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Author ID: hillen.thomas Recent zbMATH articles by "Hillen, Thomas"
Published as: Hillen, Thomas; Hillen, T.
all top 5

Co-Authors

12 single-authored
15 Painter, Kevin J.
9 Lewis, Mark Alun
5 de Vries, Gerda
5 Hadeler, Karl-Peter
4 Lutscher, Frithjof
4 Rhodes, Adam
4 Wang, Zhian
4 Winkler, Michael
3 Buttenschön, Andreas
3 Othmer, Hans G.
3 Preziosi, Luigi
3 Swan, Amanda C.
2 Bourlioux, Anne
2 Chauvière, Arnaud
2 Dolak, Yasmin
2 Enderling, Heiko
2 Giunta, Valeria
2 Gong, Jiafen
2 Müller, Johannes
2 Murtha, Albert D.
2 Olobatuyi, Oluwole
2 Potts, Jonathan R.
2 Surulescu, Christina
1 Baabdulla, Arwa Abdulla
1 Babak, Petro Panasovych
1 Bianchi, Arianna
1 Bica, Ion
1 Borsi, Iacopo
1 Bose, Christopher J.
1 Bowman, John C.
1 Burger, Martin
1 Chaplain, Mark A. J.
1 Ciarletta, Pasquale
1 Dawes, Adriana T.
1 Dawson, Anthony
1 Deutsch, Andreas
1 Diekmann, Odo
1 Dietz, Klaus
1 Dos Santos, Mairon M.
1 Engwer, Christian
1 Fasano, Antonio
1 Finlay, Chris
1 Freedman, Herbert Irving
1 Frei, Christoph
1 Gerisch, Alf
1 Greese, B.
1 Hahnfeldt, Philip J.
1 Hinow, Peter
1 Jung, Sungjune
1 Kim, Woo-Jong
1 Knappitsch, Markus
1 Konstorum, Anna
1 Leonard, I. Edward
1 Levine, Howard Allen
1 Liu, Wenxiang
1 Lowengrub, John Samuel
1 McAneney, H.
1 Now, Hesung
1 O’Rourke, S. F. C.
1 Park, Ju An
1 Patel, Ashna
1 Potapov, Alex
1 Potapov, Alexei B.
1 Primicerio, Mario
1 Pugliese, Andrea
1 Rhodes, Meghan
1 Rohde, Christian
1 Schmeiser, Christian
1 Schönfisch, Birgitt H.
1 Shyntar, Alexandra
1 Stocks, Theresa
1 Stolarska, Magdalena A.
1 Thieme, Horst R.
1 Trucu, Dumitru
1 van Roessel, Henry J.
1 White, Diana
1 Xue, Chuan
1 Yi, Yingfei
1 Yoo, Joo-Yeon
1 Zielinski, Jeffery

Publications by Year

Citations contained in zbMATH Open

72 Publications have been cited 2,766 times in 1,615 Documents Cited by Year
A user’s guide to PDE models for chemotaxis. Zbl 1161.92003
Hillen, T.; Painter, K. J.
750
2009
Volume-filling and quorum-sensing in models for chemosensitive movement. Zbl 1057.92013
Painter, Kevin J.; Hillen, Thomas
307
2002
The diffusion limit of transport equations. II: Chemotaxis equations. Zbl 1103.35098
Othmer, Hans G.; Hillen, Thomas
157
2002
Global existence for a parabolic chemotaxis model with prevention of overcrowding. Zbl 0998.92006
Hillen, T.; Painter, K.
154
2001
The diffusion limit of transport equations derived from velocity-jump processes. Zbl 1002.35120
Hillen, Thomas; Othmer, Hans G.
145
2000
Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026
Painter, Kevin J.; Hillen, Thomas
106
2011
Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204
Hillen, Thomas; Painter, Kevin J.; Winkler, Michael
75
2013
Pattern formation in prey-taxis systems. Zbl 1315.92064
Lee, J. M.; Hillen, T.; Lewis, M. A.
