-
1
-
-
0003880161
-
-
3rd edn. New York: Garland Publishing
-
Alberts, B., Bray, D., Lewis, J., Raff, M., Roberts, K. & Watson, J. D. (1994) Molecular Biology of the Cell, 3rd edn. New York: Garland Publishing.
-
(1994)
Molecular Biology of the Cell
-
-
Alberts, B.1
Bray, D.2
Lewis, J.3
Raff, M.4
Roberts, K.5
Watson, J.D.6
-
2
-
-
0019188958
-
Biased random walk models for chemotaxis and related diffusion approximations
-
Alt, W. (1980) Biased random walk models for chemotaxis and related diffusion approximations. J. Math. Biol., 9, 147-177.
-
(1980)
J. Math. Biol.
, vol.9
, pp. 147-177
-
-
Alt, W.1
-
3
-
-
0001175677
-
Mathematical modelling of tumour invasion and metastasis
-
Anderson, A. R. A., Chaplain, M. A. J., Newman, E. L., Steele, R. J. C. & Thompson, A. M. (2000) Mathematical modelling of tumour invasion and metastasis. J. Theor. Med., 2, 129-154.
-
(2000)
J. Theor. Med.
, vol.2
, pp. 129-154
-
-
Anderson, A.R.A.1
Chaplain, M.A.J.2
Newman, E.L.3
Steele, R.J.C.4
Thompson, A.M.5
-
4
-
-
3843079723
-
A history of the study of solid tumour growth: The contribution of mathematical modelling
-
Araujo, R. & McElwain, D. L. S. (2004) A history of the study of solid tumour growth: The contribution of mathematical modelling. Bull. Math. Biol., 66, 1039-1091.
-
(2004)
Bull. Math. Biol.
, vol.66
, pp. 1039-1091
-
-
Araujo, R.1
McElwain, D.L.S.2
-
6
-
-
0033601769
-
Membrane-type matrix metalloprotease (MT1-MMP) enables invasive migration of glioma cells in central nervous system white matter
-
Beliën, A. T. J., Paganetti, P. A. & Schwab, M. E. (1999) Membrane-type matrix metalloprotease (MT1-MMP) enables invasive migration of glioma cells in central nervous system white matter. J. Cell Biol., 144, 373-384.
-
(1999)
J. Cell Biol.
, vol.144
, pp. 373-384
-
-
Beliën, A.T.J.1
Paganetti, P.A.2
Schwab, M.E.3
-
7
-
-
0020964054
-
Mathematical model for contact inhibited cell division
-
Bergman, M. O. (1983) Mathematical model for contact inhibited cell division. J. Theor. Biol., 102, 375-386.
-
(1983)
J. Theor. Biol.
, vol.102
, pp. 375-386
-
-
Bergman, M.O.1
-
8
-
-
0022545416
-
Glioma cell interactions with fetal rat brain aggregates in vitro and with brain tissue in vivo
-
Bjerkvig, R., Laerum, O. D. & Mella, O. (1986) Glioma cell interactions with fetal rat brain aggregates in vitro and with brain tissue in vivo. Cancer Res., 46, 4071-4079.
-
(1986)
Cancer Res.
, vol.46
, pp. 4071-4079
-
-
Bjerkvig, R.1
Laerum, O.D.2
Mella, O.3
-
9
-
-
0030832962
-
The interaction of growth rates and diffusion coefficients in a three-dimensional mathematical of gliomas
-
Burgess, P. K., Kulesa, P. M., Murray, J. D. & Alvord, E. C. (1997) The interaction of growth rates and diffusion coefficients in a three-dimensional mathematical of gliomas. J. Neuropathol. Exp. Neurol., 56, 704-713.
-
(1997)
J. Neuropathol. Exp. Neurol.
, vol.56
, pp. 704-713
-
-
Burgess, P.K.1
Kulesa, P.M.2
Murray, J.D.3
Alvord, E.C.4
-
10
-
-
0003292153
-
A mathematical model of trophoblast invasion
-
Byrne, H. M., Chaplain, M. A. J., Pettet, G. J. & McElwain, D. L. S. (1999) A mathematical model of trophoblast invasion. J. Theor. Med. 1, 275-286.
-
(1999)
J. Theor. Med.
, vol.1
, pp. 275-286
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
Pettet, G.J.3
McElwain, D.L.S.4
-
11
-
-
0035501748
-
An analysis of a mathematical model of trophoblast invasion
-
Byrne, H. M., Chaplain, M. A. J., Pettet, G. J. & McElwain, D. L. S. (2001) An analysis of a mathematical model of trophoblast invasion. Appl. Math. Lett., 14, 1005-1010.
-
(2001)
Appl. Math. Lett.
, vol.14
, pp. 1005-1010
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
Pettet, G.J.3
McElwain, D.L.S.4
-
13
-
-
0032844761
-
Matrix metalloproteinases and their biological function in human gliomas
-
Chintala, S. K., Tonn, J. C. & Rao, J. S. (1999) Matrix metalloproteinases and their biological function in human gliomas. Int. J. Dev. Neurosci., 17, 495-502.
-
(1999)
Int. J. Dev. Neurosci.
, vol.17
, pp. 495-502
-
-
Chintala, S.K.1
Tonn, J.C.2
Rao, J.S.3
-
14
-
-
0032556238
-
A continuum analysis of the chemotactic signal seen by Dictyostelium discoideum
-
Dallon, J. C. & Othmer, H. G. (1998) A continuum analysis of the chemotactic signal seen by Dictyostelium discoideum. J. Theor. Biol. 194, 461-483.
-
(1998)
J. Theor. Biol.
, vol.194
, pp. 461-483
-
-
Dallon, J.C.1
Othmer, H.G.2
-
15
-
-
0034792908
-
Migratory activity of human glioma cell lines in vitro assessed by continuous single cell observation
-
Demuth, T., Hopf, N. J., Kempski, O., Sauner, D., Herr, M., Giese, A. & Perneczky, A. (2001) Migratory activity of human glioma cell lines in vitro assessed by continuous single cell observation. Clin. Exp. Metastasis, 18, 589-597.
-
(2001)
Clin. Exp. Metastasis
, vol.18
, pp. 589-597
-
-
Demuth, T.1
Hopf, N.J.2
Kempski, O.3
Sauner, D.4
Herr, M.5
Giese, A.6
Perneczky, A.7
-
16
-
-
0025606979
-
Interaction between human brain tumour biopsies and fetal rat brain tissue in vitro
-
Engebraaten, O., Bjerkvig, R., Lund-Johansen, M., Wester, K., Pedersen, P.-H., Mørk, S., Backlund, E.-O. & Laerum, O. D. (1990) Interaction between human brain tumour biopsies and fetal rat brain tissue in vitro. Acta Neuropathol., 81, 130-140.
-
(1990)
Acta Neuropathol.
, vol.81
, pp. 130-140
-
-
Engebraaten, O.1
Bjerkvig, R.2
Lund-Johansen, M.3
Wester, K.4
Pedersen, P.-H.5
Mørk, S.6
Backlund, E.-O.7
Laerum, O.D.8
-
17
-
-
0025062882
-
Quantitative relationships between single-cell and cell-population model parameters for chemosensory migration responses of alveolar macrophages to c5a
-
Farrell, B. E., Daniele, R. P. & Lauffenburger, D. A. (1990) Quantitative relationships between single-cell and cell-population model parameters for chemosensory migration responses of alveolar macrophages to c5a. Cell Motil. Cytoskeleton, 16, 279-293.
-
(1990)
Cell Motil. Cytoskeleton
, vol.16
, pp. 279-293
-
-
Farrell, B.E.1
Daniele, R.P.2
Lauffenburger, D.A.3
-
18
-
-
0029787294
-
Dichotomy of astrocytoma migration and proliferation
-
Giese, A., Loo, M. A., Tran, N., Haskett, D., Coons, S. W. & Berens, M. E. (1996) Dichotomy of astrocytoma migration and proliferation. Int. J. Cancer, 67, 275-282.
