On a Model of Tree Growth

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Previous article Next article On a Model of Tree GrowthM. A. Antonets and I. A. ShereshevskiiM. A. Antonets and I. A. Shereshevskiihttps://doi.org/10.1137/1136065PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. A. Antonets, , M. A. Antonets and , A. V. Kudryashov, On a possibility of autowave phenomena in networks of small blood-vesselsAutowave Processes in Diffusion Systems, Institute of Applied Physics of USSR Academy Sci., Gorky, 1981, 228–252, (In Russian.) Google Scholar[2] V. A. Antonets, , M. A. Antonets and , A. V. Kudryashov, On the influence of collective effects on blood flow in networks of small vessels, Interacting Markov Processes and Their Application to the Mathematical Simulation of Biological Systems, Pushchino, 1982, 108–118, (In Russian.) Google Scholar[3] V. A. Antonets and , M. A. Antonets, On interaction of small vessels and the structure of blood flow in their networks, 1983, Preprint No. 177, Institute of Applied Physics of USSR Academy Sci., Gorky, (In Russian.) Google Scholar[4] V. A. Antonets, , M. A. Antonets and , I. A. Shereshevskii, Statistical dynamics of blood flow in a network of small vessels, Medical Biomechanics, Vol. 4, Riga, 1986, 37–43, (In Russian.) Google Scholar[5] V. A. Antonets, , M. A. Antonets and , I. A. Shereshevskii, M. A. Rabinovich, Stochastic dynamics of pattern formation in diskete systemsNonlinear Waves. Physics and Astrophysics, Springer-Verlag, New York, 1989, 65–89 Google Scholar[6] O. N. Stavskaya and , I. I. Pyateckii-Sapiro, Homogeneous networks of spontaneously active elements, Problemy Kibernet. No., 20 (1968), 91–106, (In Russian.) 44:3720 0191.31102 Google Scholar[7] M. G. Shnirman, On the question of the ergodicity of a certain Markov chain, Problemy Kibernet., (1968), 115–122 45:7826 Google Scholar[8] A. L. Toom, A family of uniform nets of formal neutrons, Soviet Math. Dokl., 9 (1968), 1338–1341 0186.51101 Google Scholar[9] N. B. Vasil'ev, Correlation equations for the stationary measure of a Markov chain, Theory Probab. Appl., 15 (1970), 521–525 10.1137/1115056 0219.60051 LinkGoogle Scholar[10] L. N. Vassershtein and , A. M. Leontovich, On the invariant measures of some Markov operators describing a homogeneous random medium, Problems Inform. Transmission, 6 (1970), 71–80, (In Russian.) Google Scholar[11] A. N. Chetaev, Neuron Networks and Markov Chains, Nauka, Moscow, 1985, (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Volume 36, Issue 3| 1992Theory of Probability & Its Applications427-645 History Submitted:06 November 1989Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1136065Article page range:pp. 565-570ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics