-
2
-
-
58749112820
-
Mathematics of cell motility: Have we got its number?
-
doi:10.1007/s00285-008-0182-2
-
Mogilner, A. 2009 Mathematics of cell motility: have we got its number? J. Math. Biol. 58, 105-134. (doi:10.1007/s00285-008-0182-2)
-
(2009)
J. Math. Biol.
, vol.58
, pp. 105-134
-
-
Mogilner, A.1
-
3
-
-
79955562832
-
A comparison of mathematical models for polarization of single eukaryotic cells in response to guided cues
-
doi:10.1371/journal.pcbi.1001121
-
Jilkine, A. & Edelstein-Keshet, L. 2011 A comparison of mathematical models for polarization of single eukaryotic cells in response to guided cues. PLoS Comput. Biol. 7, e10011210. (doi:10.1371/journal.pcbi.1001121)
-
(2011)
PLoS Comput. Biol.
, vol.7
-
-
Jilkine, A.1
Edelstein-Keshet, L.2
-
4
-
-
34548103828
-
Spatio-temporal analysis of eukaryotic cell motility by improved force cytometry
-
doi:10.1073/pnas.0705815104
-
Del Alamo, J. C., Meili, R., Alonso-Latorre, B., Rodríguez- Rodríguez, J., Aliseda, A., Firtel, R. A. & Lasheras, J. C. 2007 Spatio-temporal analysis of eukaryotic cell motility by improved force cytometry. Proc. Natl Acad. Sci. USA 104, 13 343 - 13 348. (doi:10.1073/pnas. 0705815104)
-
(2007)
Proc. Natl Acad. Sci. USA
, vol.104
, pp. 13343-13348
-
-
Del Alamo, J.C.1
Meili, R.2
Alonso-Latorre, B.3
Rodríguez- Rodríguez, J.4
Aliseda, A.5
Firtel, R.A.6
Lasheras, J.C.7
-
5
-
-
34249649748
-
Traction force microscopy in Dictyostelium reveals distinct roles for myosin II motor and actin-crosslinking activity in polarized cell movement
-
doi:10.1242/jcs.002527
-
Lombardi, M. L., Knecht, D. A., Dembo, M. & Lee, J. 2007 Traction force microscopy in Dictyostelium reveals distinct roles for myosin II motor and actin-crosslinking activity in polarized cell movement. J. Cell Sci. 120, 1624-1634. (doi:10.1242/jcs.002527)
-
(2007)
J. Cell Sci.
, vol.120
, pp. 1624-1634
-
-
Lombardi, M.L.1
Knecht, D.A.2
Dembo, M.3
Lee, J.4
-
6
-
-
84860761612
-
Model for self-polarization and motility of keratocyte fragments
-
doi:10.1098/rsif.2011.0433
-
Ziebert, F., Swaminathan, S. & Aranson, I. S. 2012 Model for self-polarization and motility of keratocyte fragments. J. R. Soc. Interface 9, 1084-1092. (doi:10.1098/rsif.2011.0433)
-
(2012)
J. R. Soc. Interface
, vol.9
, pp. 1084-1092
-
-
Ziebert, F.1
Swaminathan, S.2
Aranson, I.S.3
-
7
-
-
79958064500
-
Modelling cell movement and chemotaxis pseudopod based feedback
-
doi:10.1137/100788938
-
Neilson, M. P., Mackenzie, J., Webb, S. & Insall, R. H. 2011 Modelling cell movement and chemotaxis pseudopod based feedback. SIAM J. Sci. Comput. 33, 1035-1057. (doi:10.1137/100788938)
-
(2011)
SIAM J. Sci. Comput.
