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Volumn 71, Issue 5, 2009, Pages 1117-1147

Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis

Author keywords

Cell sorting; Continuous model; Dictyostelium; Differential chemotaxis; Morphogenesis

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; CELL MOTION; CHEMOTAXIS; CYTOLOGY; DICTYOSTELIUM; GROWTH, DEVELOPMENT AND AGING; MATHEMATICAL PHENOMENA; MORPHOGENESIS; PHYSIOLOGY;

EID: 67651113652     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-009-9396-8     Document Type: Article
Times cited : (104)

References (57)
  • 1
    • 0019188958 scopus 로고
    • Biased random walk model for chemotaxis and related diffusion approximation
    • W. Alt 1980 Biased random walk model for chemotaxis and related diffusion approximation J. Math. Biol. 9 147 177
    • (1980) J. Math. Biol. , vol.9 , pp. 147-177
    • Alt, W.1
  • 3
    • 11144223026 scopus 로고    scopus 로고
    • A new interpretation of the Keller-Segel model based on multiphase modelling
    • H. Byrne M. Owen 2004 A new interpretation of the Keller-Segel model based on multiphase modelling J. Math. Biol. 49 604 626
    • (2004) J. Math. Biol. , vol.49 , pp. 604-626
    • Byrne, H.1    Owen, M.2
  • 4
    • 21044450377 scopus 로고    scopus 로고
    • Novel brain wiring functions for classical morphogens: A role as graded positional cues in axon guidance
    • F. Charron M. Tessier-Lavigne 2005 Novel brain wiring functions for classical morphogens: a role as graded positional cues in axon guidance Development 132 2251 2262
    • (2005) Development , vol.132 , pp. 2251-2262
    • Charron, F.1    Tessier-Lavigne, M.2
  • 5
    • 28444472417 scopus 로고    scopus 로고
    • The great escape: When cancer cells hijack the genes for chemotaxis and motility
    • J. Condeelis R. Singer J. Segall 2005 The great escape: when cancer cells hijack the genes for chemotaxis and motility Annu. Rev. Cell Dev. Biol. 21 695 718
    • (2005) Annu. Rev. Cell Dev. Biol. , vol.21 , pp. 695-718
    • Condeelis, J.1    Singer, R.2    Segall, J.3
  • 6
    • 4544373286 scopus 로고    scopus 로고
    • How cellular movement determines the collective force generated by the Dictyostelium discoideum slug
    • J. Dallon H. Othmer 2004 How cellular movement determines the collective force generated by the Dictyostelium discoideum slug J. Theor. Biol. 231 203 222
    • (2004) J. Theor. Biol. , vol.231 , pp. 203-222
    • Dallon, J.1    Othmer, H.2
  • 7
    • 33745600126 scopus 로고    scopus 로고
    • Chemotactic cell movement during Dictyostelium development and gastrulation
    • D. Dormann C. Weijer 2006 Chemotactic cell movement during Dictyostelium development and gastrulation Curr. Opin. Genet. Dev. 16 367 373
    • (2006) Curr. Opin. Genet. Dev. , vol.16 , pp. 367-373
    • Dormann, D.1    Weijer, C.2
  • 8
    • 0028856336 scopus 로고
    • Evidence for positional differentiation of prestalk cells and for a morphogenetic gradient in Dictyostelium
    • A. Early T. Abe J. Williams 1995 Evidence for positional differentiation of prestalk cells and for a morphogenetic gradient in Dictyostelium Cell 83 91 99
    • (1995) Cell , vol.83 , pp. 91-99
    • Early, A.1    Abe, T.2    Williams, J.3
  • 9
    • 34248193236 scopus 로고    scopus 로고
