Stochastic modeling and identification of emergent behaviors of an Endothelial Cell population in angiogenic pattern formation

International Journal of Robotics Research

Volumn 30, Issue 6, 2011, Pages 659-677

  Wood, Levi ^a   Kamm, Roger ^a   Asada, Harry ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Angiogenesis; Cell; Emergent behavior; Endothelial; Modeling; Pattern formation; Population; Stochasticity; System identification

Indexed keywords

ANGIOGENESIS; EMERGENT BEHAVIORS; ENDOTHELIAL; PATTERN FORMATION; POPULATION; STOCHASTICITY; SYSTEM IDENTIFICATIONS;

CELL CULTURE; CELL PROLIFERATION; ENDOTHELIAL CELLS; MAXIMUM LIKELIHOOD; POPULATION STATISTICS; STOCHASTIC SYSTEMS; TUBULAR STEEL STRUCTURES; IDENTIFICATION (CONTROL SYSTEMS); MODELS;

SCAFFOLDS (BIOLOGY); CELLS;

EID: 79959346383     PISSN: 02783649     EISSN: 17413176     Source Type: Journal    
DOI: 10.1177/0278364910394690     Document Type: Article

References (44)

1. Augustin H, Kozian D and Johnson R (1994) Differentiation of endothelial cells: analysis of the constitutive and activated endothelial cell phenotypes. Bioessays 16: 901-906. (Pubitemid 24974469)
2. Ayanian N, White P, Hálász A, Yim M and Kumar V (2008) Stochastic control for self-assembly of xbots. In: Proceedings of the ASME Mechanisms and Robotics Conference, 2-6 August, New York.
3. Bauer A, Jackson T and Jiang Y (2009) Topography of extracellular matrix mediates vascular morphogenesis and migration speeds in angiogenesis. PLoS Computational Biology 5: e1000445.
4. Behkam B and Sitti M (2007) Bacterial flagella-based propulsion and on/off motion control of microscale objects. Applied Physics Letters 90: 023902.
5. Behkam B and Sitti M (2008) Effect of quantity and configuration of attached bacteria on bacterial propulsion of microbeads. Applied Physics Letters 93: 223901.
6. Bentley K, Gerhardt H and Bates P (2007) Agent-based simulation of notch-mediated tip cell selection in angiogenic sprout initialisation. Journal of Theoretical Biology 250: 25-36. (Pubitemid 350160711)
7. Bojinov H, Casal A and Hogg T (2000) Emergent structures in modular self-reconfigurable robots. In: Proceedings of the IEEE International Conference on Robotics and Automation, vol. 2, April, San Francisco, CA, 1734-1741.
8. Bonabeau E, Dorigo M and Theraulaz G (1999) Swarm intelligence: from natural to artificial systems. Santa Fe Institute Studies in the Sciences of Complexity Proceedings. New York, Oxford University Press.
9. Brooks P (1996) Cell adhesion molecules in angiogenesis. Cancer and Metastasis Reviews 15: 187-194. (Pubitemid 26236116)
10. Carmeliet P and Jain R (2000) Angiogenesis in cancer and other diseases. Nature 407: 249-257.
11. Chung S, Sudo R, Mack P, Wan C, Vickerman V and Kamm R (2009) Cell migration into scaffolds under co-culture conditions in a microfluidic platform. Lab on a Chip 9: 269-275.
12. Das A, Lauffenburger D, Asada H and Kamm R (2010) A hybrid continuum discrete modelling approach to predict and control angiogenesis: analysis of combinatorial growth factor and matrix effects on vessel-sprouting morphology. Philosophical Transactions of the Royal Society A 368: 2937-2960.
13. Farahat W and Asada H (2009) Identification of phenotypic state transition probabilities in living cells. In: Proceedings of the 2nd ASME Dynamical Systems and Control Conference, Hollywood, CA.
14. Gerhardt H (2008) Vegf and endothelial guidance in angiogenic sprouting. In: Ruhrberg C (ed.) VEGF in Development, Molecular Biology Intelligence Unit. Ch. 6. New York: Springer, 68-78.
15. Gilpin K, Kotay K, Rus D and Vasilescu I (2008) Miche: modular shape formation by self-disassembly. International Journal of Robotics Research 27: 345-372. (Pubitemid 351322638)
16. Gutenkunst R,Waterfall J, Casey F, Brown K, Myers C and Sethna J (2007) Universally sloppy parameter sensitivities in systems biology models. PLoS Computation Biology 3: e189.
17. Hanahan D (1997) Signaling vascular morphogenesis and maintenance. Science 277: 48-50. (Pubitemid 27450640)
18. Hofmann J and Iruela-Arispe M (2006) Notch expression patterns in the retina: an eye on receptor-ligand distribution during angiogenesis. Gene Expression Patterns 7: 461-470. (Pubitemid 46177950)
19. Hood J and Cheresh D (2002) Role of integrins in cell invasion and migration. Nature reviews. Cancer 2: 91-100. (Pubitemid 37328796)