, vol.33
, pp. 1035-1057
-
-
Neilson, M.P.1
Mackenzie, J.2
Webb, S.3
Insall, R.H.4
-
8
-
-
17144395538
-
Thin-film theories for two-phase reactive flow models of active cell motion
-
doi:10.1093/imammb/dqh022
-
Oliver, J. M., King, J. R., McKinlay, K. J., Brown, P. D., Grant, D. M., Scotchford, C. A. & Wood, J. V. 2005 Thin-film theories for two-phase reactive flow models of active cell motion. Math. Med. Biol. 22, 53-98. (doi:10.1093/imammb/dqh022)
-
(2005)
Math. Med. Biol.
, vol.22
, pp. 53-98
-
-
Oliver, J.M.1
King, J.R.2
McKinlay, K.J.3
Brown, P.D.4
Grant, D.M.5
Scotchford, C.A.6
Wood, J.V.7
-
9
-
-
0000079636
-
Cytoplasm dynamics and cell motion: Two-phase flow models
-
doi:10.1016/S0025-5564(98)10067-6
-
Alt, W. & Dembo, M. 1999 Cytoplasm dynamics and cell motion: two-phase flow models. Math. Biosci. 156, 207-228. (doi:10.1016/S0025-5564(98) 10067-6)
-
(1999)
Math. Biosci.
, vol.156
, pp. 207-228
-
-
Alt, W.1
Dembo, M.2
-
10
-
-
34047103813
-
Finite elements on evolving surfaces
-
doi:10.1093/imanum/drl023
-
Dziuk, G. & Elliott, C. M. 2007 Finite elements on evolving surfaces. IMA J. Numer. Anal. 27, 262-292. (doi:10.1093/imanum/drl023)
-
(2007)
IMA J. Numer. Anal.
, vol.27
, pp. 262-292
-
-
Dziuk, G.1
Elliott, C.M.2
-
11
-
-
55049122195
-
Parametric approximation of Willmore flow and related geometric evolution equations
-
doi:10.1137/070700231
-
Barrett, J. W., Garcke, H. & Nürnberg, R. 2008 Parametric approximation of Willmore flow and related geometric evolution equations. SIAM J. Sci. Comput. 31, 225-253. (doi:10.1137/070700231)
-
(2008)
SIAM J. Sci. Comput.
, vol.31
, pp. 225-253
-
-
Barrett, J.W.1
Garcke, H.2
Nürnberg, R.3
-
12
-
-
52049116961
-
Modeling cellular deformations using the level set formalism
-
doi:10.1186/1752-0509-2-68
-
Yang, L., Effler, J., Kutscher, B., Sullivan, S., Robinson, D. & Iglesias, P. 2008 Modeling cellular deformations using the level set formalism. BMC Syst. Biol. 2, 68. (doi:10.1186/1752-0509-2-68)
-
(2008)
BMC Syst. Biol.
, vol.2
, pp. 68
-
-
Yang, L.1
Effler, J.2
Kutscher, B.3
Sullivan, S.4
Robinson, D.5
Iglesias, P.6
-
13
-
-
77954817052
-
A multigrid finite element method for reaction-diffusion systems on surfaces
-
doi:10.1007/s00791-010-0136-2
-
Landsberg, C. & Voigt, A. 2010 A multigrid finite element method for reaction-diffusion systems on surfaces. Comput. Vis. Sci. 13, 177-185. (doi:10.1007/s00791-010-0136-2)
-
(2010)
Comput. Vis. Sci.
, vol.13
, pp. 177-185
-
-
Landsberg, C.1
Voigt, A.2
-
14
-
-
42449090766
-
Eulerian finite element method for parabolic PDEs on implicit surfaces
-
Dziuk, G. & Elliott, C. M. 2008 Eulerian finite element method for parabolic PDEs on implicit surfaces. Interfaces Free Boundaries 10, 464.
-
(2008)
Interfaces Free Boundaries
, vol.10
, pp. 464
-
-
Dziuk, G.1
Elliott, C.M.2
-
15
-
-
83755195640
-
The Voronoi implicit interface method for computing multiphase physics
-
doi:10.1073/pnas.1111557108
-
Saye, R. I. & Sethian, J. A. 2011 The Voronoi implicit interface method for computing multiphase physics. Proc. Natl Acad. Sci. USA 108, 19 498-19 503. (doi:10.1073/pnas.1111557108)
-
(2011)
Proc. Natl Acad. Sci. USA
, vol.108
, pp. 19498-19503
-
-
Saye, R.I.1
Sethian, J.A.2
-
16
-
-
78149252825
-
Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell
-
doi:10.1039/c0ib00047g
-
Neilson, M. P., Mackenzie, J. A.,Webb, S. D. & Insall, R. H. 2010 Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell. Integr. Biol. 2, 687-695. (doi:10.1039/c0ib00047g)
-
(2010)
Integr. Biol.
, vol.2
, pp. 687-695
-
-
Neilson, M.P.1
Mackenzie, J.A.2
Webb, S.D.3
Insall, R.H.4
-
17
-
-
77952955309
-
Understanding eukaryotic chemotaxis: A pseudopod-centred view
-
doi:10.1038/nrm2905
-
Insall, R. H. 2010 Understanding eukaryotic chemotaxis: a pseudopod-centred view. Nat. Rev. Mol. Cell Biol. 11, 453-458. (doi:10.1038/nrm2905)
-
(2010)
Nat. Rev. Mol. Cell Biol.
, vol.11
, pp. 453-458
-
-
Insall, R.H.1
-
18
-
-
44349186015
-
Mechanism of shape determination in motile cells
-
doi:10.1038/nature06952
-
Keren, K., Pincus, Z., Allen, G. M., Barnhart, E. L., Marriott, G., Mogilner, A. & Theriot, J. A. 2008 Mechanism of shape determination in motile cells. Nature 453, 475-480. (doi:10.1038/nature06952)
-
(2008)
Nature
, vol.453
, pp. 475-480
-
-
Keren, K.1
Pincus, Z.2
Allen, G.M.3
Barnhart, E.L.4
Marriott, G.5
Mogilner, A.6
Theriot, J.A.7
-
20
-
-
80054984371
-
Modeling Parr-Mark pattern formation during the early development of amago trout
-
doi:10.1103/PhysRevE.84.041923.
-
Venkataraman, C., Sekimura, T., Gaffney, E. A., Maini, P. K. & Madzvamuse, A.2011 Modeling Parr-Mark pattern formation during the early development of amago trout. Phys. Rev. E 84, 041 923. (doi:10.1103/PhysRevE.84. 041923).
-
(2011)
Phys. Rev. E
, vol.84
, pp. 041923
-
-
Venkataraman, C.1
Sekimura, T.2
Gaffney, E.A.3
Maini, P.K.4
Madzvamuse, A.5
-
21
-
-
81255134464
-
The surface finite element method for pattern formation on evolving biological surfaces
-
doi:10.1007/s00285-011-0401-0
-
Barreira, R., Elliott, C. M.&Madzvamuse, A. 2011 The surface finite element method for pattern formation on evolving biological surfaces. J. Math. Biol. 63, 1095-1119. (doi:10.1007/s00285-011-0401-0)
-
(2011)
J. Math. Biol.
, vol.63
, pp. 1095-1119
-
-
Barreira, R.1
Elliott, C.M.2
Madzvamuse, A.3
-
22
-
-
77956336109
-
Computational model for cell morphodynamics
-
doi:10.1103/PhysRevLett.105.108104
-
Shao, D., Rappel, W. J. & Levine, H. 2010 Computational model for cell morphodynamics. Phys. Rev. Lett. 105, 108 104. (doi:10.1103/PhysRevLett. 105.108104)
-
(2010)
Phys. Rev. Lett.
