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Mathematical modeling of thrombin propagation during blood coagulation
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List of references:
- 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. , , .
- 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. , , , .
- 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. , , , et al.
- 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. , , , .
- 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. , .
- 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. , , .
- Blood coagulation // Biochemistry (Moscow). — 2001. — V. 61, no. 3. — P. 3–12. , .
- 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. , , , 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. , , , et al.
- Factor XI Activation in a Revised Model of Blood Coagulation // Science. — 1991. — V. 253, no. 5022. — P. 909–912. — DOI: 10.1126/science.1652157. , .
- Reaction-diffusion waves of blood coagulation. — 2016. — arXiv:1604.07635. — MathSciNet: MR3638201. , , , .
- 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. , .
- Thrombin generation, an essential step in haemostasis and thrombosis // Haemostasis and thrombosis. — 1993. — V. 3. — P. 477–491. .
- Thrombin generation in plasma: its assessment via the endogenous thrombin potential // Thrombosis and haemostasis. — 1995. — V. 74, no. 1. — P. 134–8. , .
- 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. , , , .
- 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. .
- 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. , , .
- 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. , .
- 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. , .
- 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. , .
- 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. , , , et al.
- The tissue factor requirement in blood coagulation // Journal of Biological Chemistry. — 2005. — V. 280, no. 52. — P. 42887–42896. — DOI: 10.1074/jbc.M505506200. , , , .
- 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. , , , 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. , , , et al.
- Influence of enzymatic reactions on blood coagulation autowave // Biophysics. — 2014. — V. 59, no. 1. — P. 110–118. — DOI: 10.1134/S0006350914010151. , .
- Inhibition of Human Factor IX , by Human Antithrombin // Journal of Biological Chemistry. — 1975. — V. 250, no. 23. — P. 8883–8889. , .
- Role of Phospholipids and Factor-Va in the Prothrombinase Complex // Journal of Biological Chemistry. — 1980. — V. 255, no. 1. — P. 274–283. , , , et al.
- 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. , , , .
- 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. , .
- 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. , , , et al.
- Mathematical modelling in blood coagulation ; Simulation and parameter estimation // Report - Modelling, analysis and simulation. — 1997. — V. 20. — P. 1–11. , .
- 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. , , , et al.
- 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. , , , .
- Traveling Wave Solutions of Parabolic Systems. — Providence, Rhode Island: American Mathematical Society, 1994. — V. 140. — P. 448. — Translation edition. — MathSciNet: MR1297766. , , .
- Elliptic Partial Differential Equations. — Basel: Springer Basel, 2014. — V. 104. — P. 469–478. — Monographs edition. — MathSciNet: MR3308135. .
- 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. , , , .
- 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. , , .
- 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. , , .
- A theory of thermal propagation of flame // Acta Physicochim. USSR. — 1938. — V. 9. — P. 341–50. , .
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