Русская версия English version   
Том 8   Выпуск 1   Год 2013
Хмель Т.А., Федоров А.В.

Моделирование пульсирующих течений в кровеносных капиллярах

Математическая биология и биоинформатика. 2013;8(1):1-11.

doi: 10.17537/2013.8.1.

Список литературы

  1. Caro CG, Pedley TG, Schroter RG, Seed WA. The mechanics of the circulation. New York: Oxford University Press; 1978.
  2. Jeong JH, Sugii Ya, Minamiyama M, Okamoto K. Measurement of RBC deformation and velocity in capillaries in vivo. Microvascular Research. 2006;71:212-217. doi: 10.1016/j.mvr.2006.02.006
  3. Lee JJ, Tyml K, Menkis AN, Novick RJ, Mckenzie FN. Evaluation of pulsatile and nonpulsatile flow in capillaries of goat skeletal muscle using intravital microscopy. Microvascular Research. 1994;48(3):316-327. doi: 10.1006/mvre.1994.1058
  4. Khmel' TA, Fedorov AV, Zakharov VN, Orlov VA, Panov SV. In: Mezhd. konf. 90-letiiu akad. N.N.Ianenko ”Sovremennye problemy prikladnoi matematiki i mekhaniki: teoriia, eksperiment i praktika” (30 maia – 4 iiunia 2011 g.) (Proceedings of the International Conference “Modern Problems of the Applied Mathematics and Mechanics: Theory, Experiment and Practice”, dedicated to the 90th anniversary of the birth of Academician Yanenko N.N. (May 30 – June 4, 2011)). Novosibirsk; 2011. http://conf.nsc.ru/niknik90  (accessed 11 October 2012) (in Russ.).
  5. Bagayev SN, Zakharov VN, Orlov VA, Panov SV, Fomin YuN. Investigation of physical mechanisms of blood microcirculation and transcapillary exchange by using the phase sensitive laser method. Russian Journal of Biomechanics. 2006;10(3):21-38 (in Russ.).
  6. Bagayev SN, Zakharov VN, Orlov VA, Panov SV, Ratushnyak AS, Zapara TA. Regulation of the transcapillary exchange by pulse pressure blood. Russian Journal of Biomechanics. 2008;12(3):7-14.
  7. Egorov VA, Regirer SA, Shadrina NKh. Blood flow in the muscle microvasculature in the presence of regulatory reactions: Quasisteady problems. Fluid Dynamics . 1993;28(1):104-110. doi: 10.1007/BF01055672
  8. Regirer SA, Shadrina NKh. Biofizika (Biophysics) . 1994;39(1):107-115 (in Russ.).
  9. Regirer SA, Shadrina NK. A Simple Model of a Vessel With a Wall Sensitive to Mechanical Stimuli. Biophysics. 2002;47(5):908-913.
  10. Shadrina NKh, Buchin VA. Mathematical Modeling of the Response of a Resistive Vessel to Pressure. Biophysics. 2009;54(2):267-273. doi: 10.1134/S0006350909020134
  11. Buchin VA, Shadrina NK. Regulation of the lumen of a resistance blood vessel by mechanical stimuli. Fluid Dynamics. 2010;45(2):211-222. doi: 10.1134/S0015462810020067
  12. Shabrykina NS. Mathematical Modelling of Microcirculation. Russian Journal of Biomechanics. 2006;10(4):70-83 (in Russ.).
  13. Shabrykina NS. Modelling of microcirculation: unsteady interstitial fluid flow in tissue. Izv. Saratov. Univ. Mat. Mekh. Inform. 2007;7(1):69-73 (in Russ.).
  14. Khmel' T, Fedorov A, Fomin V, Orlov V. Journal of Applied Mechanics and Technical Physics. 2011;52(2):234. doi: 10.1134/S0021894411020118
  15. Pozrikidis C. Axisymmetric motion of a file of red blood cells through capillaries. Physics of Fluids. 2005;17(3):031503-031514. doi: 10.1063/1.1830484
  16. Secomb TW. Mechanics and computational simulation of blood flow in microvessels. Medical Engineering & Physics. 2011;33(7):800-804.
  17. Medvedev AE, Samsonov VI, Fomin VM. Mathematical Modeling of the Blood Flow in Blood Vessels. In: Circulatory System and Arterial Hypertension: Experimental Investigation, Mathematical and Computer Simulation. Novosibirsk; 2008. P. 80-105 (in Russ.).
  18. Ovsiannikov LV. Lektsii po osnovam gazovoi dinamiki (Lectures on the Fundamentals of Gas Dynamics). Novosibirsk; 1967 (in Russ.).
  19. Fedorov AV, Fomin VM. Matematicheskoe modelirovanie raboty magistral'nykh truboprovodov: preprint 35-83 Instituta teoreticheskoi i prikladnoi mekhaniki Sibirskogo otdeleniia AN SSSR (Mathematical Modeling of Processes in Transfer Pipelines. Preprint No 35-83. S.A. Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Academy of Sciences of the USSR). Novosibirsk: ITPM SB RAS; 1983 (in Russ.).
  20. Zweifach BW. Quantitative Studies of Microcirculatory Structure and Function: II. Direct Measurement of Capillary Pressure in Splanchnic Mesenteric Vessels. Circulation Research. 1974;34:858-866. doi: 10.1161/01.RES.34.6.858
Содержание Оригинальная статья
Мат. биол. и биоинф.
2013;8(1):1-11
doi: 10.17537/2013.8.1
опубликована на рус. яз.

Аннотация (рус.)
Аннотация (англ.)
Полный текст (рус., pdf)
Список литературы

 

  Copyright ИМПБ РАН © 2005-2022