Fractal analysis of vascular networks: insights from morphogenesis.
暂无分享,去创建一个
[1] D. Zwillinger. Handbook of differential equations , 1990 .
[2] Edward A. Codling,et al. Random walk models in biology , 2008, Journal of The Royal Society Interface.
[3] Sylvie Lorthois,et al. During vertebrate development, arteries exert a morphological control over the venous pattern through physical factors. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[4] Francis Cassot,et al. Morphometry of the human cerebral cortex microcirculation: General characteristics and space-related profiles , 2008, NeuroImage.
[5] Laurent Risser,et al. From Homogeneous to Fractal Normal and Tumorous Microvascular Networks in the Brain , 2007, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.
[6] Bin Tean Teh,et al. Two Distinct Types of Blood Vessels in Clear Cell Renal Cell Carcinoma Have Contrasting Prognostic Implications , 2007, Clinical Cancer Research.
[7] Philipp Schneider,et al. Hierarchical microimaging for multiscale analysis of large vascular networks , 2006, NeuroImage.
[8] L. Preziosi,et al. Mechanics and Chemotaxis in the Morphogenesis of Vascular Networks , 2006, Bulletin of mathematical biology.
[9] Vincent Fleury,et al. Dynamics of vascular branching morphogenesis: the effect of blood and tissue flow. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[10] 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.
[11] Luigi Pannarale,et al. Fractal and Fourier analysis of the hepatic sinusoidal network in normal and cirrhotic rat liver , 2005, Journal of anatomy.
[12] Roeland M. H. Merks,et al. Contact-Inhibited Chemotaxis in De Novo and Sprouting Blood-Vessel Growth , 2005, PLoS Comput. Biol..
[13] M. Plank,et al. Lattice and non-lattice models of tumour angiogenesis , 2004, Bulletin of mathematical biology.
[14] B. Masters,et al. Fractal analysis of the vascular tree in the human retina. , 2004, Annual review of biomedical engineering.
[15] B Weyn,et al. Determination of tumour prognosis based on angiogenesis-related vascular patterns measured by fractal and syntactic structure analysis. , 2004, Clinical oncology (Royal College of Radiologists (Great Britain)).
[16] S. Hartley,et al. Uses and abuses of fractal methodology in ecology , 2004 .
[17] H. Othmer,et al. Mathematical modeling of tumor-induced angiogenesis , 2004, Journal of mathematical biology.
[18] Li Yuan,et al. Flow regulates arterial-venous differentiation in the chick embryo yolk sac , 2003, Development.
[19] H. Schmid-Schönbein,et al. MEASURING THE FRACTAL DIMENSION OF THE MICROVASCULAR NETWORK OF THE CHORIOALLANTOIC MEMBRANE , 2003 .
[20] Heinz-Otto Peitgen,et al. FRACTAL PROPERTIES, SEGMENT ANATOMY, AND INTERDEPENDENCE OF THE HUMAN PORTAL VEIN AND THE HEPATIC VEIN IN 3D , 2003 .
[21] F Grizzi,et al. Correspondence re: E. Sabo et al., Microscopic Analysis and Significance of Vascular Architectural Complexity in Renal Cell Carcinoma. Clin. Cancer Res., 7: 533-537, 2001. , 2001, Clinical cancer research : an official journal of the American Association for Cancer Research.
[22] László Kocsis,et al. Fractal Branching Pattern in the Pial Vasculature in the Cat , 2001, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.
[23] Vincent Fleury,et al. Branching in Nature , 2001, Centre de Physique des Houches.
[24] H Kurz,et al. Structural and biophysical simulation of angiogenesis and vascular remodeling , 2001, Developmental dynamics : an official publication of the American Association of Anatomists.
[25] E. Sabo,et al. Microscopic analysis and significance of vascular architectural complexity in renal cell carcinoma. , 2001, Clinical cancer research : an official journal of the American Association for Cancer Research.
[26] Sybill Patan,et al. Vasculogenesis and Angiogenesis as Mechanisms of Vascular Network Formation, Growth and Remodeling , 2000, Journal of Neuro-Oncology.
[27] Vincent Fleury,et al. MODELISATION OF 3-D MICROVASCULATURE BY INTERLACED DIFFUSION LIMITED AGGREGATION , 2000 .
