The limits of simulation of the clotting system

Summary.  Objective: To investigate in how far successful simulation of a thrombin generation (TG) curve gives information about the underlying biochemical reaction mechanism. Results: The large majority of TG curves do not contain more information than can be expressed by four parameters. A limited kinetic mechanism of six reactions, comprising proteolytic activation of factor (F) X and FII, feedback activation of FV, a cofactor function of FVa and thrombin inactivation by antithrombin can simulate any TG curve in a number of different ways. The information content of a TG curve is thus much smaller than the information required to describe a physiologically realistic reaction scheme of TG. Consequently, much of the input information is irrelevant for the output. FVIII deficiency or activation of protein C can, for example, be simulated by a reaction mechanism in which these factors do not occur. Conclusion: A model that comprises not more than six reactions can simulate the same TG curve in a number of possible ways. The possibilities increase exponentially as the model grows more realistic. Successful simulation of experimental data therefore does not validate the underlying assumptions. A fortiori, simulation that is not checked against experimental data lacks any probative force. Simulation can be of use, however, to detect mistaken hypotheses and for parameter estimation in systems with fewer than five free parameters.

[1]  H. Koenig Human Blood Coagulation and its Disorders , 1958 .

[2]  Flora Peyvandi,et al.  The Thrombogram in Rare Inherited Coagulation Disorders: Its Relation to Clinical Bleeding , 2002, Thrombosis and Haemostasis.

[3]  W. Chandler,et al.  Estimating the rate of thrombin and fibrin generation in vivo during cardiopulmonary bypass. , 2003, Blood.

[4]  H. Hemker,et al.  The Effect of Trace Amounts of Tissue Factor on Thrombin Generation in Platelet Rich Plasma, its Inhibition by Heparin , 1989, Thrombosis and Haemostasis.

[5]  K. Mann,et al.  A model for the tissue factor pathway to thrombin. II. A mathematical simulation. , 1994, Journal of Biological Chemistry.

[6]  J. Rosing,et al.  Effect of membrane fluidity and fatty acid composition on the prothrombin-converting activity of phospholipid vesicles. , 1992, Biochemistry.

[7]  Thomas Orfeo,et al.  The Significance of Circulating Factor IXa in Blood* , 2004, Journal of Biological Chemistry.

[8]  J. Vermylen,et al.  Mechanism of action of β2-glycoprotein I-dependent lupus anticoagulants , 1998, Lupus.

[9]  YJ Zeng,et al.  A kinetic model for simulation of blood coagulation and inhibition in the intrinsic path , 2005, Journal of medical engineering & technology.

[10]  Optimality principle and determination of kinetic constants for biochemical reactions. , 2005, Mathematical medicine and biology : a journal of the IMA.

[11]  F. Ohsuzu,et al.  Levels of annexin IV and V in the plasma of pregnant and postpartum women , 2004, Thrombosis and Haemostasis.

[12]  T. W. Anderson An Introduction to Multivariate Statistical Analysis , 1959 .

[13]  P. Hemker,et al.  During coagulation, thrombin generation shifts from chemical to diffusional control , 2005, Journal of thrombosis and haemostasis : JTH.

[14]  H C Hemker,et al.  Simulation model for thrombin generation in plasma. , 1991, Haemostasis.

[15]  K. Mann,et al.  Platelets and Phospholipids in Tissue Factor-initiated Thrombin Generation , 2001, Thrombosis and Haemostasis.

[16]  K. Popper,et al.  Conjectures and refutations;: The growth of scientific knowledge , 1972 .

[17]  S. Everse,et al.  Predicting the pharmacology of thrombin inhibitors , 2003, Journal of thrombosis and haemostasis : JTH.

[18]  Eric Walter,et al.  Identification of Parametric Models: from Experimental Data , 1997 .

[19]  H. Nagashima Studies on the Different Modes of Action of the Anticoagulant Protease Inhibitors DX-9065a and Argatroban , 2002, The Journal of Biological Chemistry.

[20]  H. Hemker,et al.  Phenotyping the Clotting System , 2002, Thrombosis and Haemostasis.