73
2009
Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383
Wang, Zhian; Hillen, Thomas
63
2007
\(M^5\) mesoscopic and macroscopic models for mesenchymal motion. Zbl 1112.92003
Hillen, Thomas
59
2006
Hyperbolic models for chemosensitive movement. Zbl 1163.35491
Hillen, Thomas
48
2002
The one-dimensional chemotaxis model: global existence and asymptotic profile. Zbl 1081.92005
Hillen, Thomas; Potapov, Alex
47
2004
Shock formation in a chemotaxis model. Zbl 1147.35057
Wang, Zhian; Hillen, Thomas
45
2008
Mathematical modelling of glioma growth: the use of diffusion tensor imaging (DTI) data to predict the anisotropic pathways of cancer invasion. Zbl 1314.92083
Painter, K. J.; Hillen, T.
42
2013
Global existence for chemotaxis with finite sampling radius. Zbl 1116.92011
Hillen, T.; Painter, K.; Schmeiser, C.
42
2007
Glioma follow white matter tracts: a multiscale DTI-based model. Zbl 1343.92072
Engwer, Christian; Hillen, Thomas; Knappitsch, Markus; Surulescu, Christina
36
2015
Metastability in chemotaxis models. Zbl 1170.35460
Potapov, A. B.; Hillen, T.
34
2005
Hyperbolic models for chemotaxis in 1-D. Zbl 0981.92003
Hillen, T.; Stevens, A.
33
2000
Transport and anisotropic diffusion models for movement in oriented habitats. Zbl 1347.92065
Hillen, Thomas; Painter, Kevin J.
31
2013
Modeling cell movement in anisotropic and heterogeneous network tissues. Zbl 1115.92009
Chauviere, A.; Hillen, T.; Preziosi, L.
31
2007
A Turing model with correlated random walk. Zbl 0863.92001
Hillen, Thomas
29
1996
Continuous traveling waves for prey-taxis. Zbl 1142.92043
Lee, J. M.; Hillen, T.; Lewis, M. A.
29
2008
The tumor growth paradox and immune system-mediated selection for cancer stem cells. Zbl 1272.92026
Hillen, Thomas; Enderling, Heiko; Hahnfeldt, Philip
24
2013
Transport equations with resting phases. Zbl 1050.92052
Hillen, T.
23
2003
A space-jump derivation for non-local models of cell-cell adhesion and non-local chemotaxis. Zbl 1392.92012
Buttenschön, Andreas; Hillen, Thomas; Gerisch, Alf; Painter, Kevin J.
22
2018
Cattaneo models for chemosensitive movement. Zbl 1020.92004
Dolak, Y.; Hillen, T.
18
2003
A course in mathematical biology. Quantitative modeling with mathematical and computational methods. Zbl 1105.92002
de Vries, Gerda; Hillen, Thomas; Lewis, Mark; Müller, Johannes; Schönfisch, Birgitt
18
2006
Existence of weak solutions for a hyperbolic model of chemosensitive movement. Zbl 0984.35043
Hillen, Thomas; Rohde, Christian; Lutscher, Frithjof
16
2001
The Langevin or Kramers approach to biological modeling. Zbl 1057.92012
Hadeler, Karl P.; Hillen, Thomas; Lutscher, Frithjof
16
2004
Mathematical analysis of a kinetic model for cell movement in network tissues. Zbl 1205.35165
Hillen, Thomas; Hinow, Peter; Wang, Zhi-An
15
2010
Erratum: Cattaneo models for chemosensitive movement. Numerical solution and pattern formation. Zbl 1062.92501
Dolak, Y.; Hillen, T.
14
2003
Existence theory for correlated random walks on bounded domains. Zbl 1201.35127
Hillen, T.
14
2010
Hyperbolic systems and transport equations in mathematical biology. Zbl 1087.92002
Hillen, T.; Hadeler, K. P.
13
2005
Qualitative analysis of semilinear Cattaneo equations. Zbl 0911.35023
Hillen, T.
13
1998
Anisotropic diffusion in oriented environments can lead to singularity formation. Zbl 1273.35165
Hillen, Thomas; Painter, Kevin J.; Winkler, Michael
11
2013
On the \(L^2\)-moment closure of transport equations: The Cattaneo approximation. Zbl 1052.92006
Hillen, T.
11
2004
Invariance principles for hyperbolic random walk systems. Zbl 0880.60030
Hillen, Thomas
11
1997
A patient-specific anisotropic diffusion model for brain tumour spread. Zbl 1394.92064
Swan, Amanda; Hillen, Thomas; Bowman, John C.; Murtha, Albert D.
