Все выпуски

Математическое моделирование распространения тромбина в процессе свертывания крови

 pdf (260K)  / Аннотация

Список литературы:

  1. M. Anand, K. Rajagopal, K. R. Rajagopal. A model for the formation, growth, and lysis of clots in quiescent plasma. A comparison between the effects of antithrombin III deficiency and protein C deficiency // Journal of Theoretical Biology. 2008. — V. 253, no. 4. — P. 725–738. — DOI: 10.1016/j.jtbi.2008.04.015. — MathSciNet: MR0265110.
  2. F. I. Ataullakhanov, G. T. Guria, V. I. Sarbash, R. I. Volkova. Spatiotemporal dynamics of clotting and pattern formation in human blood // Biochimica et biophysica acta. 1998. — V. 1425, no. 3. — P. 453–468. — DOI: 10.1016/S0304-4165(98)00102-0.
  3. F. I. Ataullakhanov, Y. V. Krasotkina, V. I. Sarbash, et al. Spatio-Temporal Dynamics of Blood Coagulation and Pattern Formation: a Theoretical Approach // International Journal of Bifurcation and Chaos. 2002. — V. 12, no. 9. — P. 1969–1983. — DOI: 10.1142/S0218127402005637. — MathSciNet: MR1930907.
  4. F. I. Ataullakhanov, A. V. Pohilko, E. I. Sinauridze, R. I. Volkova. Calcium threshold in human plasma clotting kinetics // Thrombosis Research. 1994. — V. 75, no. 4. — P. 383–394. — DOI: 10.1016/0049-3848(94)90253-4.
  5. R. J. Baugh, S. Krishnaswamy. Role of the Activation Peptide Domain in Human Factor X Activation by the Extrinsic Xase Complex // J Biol Chem. 1996. — V. 271, no. 27. — P. 16126–16134. — DOI: 10.1074/jbc.271.27.16126.
  6. A. Bouchnita, A. Tosenberger, V. Volpert. On the regimes of blood coagulation // Applied Mathematics Letters. 2016. — V. 51. — P. 74–79. — DOI: 10.1016/j.aml.2015.07.010. — MathSciNet: MR3396350.
  7. S. Butenas, K. G. Mann. Blood coagulation // Biochemistry (Moscow). 2001. — V. 61, no. 3. — P. 3–12.
  8. S. Butenas, T. Orfeo, M. T. Gissel, et al. The significance of circulating factor IXa in blood // Journal of Biological Chemistry. 2004. — V. 279, no. 22. — P. 22875–82. — DOI: 10.1074/jbc.M400531200.
  9. N. M. Dashkevich, M. V. Ovanesov, A. N. Balandina, et al. Thrombin activity propagates in space during blood coagulation as an excitation wave // Biophysical Journal. 2012. — V. 103, no. 10. — P. 2233–2240. — DOI: 10.1016/j.bpj.2012.10.011.
  10. D. Gailani, G. J. Broze. Factor XI Activation in a Revised Model of Blood Coagulation // Science. 1991. — V. 253, no. 5022. — P. 909–912. — DOI: 10.1126/science.1652157.
  11. T. Galochkina, A. Bouchnita, P. Kurbatova, V. Volpert. Reaction-diffusion waves of blood coagulation. 2016. — arXiv:1604.07635. — MathSciNet: MR3638201.
  12. K. Guria, G. Guria. Spatial aspects of blood coagulation: Two decades of research on the self-sustained traveling wave of thrombin // Thrombosis Research. 2015. — V. 135, no. 3. — P. 423–433. — DOI: 10.1016/j.thromres.2014.12.014.
  13. H. C. Hemker. Thrombin generation, an essential step in haemostasis and thrombosis // Haemostasis and thrombosis. 1993. — V. 3. — P. 477–491.
  14. H. C. Hemker, S. B´eguin. Thrombin generation in plasma: its assessment via the endogenous thrombin potential // Thrombosis and haemostasis. 1995. — V. 74, no. 1. — P. 134–8.
