Architecture-dependent signal conduction in model networks of endothelial cells.

Signal conduction between endothelial cells along the walls of vessels appears to play an important role in circulatory function. A recently developed approach to calculate analytically the spectrum of propagating compositional waves in models of multicellular architectures is extended to study putative signal conduction dynamics across networks of endothelial cells. Here, compositional waves originate from negative feedback loops, such as between Ca2+ and inositol triphosphate (IP3) in endothelial cells, and are shaped by their connection topologies. We consider models of networks constituted of a main chain of endothelial cells and multiple side chains. The resulting transmission spectra encode information concerning the position and size of the side branches in the form of gaps. This observation suggests that endothelial cell networks may be able to "communicate" information regarding long-range order in their architecture.

[1]  L Preziosi,et al.  Percolation, morphogenesis, and burgers dynamics in blood vessels formation. , 2003, Physical review letters.

[2]  Thomas Höfer,et al.  Models of IP3 and Ca2+ oscillations: frequency encoding and identification of underlying feedbacks. , 2006, Biophysical journal.

[3]  J. Hoying,et al.  Implanted microvessels progress through distinct neovascularization phenotypes. , 2010, Microvascular research.

[4]  L. Dobrzynski,et al.  Eigenvectors of composite systems. II. Phonon eigenvectors in some layered materials , 1989 .

[5]  K. Dora.  Intercellular Ca2+ signalling: the artery wall. , 2001, Seminars in cell & developmental biology.

[6]  D. Welsh,et al.  Spread of vasodilatation and vasoconstriction along feed arteries and arterioles of hamster skeletal muscle , 1999, The Journal of physiology.

[7]  L. Dobrzynski,et al.  Eigenvectors of composite systems. I. General theory , 1989 .

[8]  K Bauer,et al.  Folliculostellate cell network: A route for long-distance communication in the anterior pituitary , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[9]  L. E. Scriven,et al.  Interactions of reaction and diffusion in open systems , 1969 .

[10]  L. Dobrzynski,et al.  Introduction à une théorie des systèmes composites : exemples simples de matériaux lamellaires , 1993 .

[11]  Ferdinand le Noble,et al.  What determines blood vessel structure? Genetic prespecification vs. hemodynamics. , 2006, Physiology.

[12]  P. De Koninck,et al.  Sensitivity of CaM kinase II to the frequency of Ca2+ oscillations. , 1998, Science.

[13]  Guy Salama,et al.  Propagated Endothelial Ca2+ Waves and Arteriolar Dilation In Vivo: Measurements in Cx40BAC-GCaMP2 Transgenic Mice , 2007, Circulation research.

[14]  L E Scriven,et al.  Instability and dynamic pattern in cellular networks. , 1971, Journal of theoretical biology.

[15]  R. Thomas,et al.  Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior. , 2001, Chaos.

[16]  L. Dobrzynski.  Interface response theory of discrete composite systems , 1986 .

[17]  B. Djafari-Rouhani,et al.  Photon, electron, magnon, phonon and plasmon mono-mode circuits , 2004 .

[18]  Axel R Pries,et al.  Modeling Structural Adaptation of Microcirculation , 2008, Microcirculation.

[19]  L. Preziosi,et al.  Modeling the early stages of vascular network assembly , 2003, The EMBO journal.

[20]  P. Karczewski,et al.  Calcium/Calmodulin-dependent Protein Kinase IIδ2 and γ Isoforms Regulate Potassium Currents of Rat Brain Capillary Endothelial Cells under Hypoxic Conditions* , 2002, The Journal of Biological Chemistry.

[21]  James B. Hoying,et al.  Resonant filtering of compositional waves in multicellular networks , 2008 .

[22]  Joe G. N. Garcia,et al.  CaM Kinase II-dependent pathophysiological signalling in endothelial cells. , 2008, Cardiovascular research.