-
(1996)
Int. J. Cancer
, vol.67
, pp. 275-282
-
-
Giese, A.1
Loo, M.A.2
Tran, N.3
Haskett, D.4
Coons, S.W.5
Berens, M.E.6
-
19
-
-
0029995767
-
Glioma invasion in the central nervous system
-
Giese, A. & Westphal, M. (1996) Glioma invasion in the central nervous system. Neurosurgery, 39, 235-252.
-
(1996)
Neurosurgery
, vol.39
, pp. 235-252
-
-
Giese, A.1
Westphal, M.2
-
20
-
-
0141681060
-
Complex dynamics of tumours: Modelling an emerging brain tumor system with coupled reaction-diffusion equations
-
Habib, S.,Molina-Paris, C. & Deisboeck, T. S. (2003) Complex dynamics of tumours: Modelling an emerging brain tumor system with coupled reaction-diffusion equations. Physica A, 327, 501-524.
-
(2003)
Physica A
, vol.327
, pp. 501-524
-
-
Habib, S.1
Molina-Paris, C.2
Deisboeck, T.S.3
-
21
-
-
0033997062
-
Locomotion and proliferation of glioblastoma cells in vitro: Statistical evaluation of videomicroscopic observations
-
Hegedüs, B., Czirók, A., Fazekas, I., Bábel, T., Madarász, E. & Vicsek, T. (2000) Locomotion and proliferation of glioblastoma cells in vitro: Statistical evaluation of videomicroscopic observations. J. Neurosurg., 92, 428-434.
-
(2000)
J. Neurosurg.
, vol.92
, pp. 428-434
-
-
Hegedüs, B.1
Czirók, A.2
Fazekas, I.3
Bábel, T.4
Madarász, E.5
Vicsek, T.6
-
22
-
-
58149209141
-
Cellular pattern formation during dictyostelium aggregation
-
Hoefer, T., Sherratt, J. A. & Maini, P. K. (1995) Cellular pattern formation during dictyostelium aggregation. Physica D, 85, 425-444.
-
(1995)
Physica D
, vol.85
, pp. 425-444
-
-
Hoefer, T.1
Sherratt, J.A.2
Maini, P.K.3
-
23
-
-
0026770377
-
Integrins: Versatility, modulation, and signalling in cell adhesion
-
Hynes, R. O. (1992) Integrins: Versatility, modulation, and signalling in cell adhesion. Cell, 69, 11-25.
-
(1992)
Cell
, vol.69
, pp. 11-25
-
-
Hynes, R.O.1
-
24
-
-
0036846937
-
A mechanical model of tumour encapsulation and transcapsular spread
-
Jackson, T. L. & Byrne, H. M. (2002) A mechanical model of tumour encapsulation and transcapsular spread. Math. Biosci., 18, 307-328.
-
(2002)
Math. Biosci.
, vol.18
, pp. 307-328
-
-
Jackson, T.L.1
Byrne, H.M.2
-
26
-
-
0015010990
-
Travelling bands of chemotactic bacteria: A theoretical analysis
-
Keller, E. F. & Segel, L. A. (1971b) Travelling bands of chemotactic bacteria: A theoretical analysis. J. Theor. Biol., 30, 235-248.
-
(1971)
J. Theor. Biol.
, vol.30
, pp. 235-248
-
-
Keller, E.F.1
Segel, L.A.2
-
27
-
-
0031890247
-
Stimulation of extracellular matrix components in the normal brain by invading glioma cells
-
Knott, C. A., Mahesparan, R., Garcia-Cabrera, I., Tysnes, B. B., Edvardsen, K., Ness, G. O., Mørk, S., Lund-Johansen, M. & Bjerkvig, R. (1998) Stimulation of extracellular matrix components in the normal brain by invading glioma cells. Int. J. Cancer, 75, 864-872.
-
(1998)
Int. J. Cancer
, vol.75
, pp. 864-872
-
-
Knott, C.A.1
Mahesparan, R.2
Garcia-Cabrera, I.3
Tysnes, B.B.4
Edvardsen, K.5
Ness, G.O.6
Mørk, S.7
Lund-Johansen, M.8
Bjerkvig, R.9
-
28
-
-
0017117005
-
Model for the chemotactic response of a bacterial population
-
Lapidus, I. R. & Schiller, R. (1976) Model for the chemotactic response of a bacterial population. Biophys. J., 16, 779-789.