    • A model for cell type localization in the migrating slug of Dictyostelium discoideum based on differential chemotactic sensitivity to cAMP and differential sensitivity to suppression of chemotaxis by ammonia
    • I. Feit J. Pawlikowski C. Zawilski 2007 A model for cell type localization in the migrating slug of Dictyostelium discoideum based on differential chemotactic sensitivity to cAMP and differential sensitivity to suppression of chemotaxis by ammonia J. Biosci. 32 329 338
    • (2007) J. Biosci. , vol.32 , pp. 329-338
    • Feit, I.1    Pawlikowski, J.2    Zawilski, C.3
  • 10
    • 5444244871 scopus 로고    scopus 로고
    • Cadherin-mediated cell-cell adhesion and tissue segregation in relation to malignancy
    • R.A. Foty M.S. Steinberg 2004 Cadherin-mediated cell-cell adhesion and tissue segregation in relation to malignancy Int. J. Dev. Biol. 48 397 409
    • (2004) Int. J. Dev. Biol. , vol.48 , pp. 397-409
    • Foty, R.A.1    Steinberg, M.S.2
  • 11
    • 0033952145 scopus 로고    scopus 로고
    • The biology of cell locomotion within three-dimensional extracellular matrix
    • DOI 10.1007/s000180050498
    • P. Friedl E.B. Brocker 2000 The biology of cell locomotion within three-dimensional extracellular matrix Cell Mol. Life Sci. 57 41 64 (Pubitemid 30105329)
    • (2000) Cellular and Molecular Life Sciences , vol.57 , Issue.1 , pp. 41-64
    • Friedl, P.1    Brocker, E.-B.2
  • 12
    • 0029751950 scopus 로고    scopus 로고
    • A reaction-diffusion model of cancer invasion
    • R. Gatenby E. Gawlinski 1996 A reaction-diffusion model of cancer invasion Cancer Res. 56 5745 5753
    • (1996) Cancer Res. , vol.56 , pp. 5745-5753
    • Gatenby, R.1    Gawlinski, E.2
  • 13
    • 38649104788 scopus 로고    scopus 로고
    • Mathematical modelling of cancer cell invasion of tissue: Local and non-local models and the effect of adhesion
    • A. Gerisch M. Chaplain 2007 Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion J. Theor. Biol. 250 684 704
    • (2007) J. Theor. Biol. , vol.250 , pp. 684-704
    • Gerisch, A.1    Chaplain, M.2
  • 14
    • 0000825469 scopus 로고
    • Simulation of the differential adhesion driven rearrangement of biological cells
    • J.A. Glazier F. Graner 1993 Simulation of the differential adhesion driven rearrangement of biological cells Phys. Rev. E 47 3 2128 2154
    • (1993) Phys. Rev. e , vol.47 , Issue.3 , pp. 2128-2154
    • Glazier, J.A.1    Graner, F.2
  • 15
    • 0032875460 scopus 로고    scopus 로고
    • Mechanism of action and in vivo role of platelet-derived growth factor
    • C.-H. Heldin B. Westermark. 1999 Mechanism of action and in vivo role of platelet-derived growth factor Physiol. Rev. 79 1283 1316
    • (1999) Physiol. Rev. , vol.79 , pp. 1283-1316
    • Heldin, C.-H.1    Westermark, B.2
  • 16
    • 0036057673 scopus 로고    scopus 로고
    • Hyperbolic models for chemosensitive movement
    • T. Hillen 2002 Hyperbolic models for chemosensitive movement Math. Models Methods Appl. Sci. 12 7 1007 1034
    • (2002) Math. Models Methods Appl. Sci. , vol.12 , Issue.7 , pp. 1007-1034
    • Hillen, T.1
  • 17
    • 0001404830 scopus 로고    scopus 로고
    • A parabolic model with bounded chemotaxis-prevention of overcrowding
    • T. Hillen K. Painter 2001 A parabolic model with bounded chemotaxis-prevention of overcrowding Adv. Appl. Math. 26 280 301
    • (2001) Adv. Appl. Math. , vol.26 , pp. 280-301
    • Hillen, T.1    Painter, K.2
  • 18
    • 63049107118 scopus 로고    scopus 로고
    • A user's guide to PDE models for chemotaxis
    • T. Hillen K.J. Painter 2009 A user's guide to PDE models for chemotaxis J. Math. Biol. 58 183 217
    • (2009) J. Math. Biol. , vol.58 , pp. 183-217
    • Hillen, T.1    Painter, K.J.2
  • 19
    • 0028987613 scopus 로고
    • Dictyostelium discoideum: Cellular self-organisation in an excitable biological medium
    • T. Höfer J. Sherratt P. Maini 1995 Dictyostelium discoideum: cellular self-organisation in an excitable biological medium Proc. R. Soc. Lond. B 259 249 257
    • (1995) Proc. R. Soc. Lond. B , vol.259 , pp. 249-257
    • Höfer, T.1    Sherratt, J.2    Maini, P.3
  • 20
    • 0014748565 scopus 로고
    • Initiation of slime mold aggregation viewed as an instability
    • E. Keller L. Segel 1970 Initiation of slime mold aggregation viewed as an instability J. Theor. Biol. 26 399 415
    • (1970) J. Theor. Biol. , vol.26 , pp. 399-415
    • Keller, E.1    Segel, L.2
  • 22
    • 5444221200 scopus 로고    scopus 로고
    • Breaking symmetries: Regulation of Dictyostelium development through chemoattractant and morphogen signal-response
    • A. Kimmel R. Firtel 2004 Breaking symmetries: regulation of Dictyostelium development through chemoattractant and morphogen signal-response Curr. Opin. Genet. Dev. 14 540 549
    • (2004) Curr. Opin. Genet. Dev. , vol.14 , pp. 540-549
    • Kimmel, A.1    Firtel, R.2
  • 23
    • 0034181948 scopus 로고    scopus 로고
    • Signaling pathways induced by vascular endothelial growth factor (review)
    • B. Larrivee A. Karsan 2000 Signaling pathways induced by vascular endothelial growth factor (review) Int. J. Mol. Med. 5 447 456
    • (2000) Int. J. Mol. Med. , vol.5 , pp. 447-456
    • Larrivee, B.1    Karsan, A.2
  • 24
    • 0030045346 scopus 로고    scopus 로고
    • Cell migration: A physically integrated molecular process
    • D. Lauffenburger A. Horwitz 1996 Cell migration: a physically integrated molecular process Cell 84 359 369
    • (1996) Cell , vol.84 , pp. 359-369
    • Lauffenburger, D.1    Horwitz, A.2
  • 25
    • 0038645352 scopus 로고    scopus 로고
    • Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: Is there a connection?
    • M. Luca A. Chavez-Ross L. Edelstein-Keshet A. Mogilner 2003 Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: is there a connection? Bull. Math. Biol. 65 693 730
    • (2003) Bull. Math. Biol. , vol.65 , pp. 693-730
    • Luca, M.1    Chavez-Ross, A.2    Edelstein-Keshet, L.3    Mogilner, A.4
  • 26
    • 0018332767 scopus 로고
    • Chemotactic cell sorting in Dictyostelium discoideum
    • S. Matsukuma A. Durston 1979 Chemotactic cell sorting in Dictyostelium discoideum J. Embryol. Exp. Morphol. 50 243 251
    • (1979) J. Embryol. Exp. Morphol. , vol.50 , pp. 243-251
    • Matsukuma, S.1    Durston, A.2
  • 27
    • 33745597349 scopus 로고    scopus 로고
    • The social lives of migrating cells in Drosophila
    • D. Montell 2006 The social lives of migrating cells in Drosophila Curr. Opin. Genet. Dev. 16 374 383
    • (2006) Curr. Opin. Genet. Dev. , vol.16 , pp. 374-383
    • Montell, D.1
  • 28
    • 4944244259 scopus 로고    scopus 로고
