Abstract
In order to characterize the blood coagulolytic state, mathematical model was elaborated whose parameters represent biological activities non-approachable by classical biological tests. The experiments necessary for the parameters' estimation were easily carried out and a reliable estimation procedure was developped so as to render the method operational for current use in biological laboratories, 100 plasma samples from control and treated subjects were analysed and their parameters identified. By using statistical techniques on these results we validated our model and we showed that the model parameters, we estimated were more efficient than classical biological tests in the characterization of the coagulolytic state of control subjects and in the recognition of patients. An original method for diagnosis was derived. This study clearly shows the importance of an approach based on system modelling for the study of a complex biological system and the great interest of data analysis techniques in the analysis of the results with a view to diagnosis.
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Desnoyers, P.J. Daver, J. Labeaume and J. Sebastien (1975). A mathematical study of the kinetics of the fibrin clot-lysis: II. A new concept in pharmacological screening: the fibrinolytic and normo-coagulating drug. In K.N. Von Kaulla and J.F. Davidson, Synthetic Fibrinolytic Thrombolytic Agents. (Edited by C. Thomas) Springfield III, pp. 265–275.
Berg, W (1968). Urokinase activation of plasminogen and spontaneous inactivations of the plasmin formed: a kinetic study. Thromb. Diath. Haemorrh. 19, 145.
Merrils, R.J. and J.T.B. Swaw (1968). Kinetics of fibrin clot-lysis. Biochem. J. 106 (1), 101.
Liniger, W. and P. Ruegsegger (1967). Fibrinolysis: mathematical and experimental studies" Thromb. Diath. Haemorrh. 17 (3–4), 412.
Djaniquian, J.Y. (1972). Utilisation du calculateur numérique pour l'étude cinétique de l'immunohemolyse. Thèse Doctorat Sciences, Tours F3 7000.
Iliadis, A., A. Cheruy, J. Daver, and P. Desnoyers (1979). Mathematical modeling and equilibrium analysis of the coagulolytic system. Automatica IFAC, vol.15, pp. 453–459, July.
Cherry, S., K.M. Brinkhous, E. Jenton and J.M. Stengel (1969). Thrombosis. National Academy of Sciences, Washington D.C.
Gaffney, P. and S. Palkuv-Ultin (1978). Fibrinolysis: Current fundamental and clinical concepts. Academic Press.
Iliadis, A. (1980). Modélisation du système coagulolytic sanguin — Applications au diagnostic. Thèse de Doctorat-es-Sciences, Université de Grenoble.
Desnoyers, P., A. Cheruy, J. Daver and A. Iliadis (1979). Modélisation of the blood coagulolytic system: (2) Experimental results. In Progress in Chemical Fibrinolysis and Thrombolysis. Ed. J.F. Davidson, Ch. Livingstone, vol.4, pp. 130–136.
Richalet, J., A. Rault and R. Pouliquen (1971). Identification des processus par la méthode du modèle. Gordon and Breach, ch.9, pp. 187–192, Paris.
Cheruy, A., A. Iliadis, P. Desnoyers and J. Daver (1981). Estimation and statistical analysis of kinetical parameters of a biological system. I.F.A.C. Congress Kyoto.
Lebart, L., L. Morineau, N. Tabard (1977). Techniques de la description statistique, méthodes et logiciels pour l'analyse des grands tableaux. Dunod, 1977, ch. 1,2, pp. 7–32, 91–11, Paris.
Caillez, F., J.P. Pages (1976). Introduction à l'analyse des données. Société des Mathématiques Appliquées et des Sciences Humaines, ASO, BURO, SMASH, ch. 8,9,10,11,15, pp. 221–275, 303–419, 581–591, Paris.
Barraud, A. (1977). Identification du système multivariable par modèle d'état sous forme canonique. RAIRO Automatique, Systems Analysis and Control, 11(2), pp. 161–194.
Meisel, W.S. (1972). Computer oriented approaches to pattern recognition. Academic Press, N.Y. ch. 6, pp. 98–118.
Diday, E. (1972). Optimisation en classification automatique et reconnaissance des formes — RAIRO, 6, 61–95, Nov.
Specht, D.F. (1967). Generation of polynominal discriminant functions for pattern recognition. I.E.E.E. Trans. on Electronic Computers, EC-16 (3), pp. 308–319.
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Cheruy, A. (1982). Definition, estimation, statistical analysis of kinetical parameters of a biological systems with a view to aided diagnosis. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0044439
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DOI: https://doi.org/10.1007/BFb0044439
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