, vol.105
, pp. 108104
-
-
Shao, D.1
Rappel, W.J.2
Levine, H.3
-
23
-
-
34547738614
-
Possible roles of the endocytic cycle in cell motility
-
doi:10.1242/jcs.007732
-
Traynor, D. & Robert Kay, R. 2007 Possible roles of the endocytic cycle in cell motility. J. Cell Sci. 120, 2318-2327. (doi:10.1242/jcs.007732).
-
(2007)
J. Cell Sci.
, vol.120
, pp. 2318-2327
-
-
Traynor, D.1
Robert Kay, R.2
-
24
-
-
33748933359
-
Transport of a 1D viscoelastic actin-myosin strip of gel as a model of a crawling cell
-
DOI 10.1016/j.physa.2006.05.008, PII S0378437106005905
-
Larripa, K. & Mogilner, A. 2006 Transport of a 1d viscoelastic actin-myosin strip of gel as a model of a crawling cell. Phys. A Stat. Mech. Appl. 372, 113-123. (Pubitemid 44436777)
-
(2006)
Physica A: Statistical Mechanics and its Applications
, vol.372
, Issue.1 SPEC. ISS.
, pp. 113-123
-
-
Larripa, K.1
Mogilner, A.2
-
25
-
-
19844369196
-
Computation of geometric partial differential equations and mean curvature flow
-
doi:10.1017/S0962492904000224
-
Deckelnick, K., Dziuk, G. & Elliott, C. M. 2005 Computation of geometric partial differential equations and mean curvature flow. Acta Numer. 14, 139-232. (doi:10.1017/S0962492904000224)
-
(2005)
Acta Numer.
, vol.14
, pp. 139-232
-
-
Deckelnick, K.1
Dziuk, G.2
Elliott, C.M.3
-
26
-
-
84943997802
-
Elastic properties of lipid bilayers: Theory and possible experiments
-
Helfrich, W. 1973 Elastic properties of lipid bilayers: theory and possible experiments. Z. Naturforsch. 28, 693-703.
-
(1973)
Z. Naturforsch.
, vol.28
, pp. 693-703
-
-
Helfrich, W.1
-
28
-
-
0000789992
-
An algorithm for evolutionary surfaces
-
doi:10.1007/BF01385643
-
Dziuk, G. 1990 An algorithm for evolutionary surfaces. Numer. Math. 58, 603-611. (doi:10.1007/BF01385643)
-
(1990)
Numer. Math.
, vol.58
, pp. 603-611
-
-
Dziuk, G.1
-
29
-
-
84868381356
-
L2-estimates for the evolving surface finite element method
-
In press
-
Dziuk, G. & Elliott, C. M. In press. L2-estimates for the evolving surface finite element method. Math. Comp.
-
Math. Comp.
-
-
Dziuk, G.1
Elliott, C.M.2
-
30
-
-
77954144568
-
Modeling and computation of two phase geometric biomembranes using surface finite elements
-
doi:10.1016/j.jcp.2010.05.014
-
Elliott, C. M. & Stinner, B. 2010 Modeling and computation of two phase geometric biomembranes using surface finite elements. J. Comput. Phys. 229, 6585-6612. (doi:10.1016/j.jcp.2010.05.014)
-
(2010)
J. Comput. Phys.
, vol.229
, pp. 6585-6612
-
-
Elliott, C.M.1
Stinner, B.2
-
31
-
-
84874220013
-
Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements
-
In press
-
Elliott, C. M. & Stinner, B. In press. Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Commun. Comput. Phys.
-
Commun. Comput. Phys.
-
-
Elliott, C.M.1
Stinner, B.2
-
33
-
-
54249170447
-
Computational parametric Willmore flow
-
doi:10.1007/s00211-008-0179-1
-
Dziuk, G. 2008 Computational parametric Willmore flow. Numer. Math. 111, 55-80. (doi:10.1007/s00211-008-0179-1)
-
(2008)
Numer. Math.
, vol.111
, pp. 55-80
-
-
Dziuk, G.1
-
35
-
-
2942653250
-
Algorithm 832: UMFPACK v. 4.3 - An unsymmetric-pattern multifrontal method
-
doi:10.1145/ 992200.992206
-
Davis, T. A. 2004 Algorithm 832: UMFPACK v. 4.3 - an unsymmetric-pattern multifrontal method. ACM Trans. Math. Softw. 30, 196-199. (doi:10.1145/ 992200.992206)
-
(2004)
ACM Trans. Math. Softw.
, vol.30
, pp. 196-199
-
-
Davis, T.A.1
-
36
-
-
0032823984
-
Orientation of chemotactic cells and growth cones: Models and mechanisms
-
Meinhardt, H. 1999 Orientation of chemotactic cells and growth cones: models and mechanisms. J. Cell Sci. 112, 2867-2874. (Pubitemid 29430032)
-
(1999)
Journal of Cell Science
, vol.112
, Issue.17
, pp. 2867-2874
-
-
Meinhardt, H.1
-
37
-
-
79958046951
-
Chemotaxis: A feedback-based computational model robustly predicts multiple aspects of real cell behaviour
-
doi:10.1371/journal.pbio.1000618
-
Neilson, M. P., Veltman, D. M., van Haastert, P. J. M., Webb, S. D., Mackenzie, J. A. & Insall, R. H. 2011 Chemotaxis: a feedback-based computational model robustly predicts multiple aspects of real cell behaviour. PLoS Biol. 9, e1000618. (doi:10.1371/journal.pbio.1000618)
-
(2011)
PLoS Biol.
, vol.9
-
-
Neilson, M.P.1
Veltman, D.M.2
Van Haastert, P.J.M.3
Webb, S.D.4
Mackenzie, J.A.5
Insall, R.H.6
-
38
-
-
84929402247
-
-
Amarasinghe, D. P., Aylwin, A., Madhavan, P. & Pettitt, C. 2011 Biomembranes report.
-
(2011)
Biomembranes Report
-
-
Amarasinghe, D.P.1
Aylwin, A.2
Madhavan, P.3
Pettitt, C.4
-
39
-
-
79959836579
-
Activated membrane patches guide chemotactic cell motility
-
doi:10.1371/journal.pcbi.1002044
-
Hecht, I., Skoge, M. L., Charest, P. G., Ben-Jacob, E., Firtel, R. A., Loomis, W. F., Levine, H. & Rappel, W. J. 2011 Activated membrane patches guide chemotactic cell motility. PLoS Comput. Biol. 7, e1002044. (doi:10.1371/journal.pcbi.1002044)
-
(2011)
PLoS Comput. Biol.
, vol.7
-
-
Hecht, I.1
Skoge, M.L.2
Charest, P.G.3
Ben-Jacob, E.4
Firtel, R.A.5
Loomis, W.F.6
Levine, H.7
Rappel, W.J.8
-
40
-
-
34249810035
-
A hydrogel-based microfluidic device for the studies of directed cell migration
-
doi:10.1039/b618463d
-
Cheng, S. Y., Heilman, S., Wasserman, M., Archer, S., Shuler, M. L. & Wu, M. 2007 A hydrogel-based microfluidic device for the studies of directed cell migration. Lab. Chip 7, 763-769. (doi:10.1039/b618463d)
-
(2007)
Lab. Chip
, vol.7
, pp. 763-769
-
-
Cheng, S.Y.1
Heilman, S.2
Wasserman, M.3
Archer, S.4
Shuler, M.L.5
Wu, M.6
-
41
-
-
0015256567
-
Analysis of individual leucocyte behavior during chemotaxis
-
doi:10.1016/0014-4827(72)90190-5
-
Ramsey, W. S. 1972 Analysis of individual leucocyte behavior during chemotaxis. Exp. Cell Res. 70, 129-139. (doi:10.1016/0014-4827(72)90190-5)
-
(1972)
Exp. Cell Res.