    • Mechanisms regulating the recruitment of macrophages into hypoxic areas of tumors and other ischemic tissues
    • C. Murdoch A. Giannoudis C. Lewis 2004 Mechanisms regulating the recruitment of macrophages into hypoxic areas of tumors and other ischemic tissues Blood 104 2224 2234
    • (2004) Blood , vol.104 , pp. 2224-2234
    • Murdoch, C.1    Giannoudis, A.2    Lewis, C.3
  • 29
    • 0038748330 scopus 로고    scopus 로고
    • On the mechanochemical theory of biological pattern formation with application to vasculogenesis
    • J. Murray 2003 On the mechanochemical theory of biological pattern formation with application to vasculogenesis C.R. Biol. 326 239 252
    • (2003) C.R. Biol. , vol.326 , pp. 239-252
    • Murray, J.1
  • 30
    • 0028215280 scopus 로고
    • Rearrangement of epithelial cell types in an insect wing monolayer is accompanied by differential expression of a cell surface protein
    • J. Nardi 1994 Rearrangement of epithelial cell types in an insect wing monolayer is accompanied by differential expression of a cell surface protein Dev. Dyn. 199 315 325
    • (1994) Dev. Dyn. , vol.199 , pp. 315-325
    • Nardi, J.1
  • 31
  • 32
    • 0031207030 scopus 로고    scopus 로고
    • Aggregation, blowup and collapse: The ABC's of generalized taxis
    • H. Othmer A. Stevens 1997 Aggregation, blowup and collapse: the ABC's of generalized taxis SIAM J. Appl. Math. 57 1044 1081
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1044-1081
    • Othmer, H.1    Stevens, A.2
  • 33
    • 0023746235 scopus 로고
    • Models of dispersal in biological systems
    • H. Othmer S. Dunbar W. Alt 1988 Models of dispersal in biological systems J. Math. Biol. 26 263 298
    • (1988) J. Math. Biol. , vol.26 , pp. 263-298
    • Othmer, H.1    Dunbar, S.2    Alt, W.3
  • 34
    • 0242298212 scopus 로고    scopus 로고
    • Modelling the movement of interacting cell populations
    • K. Painter J.A. Sherratt 2003 Modelling the movement of interacting cell populations J. Theor. Biol. 225 325 337
    • (2003) J. Theor. Biol. , vol.225 , pp. 325-337
    • Painter, K.1    Sherratt, J.A.2
  • 35
    • 0034304765 scopus 로고    scopus 로고
    • Development and applications of a model for cellular response to multiple chemotactic cues
    • K. Painter P. Maini H. Othmer 2000 Development and applications of a model for cellular response to multiple chemotactic cues J. Math. Biol. 41 285 314
    • (2000) J. Math. Biol. , vol.41 , pp. 285-314
    • Painter, K.1    Maini, P.2    Othmer, H.3
  • 36
    • 4944248574 scopus 로고    scopus 로고
    • Volume-filling and quorum-sensing in models for chemosensitive movement
    • K.J. Painter T. Hillen 2002 Volume-filling and quorum-sensing in models for chemosensitive movement Can. Appl. Math. Q. 10 501 544
    • (2002) Can. Appl. Math. Q. , vol.10 , pp. 501-544
    • Painter, K.J.1    Hillen, T.2
  • 37
    • 0034641740 scopus 로고    scopus 로고
    • A model for individual and collective cell movement in Dictyostelium discoideum
    • E. Palsson H. Othmer 2000 A model for individual and collective cell movement in Dictyostelium discoideum Proc. Natl. Acad. Sci. USA 97 10448 10453
    • (2000) Proc. Natl. Acad. Sci. USA , vol.97 , pp. 10448-10453
    • Palsson, E.1    Othmer, H.2
  • 38
    • 0023043775 scopus 로고
    • Differentiation, cell sorting and proportion regulation in the slug stage of Dictyostelium discoideum
    • E. Pate H. Othmer 1986 Differentiation, cell sorting and proportion regulation in the slug stage of Dictyostelium discoideum J. Theor. Biol. 118 3 301 319
    • (1986) J. Theor. Biol. , vol.118 , Issue.3 , pp. 301-319
    • Pate, E.1    Othmer, H.2
  • 39
    • 51249193541 scopus 로고
    • Random walk with persistence and external bias
    • C. Patlak 1953 Random walk with persistence and external bias Bull. Math. Biophys. 15 311 338
    • (1953) Bull. Math. Biophys. , vol.15 , pp. 311-338
    • Patlak, C.1
  • 40
    • 33746385819 scopus 로고    scopus 로고
    • Wavefront propagation in a competition equation with a new motility term modelling contact inhibition between cell populations
    • J.A. Sherratt 2000 Wavefront propagation in a competition equation with a new motility term modelling contact inhibition between cell populations Proc. R. Soc. Lond. A 456 2365 2386
    • (2000) Proc. R. Soc. Lond. A , vol.456 , pp. 2365-2386
    • Sherratt, J.A.1
  • 41
    • 0026773381 scopus 로고
    • Oncogenes, anti-oncogenes and the immune response to cancer
    • J.A. Sherratt M.A. Nowak 1992 Oncogenes, anti-oncogenes and the immune response to cancer Proc. R. Soc. Lond. B 248 261 272
    • (1992) Proc. R. Soc. Lond. B , vol.248 , pp. 261-272
    • Sherratt, J.A.1    Nowak, M.A.2
  • 42
    • 33750443228 scopus 로고    scopus 로고
    • Looking inside an invasion wave of cells using continuum models: Proliferation is the key
    • M.J. Simpson K.A. Landman B.D. Hughes D. Newgreen 2006 Looking inside an invasion wave of cells using continuum models: proliferation is the key J. Theor. Biol. 243 343 360
    • (2006) J. Theor. Biol. , vol.243 , pp. 343-360
    • Simpson, M.J.1    Landman, K.A.2    Hughes, B.D.3    Newgreen, D.4
  • 43
    • 34547814216 scopus 로고    scopus 로고
    • Differential adhesion in morphogenesis: A modern view
    • M.S. Steinberg 2007 Differential adhesion in morphogenesis: a modern view Curr. Opin. Gen. Dev. 17 281 286
    • (2007) Curr. Opin. Gen. Dev. , vol.17 , pp. 281-286
    • Steinberg, M.S.1
  • 44
    • 84961184728 scopus 로고
    • Directed movements and selective adhesion of embryonic amphibian cells
    • P. Townes J. Holtfreter 1955 Directed movements and selective adhesion of embryonic amphibian cells J. Exp. Zool. 128 53 120
    • (1955) J. Exp. Zool. , vol.128 , pp. 53-120
    • Townes, P.1    Holtfreter, J.2
  • 46
    • 0033112265 scopus 로고    scopus 로고
    • Model and analysis of chemotactic bacterial patterns in a liquid medium
    • R. Tyson S. Lubkin J. Murray 1999 Model and analysis of chemotactic bacterial patterns in a liquid medium J. Math. Biol. 38 359 375
    • (1999) J. Math. Biol. , vol.38 , pp. 359-375
    • Tyson, R.1    Lubkin, S.2    Murray, J.3
  • 47
    • 0039262033 scopus 로고
    • A thermodynamical model of cell distributions in the slug of cellular slime mold
    • T. Umeda 1993 A thermodynamical model of cell distributions in the slug of cellular slime mold Bull. Math. Biol. 55 451 464
    • (1993) Bull. Math. Biol. , vol.55 , pp. 451-464
    • Umeda, T.1
  • 48
    • 0040032696 scopus 로고    scopus 로고
    • Theoretical model for morphogenesis and cell sorting in Dictyosteilium discoideum