11
2018
On the \(L^2\)-moment closure of transport equations: the general case. Zbl 1077.92004
Hillen, T.
10
2005
Derivation of the tumour control probability (TCP) from a cell cycle model. Zbl 1111.92029
Dawson, A.; Hillen, T.
10
2006
A mathematical model for \(M\)-phase specific chemotherapy including the \(G_0\)-phase and immunoresponse. Zbl 1123.92014
Liu, Wenxiang; Hillen, Thomas; Freedman, H. I.
9
2007
Coupled dynamics and quiescent phases. Zbl 1127.37025
Hadeler, Karl P.; Hillen, Thomas
9
2007
Feedback regulation in a cancer stem cell model can cause an Allee effect. Zbl 1341.92029
Konstorum, Anna; Hillen, Thomas; Lowengrub, John
9
2016
Linear quadratic and tumour control probability modelling in external beam radiotherapy. Zbl 1311.92105
O’Rourke, S. F. C.; McAneney, H.; Hillen, T.
9
2009
A non-local model for cancer stem cells and the tumour growth paradox. Zbl 1400.92244
Borsi, I.; Fasano, A.; Primicerio, M.; Hillen, T.
9
2017
Biological modeling with quiescent phases. Zbl 1179.92001
Hadeler, Karl P.; Hillen, Thomas; Lewis, Mark A.
9
2010
Are more complicated tumour control probability models better? Zbl 1318.92029
Gong, Jiafen; Dos Santos, Mairon M.; Finlay, Chris; Hillen, Thomas
8
2013
Nonlocal adhesion models for microorganisms on bounded domains. Zbl 1433.92012
Hillen, Thomas; Buttenschön, Andreas
7
2020
A classification of spikes and plateaus. Zbl 1160.35033
Hillen, Thomas
7
2007
The effect of wind on the propagation of an idealized forest fire. Zbl 1194.92070
Babak, Petro; Bourlioux, Anne; Hillen, Thomas
6
2009
Global solvability and explicit bounds for non-local adhesion models. Zbl 1406.35430
Hillen, T.; Painter, K. J.; Winkler, M.
6
2018
Modeling the motion of a cell population in the extracellular matrix. Zbl 1163.92313
Chauviere, A.; Preziosi, L.; Hillen, T.
6
2007
Spatial dynamics in ecology. Zbl 1352.92179
Lewis, Mark A.; Hillen, Thomas; Lutscher, Frithjof
6
2009
Moments of von Mises and Fisher distributions and applications. Zbl 1358.35204
Hillen, Thomas; Painter, Kevin J.; Swan, Amanda C.; Murtha, Albert D.
6
2017
Blow-up and pattern formation in hyperbolic models for chemotaxis in 1-D. Zbl 1030.92005
Hillen, T.; Levine, H. A.
5
2003
Partial differential equations. Theory and completely solved problems. Zbl 1280.35001
Hillen, Thomas; Leonard, I. Ed; van Roessel, Henry
5
2012
A reaction-diffusion model for radiation-induced bystander effects. Zbl 1377.92026
Olobatuyi, Oluwole; de Vries, Gerda; Hillen, Thomas
5
2017
The diffusion limit of transport equations in biology. Zbl 1353.92077
Hillen, Thomas; Swan, Amanda
5
2016
Modulation equations and parabolic limits of reaction random-walk systems. Zbl 0909.35015
Müller, Johannes; Hillen, Thomas
4
1998
Merging-emerging systems can describe spatio-temporal patterning in a chemotaxis model. Zbl 1301.92005
Hillen, Thomas; Zielinski, Jeffery; Painter, Kevin J.
4
2013
Mathematical modeling of the role of survivin on dedifferentiation and radioresistance in cancer. Zbl 1348.92086
Rhodes, Adam; Hillen, Thomas
4
2016
Nonlinear hyperbolic systems for modeling propagations and application to the Turing model. (Nichtlineare hyperbolische Systeme zur Modellierung von Ausbreitungsvorgängen und Anwendung auf das Turing Modell.) Zbl 0878.35071
Hillen, Thomas
4
1995
Mesenchymal motion models in one dimension. Zbl 1183.35196
Wang, Zhi-An; Hillen, Thomas; Li, Michael
4
2008
Non-local cell adhesion models. Symmetries and bifurcations in 1-D. Zbl 1473.92001
Buttenschön, Andreas; Hillen, Thomas
3
2021
Implications of immune-mediated metastatic growth on metastatic dormancy, blow-up, early detection, and treatment. Zbl 1451.92106
Rhodes, Adam; Hillen, Thomas
2
2020
A mathematical model for the immune-mediated theory of metastasis. Zbl 1422.92031
Rhodes, Adam; Hillen, Thomas
2
2019
Birth-jump processes and application to forest fire spotting. Zbl 1448.92374
Hillen, T.; Greese, B.; Martin, J.; de Vries, G.
