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Volumn , Issue , 2011, Pages 1-228

Towards a mathematical theory of complex biological systems

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EID: 85116591837     PISSN: None     EISSN: None     Source Type: Book Series    
DOI: 10.1142/8085     Document Type: Book
Times cited : (28)

References (155)
  • 3
    • 0036631471 scopus 로고    scopus 로고
    • Selection and fine-tuning of the autoimmune T-cell repertoire
    • S.M. Anderton and D.C. Wraith, Selection and fine-tuning of the autoimmune T-cell repertoire. Nature Reviews Immunology, 2 (2002) 487-498.
    • (2002) Nature Reviews Immunology , vol.2 , pp. 487-498
    • Anderton, S.M.1    Wraith, D.C.2
  • 6
    • 0036250008 scopus 로고    scopus 로고
    • A kinetic model of tumor/immune system cellular interaction
    • L. Arlotti, A. Gamba, and M. Lachowicz, A kinetic model of tumor/immune system cellular interaction, J. Theoretical Medicine, 4 (2002) 39-50.
    • (2002) J. Theoretical Medicine , vol.4 , pp. 39-50
    • Arlotti, L.1    Gamba, A.2    Lachowicz, M.3
  • 7
    • 65549114494 scopus 로고    scopus 로고
    • Non-canonical Wnt signaling and N-Catherin related β-catening signaling play a role in mechanically induced osteogenic call fate
    • E.J. Arnsdorf, P. Tummala, and C.R. Jacobs, Non-canonical Wnt signaling and N-Catherin related β-catening signaling play a role in mechanically induced osteogenic call fate, Plos One, 4 (2009) e5388.
    • (2009) Plos One , vol.4
    • Arnsdorf, E.J.1    Tummala, P.2    Jacobs, C.R.3
  • 9
    • 0030271595 scopus 로고    scopus 로고
    • Focalized proteolysis: Spatial and temporal regulation of extracellular matrix degradation at the cell surface
    • C.B. Basbaum and Z. Werb, Focalized proteolysis: spatial and temporal regulation of extracellular matrix degradation at the cell surface, Current Opinion Cell Biology, 8 (1996) 731-738.
    • (1996) Current Opinion Cell Biology , vol.8 , pp. 731-738
    • Basbaum, C.B.1    Werb, Z.2
  • 11
    • 77955917869 scopus 로고    scopus 로고
    • Modeling the hiding-learning dynamics in large living systems
    • N. Bellomo, Modeling the hiding-learning dynamics in large living systems Applied Mathematical Letters, 23, (2010), 907-911.
    • (2010) Applied Mathematical Letters , vol.23 , pp. 907-911
    • Bellomo, N.1
  • 12
    • 1042302643 scopus 로고    scopus 로고
    • From a class of kinetic models to macroscopic equations for multicellular systems in biology
    • N. Bellomo and A. Bellouquid, From a class of kinetic models to macroscopic equations for multicellular systems in biology, Discrete Continuous Dynamical System B, 4 (2004) 59-80.
    • (2004) Discrete Continuous Dynamical System B , vol.4 , pp. 59-80
    • Bellomo, N.1    Bellouquid, A.2
  • 13
    • 30344453406 scopus 로고    scopus 로고
    • On the onset of nonlinearity for diffusion models of binary mixtures of biological materials by asymptotic analysis
    • N. Bellomo and A. Bellouquid, On the onset of nonlinearity for diffusion models of binary mixtures of biological materials by asymptotic analysis, International J. Nonlinear Mechanics, 41 (2006) 281-293.
    • (2006) International J. Nonlinear Mechanics , vol.41 , pp. 281-293
    • Bellomo, N.1    Bellouquid, A.2
  • 14
    • 67549118839 scopus 로고    scopus 로고
    • On the derivation of macroscopic tissue equations from hybrid models of the kinetic theory of multicellular growing systems-The effect of global equilibrium
    • N. Bellomo and A. Bellouquid, On the derivation of macroscopic tissue equations from hybrid models of the kinetic theory of multicellular growing systems-The effect of global equilibrium, Nonlinear Analysis Hybrid Systems, 3 (2009) 215-224.
    • (2009) Nonlinear Analysis Hybrid Systems , vol.3 , pp. 215-224
    • Bellomo, N.1    Bellouquid, A.2
  • 15
    • 34248193921 scopus 로고    scopus 로고
    • From microscopic to macroscopic description of multicellular systems and biological growing tissues
    • N. Bellomo, A. Bellouquid, and M.A. Herrero, From microscopic to macroscopic description of multicellular systems and biological growing tissues, Computers Mathematics with Application, 53 (2007) 647-663.
    • (2007) Computers Mathematics with Application , vol.53 , pp. 647-663
    • Bellomo, N.1    Bellouquid, A.2    Herrero, M.A.3
  • 17
    • 74149083101 scopus 로고    scopus 로고
    • Complexity and mathematical tools toward the modelling of multicellular growing systems
    • N. Bellomo, A. Bellouquid, J. Nieto, and J. Soler, Complexity and mathematical tools toward the modelling of multicellular growing systems, Mathematical Computer Modelling, 51 (2010) 441-451.
    • (2010) Mathematical Computer Modelling , vol.51 , pp. 441-451
    • Bellomo, N.1    Bellouquid, A.2    Nieto, J.3    Soler, J.4
  • 18
    • 77954174968 scopus 로고    scopus 로고
    • Multiscale biological tissue models and flux-limited chemotaxis from binary mixtures of multicellular growing systems
    • N. Bellomo, A. Bellouquid, J. Nieto, and J. Soler, Multiscale biological tissue models and flux-limited chemotaxis from binary mixtures of multicellular growing systems, Mathematical Models and Methods in Applied Sciences, 20 (2010) 1179-1207.
    • (2010) Mathematical Models and Methods in Applied Sciences , vol.20 , pp. 1179-1207
    • Bellomo, N.1    Bellouquid, A.2    Nieto, J.3    Soler, J.4
  • 19
    • 69849085464 scopus 로고    scopus 로고
    • Complexity analysis and mathematical tools towards the modelling of living systems
    • N. Bellomo, C. Bianca, and M. Delitala, Complexity analysis and mathematical tools towards the modelling of living systems, Physics of Life Reviews, 6 (2009) 144-175.
    • (2009) Physics of Life Reviews , vol.6 , pp. 144-175
    • Bellomo, N.1    Bianca, C.2    Delitala, M.3
  • 20
    • 85202087932 scopus 로고    scopus 로고
    • On the modeling of nonlinear interactions in large complex systems
    • N. Bellomo, C. Bianca, and M.S. Mongiovi, On the modeling of nonlinear interactions in large complex systems, Applied Mathematics Letters, 6 (2010) 144-175.
    • (2010) Applied Mathematics Letters , vol.6 , pp. 144-175
    • Bellomo, N.1    Bianca, C.2    Mongiovi, M.S.3
  • 21
    • 2542462118 scopus 로고    scopus 로고
    • Multiscale modeling and mathematical problems related to tumor evolution and medical therapy
    • N. Bellomo, E. De Angelis, and L. Preziosi, Multiscale modeling and mathematical problems related to tumor evolution and medical therapy, J. Theoretical Medicine, 5 (2003) 111-136.
    • (2003) J. Theoretical Medicine , vol.5 , pp. 111-136
    • Bellomo, N.1    de Angelis, E.2    Preziosi, L.3
  • 22
    • 54049101941 scopus 로고    scopus 로고
    • From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells
    • N. Bellomo, and M. Delitala, From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells, Physics of Life Reviews, 5 (2008) 183-206.
    • (2008) Physics of Life Reviews , vol.5 , pp. 183-206
    • Bellomo, N.1    Delitala, M.2
  • 23
    • 62249156231 scopus 로고    scopus 로고
    • On the coupling of higher and lower scales by the mathematical kinetic theory of active particles
    • N. Bellomo and M. Delitala, On the coupling of higher and lower scales by the mathematical kinetic theory of active particles, Applied Mathematical Letters, 22 (2008) 646-650.
    • (2008) Applied Mathematical Letters , vol.22 , pp. 646-650
    • Bellomo, N.1    Delitala, M.2
  • 24
    • 36048964200 scopus 로고    scopus 로고
    • Complex multicellular systems and immune competition: New paradigms looking for a mathematical theory
    • N. Bellomo and G. Forni, Complex multicellular systems and immune competition: New paradigms looking for a mathematical theory, Current Topics in Developmental Biology, 81 (2008) 485-502.
    • (2008) Current Topics in Developmental Biology , vol.81 , pp. 485-502
    • Bellomo, N.1    Forni, G.2
  • 25
    • 44349107599 scopus 로고    scopus 로고
    • On the foundations of cancer modelling: Selected topics, speculations, and perspectives
    • N. Bellomo, N.K. Li, and P.K. Maini, On the foundations of cancer modelling: selected topics, speculations, and perspectives, Mathematical Models and Methods in Applied Sciences, 18 (2008) 593-646.
    • (2008) Mathematical Models and Methods in Applied Sciences , vol.18 , pp. 593-646
    • Bellomo, N.1    Li, N.K.2    Maini, P.K.3
  • 26
    • 77954176604 scopus 로고    scopus 로고
    • Modelling aggregation-fragmentation phenomena from kinetic to macroscopic scales
    • A. Bellouquid and C. Bianca, Modelling aggregation-fragmentation phenomena from kinetic to macroscopic scales, Mathematical and Computer Modelling, 52 (2010) 802-813.
    • (2010) Mathematical and Computer Modelling , vol.52 , pp. 802-813
    • Bellouquid, A.1    Bianca, C.2
  • 27
    • 27644478289 scopus 로고    scopus 로고
    • Mathematical methods and tools of kinetic theory towards modelling complex biological systems
    • A. Bellouquid and M. Delitala, Mathematical methods and tools of kinetic theory towards modelling complex biological systems, Mathematical Models and Methods in Applied Sciences, 15 (2005) 1639-1666.
    • (2005) Mathematical Models and Methods in Applied Sciences , vol.15 , pp. 1639-1666
    • Bellouquid, A.1    Delitala, M.2
  • 29
    • 70350618203 scopus 로고    scopus 로고
    • On the modelling of space dynamics in the kinetic theory for active particles
    • C. Bianca, On the modelling of space dynamics in the kinetic theory for active particles, Mathematical and Computer Modelling, 51 (2010) 72-83.
    • (2010) Mathematical and Computer Modelling , vol.51 , pp. 72-83
    • Bianca, C.1
  • 30
    • 77955922437 scopus 로고    scopus 로고
    • Mathematical modelling for keloid formation triggered by virus: Malignant effects and immune system competition, Mathematical Models and Methods in Ap-plied
    • C. Bianca, Mathematical modelling for keloid formation triggered by virus: malignant effects and immune system competition, Mathematical Models and Methods in Ap-plied Sciences, 21(2) (2010) doi: 10.1142/S021820251100509X.
    • (2010) Sciences , vol.21 , Issue.2
    • Bianca, C.1
  • 31
    • 77956232342 scopus 로고    scopus 로고
    • On the mathematical transport theory in microporous media: The billiard approach
    • C. Bianca, On the mathematical transport theory in microporous media: the billiard approach, Nonlinear Analysis Hybrid Systems, 4 (2010) 699-735.
    • (2010) Nonlinear Analysis Hybrid Systems , vol.4 , pp. 699-735
    • Bianca, C.1
  • 33
    • 0035605221 scopus 로고    scopus 로고
    • High field limit for the Vlasov–Poisson–Fokker–Planck system: A comparison of different perturbation methods
    • L. Bonilla and J. Soler, High field limit for the Vlasov–Poisson–Fokker–Planck system: a comparison of different perturbation methods, Mathematical Models and Methods in Applied Sciences, 11 (2001) 1457-1681.
    • (2001) Mathematical Models and Methods in Applied Sciences , vol.11 , pp. 1457-1681
    • Bonilla, L.1    Soler, J.2
  • 34
    • 14644430136 scopus 로고    scopus 로고
    • Extended Monge-Kantorovich Theory
    • Lectures given at the C.I.M.E. Summer School help in Martina Franca, L.A. Caffarelli and S. Salsa (eds.), Lecture Notes in Math. 1813, Springer-Verlag, (2003) 91-122
    • Y. Brenier, Extended Monge-Kantorovich Theory, in Optimal Transportation and Applications, Lectures given at the C.I.M.E. Summer School help in Martina Franca, L.A. Caffarelli and S. Salsa (eds.), Lecture Notes in Math. 1813, Springer-Verlag, (2003) 91-122.
    • Optimal Transportation and Applications
    • Brenier, Y.1
  • 35
    • 0022527664 scopus 로고
    • Histochemical localization of calcium in the fracture callus with potassium pyroantimonate: Possible role of chondrocyte mitochondrial calcium in callus calcification
    • C.T. Brighton and R.M. Hunt, Histochemical localization of calcium in the fracture callus with potassium pyroantimonate: possible role of chondrocyte mitochondrial calcium in callus calcification, Journal of Bone and Joint Surgery, 68-A (1986) 703-715.
    • (1986) Journal of Bone and Joint Surgery, 68-A , pp. 703-715
    • Brighton, C.T.1    Hunt, R.M.2
  • 38
    • 33846985641 scopus 로고    scopus 로고
    • Hybrid two scales mathematical tools for active particles modeling complex systems with learing hiding dynamics
    • C. Cattani and A. Ciancio, Hybrid two scales mathematical tools for active particles modeling complex systems with learing hiding dynamics, Mathematical Models and Methods in Applied Sciences, 17 (2007) 171-188.
    • (2007) Mathematical Models and Methods in Applied Sciences , vol.17 , pp. 171-188
    • Cattani, C.1    Ciancio, A.2
  • 39
    • 43049103143 scopus 로고    scopus 로고
    • Qualitative analysis of second-order models of tumor-immune system competition
    • C. Cattani and A. Ciancio, Qualitative analysis of second-order models of tumor-immune system competition, Mathematical and Computer Modelling, 47 (2008) 1339-1355.
    • (2008) Mathematical and Computer Modelling , vol.47 , pp. 1339-1355
    • Cattani, C.1    Ciancio, A.2
  • 42
    • 42149100620 scopus 로고    scopus 로고
    • Modeling aspects of cancer growth: Insight from mathematical, and numerical analysis and computational simulations
    • M.A.J. Chaplain, Modeling aspects of cancer growth: Insight from mathematical, and numerical analysis and computational simulations, Lecture Notes in Mathematics 1940, (2008) 147-200.
    • (2008) Lecture Notes in Mathematics , vol.1940 , pp. 147-200
    • Chaplain, M.A.J.1
  • 46
    • 0027430742 scopus 로고
    • Biology of dermal wound repair
    • R.A.F. Clark, Biology of dermal wound repair, Dermatology Cli., 11 (1993) 647-666.
    • (1993) Dermatology Cli , vol.11 , pp. 647-666
    • Clark, R.A.F.1
  • 47
    • 77649185063 scopus 로고    scopus 로고
    • Evolution of immune system from self/not self to danger to artificial immune system
    • E.L. Cooper, Evolution of immune system from self/not self to danger to artificial immune system, Physics of Life Reviews, 7 (2010) 55-78.
    • (2010) Physics of Life Reviews , vol.7 , pp. 55-78
    • Cooper, E.L.1
  • 48
    • 40249114816 scopus 로고    scopus 로고
    • Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis systems in critical spaces
    • L. Corrias and B. Perthame, Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis systems in critical spaces, Mathematical and Computer Modelling, 47 (2008) 755-764.
    • (2008) Mathematical and Computer Modelling , vol.47 , pp. 755-764
    • Corrias, L.1    Perthame, B.2
  • 49
    • 0038236455 scopus 로고    scopus 로고
    • Bifurcation analysis for a mean field modelling of tumor and immune system competition
    • E. De Angelis, M. Delitala, A. Marasco, and A. Romano, Bifurcation analysis for a mean field modelling of tumor and immune system competition, Mathematical Computer Modelling, 37 (2003) 1131-1142.
    • (2003) Mathematical Computer Modelling , vol.37 , pp. 1131-1142
    • de Angelis, E.1    Delitala, M.2    Marasco, A.3    Romano, A.4
  • 51
    • 27744605399 scopus 로고    scopus 로고
    • Mathematical models of therapeutical actions related to tu-mour and immune system competition
    • E. De Angelis and P.E. Jabin, Mathematical models of therapeutical actions related to tu-mour and immune system competition, Mathematical Methods in Applied Sciences, 28 (2005) 2061-2083.
    • (2005) Mathematical Methods in Applied Sciences , vol.28 , pp. 2061-2083
    • de Angelis, E.1    Jabin, P.E.2
  • 54
    • 28444437421 scopus 로고    scopus 로고
    • Kinetic models for chemotaxis: Hydrodynamic limits and spatio temporal mechanisms
    • Y. Dolak and C. Schmeiser, Kinetic models for chemotaxis: Hydrodynamic limits and spatio temporal mechanisms, J. Mathematical Biology, 51 (2005) 595-615.
    • (2005) J. Mathematical Biology , vol.51 , pp. 595-615
    • Dolak, Y.1    Schmeiser, C.2
  • 59
    • 19944408985 scopus 로고    scopus 로고
    • From individual to collective behaviour in chemotaxis
    • R. Erban, and H.G. Othmer, From individual to collective behaviour in chemotaxis, SIAM J. Applied Mathematics, 65 (2004) 361-391.
    • (2004) SIAM J. Applied Mathematics , vol.65 , pp. 361-391
    • Erban, R.1    Othmer, H.G.2
  • 60
    • 13844271463 scopus 로고    scopus 로고
    • Derivation of hyperbolic models for chemosensi-tive movement
    • F. Filbet, P. Laurençot, and B. Perthame, Derivation of hyperbolic models for chemosensi-tive movement, J. Mathematical Biology, 50 (2005) 189-207.
    • (2005) J. Mathematical Biology , vol.50 , pp. 189-207
    • Filbet, F.1    Laurençot, P.2    Perthame, B.3
  • 62
    • 42449109027 scopus 로고    scopus 로고
    • Dynamics of Cancer: Inheritance, and Evolution
    • S.A. Frank, Dynamics of Cancer: Inheritance, and Evolution, Princeton University Press, (2007).
    • (2007) Princeton University Press
    • Frank, S.A.1
  • 64
    • 70349445266 scopus 로고    scopus 로고
    • Macroscopi models for fibroproliferative disorders: A review
    • L. Fusi, Macroscopi models for fibroproliferative disorders: A review, Mathematical and Computer Modelling, 50 (2009) 1474-1494.
    • (2009) Mathematical and Computer Modelling , vol.50 , pp. 1474-1494
    • Fusi, L.1
  • 65
    • 77954331603 scopus 로고    scopus 로고
    • About the gene families size diustribution ina recent model of genome evolution
    • E. Gabetta and E. Ragazzini, About the gene families size diustribution ina recent model of genome evolution, Mathematical Models and Methods in Applied Sciences, 20 (2010) 1005-1020.
    • (2010) Mathematical Models and Methods in Applied Sciences , vol.20 , pp. 1005-1020
    • Gabetta, E.1    Ragazzini, E.2
  • 68
    • 0026652115 scopus 로고
    • Adhesive mechanisms of the corneal epithelium
    • Suppl
    • I. Gipson, Adhesive mechanisms of the corneal epithelium, Acta Ophthalmica, 70 (Suppl.) (1992) 13-17.
    • (1992) Acta Ophthalmica , vol.70 , pp. 13-17
    • Gipson, I.1
  • 69
    • 0029118679 scopus 로고
    • Extra-cellular matrix and growth factors in corneal wound healing
    • I. Gipson and T. Inatomi, Extra-cellular matrix and growth factors in corneal wound healing, Current Opininion Ophthalmica, 6 (1995) 3-10.
    • (1995) Current Opininion Ophthalmica , vol.6 , pp. 3-10
    • Gipson, I.1    Inatomi, T.2
  • 70
    • 2942588906 scopus 로고    scopus 로고
    • Mathematical and computational models of immune-receptor signalling
    • B. Goldstein, J.R. Faeder, and W.S. Hlavaceck, Mathematical and computational models of immune-receptor signalling, Nature Reviews, Immunology, 4 (2004) 445-456.
    • (2004) Nature Reviews, Immunology , vol.4 , pp. 445-456
    • Goldstein, B.1    Faeder, J.R.2    Hlavaceck, W.S.3
  • 72
    • 0034614637 scopus 로고    scopus 로고
    • The hallmarks of cancer
    • D. Hanahan and R.A. Weinberg, The hallmarks of cancer, Cell, 100 (2000) 57-70.
    • (2000) Cell , vol.100 , pp. 57-70
    • Hanahan, D.1    Weinberg, R.A.2
  • 74
    • 0037470973 scopus 로고    scopus 로고
    • A bright future for biologists and mathematicians?