, vol.70
, pp. 129-139
-
-
Ramsey, W.S.1
-
42
-
-
69949160350
-
Navigation of chemotactic cells by parallel signaling to pseudopod persistence and orientation
-
doi:10.1371/journal.pone.0006842
-
Bosgraaf, L. & Van Haastert, P. J. M. 2009 Navigation of chemotactic cells by parallel signaling to pseudopod persistence and orientation. PLoS ONE 4, e6842. (doi:10.1371/journal.pone.0006842)
-
(2009)
PLoS ONE
, vol.4
-
-
Bosgraaf, L.1
Van Haastert, P.J.M.2
-
43
-
-
79961133764
-
'self-assisted' amoeboid navigation in complex environments
-
doi:10.1371/journal.pone.0021955
-
Hecht, I., Levine, H., Rappel, W. J. & Ben-Jacob, E. 2011 'self-assisted' amoeboid navigation in complex environments. PLoS ONE 6, e21955. (doi:10.1371/journal.pone.0021955)
-
(2011)
PLoS ONE
, vol.6
-
-
Hecht, I.1
Levine, H.2
Rappel, W.J.3
Ben-Jacob, E.4
-
44
-
-
33847683383
-
Directed cell migration in the presence of obstacles
-
doi:10.1186/1742-4682-4-2
-
Grima, R. 2007 Directed cell migration in the presence of obstacles. Theor. Biol. Med. Model. 4, 2. (doi:10.1186/1742-4682-4-2)
-
(2007)
Theor. Biol. Med. Model.
, vol.4
, pp. 2
-
-
Grima, R.1
-
45
-
-
61449230736
-
Analysis of cell movement by simultaneous quantification of local membrane displacement and fluorescent intensities using quimp2
-
doi:10.1002/cm.20338
-
Bosgraaf, L., Van Haastert, P. J. M. & Bretschneider, T. 2009 Analysis of cell movement by simultaneous quantification of local membrane displacement and fluorescent intensities using quimp2. Cell Motil. Cytoskeleton 66, 156-165. (doi:10.1002/cm.20338)
-
(2009)
Cell Motil. Cytoskeleton
, vol.66
, pp. 156-165
-
-
Bosgraaf, L.1
Van Haastert, P.J.M.2
Bretschneider, T.3
-
46
-
-
0037459075
-
Cellular motility driven by assembly and disassembly of actin filaments
-
doi:10.1016/S0092-8674(03)00120-X
-
Pollard, T. D. & Borisy, G. G. 2003 Cellular motility driven by assembly and disassembly of actin filaments. Cell 112, 453-465. (doi:10.1016/S0092-8674(03)00120-X)
-
(2003)
Cell
, vol.112
, pp. 453-465
-
-
Pollard, T.D.1
Borisy, G.G.2
-
47
-
-
36849102494
-
Symmetry-breaking instabilities in dissipative systems II
-
doi:10.1063/1.1668896
-
Lefever, R. & Prigogine, I. 1968 Symmetry-breaking instabilities in dissipative systems II. J. Chem. Phys. 48, 1695-1700. (doi:10.1063/1.1668896)
-
(1968)
J. Chem. Phys.
, vol.48
, pp. 1695-1700
-
-
Lefever, R.1
Prigogine, I.2
-
48
-
-
84855251309
-
Global existence for semilinear reaction-diffusion systems on evolving domains
-
doi:10.1007/s00285-011-0404-x.
-
Venkataraman, C., Lakkis, O. & Madzvamuse, A. 2012 Global existence for semilinear reaction-diffusion systems on evolving domains. J. Math. Biol. 64, 41-67. (doi:10.1007/s00285-011-0404-x).
-
(2012)
J. Math. Biol.
, vol.64
, pp. 41-67
-
-
Venkataraman, C.1
Lakkis, O.2
Madzvamuse, A.3
|