  15. M. F. Hockin, K. C. Jones, S. J. Everse, K. G. Mann. A model for the stoichiometric regulation of blood coagulation // Journal of Biological Chemistry. 2002. — V. 277, no. 21. — P. 18322–18333. — DOI: 10.1074/jbc.M201173200.
  16. J. Jesty. Analysis of the generation and inhibition of activated coagulation factor X in pure systems and in human plasma // Journal of Biological Chemistry. 1986. — V. 261, no. 19. — P. 8695–8702.
  17. Y. V. Krasotkina, E. I. Sinauridze, F. I. Ataullakhanov. Spatiotemporal dynamics of fibrin formation and spreading of active thrombin entering non-recalcified plasma by diffusion // Biochimica et Biophysica Acta - General Subjects. 2000. — V. 1474, no. 3. — P. 337–345. — DOI: 10.1016/S0304-4165(00)00019-2.
  18. K. Leiderman, A. L. Fogelson. Grow with the flow: A spatial-temporal model of platelet deposition and blood coagulation under flow // Mathematical Medicine and Biology. 2011. — V. 28, no. 1. — P. 47–84. — DOI: 10.1093/imammb/dqq005. — MathSciNet: MR2782534. — zbMATH: Zbl 1211.92030.
  19. D. D. Monkovic, P. B. Tracy. Functional characterization of human platelet-released factor V and its activation by factor Xa and thrombin // J Biol Chem. 1990. — V. 265, no. 18. — P. 17132–17141.
  20. P. F. Neuenschwander, J. Jesty. Thrombin-activated and factor Xa-activated human factor VIII: Differences in cofactor activity and decay rate // Archives of Biochemistry and Biophysics. 1992. — V. 296, no. 2. — P. 426–434. — DOI: 10.1016/0003-9861(92)90593-L.
  21. T. Orfeo, K. E. Brummel-Ziedins, M. Gissel, et al. The nature of the stable blood clot procoagulant activities // Journal of Biological Chemistry. 2008. — V. 283, no. 15. — P. 9776–9786. — DOI: 10.1074/jbc.M707435200.
  22. T. Orfeo, S. Butenas, K. E. Brummel-Ziedins, K. G. Mann. The tissue factor requirement in blood coagulation // Journal of Biological Chemistry. 2005. — V. 280, no. 52. — P. 42887–42896. — DOI: 10.1074/jbc.M505506200.
  23. M. V. Ovasenov, N. M. Ananyeva, M. A. Panteleev, et al. Initiation and propagation of coagulation from tissue factor-benfin cell monolayers to plasma: initiator cells do not regulate spatial growth rate // J Thromb Haemost. 2005. — V. 3. — P. 321–31. — DOI: 10.1111/j.1538-7836.2005.01128.x.
  24. M. A. Panteleev, M. V. Ovanesov, D. A. Kireev, et al. Spatial Propagation and Localization of Blood Coagulation Are Regulated by Intrinsic and Protein C Pathways, Respectively // Biophysical Journal. 2006. — V. 90, no. 5. — P. 1489–1500. — DOI: 10.1529/biophysj.105.069062.
  25. E. A. Pogorelova, A. I. Lobanov. Influence of enzymatic reactions on blood coagulation autowave // Biophysics. 2014. — V. 59, no. 1. — P. 110–118. — DOI: 10.1134/S0006350914010151.
  26. J. S. Rosenberg, P. W. Mckenna. Inhibition of Human Factor IX , by Human Antithrombin // Journal of Biological Chemistry. 1975. — V. 250, no. 23. — P. 8883–8889.
  27. J. Rosing, G. Tans, J. W. P. Goversriemslag, et al. Role of Phospholipids and Factor-Va in the Prothrombinase Complex // Journal of Biological Chemistry. 1980. — V. 255, no. 1. — P. 274–283.