[28] Ghassan S. Kassab,et al. The Coronary Vasculature and its Reconstruction , 2000, Annals of Biomedical Engineering.
[29] Fleury. Branching morphogenesis in a reaction-diffusion model , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[30] James H. Brown,et al. The fourth dimension of life: fractal geometry and allometric scaling of organisms. , 1999, Science.
[31] Vincent Fleury,et al. DIFFUSION LIMITED AGGREGATION FROM SHEAR STRESS AS A SIMPLE MODEL OF VASCULOGENESIS , 1999 .
[32] S. Kyriacos,et al. Dynamic study of the extraembryonic vascular network of the chick embryo by fractal analysis. , 1998, Journal of theoretical biology.
[33] D L Bergman,et al. Scaling properties of the placenta's arterial tree. , 1998, Journal of theoretical biology.
[34] P. Parsons-Wingerter,et al. A novel assay of angiogenesis in the quail chorioallantoic membrane: stimulation by bFGF and inhibition by angiostatin according to fractal dimension and grid intersection. , 1998, Microvascular research.
[35] G. Berntson,et al. Correcting for finite spatial scales of self–similarity when calculating fractal dimensions of real–world structures , 1997, Proceedings of the Royal Society of London. Series B: Biological Sciences.
[36] H. Honda,et al. Formation of the branching pattern of blood vessels in the wall of the avian yolk sac studied by a computer simulation , 1997, Development, growth & differentiation.
[37] H Kurz,et al. Measuring fractal dimension and complexity — an alternative approach with an application , 1997, Journal of microscopy.
[38] W. Risau,et al. Mechanisms of angiogenesis , 1997, Nature.
[39] David R. Noble,et al. Questions in Fluid Mechanics: Tortuous Micro-Flow in Large Disordered Packed Beds , 1996 .
[40] G. Martiny-Baron,et al. VEGF121 induces proliferation of vascular endothelial cells and expression of flk-1 without affecting lymphatic vessels of chorioallantoic membrane. , 1996, Developmental biology.
[41] Biham,et al. Apparent fractality emerging from models of random distributions. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[42] J D Murray,et al. Use and abuse of fractal theory in neuroscience , 1995, The Journal of comparative neurology.
[43] P Sterling,et al. Retinal neurons and vessels are not fractal but space‐filling , 1995, The Journal of comparative neurology.
[44] Berk,et al. Scale-invariant behavior and vascular network formation in normal and tumor tissue. , 1995, Physical review letters.
[45] Daniel Platt,et al. Diffusion Limited Aggregation , 1995 .
[46] F. Pansera. Fractals and cancer. , 1994, Medical hypotheses.
[47] G S Kassab,et al. Diameter-defined Strahler system and connectivity matrix of the pulmonary arterial tree. , 1994, Journal of applied physiology.
[48] G S Kassab,et al. Morphometry of the dog pulmonary venous tree. , 1993, Journal of applied physiology.
[49] A. Pries,et al. Blood flow in microvascular networks. Experiments and simulation. , 1990, Circulation research.
[50] R K Jain,et al. Determinants of tumor blood flow: a review. , 1988, Cancer research.
[51] L. Pietronero,et al. Fractal Dimension of Dielectric Breakdown , 1984 .
[52] H. Duvernoy,et al. Cortical blood vessels of the human brain , 1981, Brain Research Bulletin.
[53] J. Bear. Dynamics of Fluids in Porous Media , 1975 .
[54] R. Courant,et al. Über die partiellen Differenzengleichungen der mathematischen Physik , 1928 .
[55] N. Bressloff,et al. Blood flow in microvascular networks , 2009 .
[56] Laurent Risser. Analyse quantitative de réseaux micro-vasculaires intra-corticaux , 2007 .
[57] V. Fleury,et al. A Link Between Dendritic Growth and Remodeling of Blood Vessels , 2001 .
[58] T. Jøssang,et al. Branched Patterns in Geology: Rivers and Other Systems , 2001 .
[59] D L T,et al. Networks with Side Branching in Biology , 1998 .
[60] S. Schmidt,et al. Quantitation of angiogenesis in the chick chorioallantoic membrane model using fractal analysis. , 1996, Microvascular research.
[61] T. Vicsek. Fractal Growth Phenomena , 1989 .