« Previous
Next »
Journal of Biomechanics
Volume 43, Issue 5
, Pages 887-892
, 22 March 2010
A cell based modelling framework for skeletal tissue engineering applications
References
- . On cellular automaton approaches to modeling biological cells. In: Rosenthal J, Gilliam DS editor. Mathematical Systems Theory in Biology, Communication, and Finance, IMA 142. New York: Springer; 2002;p. 1–40
- . Essential Cell Biology: An Introduction to the Molecular Biology of the Cell. New York: Garland Publishing; 1998;
- . Single-cell-based models in biology and medicine. Birkhäuser. Basel; 2007;
- . Modeling emergent tissue organization involving high-speed migrating cells in a flow equilibrium. Physical Reviews E: Statistical, Nonlinear and Soft Matter Physics. 2007;76(2):021929
- . Mechanistic modelling of avascular tumor growth and pharmacokinetics influence—Part 1. Chemical Engineering Science. 2007;62:1877–1886
- . Individual-based and continuum models of growing cell populations: a comparison. Journal of Mathematical Biology. 2009;58(4–5):657–687
- . Variations in tumor cell growth rates and metabolism with oxygen concentration, glucose concentration, and extracellular pH. Journal of Cellular Physiology. 1992;151:386–394
- . Expansion of human chondrocytes in an intermittent stirred flow bioreactor, using modified biodegradable microspheres. Tissue Engineering. 2005;11:1312–1322
- . Individual-based approaches to birth and death in avascular tumors. Mathematical and Computational Modelling. 2003;37:1163–1175
- . A single-cell-based model of tumor growth in vitro: monolayers and spheroids. Physical Biology. 2005;2:133–147
- . On the role of physics in the growth and pattern formation of multi-cellular systems: what can we learn from individual-cell based models?. Journal of Statistical Physics. 2007;128(1-2):287–345
- . High glucose concentration in isotonic media alters Caco-2 cell permeability. American Association of Pharmaceutical Scientists PharmSci. 2003;5(3):article 24
- . Role of necrosis in regulating the growth saturation of multicellular spheroids. Cancer Research. 1988;48:2432–2439
- . A reduction in the in situ rates of oxygen and glucose consumption of cells in EMT6/Ro spheroids during growth. Journal of Cellular Physiology. 1985;124(3):516–524
- . Disruption of epithelial cell-matrix interactions induces apoptosis. Journal of Cellular Biology. 1994;124(4):619–626
- . Anoikis mechanisms. Current Opinion in Cell Biology. 2001;13(5):555–562
- . Predicting the kinetics of cell spreading. Journal of Biomechanics. 2002;35:1137–1141
- . Modeling the effect of deregulated proliferation and apoptosis on the growth dynamics of epithelial cell populations in vitro. Biophysical Journal. 2005;88:62–75
- . Individual cellbased models of tumor–environment interactions: multiple effects of CD97 on tumor invasion. American Journal of Pathology. 2006;169(5):1802–1811
- . Individual cell-based models of the spatial-temporal organization of multicellular systems—achievements and limitations. Cytometry A. 2006;69(7):704–710
- . From single cells to tissue architecture-a bottom-up approach to modelling the spatio-temporal organisation of complex multi-cellular systems. Journal of Mathematical Biology. 2009;58(1–2):261–283
- Gewies, A., 2003. Introduction to Apoptosis [online]. Available at: 〈http://www.celldeath.de/encyclo/aporev/apointro.pdf〉 (date February 14th 2009).
- . Measuring the mass, density, and size of particles and cells using a suspended microchannel resonator. Applied Physics Letters. 2007;91(12):123121–123123
- . To die or not to die: an overview of apoptosis and its role in disease. Journal of the American Medical Association. 1998;279(4):300–307
- . Mathematical modelling of liver regeneration after intoxication with CCl(4). Chemical and Biological Interactions. 2007;168(1):74–93
- . The structural and mechanical complexity of cellgrowth control. Nature Cell Biology. 1999;1:E131–E138
- . A multiscale model for avascular tumor growth. Biophysical Journal. 2005;89(6):3884–3894
- . The impact of the oxygen environment on mesenchymal stem cell expansion and chondrogenic differentiation. Cell Proliferation. 2009;42:471–484
- . Four deaths and a funeral: from caspases to alternative mechanisms. Nature Reviews Molecular Cell Biology. 2001;2(8):589–598
- . Intracellular calcium levels correlate with speed and persistent forward motion in migrating neutrophils. Biophysical Journal. 1995;68:1207–1217
- . The role of bioreactors in tissue engineering. Trends in Biotechnology. 2004;22:80–86
- . Multiscale models for the growth of avascular tumors. Physics of Life Reviews. 2007;4:128–156
- . Single cell motion in aggregates of embryonic cells. Physical Review Letters. 1996;76:3032–3035
- . Cellular automata models of tumour development—a critical review. Advances in Complex Systems. 2002;5(1):247–267
- . A model for individual and collective cell movement in Dictyostelium discoideum. Proceeding of the National Academy of Science USA. 2000;97(19):10448–10453
- Palsson, B., Bhatia, S.N., 2004. Tissue Engineering. Pearson Prentice Hall Bioengineering, Upper Saddle River.
- . The different effects of apoptosis and DNA repair on tumorigenesis. Journal of Theoretical Biology. 2002;214:453–467
- . Modelling the development of complex tissues using individual viscoelastic cells. In: Anderson A, Chaplain MAJ, Rejniak K editor. Single-cell-based Models in Biology and Medicine. Basel: Birkhäuser; 2007;p. 301–323
- . A modelling approach towards epidermal homoeostasis control. Journal of Theoretical Biology. 2007;247(3):554–573
- . Analysis of gene expression and Ig transcription in PU.1/Spi-B-deficient progenitor B cell lines. Journal of Immunology. 2004;172:144–154
- . Experimental characterization and computational modelling of two-dimensional cell spreading for skeletal regeneration. Journal of the Royal Society Interface. 2007;4(17):1017–1107
- . A diffusion-based approach to geminate recombination of heme proteins with small ligands. Chemical Physics. 2003;292:1–10
- . Multi-scale models of cell and tissue dynamics. Philosophical Transactions of the Royal Society A. 2009;367:3525–3553
- . Dissecting temporal and spatial control of cytokinesis with a myosin II inhibitor. Science. 2003;299:1743–1747
- . Discrete element modelling for process simulation in agriculture. Journal of sound and vibration. 2003;266(3):493–514
- . Incorporating energy metabolism into a growth model of multicellular tumor spheroids. Journal of Theoretical Biology. 2006;242:440–453
PII: S0021-9290(09)00646-0
doi: 10.1016/j.jbiomech.2009.11.010
© 2009 Elsevier Ltd. All rights reserved.
« Previous
Next »
Journal of Biomechanics
Volume 43, Issue 5
, Pages 887-892
, 22 March 2010