  28. O. Rukhlenko, O. Dudchenko, K. Zlobina, G. Guria. Mathematical modeling of intravascular blood coagulation under wall shear stress // PLoS ONE. 2015. — V. 10, no. 7. — P. 1–16. — DOI: 10.1371/journal.pone.0134028.
  29. J. M. Scandura, P. N. Walsh. Factor X bound to the surface of activated human platelets is preferentially activated by platelet-bound factor IXa // Biochemistry. 1996. — V. 35, no. 27. — P. 8903–13. — DOI: 10.1021/bi9525031.
  30. C. F. Scott, M. Schapira, H. L. James, et al. Inactivation of factor XIa by plasma protease inhibitors: predominant role of alpha 1-protease inhibitor and protective effect of high molecular weight kininogen // The Journal of clinical investigation. 1982. — V. 69, no. 4. — P. 844–52. — DOI: 10.1172/JCI110524.
  31. W. Stortelder, P. W. Hemker. Mathematical modelling in blood coagulation ; Simulation and parameter estimation // Report - Modelling, analysis and simulation. 1997. — V. 20. — P. 1–11.
  32. A. Tokarev, Y. Krasotkina, M. Ovanesov, et al. Spatial Dynamics of Contact-Activated Fibrin Clot Formation in vitro and in silico in Haemophilia B: Effects of Severity and Ahemphil B Treatment // Math. Model. Nat. Phenom. 2006. — V. 1, no. 2. — P. 124–137. — DOI: 10.1051/mmnp:2008007. — MathSciNet: MR2447115. — zbMATH: Zbl 1337.92039.
  33. G. Van Dieijen, G. Tans, J. Rosing, H. C. Hemker. The role of phospholipid and factor VIII(a) in the activation of bovine factor X // Journal of Biological Chemistry. 1981. — V. 256, no. 7. — P. 3433–3442.
  34. A. I. Volpert, V. A. Volpert, V. A. Volpert. Traveling Wave Solutions of Parabolic Systems. — Providence, Rhode Island: American Mathematical Society, 1994. — V. 140. — P. 448. — Translation edition. — MathSciNet: MR1297766.
  35. V. Volpert. Elliptic Partial Differential Equations. — Basel: Springer Basel, 2014. — V. 104. — P. 469–478. — Monographs edition. — MathSciNet: MR3308135.
  36. V. I. Zarnitsina, F. I. Ataullakhanov, A. I. Lobanov, O. L. Morozova. Dynamics of spatially nonuniform patterning in the model of blood coagulation // Chaos. 2001. — V. 11, no. 1. — P. 57–70. — DOI: 10.1063/1.1345728. — zbMATH: Zbl 0991.92006.
  37. V. I. Zarnitsina, A. V. Pokhilko, F. I. Ataullakhanov. A mathematical model for the spatio-temporal dynamics of intrinsic pathway of blood coagulation. I. The model description // Thrombosis Research. 1996. — V. 84, no. 4. — P. 225–236. — DOI: 10.1016/S0049-3848(96)00182-X.
  38. V. I. Zarnitsina, A. V. Pokhilko, F. I. Ataullakhanov. A mathematical model for the spatio-temporal dynamics of intrinsic pathway of blood coagulation. II. Results // Thrombosis Research. 1996. — V. 84, no. 5. — P. 333–344. — DOI: 10.1016/S0049-3848(96)00197-1.
  39. Y. B. Zeldovich, D. A. Frank-Kamenetskii. A theory of thermal propagation of flame // Acta Physicochim. USSR. 1938. — V. 9. — P. 341–50.

Журнал индексируется в Scopus

Полнотекстовая версия журнала доступна также на сайте научной электронной библиотеки eLIBRARY.RU

Журнал включен в базу данных Russian Science Citation Index (RSCI) на платформе Web of Science

Международная Междисциплинарная Конференция "Математика. Компьютер. Образование"

Международная Междисциплинарная Конференция МАТЕМАТИКА. КОМПЬЮТЕР. ОБРАЗОВАНИЕ.