20. Jackson T and Zheng X (2010) A cell-based model of endothelial cell migration, proliferation and maturation during corneal angiogenesis. Bulletin of Mathematical Biology 72: 830-868.
21. Julius A, Halasz A, Sakar M, Rubin H, Kumar V and Pappas G (2008) Stochastic modeling and control of biological systems: the lactose regulation system of Escherichia coli. IEEE Transactions on Automatic Control 53: 51-65. (Pubitemid 351320409)
22. Karagiannis E and Popel A (2006) Distinct modes of collagen type i proteolysis by matrix metalloproteinase (mmp) 2 and membrane type i mmp during the migration of a tip endothelial cell: insights from a computational model. Journal of Theoretical Biology 238: 124-145. (Pubitemid 41737802)
23. Kaully T, Kaufman-Francis K, Lesman A and Levenberg S (2009) Vascularization: the conduit to viable engineered tissues. Tissue Engineering Part B: Reviews 15: 159-169.
24. Kouvroukoglou S, Dee K, Bizios R, McIntire L and Zygourakis K (2000) Endothelial cell migration on surfaces modified with immobilized adhesive peptides. Biomaterials 21: 1725-1733. (Pubitemid 30365035)
25. Levenberg S, Rouwkema J, Macdonald M, Garfein E, Kohane D, Darland D, et al. (2005). Engineering vascularized skeletal muscle tissue. Nature Biotechnology 23: 879-884. (Pubitemid 43093132)
26. Ljung L (1999) System Identification: Theory for the User. Upper Saddle River, NJ: Prentice Hall.
27. Lodish H, Berk A, Kaiser C, Krieger M, Scott M, Bretscher A, Ploegh H and Matsudaira P (2008) Molecular Cell Biology. New York, Freeman.
28. Losick R and Desplan C (2008). Stochasticity and cell fate. Science 320: 65-68. (Pubitemid 351490752)
29. Mantzaris N, Webb S and Othmer H (2004) Mathematical modeling of tumor-induced angiogenesis. Journal of Mathematical Biology 49: 111-187. (Pubitemid 40882678)
30. Matthey L, Berman S and Kumar V (2009) Stochastic strategies for a swarm robotic assembly system. In: Proceedings of the IEEE International Conference on Robotics and Automation, 13-15 May, Kobe, Japan.
31. Odhner L and Asada H (2010) Stochastic recruitment control of large ensemble systems with limited feedback. Accepted for publication in the ASME Journal of Dynamic Systems, Measurement, and Control 132: 041008.
32. Pawley JB (ed.) (2006) Handbook of Biological Confocal Microscopy. 3rd ed. New York, Springer.
33. Raser J and O'Shea E (2004) Control of stochasticity in eukaryotic gene expression. Science 304: 1811-1814. (Pubitemid 38787899)
34. Reinhart-King C, Dembo M and Hammer D (2005) The dynamics and mechanics of endothelial cell spreading. Biophysical Journal 89: 676-689. (Pubitemid 41098318)
35. Schor A, Ellis I and Schor S (2001) Collagen gel assay for angiogenesis. Methods in Molecular Medicine 46: 145-162.
36. Shahrezaei V and Swain P (2008) The stochastic nature of biochemical networks. Current Opinion in Biotechnology 19: 369-374.
37. Shamloo A, Ma N, Poo M, Sohn L and Heilshorn S (2008) Endothelial cell polarization and chemotaxis in a microfluidic device. Lab on a Chip 8: 1292-1299.
38. Stokes C and Lauffenburger D (1991) Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis. Journal of Theoretical Biology 152: 377-403.
39. Stratman A, SaundersW, Sacharidou A, KohW, Fisher K, Zawieja D, et al. (2009). Endothelial cell lumen and vascular guidance tunnel formation requires mt1-mmp-dependent proteolysis in 3-dimensional collagen matrices. Blood 114: 237-247.
40. Streuli C (1999) Extracellular matrix remodelling and cellular differentiation. Current Opinion in Cell Biology 11: 634-640. (Pubitemid 29460407)
41. Suchting S, Freitas C, le Noble F, Benedito R, Bréant C, Duarte A, et al. (2007). The notch ligand delta-like 4 negatively regulates endothelial tip cell formation and vessel branching. Proceedings of the National Academy of Sciences 104: 3225-3230. (Pubitemid 46364141)
42. Tonnesen M, Feng X and Clark R (2000) Angiogenesis in wound healing. Journal of Investigative Dermatology Symposium Proceedings 5: 40-46. (Pubitemid 32044088)
43. Turner TE, Schnell S and Burrage K (2004) Stochastic approaches for modelling in vivo reactions. Computational Biology and Chemistry 28: 165-178.
44. Ueda J, Odhner L and Asada H (2007) Broadcast feedback of stochastic cellular actuators inspired by biological muscle control. International Journal of Robotics Research 26: 1251-1265. (Pubitemid 350119763)