caa a22 4500 477067441 CHVBK 20180405111416.0 cr unu---uuuuu 170330e19960701xx s 000 0 eng 10.1007/BF02459476 doi (NATIONALLICENCE)springer-10.1007/BF02459476 A study of the bifurcation behaviour of a model of flow through a collapsible tube [Elektronische Daten] [J. Armitstead, C. Bertram, O. Jensen] Most of the elastic tubes found in the mammalian body will collapse from a distended circular cross section and when collapsed may undergo flow-induced oscillations. A mathematical model describing fluid flow in a collapsible tube is analysed using the software package AUTO-86. AUTO-86 is used for continuation and bifurcation problems in systems of non-linear ordinary differential equations. The model is a third-order lumped-parameter type and is based on the classical "Starling resistor”; it describes the unsteady flow behaviour and, in particular, the experimentally observed self-excited oscillations, in a way which is simple enough to give physical understanding, yet still firmly based on fluid mechanical principles. Some of the bifurcation types found in this model bear close resemblance to the types suggested by experimental observations of self-excited oscillations in collapsible tubes; they thus shed some light on the various topological changes which occur in practice, particularly in view of the fact that some of the points found numerically are diffcult to achieve experimentally, while the existence of others can only be inferred indirectly and uncertainly from experiment. Society for Mathematical Biology, 1996 Armitstead J. Graduate School of Biomedical Engineering, University of New South Wales, 2052, Sydney, Australia aut Bertram C. Graduate School of Biomedical Engineering, University of New South Wales, 2052, Sydney, Australia aut Jensen O. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 9EW, Cambridge, England aut Bulletin of Mathematical Biology Kluwer Academic Publishers 58/4(1996-07-01), 611-641 0092-8240 58:4<611 1996 58 11538 https://doi.org/10.1007/BF02459476 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02459476 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Armitstead J. Graduate School of Biomedical Engineering, University of New South Wales, 2052, Sydney, Australia aut NATIONALLICENCE 700 1- Bertram C. Graduate School of Biomedical Engineering, University of New South Wales, 2052, Sydney, Australia aut NATIONALLICENCE 700 1- Jensen O. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 9EW, Cambridge, England aut NATIONALLICENCE 773 0- Bulletin of Mathematical Biology Kluwer Academic Publishers 58/4(1996-07-01), 611-641 0092-8240 58:4<611 1996 58 11538 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer