메뉴 건너뛰기




Volumn 55, Issue 4, 2007, Pages 449-480

Travelling-wave behaviour in a multiphase model of a population of cells in an artificial scaffold

Author keywords

[No Author keywords available]

Indexed keywords

BIOMATERIAL; WATER;

EID: 34548561530     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-007-0091-9     Document Type: Article
Times cited : (8)

References (27)
  • 1
    • 1642366388 scopus 로고    scopus 로고
    • Microcellular polyhipe polymer supports osteoblast growth and bone formation in vitro
    • Akay G., Birch M.A. and Bokhari M.A. (2004). Microcellular polyhipe polymer supports osteoblast growth and bone formation in vitro. Biomaterials 25: 3991-4000
    • (2004) Biomaterials , vol.25 , pp. 3991-4000
    • Akay, G.1    Birch, M.A.2    Bokhari, M.A.3
  • 3
    • 0842281982 scopus 로고    scopus 로고
    • Modelling solid tumour growth using the theory of mixtures
    • Byrne H. and Preziosi L. (2003). Modelling solid tumour growth using the theory of mixtures. Math. Med. Biol. 20: 341-366
    • (2003) Math. Med. Biol. , vol.20 , pp. 341-366
    • Byrne, H.1    Preziosi, L.2
  • 4
    • 0028696985 scopus 로고
    • Traveling waves in a tissue interaction-model for skin pattern-formation
    • Cruywagen G.C., Maini P.K. and Murray J.D. (1994). Traveling waves in a tissue interaction-model for skin pattern-formation. J. Math. Biol. 33: 193-210
    • (1994) J. Math. Biol. , vol.33 , pp. 193-210
    • Cruywagen, G.C.1    Maini, P.K.2    Murray, J.D.3
  • 5
    • 0031956939 scopus 로고    scopus 로고
    • Viscoelastic properties of living embryonic tissues: A quantitative study
    • Forgacs G., Foty R.A., Shafrir Y. and Steinberg M.S. (1998). Viscoelastic properties of living embryonic tissues: a quantitative study. Biophys. J. 74: 2227-2234
    • (1998) Biophys. J. , vol.74 , pp. 2227-2234
    • Forgacs, G.1    Foty, R.A.2    Shafrir, Y.3    Steinberg, M.S.4
  • 6
    • 0343145707 scopus 로고    scopus 로고
    • Analysis of cell growth in a polymer scaffold using a moving boundary approach
    • Galban C.J. and Locke B.R. (1997). Analysis of cell growth in a polymer scaffold using a moving boundary approach. Biotechnol. Bioeng. 56: 422-432
    • (1997) Biotechnol. Bioeng. , vol.56 , pp. 422-432
    • Galban, C.J.1    Locke, B.R.2
  • 7
    • 0242322435 scopus 로고    scopus 로고
    • Influence of type i collagen surface density on fibroblast spreading, motility, and contractility
    • Gaudet C., Marganski W.A., Kim S., Brown C.T., Gunderia V., Dembo M. and Wong J.Y. (2003). Influence of type I collagen surface density on fibroblast spreading, motility, and contractility. Biophys. J. 85: 3329-3335
    • (2003) Biophys. J. , vol.85 , pp. 3329-3335
    • Gaudet, C.1    Marganski, W.A.2    Kim, S.3    Brown, C.T.4    Gunderia, V.5    Dembo, M.6    Wong, J.Y.7
  • 8
    • 0035909945 scopus 로고    scopus 로고
    • Pattern formation and traveling waves in myxobacteria: Theory and modeling
    • Igoshin O.A., Mogilner A. and Welch R.D. (2001). Pattern formation and traveling waves in myxobacteria: theory and modeling. Proc. Natl. Acad. Sci. 98: 14913-14918
    • (2001) Proc. Natl. Acad. Sci. , vol.98 , pp. 14913-14918
    • Igoshin, O.A.1    Mogilner, A.2    Welch, R.D.3
  • 9
    • 33750608853 scopus 로고    scopus 로고
    • Challenges in tissue engineering
    • Ikada Y. (2006). Challenges in tissue engineering. J. Roy. Soc. Interface 3: 589-601
    • (2006) J. Roy. Soc. Interface , vol.3 , pp. 589-601
    • Ikada, Y.1
  • 10
    • 4744350838 scopus 로고    scopus 로고
    • Mathematical analysis of some multi-dimensional tissue-growth models
    • King J.R. and Franks S.J. (2004). Mathematical analysis of some multi-dimensional tissue-growth models. Eur. J. Appl. Math. 15: 273-295
    • (2004) Eur. J. Appl. Math. , vol.15 , pp. 273-295
    • King, J.R.1    Franks, S.J.2
  • 11
    • 0037340207 scopus 로고    scopus 로고
    • Mathematical models of cell colonization of uniformly growing domains