-
(1976)
Biophys. J.
, vol.16
, pp. 779-789
-
-
Lapidus, I.R.1
Schiller, R.2
-
29
-
-
0024927313
-
A simple model for the effects of receptor-mediated cell-substratum adhesion on cell migration
-
Lauffenburger, D. (1989) A simple model for the effects of receptor-mediated cell-substratum adhesion on cell migration. Chem. Eng. Sci., 44, 1903-1914.
-
(1989)
Chem. Eng. Sci.
, vol.44
, pp. 1903-1914
-
-
Lauffenburger, D.1
-
30
-
-
0020687624
-
Measurement of phenomenological parameters for leukocyte motility and chemotaxis
-
Lauffenburger, D. A. (1983) Measurement of phenomenological parameters for leukocyte motility and chemotaxis. Agents Actions Suppl., 12, 34-53.
-
(1983)
Agents Actions Suppl.
, vol.12
, pp. 34-53
-
-
Lauffenburger, D.A.1
-
31
-
-
0010346306
-
Travelling bands of chemotactic bacteria in the context of population growth
-
Lauffenburger, D., Kennedy, C. R. & Aris, R. (1984) Travelling bands of chemotactic bacteria in the context of population growth. Bull. Math. Biol., 46, 19-40.
-
(1984)
Bull. Math. Biol.
, vol.46
, pp. 19-40
-
-
Lauffenburger, D.1
Kennedy, C.R.2
Aris, R.3
-
33
-
-
2342646187
-
Travelling wave model to interpret a woundhealing cell migration assay for human peritoneal mesothelial cells
-
Maini, P. K., McElwain, D. L. S. & Leavesley, D. I. (2004) Travelling wave model to interpret a woundhealing cell migration assay for human peritoneal mesothelial cells. Tissue Eng., 10, 475-482.
-
(2004)
Tissue Eng.
, vol.10
, pp. 475-482
-
-
Maini, P.K.1
McElwain, D.L.S.2
Leavesley, D.I.3
-
34
-
-
0344845476
-
Modelling cell invasion
-
PhD Thesis, Oxford University, Oxford, UK
-
Marchant, B. (1999) Modelling cell invasion. PhD Thesis, Oxford University, Oxford, UK.
-
(1999)
-
-
Marchant, B.1
-
35
-
-
0034564115
-
Travelling shock waves arising in a model of malignant invasion
-
Marchant, B. P., Norbury, J. & Perumpanani, A. J. (2000) Travelling shock waves arising in a model of malignant invasion. SIAM J. Appl. Math., 60, 463-476.
-
(2000)
SIAM J. Appl. Math.
, vol.60
, pp. 463-476
-
-
Marchant, B.P.1
Norbury, J.2
Perumpanani, A.J.3
-
36
-
-
0035511361
-
Travelling wave solutions to a haptotaxis-dominated model of malignant invasion
-
Marchant, B. P., Norbury, J. & Sherratt, J. A. (2001) Travelling wave solutions to a haptotaxis-dominated model of malignant invasion. Nonlinearity, 14, 1653-1671.
-
(2001)
Nonlinearity
, vol.14
, pp. 1653-1671
-
-
Marchant, B.P.1
Norbury, J.2
Sherratt, J.A.3
-
37
-
-
0032721665
-
Role of integrins in cancer: Survey of expression patterns
-
Mizejewski, G. J. (1999) Role of integrins in cancer: Survey of expression patterns. Proc. Soc. Exp. Biol. Med., 222, 124-138.
-
(1999)
Proc. Soc. Exp. Biol. Med.
, vol.222
, pp. 124-138
-
-
Mizejewski, G.J.1
-
38
-
-
0032820711
-
Proteolysis and cell migration: Creating a path?
-
Murphy, G. & Gavrilovic, J. (1999) Proteolysis and cell migration: creating a path? Curr. Opin. Cell. Biol., 11, 614-621.
-
(1999)
Curr. Opin. Cell. Biol.
, vol.11
, pp. 614-621
-
-
Murphy, G.1
Gavrilovic, J.2
-
41
-
-
0031976733
-
Physical and biochemical regulation of integrin release during rear detachment of migrating cells
-
Palecek, S. P., Huttenlocher, A., Horwitz, A. F. & Lauffenburger, D. A. (1998) Physical and biochemical regulation of integrin release during rear detachment of migrating cells. J. Cell Sci., 111, 929-940.
-
(1998)
J. Cell Sci.
, vol.111
, pp. 929-940
-
-
Palecek, S.P.1
Huttenlocher, A.2
Horwitz, A.F.3
Lauffenburger, D.A.4
-
42
-
-
0032767250
-
Extracellular matrix concentration exerts selection pressure on invasive cells
-
Perumpanani, A. J. & Byrne, H. M. (1999) Extracellular matrix concentration exerts selection pressure on invasive cells. Eur. J. Cancer, 35, 1274-1280.
-
(1999)
Eur. J. Cancer
, vol.35
, pp. 1274-1280
-
-
Perumpanani, A.J.1
Byrne, H.M.2
-
44
-
-
0028003498
-
Chemotaxis and chemokinesis in eukaryotic cells: The Keller-Segel equations as an approximation to a detailed model
-
Sherratt, J. A. (1994) Chemotaxis and chemokinesis in eukaryotic cells: the Keller-Segel equations as an approximation to a detailed model. Bull. Math. Biol., 56, 129-146.
-
(1994)
Bull. Math. Biol.
, vol.56
, pp. 129-146
-
-
Sherratt, J.A.1
-
45
-
-
0027214763
-
Chemical control of eukaryotic cell movement: A new model
-
Sherratt, J. A., Sage, E. H. & Murray, J. D. (1993) Chemical control of eukaryotic cell movement: A new model. J. Theor. Biol., 162, 23-40.
-
(1993)
J. Theor. Biol.
, vol.162
, pp. 23-40
-
-
Sherratt, J.A.1
Sage, E.H.2
Murray, J.D.3
-
46
-
-
0035000670
-
Proteases in invasion: Matrix metalloproteinases
-
Stetler-Stevenson, W. G. & Yu, A. E. (2001) Proteases in invasion: matrix metalloproteinases. Semin. Cancer Biol., 11, 143-152.
-
(2001)
Semin. Cancer Biol.
, vol.11
, pp. 143-152
-
-
Stetler-Stevenson, W.G.1
Yu, A.E.2
-
47
-
-
0033752019
-
A quantitative model for differential motility of gliomas in grey and white matter
-
Swanson, K. R., Alvord, E. C. & Murray, J. D. (2000) A quantitative model for differential motility of gliomas in grey and white matter. Cell Prolif., 33, 317-329.
-
(2000)
Cell Prolif.
, vol.33
, pp. 317-329
-
-
Swanson, K.R.1
Alvord, E.C.2
Murray, J.D.3
-
48
-
-
0037033735
-
Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy
-
Swanson, K. R., Alvord, E. C. & Murray, J. D. (2002) Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy. Br. J. Cancer, 86, 14-18.
-
(2002)
Br. J. Cancer
, vol.86
, pp. 14-18
-
-
Swanson, K.R.1
Alvord, E.C.2
Murray, J.D.3
-
49
-
-
0037560896
-
Virtual resection of gliomas: Effect of extent of resection on recurrence
-
Swanson, K. R., Alvord, E. C. & Murray, J. D. (2003a) Virtual resection of gliomas: Effect of extent of resection on recurrence. Math. Comput. Model., 37, 1177-1190.
-
(2003)
Math. Comput. Model.
, vol.37
, pp. 1177-1190
-
-
Swanson, K.R.1
Alvord, E.C.2
Murray, J.D.3
-
50
-
-
0242607878
-
Virtual and real brain tumours: Using mathematical modelling to quantify glioma growth and invasion
-
Swanson, K. R., Bridge, C., Murray, J. D. & Alvord, E. C. (2003b) Virtual and real brain tumours: Using mathematical modelling to quantify glioma growth and invasion. J. Neurol. Sci., 216, 1-10.