    • T. Umeda K. Inouye 1999 Theoretical model for morphogenesis and cell sorting in Dictyosteilium discoideum Physica D 126 189 200
    • (1999) Physica D , vol.126 , pp. 189-200
    • Umeda, T.1    Inouye, K.2
  • 49
    • 0344120665 scopus 로고    scopus 로고
    • Cell sorting by differential cell motility: A model for pattern formation in Dictyostelium
    • T. Umeda K. Inouye 2004 Cell sorting by differential cell motility: A model for pattern formation in Dictyostelium J. Theor. Biol. 226 215 224
    • (2004) J. Theor. Biol. , vol.226 , pp. 215-224
    • Umeda, T.1    Inouye, K.2
  • 50
    • 0032990060 scopus 로고    scopus 로고
    • Modeling chemotactic cell sorting during Dictyostelium discoideum mound formation
    • B. Vasiev C. Weijer 1999 Modeling chemotactic cell sorting during Dictyostelium discoideum mound formation Biophys. J. 76 595 605
    • (1999) Biophys. J. , vol.76 , pp. 595-605
    • Vasiev, B.1    Weijer, C.2
  • 51
    • 34250712338 scopus 로고    scopus 로고
    • Macrophage-based anti-cancer therapy: Modelling different modes of tumour targeting
    • S. Webb M. Owen H. Byrne C. Murdoch C. Lewis 2007 Macrophage-based anti-cancer therapy: modelling different modes of tumour targeting Bull. Math. Biol. 69 1747 1776
    • (2007) Bull. Math. Biol. , vol.69 , pp. 1747-1776
    • Webb, S.1    Owen, M.2    Byrne, H.3    Murdoch, C.4    Lewis, C.5
  • 52
    • 0031269968 scopus 로고    scopus 로고
    • Rowmap-a row-code with Krylov techniques for large stiff odes
    • R. Weiner B. Schmitt H. Podhaisky 1997 Rowmap-a row-code with Krylov techniques for large stiff odes Appl. Numer. Math. 25 303 319
    • (1997) Appl. Numer. Math. , vol.25 , pp. 303-319
    • Weiner, R.1    Schmitt, B.2    Podhaisky, H.3
  • 53
    • 0014593403 scopus 로고
    • Positional information and the spatial pattern of cellular differentiation
    • L. Wolpert 1969 Positional information and the spatial pattern of cellular differentiation J. Theor. Biol. 25 1 47
    • (1969) J. Theor. Biol. , vol.25 , pp. 1-47
    • Wolpert, L.1
  • 55
    • 19644386779 scopus 로고    scopus 로고
    • Signaling mechanisms for regulation of chemotaxis
    • D. Wu 2005 Signaling mechanisms for regulation of chemotaxis Cell Res. 15 52 56
    • (2005) Cell Res. , vol.15 , pp. 52-56
    • Wu, D.1
  • 56
    • 0036746709 scopus 로고    scopus 로고
    • Cell movement patterns during gastrulation in the chick are controlled by positive and negative chemotaxis mediated by FGF4 and FGF8
    • X. Yang D. Dormann A. Münsterberg C. Weijer 2002 Cell movement patterns during gastrulation in the chick are controlled by positive and negative chemotaxis mediated by FGF4 and FGF8 Dev. Cell 3 425 437
    • (2002) Dev. Cell , vol.3 , pp. 425-437
    • Yang, X.1    Dormann, D.2    Münsterberg, A.3    Weijer, C.4
  • 57
    • 42549118076 scopus 로고    scopus 로고
    • Wnt3a-mediated chemorepulsion controls movement patterns of cardiac progenitors and requires RhoA function
    • Q. Yue L. Wagstaff X. Yang C. Weijer A. Münsterberg 2008 Wnt3a-mediated chemorepulsion controls movement patterns of cardiac progenitors and requires RhoA function Development 135 1029 1037
    • (2008) Development , vol.135 , pp. 1029-1037
    • Yue, Q.1    Wagstaff, L.2    Yang, X.3    Weijer, C.4    Münsterberg, A.5


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