2
2015
Differential equations on branched manifolds. Zbl 0797.58071
Hadeler, K. P.; Hillen, Thomas
1
1993
Homogenization of a reaction diffusion equation can explain influenza a virus load data. Zbl 1470.92280
Baabdulla, Arwa Abdulla; Now, Hesung; Park, Ju An; Kim, Woo-Jong; Jung, Sungjune; Yoo, Joo-Yeon; Hillen, Thomas
1
2021
Burning issues with Prometheus – the Canadian wildland fire growth simulation model. Zbl 1201.80069
Barber, J.; Bose, C.; Bourlioux, A.; Braun, J.; Brunelle, E.; Garcia, T.; Hillen, T.; Ong, B.
1
2008
Effects of G2-checkpoint dynamics on low-dose hyper-radiosensitivity. Zbl 1404.92101
Olobatuyi, Oluwole; de Vries, Gerda; Hillen, Thomas
1
2018
Local and global existence for nonlocal multispecies advection-diffusion models. Zbl 1494.35002
Giunta, Valeria; Hillen, Thomas; Lewis, Mark; Potts, Jonathan R.
1
2022
Local and global existence for nonlocal multispecies advection-diffusion models. Zbl 1494.35002
Giunta, Valeria; Hillen, Thomas; Lewis, Mark; Potts, Jonathan R.
1
2022
Non-local cell adhesion models. Symmetries and bifurcations in 1-D. Zbl 1473.92001
Buttenschön, Andreas; Hillen, Thomas
3
2021
Homogenization of a reaction diffusion equation can explain influenza a virus load data. Zbl 1470.92280
Baabdulla, Arwa Abdulla; Now, Hesung; Park, Ju An; Kim, Woo-Jong; Jung, Sungjune; Yoo, Joo-Yeon; Hillen, Thomas
1
2021
Nonlocal adhesion models for microorganisms on bounded domains. Zbl 1433.92012
Hillen, Thomas; Buttenschön, Andreas
7
2020
Implications of immune-mediated metastatic growth on metastatic dormancy, blow-up, early detection, and treatment. Zbl 1451.92106
Rhodes, Adam; Hillen, Thomas
2
2020
A mathematical model for the immune-mediated theory of metastasis. Zbl 1422.92031
Rhodes, Adam; Hillen, Thomas
2
2019
A space-jump derivation for non-local models of cell-cell adhesion and non-local chemotaxis. Zbl 1392.92012
Buttenschön, Andreas; Hillen, Thomas; Gerisch, Alf; Painter, Kevin J.
22
2018
A patient-specific anisotropic diffusion model for brain tumour spread. Zbl 1394.92064
Swan, Amanda; Hillen, Thomas; Bowman, John C.; Murtha, Albert D.
11
2018
Global solvability and explicit bounds for non-local adhesion models. Zbl 1406.35430
Hillen, T.; Painter, K. J.; Winkler, M.
6
2018
Effects of G2-checkpoint dynamics on low-dose hyper-radiosensitivity. Zbl 1404.92101
Olobatuyi, Oluwole; de Vries, Gerda; Hillen, Thomas
1
2018
A non-local model for cancer stem cells and the tumour growth paradox. Zbl 1400.92244
Borsi, I.; Fasano, A.; Primicerio, M.; Hillen, T.
9
2017
Moments of von Mises and Fisher distributions and applications. Zbl 1358.35204
Hillen, Thomas; Painter, Kevin J.; Swan, Amanda C.; Murtha, Albert D.