-
(2003)
J. Neurol. Sci.
, vol.216
, pp. 1-10
-
-
Swanson, K.R.1
Bridge, C.2
Murray, J.D.3
Alvord, E.C.4
-
51
-
-
0028936012
-
A mathematical model of glioma growth: The effect of chemotherapy on spatio-temporal growth
-
Tracqui, P., Cruywagen, G. C., Woodward, D. E., Bartoo, G. T., Murray, J. D. & Alvord, E. C. (1995) A mathematical model of glioma growth: The effect of chemotherapy on spatio-temporal growth. Cell Prolif., 28, 17-31.
-
(1995)
Cell Prolif.
, vol.28
, pp. 17-31
-
-
Tracqui, P.1
Cruywagen, G.C.2
Woodward, D.E.3
Bartoo, G.T.4
Murray, J.D.5
Alvord, E.C.6
-
52
-
-
0023779971
-
Measurement of the chemotaxis coefficient for human neutrophils in the under-agarose migration assay
-
Tranquillo, R. T., Zigmond, S. H. & Lauffenburger, D. A. (1988) Measurement of the chemotaxis coefficient for human neutrophils in the under-agarose migration assay. Cell Motil. Cytoskeleton, 11, 1-15.
-
(1988)
Cell Motil. Cytoskeleton
, vol.11
, pp. 1-15
-
-
Tranquillo, R.T.1
Zigmond, S.H.2
Lauffenburger, D.A.3
-
53
-
-
0033556841
-
The role of integrins in the malignant phenotype of gliomas
-
Uhm, J. H., Gladston, C. L. & Rao, J. S. (1999) The role of integrins in the malignant phenotype of gliomas. Front. Biosci., 4, 188-199.
-
(1999)
Front. Biosci.
, vol.4
, pp. 188-199
-
-
Uhm, J.H.1
Gladston, C.L.2
Rao, J.S.3
-
54
-
-
0032876809
-
Heterogeneous regional expression patterns of matrix metalloproteinases in human malignant gliomas
-
Vince, G. H., Wagner, S., Pietch, T., Klein, R., Goldbrunner, R. H., Roosen, K. & Tonn, J. C. (1999) Heterogeneous regional expression patterns of matrix metalloproteinases in human malignant gliomas. Int. J. Dev. Neurosci., 17, 437-445.
-
(1999)
Int. J. Dev. Neurosci.
, vol.17
, pp. 437-445
-
-
Vince, G.H.1
Wagner, S.2
Pietch, T.3
Klein, R.4
Goldbrunner, R.H.5
Roosen, K.6
Tonn, J.C.7
-
55
-
-
0034234046
-
Cell kinetics: Mathematical models and experimental bases
-
White, R. A. & Terry, N. A. H. (2000) Cell kinetics: Mathematical models and experimental bases. Math. Comput. Model, 32, 113-124.
-
(2000)
Math. Comput. Model
, vol.32
, pp. 113-124
-
-
White, R.A.1
Terry, N.A.H.2
-
56
-
-
0022340897
-
Receptor-mediated endocytosis
-
Wileman, T., Harding, C. & STAHL, P. (1985) Receptor-mediated endocytosis. Biochem. J., 232, 1-14.
-
(1985)
Biochem. J.
, vol.232
, pp. 1-14
-
-
Wileman, T.1
Harding, C.2
Stahl, P.3
-
57
-
-
0029845336
-
A mathematical model of glioma growth: The effect and extent of surgical resection
-
Woodward, D. E., Cook, J., Tracqui, P., Cruywagen, G. C., Murray, J. D. & Alvord, E. C. (1996) A mathematical model of glioma growth: The effect and extent of surgical resection. Cell Prolif., 29, 269-288.
-
(1996)
Cell Prolif.
, vol.29
, pp. 269-288
-
-
Woodward, D.E.1
Cook, J.2
Tracqui, P.3
Cruywagen, G.C.4
Murray, J.D.5
Alvord, E.C.6
|