Abstract
We introduce a Cellular Potts model (a cellular-automaton-based Monte-Carlo model) of in vitro capillary development, or angiogenesis. Our model derives from a recent continuum model, which assumes that vascular endothelial cells chemotactically attract each other. Our discrete model is “cell based.” Modeling the cells individually allows us to assign different physicochemical properties to each cell and to study how these properties affect the vascular pattern. Using the model, we assess the roles of intercellular adhesion, cell shape and chemoattractant saturation in in vitro capillary development. We discuss how our computational model can serve as a tool for experimental biologists to “pre-test” hypotheses and to suggest new experiments.
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References
Dougherty, E.R., Lotufo, R.A.: Hands-on Morphological Image Processing. Tutorial Texts in Optical Engin., vol. TT59. SPIE Press, Bellingham (2003)
Segura, I., Serrano, A., De Buitrago, G.G., Gonzalez, M.A., Abad, J.L., Claveria, C., Gomez, L., Bernad, A., Martinez-A, C., Riese, H.H.: Inhibition of programmed cell death impairs in vitro vascular-like structure formation and reduces in vivo angiogenesis. FASEB J. 16, 833–841 (2002)
Chen, J., Brodsky, S., Li, H., Hampel, D.J., Miyata, T., Weinstein, T., Gafter, U., Norman, J.T., Fine, L.G., Goligorsky, M.S.: Delayed branching of endothelial capillary-like cords in glycated collagen I is mediated by early induction of PAI-1. Am. J. Physiol.-Renal 281, F71–F80 (2001)
Namy, P., Ohayon, J., Tracqui, P.: Critical conditions for pattern formation and in vitro tubulogenesis driven by cellular traction fields. J. Theor. Biol. 227, 103–120 (2004)
Gamba, A., Ambrosi, D., Coniglio, A., De Candia, A., Di Talia, S., Giraudo, E., Serini, G., Preziosi, L., Bussolino, F.: Percolation morphogenesis and burgers dynamics in blood vessels formation. Phys. Rev. Lett. 90, 118101 (2003)
Serini, G., Ambrosi, D., Giraudo, E., Gamba, A., Preziosi, L., Bussolino, F.: Modeling the early stages of vascular network assembly. EMBO J. 22, 1771–1779 (2003)
Manoussaki, D., Lubkin, S.R., Vernon, R.B., Murray, J.D.: A mechanical model for the formation of vascular networks in vitro. Acta Biotheor. 44, 271–282 (1996)
Manoussaki, D.: A mechanochemical model of angiogenesis and vasculogenesis. ESAIM-Math. Model. Num. 37, 581–599 (2003)
Takahashi, K., Ishikawa, N., Sadamoto, Y., Sasamoto, H., Ohta, S., Shiozawa, A., Miyoshi, F., Naito, Y., Nakayama, Y., Tomita, M.: E-cell 2: Multi-platform e-cell simulation system. Bioinformatics 19, 1727–1729 (2003)
Silicon cell project, http://www.siliconcell.net
Savill, N.J., Hogeweg, P.: Modelling morphogenesis: from single cells to crawling slugs. J. Theor. Biol. 184, 229–235 (1997)
Marée, A.F.M., Hogeweg, P.: How amoeboids self-organize into a fruiting body: Multicellular coordination in Dictyostelium discoideum. P. Natl. Acad. Sci. USA 98, 3879–3883 (2001)
Zajac, M., Jones, G.L., Glazier, J.A.: Model of convergent extension in animal morphogenesis. Phys. Rev. Lett. 85, 2022–2025 (2000)
Turner, S., Sherratt, J.A.: Intercellular adhesion and cancer invasion: a discrete simulation using the extended Potts model. J. Theor. Biol. 216, 85–100 (2002)
Kiskowski, M.A., Alber, M.S., Thomas, G.L., Glazier, J.A., Bronstein, N.B., Pu, J., Newman, S.A.: Interplay between activator-inhibitor coupling and cell-matrix adhesion in a cellular automaton model for chondrogenic patterning. Dev. Biol. 271, 372–387 (2004)
Glazier, J.A., Graner, F.: Simulation of the differential adhesion driven rearrangement of biological cells. Phys. Rev. E 47, 2128–2154 (1993)
Izaguirre, J.A., Chaturvedi, R., Huang, C., Cickovski, T., Coffland, J., Thomas, G., Forgacs, G., Alber, M., Hentschel, G., Newman, S.A., Glazier, J.A.: CompuCell, a multi-model framework for simulation of morphogenesis. Bioinformatics 20, 1129–1137 (2004)
Hogeweg, P.: Evolving mechanisms of morphogenesis: on the interplay between differential adhesion and cell differentiation. J. Theor. Biol. 203, 317–333 (2000)
Jiang, Y., Swart, P.J., Saxena, A., Asipauskas, M., Glazier, J.A.: Hysteresis and avalanches in two-dimensional foam rheology simulations. Phys. Rev. E 59, 5819–5832 (1999)
Zajac, M., Jones, G.L., Glazier, J.A.: Simulating convergent extension by way of anisotropic differential adhesion. J. Theor. Biol. 222, 247–259 (2003)
LaRue, A.C., Mironov, V.A., Argraves, W.S., Czirók, A., Fleming, P.A., Drake, C.J.: Patterning of embryonic blood vessels. Dev. Dynam. 228, 21–29 (2003)
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Merks, R.M.H., Newman, S.A., Glazier, J.A. (2004). Cell-Oriented Modeling of In Vitro Capillary Development. In: Sloot, P.M.A., Chopard, B., Hoekstra, A.G. (eds) Cellular Automata. ACRI 2004. Lecture Notes in Computer Science, vol 3305. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30479-1_44
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DOI: https://doi.org/10.1007/978-3-540-30479-1_44
Publisher Name: Springer, Berlin, Heidelberg
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