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Review Article

Micro-environmentally restricted cell growth dynamics – modeling considerations

Pages 402-409 | Received 31 May 2013, Accepted 22 Jan 2014, Published online: 18 Mar 2014

References

  • Ala-Nissila T, Majaniemi K, Elder K. (2004). Phase-field modeling of dynamical interface phenomena in fluids. Physics, 640, 357–88
  • Atanackovic TM. (2002). A modified Zener model of a viscoelastic body. Cont Mech Thermod, 14, 137–48
  • Bischofs IB, Schwarz US. (2005). Effect of Poisson ratio on cellular structure formation. Phys Rev Lett, 95, 0681021–4
  • Bruinsma R. (2005). Theory of force regulation by nascent adhesion sites. Biophys J, 89, 87–94
  • Butler JP, Tolic-Norrelykke IM, Fabry B, Fredberg JJ. (2002). Traction fields, moments and strain energy that cells exert on their surrounding. Am J Cell Phys, 282, C595–605
  • Cheng G, Tse J, Jain RK, Munn LL. (2009). Micro-environmental mechanical stress controls tumor spheroud size and morphology by suppresing proliferation and inducing apoptosis in cancer cells. PLoS One, e4632, 1–11
  • Coleman BD, Gurtin ME. (1967). Thermodynamics with internal state variables. J Chem Phys, 47, 597–613
  • Cowin SC. (2004). Tissue growth and remodeling. Ann Rev Biomed Eng, 6, 77–107
  • Dieterich P, Klages R, Preuss R, Shwab A. (2007). Anomalous dynamics of cell migration. PNAS, 105, 457–63
  • Djordjevic VD, Jaric J, Fabrz B, et al. (2003). Fractional derivatives embody essential features of cell rheological behavior. Ann Biomed Eng, 31, 692–9
  • Ebeling W, Schweitzer F, Tilch B. (1999). Active Brownian particles with energy depots modeling animal mobility. Biosystems, 49, 17–29
  • Edwards S, Grinev DV. (1988). Statistical mechanics of vibration-induced compaction of powders. Phys Rev E, 58, 4758–62
  • Edwards SF. (2005). The full canonical ensemble of a granular system. Phys A, 353, 114–8
  • Evans E. (1995). Physical actions in biological adhesion. In: Lipowsky R, Sackmann E, eds. Handbook of biological physics: structure and dynamics of membrane. Vol. 1, Amsterdam: Elsevier, 723–53
  • Friedi P, Borgmann S, Brocker EA. (2001). Amoeboid leukocite crawling through extracellular matrix: lessons from the Dictyostelium paradigm of cell movement. J Leuk Biol, 70, 491–509
  • Garcia-Bellido AC, Garcia-Bellido A. (1998). Cell proliferation in the attainment of constant sizes and shapes: the Entelechia model. Int J Dev Biol, 42, 353–62
  • Guck J, Lautenschlager F, Paschke S, Beil M. (2010). Critical review: cellular mechanobiology and amoeboid migration. Integr Biol (Camb), 2, 575–83
  • Harris AK, Stopak D, Wild P. (1981). Fibroblast traction as a mechanism for collagen morphogenesis. Nature, 290, 249–51
  • Ingber DE. (2006). Cellular mechanotransduction: putting all the pieces together again. FASEB J, 20, 811–27
  • Lammermann T, Sixt M. (2009). Mechanical modes of ‘amoeboid’ cell migration. Curr Opin Cell Biol, 21, 636–44
  • Lardner TJ, Pujara P. (1980). Compression of spherical cells. Mech Today, 5, 161–76
  • Leal-Egana A, Dietrich-Braumann U, Diaz-Cuenca A, et al. (2011). Determination of pore size distribution at the cell-hydrogel interface. J Nanobiotechnol Open Access, 9, 1–7
  • Lega J, Passot T. (2003). Hydrodynamics of bacterial colonies: a model. Phys Rev E, 67, 031906 1–18
  • Lekka M, Laidler P, Gil D, et al. (1999). Elasticity of normal and cancerous human bladder cells studied by scanning force microscopy. Eur Biophys J, 28, 312–6
  • Marmottant P, Mgharbel A, Kafer J, et al. (2009). The role of fluctuations and stress on the effective viscosity of cell aggregates. PNAS, 106, 17271–5
  • Murray JD, Maini PK, Tranquillo RT. (1988). Mechanochemical models for generating biological pattern and form in development. Phys Rep, 171, 59–84
  • Ochab-Marcinek A, Gudowska-Nowak E. (2004). Population growth and control in stochastic model of cancer development. Phys A, 343, 557–72
  • Pajic-Lijakovic I. (2013). Micro-environmentally restricted cell growth within polysaccharide microbeads. Biomed Mater Eng accepted paper, 23, 361–71
  • Pajic-Lijakovic I, Plavsic M, Bugarski B, Nedovic V. (2007a). Ca-alginate hydrogel mechanical transformations – the influence on yeast cell growth dynamics. J Biotechnol, 129, 446–52
  • Pajic-Lijakovic I, Plavsic M, Nedovic V, Bugarski B. (2007b). Investigation of Ca-alginate hydrogel rheological behavior in conjunction with immobilized yeast cell growth dynamics. J Microencap, 24, 420–9
  • Pajic-Lijakovic I, Plavsic M, Nedovic V, Bugarski B. (2008). Modeling of microenvironmental restricted yeast cell growth within Ca-alginate microbead. Minerva Biotechnol, 20, 99–102
  • Pajic-Lijakovic I, Plavsic MB, Nedovic V, Bugarski B. (2010). Ca-alginate hydrogel changes caused by yeast cell growth dynamics. In: Mendez-Vilas A, ed. Current research, technology and education topics in applied microbiology and biotechnology. Badajoz: Microbiology Book Series No 2, Formatex, 1486–93
  • Peeters EAG, Bouten CVC, Oomens CWJ, Baaijens FPT. (2003). Monitoring the biomechanical response of individual cells under compression: a new compression device. Med Biol Eng Comp, 41, 498–503
  • Perullini M, Jobbagy M, Bermudez M, et al. (2008). Optimizing silica encapsulation of living cells: in situ evaluation of cellular stress. Chem Mater, 20, 3015–21
  • Plavsic MB, Pajic-Lijakovic I, Bugarski B, et al. (2010). Pseudo-blend model of hydrogel immobilized living cells. In: Korugic-Karasz LJ, ed. ASC symposium series, contemporary science of polymeric materials. Washington, DC: American Chemical Society, 149–66
  • Podlubny I. (1999). Fractional differential equations, mathematics in science and engineering. Vol. 198, London: Academic Press, 1999
  • Rieu JP, Upadhyaya A, Glazier JA, et al. (2000). Diffusion and deformations of single hydra cells in cellular aggregates. Biophys J, 79, 1903–14
  • Rolli CG, Seufferlein T, Kemkemer R, Spatz JP. (2010). Impact of tumor cell cytoskeleton organization on invasiveness and migration: a Microchanell-based approach. PLoS One, 5, e8726 1–8
  • Shraiman BI. (2005). Mechanical feedback as possible regulator of tissue growth. PNAS, 102, 3318–23
  • Simpson NE, Stabler CL, Simpson CP, et al. (2004). The role of the CaCl2-gluronic acid interaction on alginate encapsulated βTC3 cells. Biomaterials, 25, 2603–10
  • Skalak R, Tozeren A, Zarda RP, Chien S. (1973). Strain energy function of red blood cell membranes. Biophys J, 13, 245–63
  • Smith AE, Moxham KE, Middelberg APJ. (2000). Wall material properties of yeast cells. Part II. Analysis. Chem Eng Sci, 55, 2043–53
  • Smith JT, Elkin MT, Reichert MW. (2006). Directed cell migration on fibronectin gradients: effects of gradient slope. Exp Cell Res, 312, 2424–32
  • Trumel H, Dragon A, Fanget A, Lambert P. (2001). A constitutive model for the dynamics and high-pressure behaviour of a propellant-like material: part I: experimental background and general structure of the model. Int J Num Anal Meth Geomech, 25, 551–79
  • Upadhyaya A, Rieu JP, Glazier JA, Sawada Y. (2001). Anomalous diffusion and non-Gaussian velocity distribution of Hydra cells in cellular aggregates. Phys A, 293, 549–58
  • Volfson D, Cookson S, Hasty J, Tsimring LS. (2008). Biomechanical ordering of dense cell populations. PNAS, 105, 15346–51

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