    • No
    • A. Hastings and M.A. Palmer, A bright future for biologists and mathematicians?, Science, 299, No. 5615, (2003) 2003-2004.
    • (2003) Science , vol.299 , Issue.5615 , pp. 2003-2004
    • Hastings, A.1    Palmer, M.A.2
  • 76
    • 59449095748 scopus 로고    scopus 로고
    • N-Catherin interacts with axin and LRP5 to negatively regulate Wnt/β-catenin signaling, osteoblast function and bone formation
    • E. Hay et al., N-Catherin interacts with axin and LRP5 to negatively regulate Wnt/β-catenin signaling, osteoblast function and bone formation, Molecular and Cellular Biology, 29 (2009) 953-964.
    • (2009) Molecular and Cellular Biology , vol.29 , pp. 953-964
    • Hay, E.1
  • 77
    • 34249668464 scopus 로고    scopus 로고
    • On the role of mathematics in biology
    • M. Herrero, On the role of mathematics in biology, J. Mathematical Biology, 54 (2007) 887-889.
    • (2007) J. Mathematical Biology , vol.54 , pp. 887-889
    • Herrero, M.1
  • 80
    • 0034917420 scopus 로고    scopus 로고
    • The diffusion limit of transport equations derived from velocity jump processes
    • T. Hillen and H. Othmer, The diffusion limit of transport equations derived from velocity jump processes, SIAM J. Applied Mathematics, 61 (2000) 751-775.
    • (2000) SIAM J. Applied Mathematics , vol.61 , pp. 751-775
    • Hillen, T.1    Othmer, H.2
  • 84
    • 7244245762 scopus 로고    scopus 로고
    • Finishing the euchromatic sequence of the human genome
    • International Human Genome Sequencing Consortium, Finishing the euchromatic sequence of the human genome, Nature, 431 (2005) 931-945.
    • (2005) Nature , vol.431 , pp. 931-945
  • 85
    • 0032146551 scopus 로고    scopus 로고
    • Mechanisms of spontaneous resolution of rat liver fibrosis. Hepatic stellate cell apoptosis and reduced hepatic expression of metalloproteinase inhibitors
    • J.P. Iredale, R.C. Benyon, J. Pickering, M. McCullen, M. Northrop, S. Pawley, C. Hov-ell, and M.J. Arthur, Mechanisms of spontaneous resolution of rat liver fibrosis. Hepatic stellate cell apoptosis and reduced hepatic expression of metalloproteinase inhibitors. J. Clinical Investigation, 102 (1998) 538-549.
    • (1998) J. Clinical Investigation , vol.102 , pp. 538-549
    • Iredale, J.P.1    Benyon, R.C.2    Pickering, J.3    McCullen, M.4    Northrop, M.5    Pawley, S.6    Hov-Ell, C.7    Arthur, M.J.8
  • 90
    • 3042688737 scopus 로고
    • Assessing the Keller-Segel model: How has it fared?, Biological Growth and Spread (Proc. Conf., Heidelberg, 1979)
    • E.F. Keller, Assessing the Keller-Segel model: how has it fared?, Biological Growth and Spread (Proc. Conf., Heidelberg, 1979), Springer Berlin, 1980 379-387.
    • (1980) Springer Berlin , pp. 379-387
    • Keller, E.F.1
  • 93
    • 0033716382 scopus 로고    scopus 로고
    • Perspectives on systems biology
    • H. Kitano, Perspectives on systems biology, New Generation Computing, 18 (2000) 199-216.
    • (2000) New Generation Computing , vol.18 , pp. 199-216
    • Kitano, H.1
  • 94
    • 0038575165 scopus 로고    scopus 로고
    • Mathematical modelling of the competition between tumors and immune system considering the role of antibodies
    • M. Kolev, Mathematical modelling of the competition between tumors and immune system considering the role of antibodies, Mathematical and Computer Modelling, 37 (2003) 1143-1152.
    • (2003) Mathematical and Computer Modelling , vol.37 , pp. 1143-1152
    • Kolev, M.1
  • 95
    • 8744237323 scopus 로고    scopus 로고
    • Mathematical modeling of the competition between acquired immunity and cancer
    • M. Kolev, Mathematical modeling of the competition between acquired immunity and cancer, International J. Applied Mathematics Computer Science, 13 (2003) 289-296.
    • (2003) International J. Applied Mathematics Computer Science , vol.13 , pp. 289-296
    • Kolev, M.1
  • 96
    • 26844505021 scopus 로고    scopus 로고
    • Mathematical model of tumor invasion along linear or tubular structures
    • M. Kolev, E. Kozlowska, and M. Lachowicz, Mathematical model of tumor invasion along linear or tubular structures, Mathematical Computer Modelling, 41 (2005) 1083-1096.
    • (2005) Mathematical Computer Modelling , vol.41 , pp. 1083-1096
    • Kolev, M.1    Kozlowska, E.2    Lachowicz, M.3
  • 97
    • 33748696982 scopus 로고    scopus 로고
    • Spatial stochastic models for cancer initiation and progression
    • N. Komarova, Spatial stochastic models for cancer initiation and progression, Bulletin Mathematical Biology, 68 (2006) 1573-1599.
    • (2006) Bulletin Mathematical Biology , vol.68 , pp. 1573-1599
    • Komarova, N.1
  • 98
    • 2342539600 scopus 로고    scopus 로고
    • The optimal rate of chromosome loss for the inactivation of tumor suppressor in gene cancer
    • N. Komarova and D. Wodarz, The optimal rate of chromosome loss for the inactivation of tumor suppressor in gene cancer, Proceedings National Academy Science, 101 (2004) 643-649.