6
2017
A reaction-diffusion model for radiation-induced bystander effects. Zbl 1377.92026
Olobatuyi, Oluwole; de Vries, Gerda; Hillen, Thomas
5
2017
Feedback regulation in a cancer stem cell model can cause an Allee effect. Zbl 1341.92029
Konstorum, Anna; Hillen, Thomas; Lowengrub, John
9
2016
The diffusion limit of transport equations in biology. Zbl 1353.92077
Hillen, Thomas; Swan, Amanda
5
2016
Mathematical modeling of the role of survivin on dedifferentiation and radioresistance in cancer. Zbl 1348.92086
Rhodes, Adam; Hillen, Thomas
4
2016
Glioma follow white matter tracts: a multiscale DTI-based model. Zbl 1343.92072
Engwer, Christian; Hillen, Thomas; Knappitsch, Markus; Surulescu, Christina
36
2015
Birth-jump processes and application to forest fire spotting. Zbl 1448.92374
Hillen, T.; Greese, B.; Martin, J.; de Vries, G.
2
2015
Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204
Hillen, Thomas; Painter, Kevin J.; Winkler, Michael
75
2013
Mathematical modelling of glioma growth: the use of diffusion tensor imaging (DTI) data to predict the anisotropic pathways of cancer invasion. Zbl 1314.92083
Painter, K. J.; Hillen, T.
42
2013
Transport and anisotropic diffusion models for movement in oriented habitats. Zbl 1347.92065
Hillen, Thomas; Painter, Kevin J.
31
2013
The tumor growth paradox and immune system-mediated selection for cancer stem cells. Zbl 1272.92026
Hillen, Thomas; Enderling, Heiko; Hahnfeldt, Philip
24
2013
Anisotropic diffusion in oriented environments can lead to singularity formation. Zbl 1273.35165
Hillen, Thomas; Painter, Kevin J.; Winkler, Michael
11
2013
Are more complicated tumour control probability models better? Zbl 1318.92029
Gong, Jiafen; Dos Santos, Mairon M.; Finlay, Chris; Hillen, Thomas
8
2013
Merging-emerging systems can describe spatio-temporal patterning in a chemotaxis model. Zbl 1301.92005
Hillen, Thomas; Zielinski, Jeffery; Painter, Kevin J.
4
2013
Partial differential equations. Theory and completely solved problems. Zbl 1280.35001
Hillen, Thomas; Leonard, I. Ed; van Roessel, Henry
5
2012
Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026
Painter, Kevin J.; Hillen, Thomas
106
2011
Mathematical analysis of a kinetic model for cell movement in network tissues. Zbl 1205.35165
Hillen, Thomas; Hinow, Peter; Wang, Zhi-An
15
2010
Existence theory for correlated random walks on bounded domains. Zbl 1201.35127
Hillen, T.
14
2010
Biological modeling with quiescent phases. Zbl 1179.92001
Hadeler, Karl P.; Hillen, Thomas; Lewis, Mark A.
9
2010
A user’s guide to PDE models for chemotaxis. Zbl 1161.92003
Hillen, T.; Painter, K. J.
750
2009
Pattern formation in prey-taxis systems. Zbl 1315.92064
Lee, J. M.; Hillen, T.; Lewis, M. A.
73
2009
Linear quadratic and tumour control probability modelling in external beam radiotherapy. Zbl 1311.92105
O’Rourke, S. F. C.; McAneney, H.; Hillen, T.
9
2009
The effect of wind on the propagation of an idealized forest fire. Zbl 1194.92070
Babak, Petro; Bourlioux, Anne; Hillen, Thomas
6
2009
Spatial dynamics in ecology. Zbl 1352.92179
Lewis, Mark A.; Hillen, Thomas; Lutscher, Frithjof
6
2009
Shock formation in a chemotaxis model. Zbl 1147.35057
Wang, Zhian; Hillen, Thomas
45
2008
Continuous traveling waves for prey-taxis. Zbl 1142.92043
Lee, J. M.; Hillen, T.; Lewis, M. A.
29
2008
Mesenchymal motion models in one dimension. Zbl 1183.35196
Wang, Zhi-An; Hillen, Thomas; Li, Michael
4
2008
Burning issues with Prometheus – the Canadian wildland fire growth simulation model. Zbl 1201.80069
Barber, J.; Bose, C.; Bourlioux, A.; Braun, J.; Brunelle, E.; Garcia, T.; Hillen, T.; Ong, B.