[21]  G. Golub,et al.  Scientific Computing and Differential Equations: An Introduction to Numerical Methods , 1991 .

[22]  K. Popper,et al.  Conjectures and refutations;: The growth of scientific knowledge , 1972 .

[23]  T. Baglin The measurement and application of thrombin generation , 2005, British journal of haematology.

[24]  H C Hemker,et al.  The role of phospholipids and factor Va in the prothrombinase complex. , 1980, The Journal of biological chemistry.

[25]  D. Grobbee,et al.  Factor VIII half-life and clinical phenotype of severe hemophilia A. , 2005, Haematologica.

[26]  K. Mann,et al.  A model for the tissue factor pathway to thrombin. I. An empirical study. , 1994, The Journal of biological chemistry.

[27]  Anja Vogler,et al.  An Introduction to Multivariate Statistical Analysis , 2004 .

[28]  G. Broze Protein Z-Dependent Regulation of Coagulation , 2001, Thrombosis and Haemostasis.

[29]  J. Bausch,et al.  Monoclonal antibodies. , 1990, Bioprocess technology.

[30]  K. C. Jones,et al.  A Model for the Stoichiometric Regulation of Blood Coagulation* , 2002, The Journal of Biological Chemistry.

[31]  P. Comfurius,et al.  Contribution of different phospholipid classes to the prothrombin converting capacity of sonicated lipid vesicles. , 1996, Thrombosis research.

[32]  S. Mak,et al.  Clinical profile of patients with late-onset SLE: not a benign subgroup , 1998, Lupus.

[33]  J. Stoltz,et al.  Monoclonal antibodies against human plasma protein C and their uses for immunoaffinity chromatography. , 1991, Thrombosis research.

[34]  Piet Hemker,et al.  Manual of spIds, A software package for parameter identification in dynamical systems , 1995 .

[35]  H. Hemker,et al.  The Consumption of Antithrombin III During Coagulation, Its Consequences for the Calculation of Prothrombinase Activity and the Standardisation of Heparin Activity , 1992, Thrombosis and Haemostasis.

[36]  V. M. Kuz’min,et al.  Effect of Factor VIII Deficiency on Generation of Thrombin: A Biomechanical Approach , 2002, Doklady Biochemistry and Biophysics.

[37]  Sharene D. Bungay,et al.  A mathematical model of lipid-mediated thrombin generation. , 2003, Mathematical medicine and biology : a journal of the IMA.

[38]  T. W. Anderson,et al.  An Introduction to Multivariate Statistical Analysis , 1959 .

[39]  J. Griffin,et al.  Binding of protein S to factor Va associated with inhibition of prothrombinase that is independent of activated protein C. , 1993, The Journal of biological chemistry.

[40]  Piet Hemker,et al.  Numerical methods for differential equations in system simulation and in parameter estimation : (analysis and simulation of biochemical systems; proc. of the 8th febs meeting, amsterdam, 1972, p 59-80) , 1972 .

[41]  H. Hemker,et al.  Thrombin generation assays: accruing clinical relevance , 2004, Current opinion in hematology.

[42]  J. Rand The pathogenic role of annexin-V in the antiphospholipid syndrome , 2000, Current rheumatology reports.

[43]  T. Rothenberg Identification in Parametric Models , 1971 .

[44]  S. Béguin,et al.  The Calibrated Automated Thrombogram (CAT): a universal routine test for hyper- and hypocoagulability , 2002, Pathophysiology of Haemostasis and Thrombosis.

[45]  K. Mann,et al.  The plasma hemostatic proteome: thrombin generation in healthy individuals , 2005, Journal of thrombosis and haemostasis : JTH.

[46]  H. Hemker,et al.  Prothrombin Contributes to the Assembly of the Factor Va-Factor Xa Complex at Phosphatidylserine-containing Phospholipid Membranes (*) , 1995, The Journal of Biological Chemistry.

[47]  K. Mann,et al.  Thrombin generation: phenotypic quantitation , 2004, Journal of thrombosis and haemostasis : JTH.