    • (2004) Proceedings National Academy Science , vol.101 , pp. 643-649
    • Komarova, N.1    Wodarz, D.2
  • 99
    • 35348833450 scopus 로고    scopus 로고
    • Stochastic modeling of loss-and gain-of-function mutation in cancer
    • N. Komarova, Stochastic modeling of loss-and gain-of-function mutation in cancer, Mathematical Models and Methods in Applied Sciences, 17 (2007) 1647-1674.
    • (2007) Mathematical Models and Methods in Applied Sciences , vol.17 , pp. 1647-1674
    • Komarova, N.1
  • 100
    • 0035845845 scopus 로고    scopus 로고
    • Identification of genes, involved in epithelial-mesenchymal transition and tumor progression
    • A.K. Kuemer, K. Tacheuchi, and M.P. Quinlan, Identification of genes, involved in epithelial-mesenchymal transition and tumor progression, Oncogene, 20 (2001) 6679-6688.
    • (2001) Oncogene , vol.20 , pp. 6679-6688
    • Kuemer, A.K.1    Tacheuchi, K.2    Quinlan, M.P.3
  • 101
    • 27644503155 scopus 로고    scopus 로고
    • Micro and meso scales of description corresponding to a model of tissue invasion by solid tumours
    • M. Lachowicz, Micro and meso scales of description corresponding to a model of tissue invasion by solid tumours, Mathematical Models and Methods in Applied Sciences, 15 (2005) 1667-1683.
    • (2005) Mathematical Models and Methods in Applied Sciences , vol.15 , pp. 1667-1683
    • Lachowicz, M.1
  • 104
    • 34547141894 scopus 로고    scopus 로고
    • Mesenchyme forkhead 1 (FOXC2) plays a key role in methastasis and is associated with aggressive basal-like breast cancer
    • S.A. Mani et al., Mesenchyme forkhead 1 (FOXC2) plays a key role in methastasis and is associated with aggressive basal-like breast cancer, Proceedings National Acaemy of Sciences, 107 (2007) 10069-10074.
    • (2007) Proceedings National Acaemy of Sciences , vol.107 , pp. 10069-10074
    • Mani, S.A.1
  • 106
    • 0026452888 scopus 로고
    • Actin cables and epidermal movement in embryonic wound healing
    • P. Martin and J. Lewis, Actin cables and epidermal movement in embryonic wound healing, Nature, 360 (1992) 179-183.
    • (1992) Nature , vol.360 , pp. 179-183
    • Martin, P.1    Lewis, J.2
  • 108
    • 0842309879 scopus 로고    scopus 로고
    • Uses and abuses of mathematics in biology
    • R.M. May, Uses and abuses of mathematics in biology, Science, 303 (2004) 790-793.
    • (2004) Science , vol.303 , pp. 790-793
    • May, R.M.1
  • 109
    • 0003496745 scopus 로고    scopus 로고
    • Foetal wound healing and the development of antis-carring therapies for adult wound healing
    • (Clark F.A.F. ed), 2nd edn., New York: Plenum Press
    • R.L. McCallion and M.W.J. Ferguson, Foetal wound healing and the development of antis-carring therapies for adult wound healing. In: The Molecular and Cellular Biology of Wound Repair, (Clark F.A.F. ed), 2nd edn., New York: Plenum Press, (1996) 561-600.
    • (1996) The Molecular and Cellular Biology of Wound Repair , pp. 561-600
    • McCallion, R.L.1    Ferguson, M.W.J.2
  • 110
    • 0013640003 scopus 로고
    • Mechanisms of parenchymal cell migration into wounds
    • R.A.F. Clark and P.M. Henson, Eds., Plenum, New York
    • J.B. McCarthy, D.F. Sas, and L.T. Furcht, Mechanisms of parenchymal cell migration into wounds, in: The molecular cell biology of wound repair, R.A.F. Clark and P.M. Henson, Eds., Plenum, New York, 13 (1988).
    • (1988) The Molecular Cell Biology of Wound Repair , pp. 13
    • McCarthy, J.B.1    Sas, D.F.2    Furcht, L.T.3
  • 113
    • 0021238271 scopus 로고
    • Cell traction models for generating pattern and form in morphogenesis
    • J.D. Murray and G.F. Oster, Cell traction models for generating pattern and form in morphogenesis, J. Mathematical Biology, 19 (1984) 265-279.
    • (1984) J. Mathematical Biology , vol.19 , pp. 265-279
    • Murray, J.D.1    Oster, G.F.2
  • 114
    • 45449124064 scopus 로고
    • Mechanochemical models for generating biological pattern and form in development
    • J.D. Murray, P.K. Maini, and R.T. Tranquillo, Mechanochemical models for generating biological pattern and form in development, Physics Reports, 171 (1988) 59-84.
    • (1988) Physics Reports , vol.171 , pp. 59-84
    • Murray, J.D.1    Maini, P.K.2    Tranquillo, R.T.3
  • 115
    • 75249103847 scopus 로고    scopus 로고
    • Traveling waves for the Keller-Segel system with Fisherbirth term
    • G. Nadin, B. Perthame, and B. Ryzhik, Traveling waves for the Keller-Segel system with Fisherbirth term, Interfaces and Free Boundaries, 10 (2008) 517-538.
