archive
https://doi.org/10.7939/r3-zcte-ct11
|
open
access
|
| 97 |
V. Giunta, T. Hillen,
M.A. Lewis, J. Potts,
Detecting minimum energy states and multi-stability in
nonlocal advection-diffusion models for interacting
species, Journal of Math. Biol., 85:(56) 1-44,
https://link.springer.com/article/10.1007/s00285-022-01824-1
|
|
open
access
|
| 96 |
A. Shyntar, A. Patel, M. Rhodes, H.
Enderling, T. Hillen
The Tumor Invasion
Paradox in Cancer Stem Cell-Driven Solid Tumors, Bulletin
of Math. Biol. 84(12) 139-163, 2022.
https://link.springer.com/article/10.1007/s11538-022-01086-4
|
|
open
access
|
| 95 |
M. Rhodes, T. Hillen, V. Putkaradze
Comparing the effects of
linear and one-term Ogden elasticity in a model of
glioblastoma invasion, Brain Multiphysics,
3:100050, 2022.
https://www.sciencedirect.com/science/article/pii/S2666522022000077
|
|
open
access
|
| 94 |
V. Giunta, T. Hillen, M.A. Lewis, J.R.
Potts
Local and Global Existence for Nonlocal Multispecies
Advection-Diffusion Models, SIAM Applied Dynamical
Systems, 21(3):1686-1708, 2022.
|
|
open access
arXiv |
| 93 |
R. Thiessen, T. Hillen
Anisotropic Network Patterns in Kinetic and Diffusive
Chemotaxis Models, MDPI Mathematics, 9(13), 1-22,
202.
open access: doi 10.3390/math9131561
|
|
online
access |
| 92 |
C. Contreras, J. Newby, T. Hillen
Personalized Virus-Load Curves of SARS-CoV-2 Infection,
Viruses 13(9), 1815, 2021.
|
|
online
access
|
| 91 |
A. Baabdulla, H. Now, JA Park, WJ.
Kim, S. Jung, JY. Yoo, T. Hillen
Homogenization of a Reaction-Diffusion Equation can
Explain Influenza A Virus Load Data, Journal of
Theoretical Biology, 527(21) 1-10, 2020. doi:
10.1016/j.jtbi.2021.110816 |
|
paper
|
| 90 |
N. Loy, T. Hillen, KJ. Painter,
Direction-Dependent Turning Leads to Anisotropic
Diffusion and Persistence. European Journal
of Applied Mathematics, 2021.
doi: 10.1017/S0956792521000206
|
|
paper
|
89
|
F. Lutscher, T. Hillen
Correlated Random Walks in Heterogeneous Landscapes:
Derivation, Homogenization, and Invasion Fronts.
AIMS Mathematics, 6(8), 8920-8948, 2021
DOI:10.3934/math.2021518
|
|
online
access
|
88
|
M. Getz, Y. Wang,
G. An, M. Asthana,
A. Becker, C. Cockrell,
N. Collier, M. Craig,
C.L. Davis,
R. Faeder,
A.N. Ford Versypt,
T. Mapder,
J.F. Gianlupi,
J.A. Glazier,
S. Hamis, R. Heiland,
T. Hillen, D. Hou,
M.A. Islam, A.L. Jenner,
F. Kurtoglu, C.
I. Larkin, B. Liu,
F. Macfarlane, P.
Maygrundter, P.A. Morel,
A. Narayanan,
J. Ozik, E. Pienaar,
P. Rangamani, A.S. Saglam,
J. E. Shoemaker,
A.M. Smith,
J.J.A. Weaver, P. Macklin
Iterative
community-driven development of a SARS-CoV-2 tissue
simulator
bioRxiv 2020.04.02.019075v4, 2021 |
Preprint
|
bioRxiv
|
87
|
T. Hillen
A Standard Virus-Load Function,
preprint, 2020.
|
Preprint
|
medRxiv
|
| 86 |
A. Rhodes, T.
Hillen.
Implications of immune-mediated metastatic growth on
metastatic dormancy, blow-up, early detection, and
treatment.
J. Math. Biol., 81: 799-843, 2020. doi:
10.1007/s00285-020-01521-x
|
|
paper
|
| 85 |
A. Rhodes, T. Hillen
A Mathematical Model
for the Immune-Mediated Theory of Metastasis.
J. Theoretical Biology, Vol 482, https://doi.org/10.1016/j.jtbi.2019.109999
2019
|
Journal
link
|
bioarXiv
10.1101/565531v1
|
| 84 |
T. Hillen, M.A. Lewis
Dynamical Systems in Biology - A Short Introduction.
In "Biological Dynamics" A. Bianchi, T. Hillen, M.A.
Lewis, Y. Yi, Springer 2018.
|
|
|
| 83 |
K. Painer, T. Hillen
From Random Walks to Fully
Anisotropic Diffusion Models for Cell and Animal
Movement.
