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Available from: <ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" ext-link-type=\"uri\" xlink:href=\"http:\/\/github.com\/mnewberry\/angicart\" xlink:type=\"simple\">github.com\/mnewberry\/angicart<\/ext-link>."},{"issue":"8","key":"ref44","doi-asserted-by":"crossref","first-page":"2993","DOI":"10.1172\/JCI57567","article-title":"Matrix Gla protein deficiency causes arteriovenous malformations in mice","volume":"121","author":"Y Yao","year":"2011","journal-title":"The Journal of clinical investigation"},{"issue":"1","key":"ref45","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1104\/pp.110.162834","article-title":"Leaf extraction and analysis framework graphical user interface: Segmenting and analyzing the structure of leaf veins and areoles","volume":"155","author":"CA Price","year":"2011","journal-title":"Plant Physiology"},{"key":"ref46","article-title":"Hierarchical ordering of reticular networks","author":"Y Mileyko","year":"2012","journal-title":"PLoS One"},{"key":"ref47","doi-asserted-by":"crossref","first-page":"832","DOI":"10.1104\/pp.111.173856","article-title":"Decline of leaf hydraulic conductance with leaf hydration: relationship to leaf size and venation architecture","volume":"156","author":"C Scoffoni","year":"2011","journal-title":"Plant Physiology"},{"issue":"6","key":"ref48","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1113\/jphysiol.1919.sp001844","article-title":"The Supply of Oxygen to the Tissues and the Regulation of the Capillary Circulation","volume":"52","author":"A Krogh","year":"1919","journal-title":"Journal of Physiology"},{"issue":"6","key":"ref49","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1113\/jphysiol.1919.sp001838","article-title":"The Rate of Diffusion of Gases through Animal Tissues, with Some Remarks on the Coefficient of Invasion","volume":"52","author":"A Krogh","year":"1919","journal-title":"Journal of Physiology"},{"issue":"2","key":"ref50","doi-asserted-by":"crossref","first-page":"67","DOI":"10.2307\/2688424","article-title":"The three factory problem","volume":"38","author":"I Greenberg","year":"1965","journal-title":"Mathematics Magazine"},{"issue":"3","key":"ref51","doi-asserted-by":"crossref","first-page":"162","DOI":"10.2307\/2689310","article-title":"A geometrical solution of the three factory problem","volume":"39","author":"W Van de Lindt","year":"1966","journal-title":"Mathematics Magazine"},{"key":"ref52","first-page":"2008","article-title":"The weighted fermat triangle problem","author":"Y Shen","year":"2008","journal-title":"International Journal of Mathematics and Mathematical Sciences"},{"article-title":"Biodynamics","year":"1984","author":"YC Fung","key":"ref53"},{"article-title":"Biomechanics: Motion, Flow, Stress, and Growth","year":"1990","author":"YC Fung","key":"ref54"},{"key":"ref55","first-page":"301","article-title":"Graphics gems","author":"J Ritter","year":"1990"},{"key":"ref56","first-page":"325","article-title":"J Gen Physiol","volume":"81","author":"M Zamir","year":"1983"},{"issue":"2","key":"ref57","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1113\/jphysiol.2013.261099","article-title":"Branching patterns emerge in a mathematical model of the dynamics of lung development","volume":"592","author":"Y Guo","year":"2014","journal-title":"The Journal of physiology"},{"key":"ref58","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1038\/nature07005","article-title":"The branching programme of mouse lung development","volume":"453","author":"RJ Metzger","year":"2008","journal-title":"Nature"},{"key":"ref59","doi-asserted-by":"crossref","unstructured":"Jakulin A, Bratko I, editors. 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