    • (2008) Interfaces and Free Boundaries , vol.10 , pp. 517-538
    • Nadin, G.1    Perthame, B.2    Ryzhik, B.3
  • 116
    • 27644527952 scopus 로고    scopus 로고
    • Gene expression in human keloids is altered from dermal to chondrocytic and osteogenic lineage
    • M. Naitoh et al., Gene expression in human keloids is altered from dermal to chondrocytic and osteogenic lineage, Genes Cells, 10 (2005) 1081-1091.
    • (2005) Genes Cells , vol.10 , pp. 1081-1091
    • Naitoh, M.1
  • 117
    • 0028943319 scopus 로고
    • Proliferating activity of dermal fibroblasts in keloids and hypertrophic scars
    • H. Nakaoka, S. Miyauchi, and Y. Miki, Proliferating activity of dermal fibroblasts in keloids and hypertrophic scars, Acta Dermato-Venereol, 75 (1995) 102-104.
    • (1995) Acta Dermato-Venereol , vol.75 , pp. 102-104
    • Nakaoka, H.1    Miyauchi, S.2    Miki, Y.3
  • 118
  • 119
    • 0036499997 scopus 로고    scopus 로고
    • Modeling the heart-from genes to cells to the whole organ
    • D. Noble, Modeling the heart-from genes to cells to the whole organ, Science 295 (2002) 1678-1682.
    • (2002) Science , vol.295 , pp. 1678-1682
    • Noble, D.1
  • 120
    • 0842288340 scopus 로고    scopus 로고
    • Evolutionary dynamics of biological games
    • M.A. Nowak and K. Sigmund, Evolutionary dynamics of biological games, Science, 303 (2004) 793-799.
    • (2004) Science , vol.303 , pp. 793-799
    • Nowak, M.A.1    Sigmund, K.2
  • 122
    • 84983480394 scopus 로고
    • A mechanochemical model for adult dermal wound contraction
    • L. Olsen, J.A. Sherratt, and P.K. Maini, A mechanochemical model for adult dermal wound contraction, J. Biological Systems, 3 (1995) 1021-1023.
    • (1995) J. Biological Systems , vol.3 , pp. 1021-1023
    • Olsen, L.1    Sherratt, J.A.2    Maini, P.K.3
  • 123
    • 0001087921 scopus 로고    scopus 로고
    • Simple modelling of extracellular matrix alignment in dermal wound healing I. Cell flux induced aligment
    • L. Olsen, P.K. Maini, J.A. Sherratt, and B. Marchant, Simple modelling of extracellular matrix alignment in dermal wound healing I. Cell flux induced aligment, J. Theoretical Medicine, 1 (1998) 175-192.
    • (1998) J. Theoretical Medicine , vol.1 , pp. 175-192
    • Olsen, L.1    Maini, P.K.2    Sherratt, J.A.3    Marchant, B.4
  • 124
    • 0032909235 scopus 로고    scopus 로고
    • Mathematical modelling of anisotropy in fibrous connective tissue
    • L. Olsen, P.K. Maini, J.A. Sherratt, and J. Dallon, Mathematical modelling of anisotropy in fibrous connective tissue, Mathematical Bioscences, 158 (1999) 145-170.
    • (1999) Mathematical Bioscences , vol.158 , pp. 145-170
    • Olsen, L.1    Maini, P.K.2    Sherratt, J.A.3    Dallon, J.4
  • 125
    • 16044367382 scopus 로고    scopus 로고
    • A mathematical model for fibro-proliferative wound healing disorders
    • L. Olsen, J.A. Sherratt, and P.K. Maini, A mathematical model for fibro-proliferative wound healing disorders, Bulletin Mathematical Biology, 58 (1996) 787-808.
    • (1996) Bulletin Mathematical Biology , vol.58 , pp. 787-808
    • Olsen, L.1    Sherratt, J.A.2    Maini, P.K.3
  • 127
    • 0036553052 scopus 로고    scopus 로고
    • The diffusion limit of transport equations II: Chemotaxis equations
    • H.G. Othmer and T. Hillen, The diffusion limit of transport equations II: Chemotaxis equations, SIAM J. Applied Mathematics, 62 (2002) 1222-1250.
    • (2002) SIAM J. Applied Mathematics , vol.62 , pp. 1222-1250
    • Othmer, H.G.1    Hillen, T.2
  • 128
    • 85202087934 scopus 로고    scopus 로고
    • In silico modelin and in vivo efficacy of cancer preventive vaccination
    • A. Palladini et al., In silico modelin and in vivo efficacy of cancer preventive vaccination, Cancer Research, 70 (2010) OF1-OF9.
    • (2010) Cancer Research , vol.70 , pp. OF1-OF9
    • Palladini, A.1
  • 131
    • 0026713382 scopus 로고
    • Immunologic associations of keloids
    • O.J. Placid and V.L. Lewis, Immunologic associations of keloids, Surg Gynecol Obstet, 175 (1992) 185-193.
    • (1992) Surg Gynecol Obstet , vol.175 , pp. 185-193
    • Placid, O.J.1    Lewis, V.L.2
  • 133
    • 0009380981 scopus 로고
    • Free energy functionals at the high gradient limit
    • P. Rosenau, Free energy functionals at the high gradient limit, Physical Review A, 41 (1990) 2227–2230.