    • Landman K.A., Pettet G.J. and Newgreen D.F. (2003). Mathematical models of cell colonization of uniformly growing domains. Bull. Math. Biol. 65: 235-262
    • (2003) Bull. Math. Biol. , vol.65 , pp. 235-262
    • Landman, K.A.1    Pettet, G.J.2    Newgreen, D.F.3
  • 12
    • 0027595948 scopus 로고
    • Tissue engineering
    • Langer R. and Vacanti J.P. (1993). Tissue engineering. Science 260: 920-926
    • (1993) Science , vol.260 , pp. 920-926
    • Langer, R.1    Vacanti, J.P.2
  • 13
    • 33847651698 scopus 로고    scopus 로고
    • Multiphase modelling of cell behaviour on artificial scaffolds: Effects of nutrient depletion and spatially non-uniform porosity
    • Lemon G. and King J.R. (2007). Multiphase modelling of cell behaviour on artificial scaffolds: effects of nutrient depletion and spatially non-uniform porosity. Math. Med. Biol. 24: 57-83
    • (2007) Math. Med. Biol. , vol.24 , pp. 57-83
    • Lemon, G.1    King, J.R.2
  • 14
    • 33645957316 scopus 로고    scopus 로고
    • Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory
    • Lemon G., King J.R., Byrne H.M., Jensen O.E. and Shakesheff K.M. (2006). Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory. J. Math. Biol. 52: 571-594
    • (2006) J. Math. Biol. , vol.52 , pp. 571-594
    • Lemon, G.1    King, J.R.2    Byrne, H.M.3    Jensen, O.E.4    Shakesheff, K.M.5
  • 16
    • 2342438516 scopus 로고    scopus 로고
    • Osteoblasts adherence and migration through three-dimensional porous mineralized collagen based composite: NHAC/PLA
    • Liao S.S., Cui F.Z. and Zhu Y. (2004). Osteoblasts adherence and migration through three-dimensional porous mineralized collagen based composite: nHAC/PLA. J. Bioact. Compat. Pol. 19: 117-130
    • (2004) J. Bioact. Compat. Pol. , vol.19 , pp. 117-130
    • Liao, S.S.1    Cui, F.Z.2    Zhu, Y.3
  • 17
    • 0036111747 scopus 로고    scopus 로고
    • Multiphase mechanics of capsule formation in tumors
    • Lubkin S.R. and Jackson T. (2002). Multiphase mechanics of capsule formation in tumors. J. Biomech. Eng. 124: 237-243
    • (2002) J. Biomech. Eng. , vol.124 , pp. 237-243
    • Lubkin, S.R.1    Jackson, T.2
  • 18
    • 2342646187 scopus 로고    scopus 로고
    • A travelling wave model to interpret a wound healing migration assay for human peritoneal mesothelial cells
    • Maini P.K., McElwain S. and Leavesley D. (2004). A travelling wave model to interpret a wound healing 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, S.2    Leavesley, D.3
  • 22
    • 0031309217 scopus 로고    scopus 로고
    • A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis
    • Olsen L., Sherratt J.A., Maini P.K. and Arnold F. (1997). A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis. IMA J. Math. Appl. Med. Biol. 14: 261-281
    • (1997) IMA J. Math. Appl. Med. Biol. , vol.14 , pp. 261-281
    • Olsen, L.1    Sherratt, J.A.2    Maini, P.K.3    Arnold, F.4
  • 24
    • 0035480791 scopus 로고    scopus 로고
    • A new mathematical model for avascular tumour growth
    • Sherratt J.A. and Chaplain M.A.J. (2001). A new mathematical model for avascular tumour growth. J. Math. Biol. 43: 291-312
    • (2001) J. Math. Biol. , vol.43 , pp. 291-312
    • Sherratt, J.A.1    Chaplain, M.A.J.2
  • 25
    • 0031087466 scopus 로고    scopus 로고
    • Mathematical modelling of avascular tumour growth
    • Ward J.P. and King J.R. (1997). Mathematical modelling of avascular tumour growth. IMA J. Math. Appl. Med. Biol. 14: 36-69
    • (1997) IMA J. Math. Appl. Med. Biol. , vol.14 , pp. 36-69
    • Ward, J.P.1    King, J.R.2
  • 26
    • 0033028947 scopus 로고    scopus 로고
    • Mathematical modelling of avascular tumour growth II: Modelling growth saturation
    • Ward J.P. and King J.R. (1999). Mathematical modelling of avascular tumour growth II: modelling growth saturation. IMA J. Math. Appl. Med. Biol. 16: 171-211
    • (1999) IMA J. Math. Appl. Med. Biol. , vol.16 , pp. 171-211
    • Ward, J.P.1    King, J.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.