1
2008
Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383
Wang, Zhian; Hillen, Thomas
63
2007
Global existence for chemotaxis with finite sampling radius. Zbl 1116.92011
Hillen, T.; Painter, K.; Schmeiser, C.
42
2007
Modeling cell movement in anisotropic and heterogeneous network tissues. Zbl 1115.92009
Chauviere, A.; Hillen, T.; Preziosi, L.
31
2007
A mathematical model for \(M\)-phase specific chemotherapy including the \(G_0\)-phase and immunoresponse. Zbl 1123.92014
Liu, Wenxiang; Hillen, Thomas; Freedman, H. I.
9
2007
Coupled dynamics and quiescent phases. Zbl 1127.37025
Hadeler, Karl P.; Hillen, Thomas
9
2007
A classification of spikes and plateaus. Zbl 1160.35033
Hillen, Thomas
7
2007
Modeling the motion of a cell population in the extracellular matrix. Zbl 1163.92313
Chauviere, A.; Preziosi, L.; Hillen, T.
6
2007
\(M^5\) mesoscopic and macroscopic models for mesenchymal motion. Zbl 1112.92003
Hillen, Thomas
59
2006
A course in mathematical biology. Quantitative modeling with mathematical and computational methods. Zbl 1105.92002
de Vries, Gerda; Hillen, Thomas; Lewis, Mark; Müller, Johannes; Schönfisch, Birgitt
18
2006
Derivation of the tumour control probability (TCP) from a cell cycle model. Zbl 1111.92029
Dawson, A.; Hillen, T.
10
2006
Metastability in chemotaxis models. Zbl 1170.35460
Potapov, A. B.; Hillen, T.
34
2005
Hyperbolic systems and transport equations in mathematical biology. Zbl 1087.92002
Hillen, T.; Hadeler, K. P.
13
2005
On the \(L^2\)-moment closure of transport equations: the general case. Zbl 1077.92004
Hillen, T.
10
2005
The one-dimensional chemotaxis model: global existence and asymptotic profile. Zbl 1081.92005
Hillen, Thomas; Potapov, Alex
47
2004
The Langevin or Kramers approach to biological modeling. Zbl 1057.92012
Hadeler, Karl P.; Hillen, Thomas; Lutscher, Frithjof
16
2004
On the \(L^2\)-moment closure of transport equations: The Cattaneo approximation. Zbl 1052.92006
Hillen, T.
11
2004
Transport equations with resting phases. Zbl 1050.92052
Hillen, T.
23
2003
Cattaneo models for chemosensitive movement. Zbl 1020.92004
Dolak, Y.; Hillen, T.
18
2003
Erratum: Cattaneo models for chemosensitive movement. Numerical solution and pattern formation. Zbl 1062.92501
Dolak, Y.; Hillen, T.
14
2003
Blow-up and pattern formation in hyperbolic models for chemotaxis in 1-D. Zbl 1030.92005
Hillen, T.; Levine, H. A.
5
2003
Volume-filling and quorum-sensing in models for chemosensitive movement. Zbl 1057.92013
Painter, Kevin J.; Hillen, Thomas
307
2002
The diffusion limit of transport equations. II: Chemotaxis equations. Zbl 1103.35098
Othmer, Hans G.; Hillen, Thomas
157
2002
Hyperbolic models for chemosensitive movement. Zbl 1163.35491
Hillen, Thomas
48
2002
Global existence for a parabolic chemotaxis model with prevention of overcrowding. Zbl 0998.92006
Hillen, T.; Painter, K.
154
2001
Existence of weak solutions for a hyperbolic model of chemosensitive movement. Zbl 0984.35043
Hillen, Thomas; Rohde, Christian; Lutscher, Frithjof
16
2001
The diffusion limit of transport equations derived from velocity-jump processes. Zbl 1002.35120
Hillen, Thomas; Othmer, Hans G.
145
2000
Hyperbolic models for chemotaxis in 1-D. Zbl 0981.92003
Hillen, T.; Stevens, A.
33
2000
Qualitative analysis of semilinear Cattaneo equations. Zbl 0911.35023
Hillen, T.