    • (1990) Physical Review A , vol.41 , pp. 2227-2230
    • Rosenau, P.1
  • 134
    • 0007263367 scopus 로고
    • Tempered diffusion: A transport process with propagating front and inertial delay
    • P. Rosenau, Tempered diffusion: A transport process with propagating front and inertial delay, Physical Review A, 46 (1992) 7371-7374.
    • (1992) Physical Review A , vol.46 , pp. 7371-7374
    • Rosenau, P.1
  • 135
    • 0031880637 scopus 로고    scopus 로고
    • Analysis of p53 gene mutations in keloids using polymerase chain reaction-based single-strand conforma-tional polymorphism and DNA sequencing
    • G.M. Saed, D. Ladin, J. Olson, X. Han, Z. Hou, and D. Fivenson, Analysis of p53 gene mutations in keloids using polymerase chain reaction-based single-strand conforma-tional polymorphism and DNA sequencing, Arch Dermatology, 134 (1998) 936-967.
    • (1998) Arch Dermatology , vol.134 , pp. 936-967
    • Saed, G.M.1    Ladin, D.2    Olson, J.3    Han, X.4    Hou, Z.5    Fivenson, D.6
  • 136
    • 0037434896 scopus 로고    scopus 로고
    • Shattuck lecture Ddiversity of the immune repertoire and immunoregula-tion
    • R.S. Schwartz, Shattuck lecture Ddiversity of the immune repertoire and immunoregula-tion, The New England Journal of Medicine, 348 (2003) 1017-1026.
    • (2003) The New England Journal of Medicine , vol.348 , pp. 1017-1026
    • Schwartz, R.S.1
  • 140
    • 0027018252 scopus 로고
    • Epidermal wound healing: The clinical implications of a simple mathematical model
    • J.A. Sherratt and J.D. Murray, Epidermal wound healing: The clinical implications of a simple mathematical model, Cellular Transplantation, 1 (1992) 365-371.
    • (1992) Cellular Transplantation , vol.1 , pp. 365-371
    • Sherratt, J.A.1    Murray, J.D.2
  • 141
    • 0021275947 scopus 로고
    • In vivo co-distribution of fi-bronectin and actin fibers in granulation tissue: Immunofluorescence and electron microscope studies of the fibronexus at the myofibroblast surface
    • I.I. Singer, D.W. Kawka, D.M. Kazais, and R.A.F. Clark, In vivo co-distribution of fi-bronectin and actin fibers in granulation tissue: Immunofluorescence and electron microscope studies of the fibronexus at the myofibroblast surface, J. Cell. Biology, 98 (1984) 2091-2106.
    • (1984) J. Cell. Biology , vol.98 , pp. 2091-2106
    • Singer, I.I.1    Kawka, D.W.2    Kazais, D.M.3    Clark, R.A.F.4
  • 143
    • 0020067094 scopus 로고
    • Connective tissue morphogenesis by fibroblasts traction I: Tissue culture observation
    • D. Stopak and A.K. Harris, Connective tissue morphogenesis by fibroblasts traction I: Tissue culture observation, Developmental Biology, 90 (1982) 383-398.
    • (1982) Developmental Biology , vol.90 , pp. 383-398
    • Stopak, D.1    Harris, A.K.2
  • 145
    • 28844456875 scopus 로고    scopus 로고
    • Semiconservative replication, genetic repair, and many-gened genomes: Extending the quasispecies paradigm to living systems
    • E. Tannenbaum and E.I. Shakhnovich, Semiconservative replication, genetic repair, and many-gened genomes: Extending the quasispecies paradigm to living systems, Physics of Life Reviews, 2 (2005) 290-317.
    • (2005) Physics of Life Reviews , vol.2 , pp. 290-317
    • Tannenbaum, E.1    Shakhnovich, E.I.2
  • 148
    • 4043181214 scopus 로고    scopus 로고
    • Cancer genes and the pathways they control
    • B. Vogelstein and K.W. Kinzler, Cancer genes and the pathways they control, Nature Medicine, 10 (2004) 789-799.
    • (2004) Nature Medicine , vol.10 , pp. 789-799
    • Vogelstein, B.1    Kinzler, K.W.2
  • 152
    • 33845332311 scopus 로고    scopus 로고
    • Garland Sciences-Taylor and Francis, New York
    • R.A. Weinberg, The Biology of Cancer, Garland Sciences-Taylor and Francis, New York, (2007).
    • (2007) The Biology of Cancer
    • Weinberg, R.A.1
  • 154
    • 67649365826 scopus 로고    scopus 로고
    • Multiscale models of taxi-driven patterning of bacterial populations
    • C. Xue and H.G. Othmer, Multiscale models of taxi-driven patterning of bacterial populations, SIAM J. Applied Mathematics, 70 (2009) 133-167.
    • (2009) SIAM J. Applied Mathematics , vol.70 , pp. 133-167
    • Xue, C.1    Othmer, H.G.2
  • 155
    • 2942707848 scopus 로고    scopus 로고
    • Twist, a master regulator of morphogenesis, plays an essential role in tumor methastasis
    • J. Yang et al., Twist, a master regulator of morphogenesis, plays an essential role in tumor methastasis, Cell, 117 (2004) 927-939.
    • (2004) Cell , vol.117 , pp. 927-939
    • Yang, J.1


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