Biomedical Engineering Reference
In-Depth Information
separate levels is needed. A few international projects recognize this need for
explanatory multi-scale models, like the Physiome Project and the Virtual Physio-
logical Human Project [
36
]. We argue that cells and their behavior should still have a
central role in these models, since cell behaviors and properties can also be observed
and measured experimentally, which allows validation and quantification of the
computational model. A constant feedback loop between computational and
experimental models is thus needed to reach a functional and multi-level under-
standing of angiogenesis, a strategy called systems biology.
Acknowledgments We thank Indiana University and the Biocomplexity Institute for providing
the CC3D modeling environment. This work was cofinanced by the Netherlands Consortium for
Systems Biology (NCSB) which is part of the Netherlands Genomics Initiative/Netherlands
organization for Scientific Research and by the Netherlands Institute of Regenerative Medicine.
The investigations were (in part) supported by the Division for Earth and Life Sciences (ALW)
with financial aid from the Netherlands Organization for Scientific Research (NWO).
References
1. Koolwijk, P., van Erck, M., de Vree, W., Vermeer, M., Weich, H., Hanemaaijer, R., van
Hinsbergh, V.: Cooperative effect of TNFalpha bFGF and VEGF on the formation of tubular
structures of human microvascular endothelial cells in a fibrin matrix. Role of urokinase
activity. J. Cell Biol. 132(6), 1177-1188 (1996)
2. Anderson, A., Chaplain, M.: A mathematical model for capillary network formation in the
absence of endothelial cell proliferation. Appl. Math. Lett. 11(3), 109-114 (1998)
3. Manoussaki, D., Lubkin, S., Vemon, R., Murray, J.: A mechanical model for the formation of
vascular networks in vitro. Acta Biotheor. 44(3), 271-282 (1996)
4. 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)
5. 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)
6. Anderson, A., Chaplain, M.: Continuous and discrete mathematical models of tumor-induced
angiogenesis. Bull. Math. Biol. 60(5), 857-899 (1998). doi:
10.1006/bulm.1998.0042
7. Szabó, A., Perryn, E., Czirok, A.: Network formation of tissue cells via preferential attraction
to elongated structures. Phys. Rev. Lett. 98(3), 038102 (2007)
8. Jackson, T., Zheng, X.: A Cell-based Model of Endothelial Cell Migration Proliferation and
Maturation During Corneal Angiogenesis. Bull. Math. Biol. (2010). doi:
10.1007/s11538-009-
9. Szabó, A., Mehes, E., Kosa, E., Czirók, A.: Multicellular sprouting in vitro. Biophys. J. 95(6),
2702-2710 (2008). doi:
10.1529/biophysj.108.129668
10. Szabó, A., Czirók, A.: The role of cell-cell adhesion in the formation of multicellular sprouts.
Math. Model. Nat. Phenom. 5 (1) (2010). doi:
10.1051/mmnp/20105105
11. Bauer, A., Jackson, T., Jiang, Y.: A cell-based model exhibiting branching and anastomosis
during tumor-induced angiogenesis. Biophys. J. 92(9), 3105-3121 (2007)
12. Bentley, K., Gerhardt, H., Bates, P.: Agent-based simulation of notch-mediated tip cell
selection
in
angiogenic
sprout
initialisation.
J.
Theor.
Biol.
250(1),
25-36
(2008).
13. Merks, R., Brodsky, S., Goligorksy, M., Newman, S., Glazier, J.: Cell elongation is key to in
silico replication of in vitro vasculogenesis and subsequent remodeling. Dev. Biol. 289,
44-54 (2006)
Search WWH ::
Custom Search