13
1998
Modulation equations and parabolic limits of reaction random-walk systems. Zbl 0909.35015
Müller, Johannes; Hillen, Thomas
4
1998
Invariance principles for hyperbolic random walk systems. Zbl 0880.60030
Hillen, Thomas
11
1997
A Turing model with correlated random walk. Zbl 0863.92001
Hillen, Thomas
29
1996
Nonlinear hyperbolic systems for modeling propagations and application to the Turing model. (Nichtlineare hyperbolische Systeme zur Modellierung von Ausbreitungsvorgängen und Anwendung auf das Turing Modell.) Zbl 0878.35071
Hillen, Thomas
4
1995
Differential equations on branched manifolds. Zbl 0797.58071
Hadeler, K. P.; Hillen, Thomas
1
1993
all top 5

Cited by 1,862 Authors

80 Winkler, Michael
41 Hillen, Thomas
41 Mu, Chunlai
40 Wang, Zhian
33 Tao, Youshan
33 Zheng, Jiashan
31 Bellomo, Nicola
28 Painter, Kevin J.
27 Yokota, Tomomi
23 Zheng, Pan
21 Carrillo de la Plata, José Antonio
21 Surulescu, Christina
21 Wang, Yifu
20 Jin, Haiyang
18 Wang, Liangchen
16 Liu, Bin
16 Perthame, Benoît
16 Xiang, Tian
15 Ren, Guoqiang
15 Zheng, Sining
13 Bellouquid, Abdelghani
13 Calvez, Vincent
13 Chaplain, Mark A. J.
13 Lankeit, Johannes
13 Lin, Ke
13 Shen, Wenxian
13 Wang, Qi
11 Cao, Xinru
11 Fujie, Kentaro
11 Kim, Yong Jung
11 Ma, Manjun
11 Mizukami, Masaaki
11 Soler, Juan S.
11 Stinner, Christian
11 Vauchelet, Nicolas
11 Wang, Yilong
10 Black, Tobias
10 Hadeler, Karl-Peter
10 Lewis, Mark Alun
10 Li, Tong
10 Li, Yuxiang
10 Xiang, Zhaoyin
9 de Vries, Gerda
9 Eftimie, Raluca
9 Fu, Shengmao
9 Ishida, Sachiko
9 Liu, Ji
9 Lorenzi, Tommaso
9 Saad, Mazen
9 Trucu, Dumitru
9 Zhao, Kun
8 Bressloff, Paul C.
8 Delitala, Marcello Edoardo
8 Fuest, Mario
8 Gerisch, Alf
8 Li, Dan
8 Li, Xie
8 Li, Yan
8 Liu, Zhengrong
8 Maini, Philip Kumar
8 Shi, Junping
8 Wang, Jinfeng
8 Wu, Sainan
7 Chen, Xinfu
7 Granero Belinchón, Rafael
7 Hu, Xuegang
7 Jüngel, Ansgar
7 Ke, Yuanyuan
7 Kmit, Irina
7 Li, Jing
7 Lutscher, Frithjof
7 Lv, Wenbin
7 Nieto, Juanjo
7 Sherratt, Jonathan A.
7 Viglialoro, Giuseppe
7 Xue, Chuan
6 Bianca, Carlo
6 Byrne, Helen Mary
6 Chiyo, Yutaro
6 Enderling, Heiko
6 Gosse, Laurent
6 Guo, Shangjiang
6 Issa, Tahir Bachar
6 Klar, Axel
6 Magal, Pierre
6 Pang, Peter Y. H.
6 Parshad, Rana D.
6 Plaza, Ramón G.
6 Potts, Jonathan R.
6 Qiu, Shuyan
6 Tang, Min
6 Wang, Hao
6 Wang, Wei
6 Wang, Yulan
6 Yasuda, Shugo
6 Yoon, Changwook
6 Zhang, Qingshan
5 Baker, Ruth Elizabeth
5 Burczak, Jan
5 Chamoun, Georges
...and 1,762 more Authors
all top 5

Cited in 233 Serials

122 Journal of Differential Equations
106 Journal of Mathematical Analysis and Applications
94 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
89 Journal of Mathematical Biology
73 Discrete and Continuous Dynamical Systems. Series B
64 Bulletin of Mathematical Biology
57 Nonlinear Analysis. Real World Applications
56 Journal of Theoretical Biology
48 ZAMP. Zeitschrift für angewandte Mathematik und Physik
42 Discrete and Continuous Dynamical Systems
39 Computers & Mathematics with Applications
31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
28 Mathematical Methods in the Applied Sciences
24 Applied Mathematics Letters
22 Nonlinearity
21 SIAM Journal on Applied Mathematics
20 Mathematical Biosciences and Engineering
19 Mathematical and Computer Modelling
18 Mathematical Biosciences
18 Acta Applicandae Mathematicae
18 Communications on Pure and Applied Analysis
17 Physica D
16 Applicable Analysis
16 Kinetic and Related Models
14 SIAM Journal on Mathematical Analysis
13 Journal of Dynamics and Differential Equations
13 Journal of Biological Dynamics
13 Discrete and Continuous Dynamical Systems. Series S
11 Communications in Partial Differential Equations
11 Mathematical Modelling of Natural Phenomena
10 Journal of Computational Physics
10 Physica A
10 Applied Mathematics and Computation
9 Journal of Mathematical Physics
9 European Journal of Applied Mathematics
9 Calculus of Variations and Partial Differential Equations