In "Cell Movement: Modelling and Applications" M.
Stolarska, N. Tarfulea (eds) 2018 (book chapter).
|
|
|
| 82 |
C. Frei, T. Hillen, A. Rhodes
A Stochastic Model for
Cancer Metastasis: Branching Stochastic Processes with
Settlement. Math. Medicine and Biology, 37(2)
153-182, 2020.
|
Journal
link
|
bioarXiv
10.1101/294157
|
| 81 |
A. Buttenschoen, T. Hillen
Nonlocal
Adhesion Models for Microorganisms on Bounded Domains. SIAM J. Appl. Math, 80 (1),
382-401, 2020
|
Journal
link
|
arXiv
1903.06635
|
80
|
O. Olobatuyi, G. de Vries, T. HIllen
Effects of G2 checkpoint
dynamics on the low dose hyper-radiosensitivity and
increased radioresistance.
J. Math. Biol.
(Hadeler issue), 77:(6�7),
1969�1997,
2018. |
|
bioarxiv
10.1101/185371
|
| 79 |
A. Buttenschoen, T. Hillen, A. Gerisch, K.J.
Painter
A space-jump
derivation for non-local models of cell-cell adhesion
and non-local chemotaxis.
J. Math. Biol., 76,
(1�2),
429�456, 2018.
|
|
biorxiv
093617
Springer
link
|
| 78 |
O. Olobatuyi, G. de Vries, T. Hillen
A Reaction-Diffusion
Model for Radiation-Induced Bystander Effects
J. Math. Biol., 75, (2),
341�372,
2017.
|
|
biorxiv
094375
Springer
link
|
| 77 |
A. Swan, T. Hillen, J. Bowman, A. Murtha
A Patient-Specific
Anisotropic Diffusion Model for Brain Tumour Spread
Bulletin Math. Biol. 80, (5),
1259�1291, 2017.
|
|
pdf-file
|
| 76 |
T. Hillen, K.J. Painter, A. Swan, A. Murtha
Moments of von Mises and
Fisher Distributions and Applications
Math. Biosciences and Engineering, 14(3), 673-694,
2017.
|
|
pdf-file
|
| 75 |
J. Martin, T. Hillen
The Spotting Distribution
of Wildfires.
Applied Sciences, 6(6) 177-211, 2016.
doi:10.3390/app6060177
|
|
weblink
|
| 74 |
A. Rhodes, T. Hillen
Mathematical
Modeling of the Role of Survivin on Dedifferentiation
and Radioresistance in Cancer.
Bulletin Math. Biol., 78(6), 1162-1188, 2016.
|
|
Preprint
|
| 73 |
A.
Konstorum, J. Lowengrub, T. Hillen
Feedback regulation in a cancer cell model can cause an
Allee effect.
Bulletin Math. Biology, 78(4), 754-785, 2016.
DOI 10.1007/s11538-016-0161-5
|
|
Preprint
|
| 72 |
K.J.
Painter, T. Hillen
Navigating the flow, individual and continuum models
for homing behavior in flowing environments.
Royal Society Interface, 12: 20150647, 2015
|
|
Preprint
biorxiv 029389
|
71
|
I. Bica, T.
Hillen, K.J. Painter
Aggregation of biological particles under radial
directional guidance.
J. Theor. Biol. 427:77-89, 2017.
|
|
Preprint
biorxiv 096602
|
70
|
J.R. Potts,
T. Hillen, M.A. Lewis
Edge effects and the spatio-temporal scale of animal
movement decisions.
Theoretical Ecology, 9920 233-247, 2015, free
online.
|
|
weblink
|
| 69 |
T. Hillen,
A. Swan
The diffusion limit of transport equations in
biology
book chapter, CIME lectures, Springer
|
|
pdf-file
|
| 68 |
M. Winkler,
T. Hillen, K.J. Painter
Global solvability and explicit bounds for
a non-local adhesion model.
European J. Appl. Math., 2017, online first
|
|
Preprint
|
| 67 |
T. Stocks,
T. Hillen, J. Gong, M. Burger
A stochastic model for the normal
tissue complication probability (NTCP) in radiation
treatment of cancer.
Math. Med. and Biol. 2016, 1-24, doi:
10.1093/imammb/dqw013
|
|
arXiv: 1412.3441
Preprint
|
| 66 |
I. Borsi,
A. Fasano, M. Primicerio, T. Hillen
Mathematical properties of a non-local integro-PDE
model for cancer stem cells. Mathematical
Medicine and Biology, 2015,
doi:10.1093/imammb/dqv037
|
|
biorxiv 019604
|
| 65 |
T. Hillen,
D. White, A. Dawes, G. de Vries
Existence and uniqueness for a coupled PDE model
for motor induced microtubule organization. J.
