A phase field approach for multicellular aggregate fusion in biofabrication

Journal of Biomechanical Engineering

Volumn 135, Issue 7, 2013, Pages

  Yang, Xiaofeng ^a   Sun, Yi ^a   Wang, Qi ^a,b  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

^b NANKAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CELL-CELL INTERACTION; COMPUTATIONAL APPROACH; INTERACTION ENERGIES; INTERPHASE INTERACTION; MULTICELLULAR AGGREGATES; NUMERICAL EXPERIMENTS; PHASE-FIELD APPROACHES; TRANSIENT SIMULATION;

CELLS; CYTOLOGY; HYDROGELS; MIXTURES; SCAFFOLDS (BIOLOGY); TISSUE;

AGGREGATES;

ARTICLE; BIOCHEMISTRY; BIOFABRICATION; BIOTECHNOLOGY; CELL AGGREGATION; CELL DENSITY; CELL DIFFERENTIATION; CELL FUSION; CELL INTERACTION; CELL MATURATION; CELL PROLIFERATION; CELL SELECTION; ENDOTHELIUM CELL; GREAT BLOOD VESSEL; HUMAN; HYDRODYNAMICS; HYDROGEL; INTERPHASE; MONTE CARLO METHOD; MULTICELLULAR AGGREGATE FUSION; REGENERATIVE MEDICINE; SMOOTH MUSCLE FIBER; ANIMAL; BIOLOGICAL MODEL; BIOPRINTING; CELL MOTION; COMPUTER SIMULATION; EXTRACELLULAR MATRIX; MECHANICAL STRESS; MECHANOTRANSDUCTION; ORGANOGENESIS; PHYSIOLOGY; PROCEDURES; TISSUE ENGINEERING; YOUNG MODULUS; METHODOLOGY;

ANIMALS; BIOPRINTING; CELL AGGREGATION; CELL MOVEMENT; COMPUTER SIMULATION; ELASTIC MODULUS; EXTRACELLULAR MATRIX; HUMANS; MECHANOTRANSDUCTION, CELLULAR; MODELS, BIOLOGICAL; ORGANOGENESIS; STRESS, MECHANICAL; TISSUE ENGINEERING;

EID: 84880879196     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4024139     Document Type: Article

References (44)