9 NoDEA. Nonlinear Differential Equations and Applications
9 Multiscale Modeling & Simulation
8 Journal of Nonlinear Science
7 Communications in Nonlinear Science and Numerical Simulation
7 Journal of Evolution Equations
7 Boundary Value Problems
6 Applied Mathematical Modelling
5 Indiana University Mathematics Journal
5 Mathematics and Computers in Simulation
5 Ricerche di Matematica
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Journal of Scientific Computing
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 SIAM Journal on Scientific Computing
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 SIAM Journal on Applied Dynamical Systems
5 Journal of Statistical Mechanics: Theory and Experiment
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Networks and Heterogeneous Media
5 International Journal of Biomathematics
4 Archive for Rational Mechanics and Analysis
4 Chaos, Solitons and Fractals
4 Journal of Computational and Applied Mathematics
4 Applied Numerical Mathematics
4 Japan Journal of Industrial and Applied Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Applied Mathematics. Series B (English Edition)
4 Electronic Journal of Differential Equations (EJDE)
4 Abstract and Applied Analysis
4 Chaos
4 Nonlinear Analysis. Hybrid Systems
4 Science China. Mathematics
4 Advances in Nonlinear Analysis
4 SN Partial Differential Equations and Applications
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Statistical Physics
3 Applied Mathematics and Optimization
3 Journal of Functional Analysis
3 Numerische Mathematik
3 Proceedings of the American Mathematical Society
3 Quarterly of Applied Mathematics
3 Transactions of the American Mathematical Society
3 Statistics & Probability Letters
3 Acta Mathematicae Applicatae Sinica. English Series
3 Applications of Mathematics
3 Engineering Analysis with Boundary Elements
3 Discrete Dynamics in Nature and Society
3 Journal of Biological Systems
3 Advances in Difference Equations
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 AIMS Mathematics
2 International Journal of Modern Physics B
2 Transport Theory and Statistical Physics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Funkcialaj Ekvacioj. Serio Internacia
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Numerical Analysis
2 Theoretical Population Biology
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 The Annals of Applied Probability
2 Journal of Mathematical Sciences (New York)
2 Advances in Computational Mathematics
2 Mathematics and Mechanics of Solids
...and 133 more Serials
all top 5

Cited in 38 Fields

1,325 Biology and other natural sciences (92-XX)
1,301 Partial differential equations (35-XX)
155 Numerical analysis (65-XX)
92 Probability theory and stochastic processes (60-XX)
76 Fluid mechanics (76-XX)
69 Statistical mechanics, structure of matter (82-XX)
65 Ordinary differential equations (34-XX)
42 Dynamical systems and ergodic theory (37-XX)
35 Integral equations (45-XX)
30 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Systems theory; control (93-XX)
20 Operator theory (47-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
15 Classical thermodynamics, heat transfer (80-XX)
13 Mechanics of deformable solids (74-XX)
11 Computer science (68-XX)
10 Statistics (62-XX)
10 Operations research, mathematical programming (90-XX)
6 Functional analysis (46-XX)
4 General and overarching topics; collections (00-XX)
4 Real functions (26-XX)
4 Difference and functional equations (39-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Mechanics of particles and systems (70-XX)
4 Optics, electromagnetic theory (78-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Differential geometry (53-XX)
3 Information and communication theory, circuits (94-XX)
2 Combinatorics (05-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Geophysics (86-XX)
1 History and biography (01-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year