Biol. Dynamics, 2017, DOI 10.1080/17513758.2017.1310939
|
|
Preprint
|
| 64 |
T. Hillen,
B. Greese, J. Martin, G. de Vries
Birth-jump processes and Application to Forest Fire
Spotting.
Journal of Biological Dynamics 9, 104-127, 2015.
|
|
pdf-file
|
| 63 |
C.
Engwer, T. Hillen, M.P. Knappitsch, C. Surulescu
A DTI-Based multiscale model for glioma growth
including cell-ECM interactions.
J. Math. Biol. 71(3), 551--582, 2015.
|
|
pdf-file
|
62
|
T.
Hillen, J. Zielinski, K.J. Painter
Merging-emerging systems can describe spatio-temporal
patterning in a chemotaxis model
Discrete and Continuous Dynamical Systems - B
(DCDS-B), 18 (10), 2013 Pages 2513-2536.
|
|
Preprint
(big file, 15 MB)
|
| 61 |
Jeff
W.N.
Bachman, T. Hillen
Mathematical optimization of the combination of
radiation and differentiation therapies for cancer
Frontiers in Molecular and Cellular Oncology (Front.
Oncol.) 2013,
doi: 10.3389/fonc.2013.00052 free online at:
http://www.frontiersin.org/Journal/Abstract.aspx?s=1228&name=molecular_and_cellular_oncology&ART_DOI=10.3389/fonc.2013.00052
|
|
Preprint
|
60
|
K.J. Painter, T. Hillen
Mathematical modelling of
glioma growth: the use of Diffusion Tensor Imaging
(DTI) data to predict the anisotropic pathways of
cancer invasion.
J. Theoretical Biol., 323, 25-39, 2013.
|
|
Preprint
|
| 59 |
M.
Delitala, T. Hillen
The Language of Systems Biology: bridging the scales.
book chapter in: J.A. Marsan and M. Delitala et al.
"Managing complexity, reducing perplexity. Modeling
biological systems", Springer 2013.pages 131-132.
|
|
Preprint
|
| 58 |
T. Hillen, M.A. Lewis,
Mathematical Ecology of
Cancer
book chapter in: J.A. Marsan and M. Delitala et al.
"Managing complexity, reducing perplexity. Modeling
biological systems", Springer 2013, pages 1-14. |
|
Preprint
|
| 57 |
T. Hillen, H. Enderling, P.
Hahnfeld
The Tumor Growth Paradox
and Immune System-Mediated Selection for Cancer Stem
Cells
Bulletin for Math Biology, 75(1), 161-184, 2013. |
|
Preprint
|
| 56 |
T. Hillen, K.J. Painter, M. Winkler
Anisotropic Diffusion in
Oriented Environments can lead to Singularity Formation
European J. Applied Math., 2012. First View online:
DOI:http://dx.doi.org/10.1017/S0956792512000447
|
|
Preprint
|
| 55 |
T.
Hillen, K.J. Painter, M. Winkler
Convergence of a cancer
invasion model to a logistic chemotaxis model.
Math. Models and Methods in Applied Sci. (M3AS),
23(1), 165-198, 2013.
|
|
Preprint
|
| 54 |
T.
Hillen, K. Painter
Transport Models for
Movement in Oriented Habitats and Anisotropic Diffusion.
In: Dispersal, individual movement and spatial
ecology: A mathematical perspective. Eds: M.A. Lewis, P.
Maini, S. Petrovskii, Heidelberg, Springer, 2012, 46
pages.
|
|
Preprint
|
| 53 |
J.
Gong, M. dos Santos, C. Finlay, T. Hillen
Are
More Complicated Tumor Control Probability Models
Better?
Math. Medicine and
Biol. 2011, 30(1):1-19.
online October
17,
2011 doi:10.1093/imammb/dqr023
|
|
Preprint |
| 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
(published in 2010).
|
|
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 |
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 |
| 47 |
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 |
| 46 |
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 |
| 45 |
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 |
| 44 |
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 |
| 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. |
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| 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.,
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| 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. |
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| 18 |
Hillen,
Thomas
Transport Equations with Resting Phases.
European J. Appl. Math. 14(5), 613-636, 2003. |
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| 17 |
Hillen,
Thomas
Hyperbolic Models for Chemosensitive Movement.
Math. Models Methods Appl. Sci., 12(7), 1007-1034,
2002. |
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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. |
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PDF-file |
| 15 |
Hillen,
Thomas
Transport Equations and Chemosensitive Movement.
Habilitation Thesis, University of Tuebingen, 2001. |
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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. |
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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. |
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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. |
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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. |
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| 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 |
M�ller,
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 |
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PDF-file |
| 2 |
Hillen,
Thomas
Nichtlineare hyperbolische Systeme zur Modellierung
von Ausbreitungsvorg�ngen und Anwendung auf das
Turing Modell.
Dissertation, Fakult�t f�r Mathematik, Universit�t
T�bingen, 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. |
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