caa a22 4500 477067468 CHVBK 20180405111416.0 cr unu---uuuuu 170330e19960701xx s 000 0 eng 10.1007/BF02459481 doi (NATIONALLICENCE)springer-10.1007/BF02459481 Mayer Stefan Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, 216, Talbot Laboratory, 104 S. Wright Street, 61801, Urbana, IL, U.S.A. aut On the pressure and flow-rate distributions in tree-like and arterial-venous networks [Elektronische Daten] [Stefan Mayer] A solution algorithm yielding the pressure and flow-rate distributions for steady flow in an arbitrary, tree-like network is provided. Given the tree topology, the conductance of each segment and the pressure distribution at the boundary nodes, the solution is obtained from a simple recursion based on perfect Gauss elimination. An iterative solution method using this algorithm is suggested to solve for the pressure and flow-rate distributions in an arbitrary diverging-converging (arterial-venous) network consisting of two tree-like networks which are connected to each other at the capillary nodes. A number of special solutions for tree-like networks are obtained for which the general algorithm is either simplified or can be replaced by closed form solutions of the pressure and flow-rate distributions. These special solutions can also be obtained for each tree of diverging-converging networks having particular topologies and conductance distributions. Sample numerical results are provided. Society for Mathematical Biology, 1996 Bulletin of Mathematical Biology Kluwer Academic Publishers 58/4(1996-07-01), 753-785 0092-8240 58:4<753 1996 58 11538 https://doi.org/10.1007/BF02459481 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02459481 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mayer Stefan Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, 216, Talbot Laboratory, 104 S. Wright Street, 61801, Urbana, IL, U.S.A aut NATIONALLICENCE 773 0- Bulletin of Mathematical Biology Kluwer Academic Publishers 58/4(1996-07-01), 753-785 0092-8240 58:4<753 1996 58 11538 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer