Planar cell polarity genes frizzled4 and frizzled6 exert patterning influence on arterial vessel morphogenesis

Quantitative analysis of the vascular network anatomy is critical for the understanding of the vasculature structure and function. In this study, we have combined microcomputed tomography (microCT) and computational analysis to provide quantitative three-dimensional geometrical and topological characterization of the normal kidney vasculature, and to investigate how 2 core genes of the Wnt/planar cell polarity, Frizzled4 and Frizzled6, affect vascular network morphogenesis. Experiments were performed on frizzled4 (Fzd4-/-) and frizzled6 (Fzd6-/-) deleted mice and littermate controls (WT) perfused with a contrast medium after euthanasia and exsanguination. The kidneys were scanned with a high-resolution (16 μm) microCT imaging system, followed by 3D reconstruction of the arterial vasculature. Computational treatment includes decomposition of 3D networks based on Diameter-Defined Strahler Order (DDSO). We have calculated quantitative (i) Global scale parameters, such as the volume of the vasculature and its fractal dimension (ii) Structural parameters depending on the DDSO hierarchical levels such as hierarchical ordering, diameter, length and branching angles of the vessel segments, and (iii) Functional parameters such as estimated resistance to blood flow alongside the vascular tree and average density of terminal arterioles. In normal kidneys, fractal dimension was 2.07±0.11 (n = 7), and was significantly lower in Fzd4-/- (1.71±0.04; n = 4), and Fzd6-/- (1.54±0.09; n = 3) kidneys. The DDSO number was 5 in WT and Fzd4-/-, and only 4 in Fzd6-/-. Scaling characteristics such as diameter and length of vessel segments were altered in mutants, whereas bifurcation angles were not different from WT. Fzd4 and Fzd6 deletion increased vessel resistance, calculated using the Hagen-Poiseuille equation, for each DDSO, and decreased the density and the homogeneity of the distal vessel segments. Our results show that our methodology is suitable for 3D quantitative characterization of vascular networks, and that Fzd4 and Fzd6 genes have a deep patterning effect on arterial vessel morphogenesis that may determine its functional efficiency.

[1]  Y. Huo,et al.  Scaling laws of coronary circulation in health and disease. , 2016, Journal of biomechanics.

[2]  Holger Gerhardt,et al.  Non-canonical Wnt signalling modulates the endothelial shear stress flow sensor in vascular remodelling , 2016, eLife.

[3]  J. Mulliken,et al.  Regulatory variant in FZD6 gene contributes to nonsyndromic cleft lip and palate in an African-American family , 2015, Molecular genetics & genomic medicine.

[4]  John H. Zhang,et al.  Norrin Protected Blood–Brain Barrier Via Frizzled-4/&bgr;-Catenin Pathway After Subarachnoid Hemorrhage in Rats , 2015, Stroke.

[5]  J. Nathans,et al.  Partial interchangeability of Fz3 and Fz6 in tissue polarity signaling for epithelial orientation and axon growth and guidance , 2014, Development.

[6]  T. Couffinhal,et al.  The ubiquitin ligase PDZRN3 is required for vascular morphogenesis through Wnt/planar cell polarity signalling , 2014, Nature Communications.

[7]  G. Schulte,et al.  Assessment of Frizzled 6 membrane mobility by FRAP supports G protein coupling and reveals WNT-Frizzled selectivity. , 2014, Cellular signalling.

[8]  Wei Sun,et al.  Polymorphisms in FZD3 and FZD6 genes and risk of neural tube defects in a northern Han Chinese population , 2014, Neurological Sciences.

[9]  Kshitij Srivastava,et al.  Endothelial cell-derived non-canonical Wnt ligands control vascular pruning in angiogenesis , 2014, Journal of Cell Science.

[10]  G. Schulte,et al.  Disheveled regulates precoupling of heterotrimeric G proteins to Frizzled 6 , 2014, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[11]  Nidhal Khdhair El Abbadi,et al.  Blood Vessels Extraction using Mathematical Morphology , 2013, J. Comput. Sci..

[12]  W. McLean,et al.  Recessive mutations in the gene encoding frizzled 6 cause twenty nail dystrophy--expanding the differential diagnosis for pachyonychia congenita. , 2013, Journal of dermatological science (Amsterdam).

[13]  J. Nathans,et al.  Norrin/Frizzled4 Signaling in Retinal Vascular Development and Blood Brain Barrier Plasticity , 2012, Cell.

[14]  Thierry Couffinhal,et al.  Frizzled 4 Regulates Arterial Network Organization Through Noncanonical Wnt/Planar Cell Polarity Signaling , 2012, Circulation research.

[15]  D. Rice,et al.  Frizzled 4 is required for retinal angiogenesis and maintenance of the blood-retina barrier. , 2011, Investigative ophthalmology & visual science.

[16]  J. Pollard,et al.  Regulation of angiogenesis by a non-canonical Wnt-Flt1 pathway in myeloid cells , 2011, Nature.

[17]  T. Couffinhal,et al.  Hypoxia Preconditioned Mesenchymal Stem Cells Improve Vascular and Skeletal Muscle Fiber Regeneration After Ischemia Through a Wnt4-dependent Pathway. , 2010, Molecular therapy : the journal of the American Society of Gene Therapy.

[18]  T. P. Rao,et al.  An updated overview on Wnt signaling pathways: a prelude for more. , 2010, Circulation research.

[19]  O. Carretero,et al.  Enhanced myogenic response in the afferent arteriole of spontaneously hypertensive rats. , 2010, American journal of physiology. Heart and circulatory physiology.

[20]  Lyubomir Zagorchev,et al.  Micro computed tomography for vascular exploration , 2010, Journal of angiogenesis research.

[21]  Sylvie Lorthois,et al.  Fractal analysis of vascular networks: insights from morphogenesis. , 2010, Journal of theoretical biology.

[22]  Sylvie Lorthois,et al.  Branching patterns for arterioles and venules of the human cerebral cortex , 2010, Brain Research.

[23]  D. Rice,et al.  TSPAN12 Regulates Retinal Vascular Development by Promoting Norrin- but Not Wnt-Induced FZD4/β-Catenin Signaling , 2009, Cell.

[24]  J. Nathans,et al.  Norrin, Frizzled-4, and Lrp5 Signaling in Endothelial Cells Controls a Genetic Program for Retinal Vascularization , 2009, Cell.

[25]  Nacim Betrouni,et al.  Fractal and multifractal analysis: A review , 2009, Medical Image Anal..

[26]  Cassot Francis,et al.  Scaling Laws for Branching Vessels of Human Cerebral Cortex , 2009 .

[27]  Y. Huo,et al.  The scaling of blood flow resistance: from a single vessel to the entire distal tree. , 2009, Biophysical journal.

[28]  Paul Skoglund,et al.  The forces that shape embryos: physical aspects of convergent extension by cell intercalation , 2008, Physical biology.

[29]  J. Kitajewski,et al.  Wnt/Frizzled signaling in angiogenesis , 2008, Angiogenesis.

[30]  J. Kitajewski,et al.  Wnt/Frizzled signaling in the vasculature: new angiogenic factors in sight. , 2006, Physiology.

[31]  Wiro J. Niessen,et al.  Level set based cerebral vasculature segmentation and diameter quantification in CT angiography , 2006, Medical Image Anal..

[32]  Céline Fouard,et al.  A Novel Three‐Dimensional Computer‐Assisted Method for a Quantitative Study of Microvascular Networks of the Human Cerebral Cortex , 2006, Microcirculation.

[33]  Ghassan S. Kassab,et al.  Large-Scale 3-D Geometric Reconstruction of the Porcine Coronary Arterial Vasculature Based on Detailed Anatomical Data , 2005, Annals of Biomedical Engineering.

[34]  H. Ji,et al.  Wnt-4 activates the canonical beta-catenin-mediated Wnt pathway and binds Frizzled-6 CRD: functional implications of Wnt/beta-catenin activity in kidney epithelial cells. , 2004, Experimental cell research.

[35]  J. Nathans,et al.  Frizzled6 controls hair patterning in mice. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[36]  T. Golan,et al.  The Human Frizzled 6 (HFz6) Acts as a Negative Regulator of the Canonical Wnt·β-Catenin Signaling Cascade* , 2004, Journal of Biological Chemistry.

[37]  J. Nathans,et al.  Vascular Development in the Retina and Inner Ear Control by Norrin and Frizzled-4, a High-Affinity Ligand-Receptor Pair , 2004, Cell.

[38]  Renato Perucchio,et al.  A topology-preserving parallel 3D thinning algorithm for extracting the curve skeleton , 2003, Pattern Recognit..

[39]  Marek Mlodzik,et al.  Planar cell polarization: do the same mechanisms regulate Drosophila tissue polarity and vertebrate gastrulation? , 2002, Trends in genetics : TIG.

[40]  Roberto Marcondes Cesar Junior,et al.  Blood vessels segmentation in retina: preliminary assessment of the mathematical morphology and of the wavelet transform techniques , 2001, Proceedings XIV Brazilian Symposium on Computer Graphics and Image Processing.

[41]  Michael Kühl,et al.  Antagonistic regulation of convergent extension movements in Xenopus by Wnt/β-catenin and Wnt/Ca2+ signaling , 2001, Mechanisms of Development.

[42]  M. Rao,et al.  Frizzled-4 expression during chick kidney development , 2000, Mechanisms of Development.

[43]  K. Denton,et al.  Effects of angiotensin II on regional afferent and efferent arteriole dimensions and the glomerular pole. , 2000, American journal of physiology. Regulatory, integrative and comparative physiology.

[44]  S. Cross,et al.  Quantitation of the renal arterial tree by fractal analysis , 1993, The Journal of pathology.

[45]  G S Kassab,et al.  Coronary arterial tree remodeling in right ventricular hypertrophy. , 1993, The American journal of physiology.

[46]  G S Kassab,et al.  Morphometry of pig coronary arterial trees. , 1993, The American journal of physiology.

[47]  J. Gil-García,et al.  The arterial pattern and fractal dimension of the dog kidney. , 1992, Histology and histopathology.

[48]  Edsger W. Dijkstra,et al.  A note on two problems in connexion with graphs , 1959, Numerische Mathematik.

[49]  A. N. Strahler Quantitative analysis of watershed geomorphology , 1957 .

[50]  Félix Vargas,et al.  Influence of thyroid state on cardiac and renal capillary density and glomerular morphology in rats. , 2013, The Journal of endocrinology.

[51]  H. Duvernoy,et al.  Scaling laws for branching vessels of human cerebral cortex. , 2009, Microcirculation.

[52]  G. Losa The fractal geometry of life. , 2009, Rivista di biologia.

[53]  T. Couffinhal,et al.  Regulation of endothelial cell cytoskeletal reorganization by a secreted frizzled-related protein-1 and frizzled 4- and frizzled 7-dependent pathway: role in neovessel formation. , 2008, The American journal of pathology.

[54]  Aric Hagberg,et al.  Exploring Network Structure, Dynamics, and Function using NetworkX , 2008 .

[55]  Jean Serra,et al.  Image Analysis and Mathematical Morphology , 1983 .