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Analysis of the activated partial thromboplastin time test using mathematical modeling.
A E Kogan1, D V Kardakov, M A Khanin
1Biological Faculty, Department of Biochemistry, Room 129, Moscow State University, 119899, Moscow, Russia. al.kogan@mtu-net.ru
Thrombosis Research
|March 15, 2001
Summary
Mathematical modeling of the activated partial thromboplastin time (APTT) test reveals that factor X deficiency significantly prolongs clotting time. Even minimal factor XIIa initiates rapid factor XII and prekallikrein activation during preincubation.
Area of Science:
- Hematology
- Biophysics
- Biochemistry
Background:
- Activated partial thromboplastin time (APTT) is a critical laboratory diagnostic test for blood coagulation disorders.
- The APTT assay involves a two-stage process: preincubation for factor activation and calcium-induced clotting.
Purpose of the Study:
- To analyze the APTT test using mathematical modeling.
- To elucidate the kinetics of coagulation factor activation during the APTT assay.
Main Methods:
- Coupled differential equations were formulated to describe the coagulation process.
- Numerical methods were employed to solve these equations and simulate the APTT test.
Main Results:
- A minute concentration of factor XIIa (2.3 x 10(-9) microM) fully activates factor XII and prekallikrein within 20 seconds.
- During preincubation, kallikrein is inhibited, with residual factor XIIa at 54% and factor XI activation at 26%.
- Post-clot formation, factors II, X, IX, and XI show activation levels of 4%, 5%, 90%, and 39%, respectively. Factor X deficiency causes the most significant APTT prolongation.
Conclusions:
- Mathematical modeling provides insights into the complex kinetics of the APTT assay.
- Factor X concentration is identified as the most critical determinant for APTT prolongation, highlighting its diagnostic significance.