1. Perez-Pomares, J. M., and Foty, R. A., 2006, "Tissue Fusion and Cell Sorting in Embryonic Development and Disease: Biomedical Implications", Bioessays, 28(6), pp. 809-821. (Pubitemid 44433743)
2. Jakab, K., Neagu, A., Mironov, V., Markwald, R. R., and Forgacs, G., 2004, "Engineering Biological Structures of Prescribed Shape Using Self-Assembling Multicellular Systems", Proc. Natl. Acad. Sci., 101, pp. 2864-2869. (Pubitemid 38327702)
3. Marga, F., Neagu, A., Kosztin, I., and Forgacs, G., 2007, "Developmental Biology and Tissue Engineering", Birth Defects Research (Part C), 81, pp. 320-328. (Pubitemid 351186179)
4. Griffith, L. G., and Naughton, G., 2002, "Tissue Engineering Current Challenges and Expanding Opportunities", Science, 295, pp. 1009-1014.
5. Mironov, V., Visconti, R. P., Kasyanov, V., Forgacs, G., Drake, C. J., and Markwald, R. R., 2009, "Organ Printing: Tissue Spheroids as Building Blocks", Biomaterials, 30, pp. 2164-2174.
6. Neagu, A., Jakab, K., Jamison, R., and Forgacs, G., 2005, "Role of Physical Mechanisms in Biological Self-Organization", Phys. Rev. Lett., 95, p. 178104.
7. Jakab, K., Damon, B., Neagu, A., Kachurin, A., and Forgacs, G., 2006, "Three-Dimensional Tissue Constructs Built By Bioprinting", Biorheology, 43, pp. 509-513. (Pubitemid 44221930)
8. Jakab, K., Norotte, C., Damon, B., Marga, F., Neagu, A., Besch-Williford, C. L., Kachurin, A., Church, K. H., Park, H., Mironov, V., Markwald, R. R., Vunjak-Novakovic, G., and Forgacs, G., 2008, "Tissue Engineering By Self-Assembly of Cells Printed Into Topologically Defined Structures", Tissue Eng., 14, pp. 413-421.
9. Neagu, A., Kosztin, I., Jakab, K., Barz, B., Neagu, M., Jamison, R., and Forgacs, G., 2006, "Computational Modeling of Tissue Self-Assembly", Mod. Phys. Lett. B, 20(20), pp. 1217-1231. (Pubitemid 44369795)
10. Mombacha, J. C. M., Robert, D., Granerc, F., Gilletd, G., Thomase, G. L., Idiarte, M., and Rieu, J.-P., 2005, "Rounding of Aggregates of Biological Cells: Experiments and Simulations", Physica A, 352, pp. 525-534. (Pubitemid 40612621)
11. Mironov, V., Zhang, J., Gentile, C., Brakkea, K., Trusk, T., Jakabb, K., Forgacsb, G., Kasyanov, V., Visconti, R. P., and Markwald, R. R., 2009, "Designer Blueprint for Vascular Trees: Morphology Evolution of Vascular Tissue Constructs", Virtual and Physical Prototyping, 4(2), pp. 63-74.
12. Visconti, R. P., Kasyanov, V., Gentile, C., Zhang, J., Markwald, R. R., and Mironov, V., 2010, "Towards Organ Printing: Engineering an Intra-Organ Branched Vascular Tree", Expert Opin. Biol. Ther., 10(3), pp. 409-420.
13. Preziosi, L., Ambrosi, D., and Verdier, C., 2010, "An Elasto-Visco-Plastic Model of Cell Aggregates", J. Theor. Biol., 262(1), pp. 35-47.
14. Cahn, J. W., and Hilliard, J. E., 1958, "Free Energy of a Nonuniform System. I: Interfacial Free Energy", J. Chem. Phys., 28, pp. 258-267.
15. Cahn, J. W., and Hilliard, J. E., 1959, "Free Energy of a Nonuniform System. III. Nucleation in a Two-Component Incompressible Fluid", J. Chem. Phys., 31, pp. 688-699.
16. Doi, M., and Edwards, S. F., 1986, The Theory of Polymer Dynamics, Oxford Science Publications, Oxford.
17. Bird, R. B., Armstrong, R. C., and Hassager, O., 1987, Dynamics of Polymeric Liquids, John Wiley and Sons, New York.
18. Zhang, T. Y., Cogan, N., and Wang, Q., 2008, "Phase Field Models for Biofilms. II. 2-D Numerical Simulations of Biofilm-Flow Interaction", Commun. Comput. Phys., 4, pp. 72-101.
19. Wang, Q., and Zhang, T. Y., 2012, "Kinetic Theories for Biofilms", Dis. Cont. Dyn. Sys. B, 17(3), pp. 1027-1059.
20. Sethian, J. A., 1999, Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science, Cambridge University Press, Cambridge.
21. Osher, S. J., and Fedkiw, R. P., 2006, Level Set Methods and Dynamic Implicit Surfaces, Springer-Verlag, Berlin.
22. Yang, X., Mironov, V., and Wang, Q., 2012, "Modeling Fusion of Cellular Aggregates in Biofabrication Using Phase Field Theories", J. Theor. Biol., 303, pp. 110-118.
23. Steinberg, M. S., 1963, "Reconstruction of Tissues by Dissociated Cells", Science, 141, pp. 401-408.
24. Foty, R. A., and Steinberg, M. S., 2005, "The Differential Adhesion Hypothesis: A Direct Evaluation", Dev. Biol., 278, pp. 255-263. (Pubitemid 40092865)
25. Perez-Pomares, J. M., and Foty, R. A., 2006, "Tissue Fusion and Cell Sorting in Embryonic Development and Disease: Biomedical Implications", Bioessays, 28, pp. 809-821. (Pubitemid 44433743)
26. Flenner, E., Marga, F., Neagu, A., Kosztin, I., and Forgacs, G., 2008, "Relating Biophysical Properties Across Scales", Curr. Top. Dev. Biol., 81, pp. 461-483.
27. Foty, R. A., Pfleger, C. M., Forgacs, G., and Steinberg, M. S., 1996, "Surface Tensions of Embryonic Tissues Predict Their Mutual Envelopment Behavior", Development, 122, pp. 1611-1620. (Pubitemid 26159647)
28. Graner, F., and Glazier, J. A., 1992, "Simulation of Biological Cell Sorting Using a 2-Dimensional Extended Potts Model", Phys. Rev. Lett., 69, pp. 2013-2016.
29. Glazier, J. A., and Graner, F., 1993, "A Simulation of the Differential Adhesion Driven Rearrangement of Biological Cells", Phys. Rev. E, 47, pp. 2128-2154.
30. Godt, D., and Tepass, U., 1998, "Drosophila Oocyte Localization is Mediated by Differential Cadherin-Based Adhesion", Nature, 395, pp. 387-391. (Pubitemid 28450689)
31. Gonzalez-Reyes, A., and Johnston, D. S., 1998, "The Drosophila ap Axis is Polarized by the Cadherinmediated Positioning of the Oocyte", Development, 125, pp. 3635-3644. (Pubitemid 28469964)
32. Bortz, A. B., Kalos, M. H., and Lebowitz, J. L., 1975, "A New Algorithm for Monte Carlo Simulation of Ising Spin Systems", J. Comput. Phys., 17, pp. 10-18.
33. Sun, Y., and Wang, Q., 2013, "Modeling and Simulations of Multicellular Aggregate Self-Assembly in Biofabrication Using Kinetic Monte Carlo Methods", Soft Matter, 9, pp. 2172-2186.
34. Metropolis, N., Rosenbluth, A. E., Rosenbluth, M., Teller, A. H., and Teller, E., 1953, "Equation of State Calculations By Fast Computing Machines", J. Chem. Phys., 21, pp. 1087-1097.
35. Doi, M., 1996, Introduction to Polymer Physics, Oxford Science Publications, Oxford.
36. Flory, P. J., 1953, Principles of Polymer Chemistry, Cornell University Press, Ithaca, NY.
37. Chorin, A. J., 1968, "Numerical Solution of the Navier-Stokes Equations", Math. Comp., 22, pp. 745-762.
38. Chorin, A. J., 1969, "On the Convergence of Discrete Approximations to the Navier-Stokes Equations", Math. Comp., 23, pp. 341-353.
39. Temam, R., 1969, "Sur l'Approximation de la Solution des Sequations de Navier-Stokes par la Methode des pas Fractionnaires II", Arch. Ration. Mech. Anal., 33, pp. 377-385.
40. Guermond, J. L., and Shen, J., 2004, "On the Error Estimates of Rotational Pressure-Correction Projection Methods", Math. Comp., 73, pp. 1719-1737. (Pubitemid 39374835)
41. Shen, J., and Yang, X., 2010, "Numerical Approximations of Allen-Cahn and Cahn-Hilliard Equations", Discrete Continuous Dynamical. Syst. A, 28, pp. 1669-1691.
42. Yang, X., Feng, J. J., Liu, C., and Shen, J., 2006, "Numerical Simulations of Jet Pinching-Off and Drop Formation Using an Energetic Variational Phase-Field Method", J. Comput. Phys., 218, pp. 417-428. (Pubitemid 44364196)
43. Jakab, K., Norotte, C., Marga, F., Murphy, K., Vunjak-Novakovic, G., and Forgacs, G., 2010, "Tissue Engineering by Self-Assembly and Bio-Printing of Living Cells", Biofabrication, 2, p. 022001.
44. Mehesz, A. N., Brown, J., Hajdu, Z., Beaver, W., da Silva, J. V. L., Visconti, R. P., Markwald, R. R., and Mironov, V., 2011, "Scalable Robotic Biofabrication of Tissue Spheroids", Biofabrication, 3, p. 025002.