[A mathematical model of kinetic activation of blood coagulation factors VII and X].
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Factor VII↗
Biomedical subjects
M A Khanin
Publications and source records attributed to M A Khanin.
A mathematical model of the kinetics of platelets and plasma hemostasis system interaction.
A mathematical model of the kinetics of platelet-activated blood coagulation is presented. Non-linear positive feedbacks due to the action of co-factor Va and VIIIa, thrombin-induced platelet activation, the secretion of factor V by platelets are taken into account. The intrinsic pathway is shown not to be activated in the absence of platelets for small stimulation intensities. The activation occurs if initial platelet activation by inductors other than thrombin exceeds a threshold value.
Blood Coagulation↗
Optimal arterial blood pressure.
Based on the principle of minimum power, a mathematical model of the functional state of the circulatory system is presented. The optimization model minimizes the power expenditure of the heart, bone marrow and the power expended in carrying blood. Mean arterial blood pressure is determined depending on oxygen transport parameters and locomotor activity. Theoretical results are compared with experimental data for man.
Blood Circulation↗
A mathematical model of the exercise functional state of the oxygen transport system.
Based on the principle of minimum power, a mathematical model of the exercise functional state of the oxygen transport system is presented. Aerobic and anaerobic muscular efficiencies are considered. The energetically optimal arteriovenous oxygen content difference, cardiac output and ventilation during exercise in man are determined depending on mechanical power. Theoretical results are compared with experimental data.
Animals↗
A mathematical model of the kinetics of blood coagulation.
Linear mathematical models of the kinetics of blood coagulation have previously been presented (Levine, 1966, Science, N.Y. 152, 651; Martorana & Moro, 1974, Math. Biosci. 21, 77). In this paper a non-linear mathematical model of the extrinsic pathway of blood coagulation is presented to take into account a positive feedback. The feedback is due to factor Va as a co-factor involved in thrombin formation. The extrinsic pathway is shown to function as an amplifier cascade if a vessel wall injury exceeds a threshold value. For sub-threshold stimulation, the extrinsic pathway does not function.
Blood Coagulation↗
[Nonlinear effects in kinetics of blood coagulation].
A linear mathematical model of the kinetics of humoral system of hemocoagulation is presented in the works by Levin (1966), Moro a. Brakhucha-Reyd (1969), Martoran a. Moro (1974). Present paper considers a nonlinear mathematical model of the intrinsic path of hemocoagulation which takes into account the effect of positive feed back which is related to the action of factors Va and VIIIa as co-factors. It is found that the intrinsic path of hemocoagulation normally functions as an amplifier cascade, if the wall damage is above some threshold value. When the damage is below the threshold value the intrinsic path of hemocoagulation does not function.
Blood Coagulation↗
[Optimum regulation of blood circulation and hematopoiesis after changes in motor activity].
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Blood Circulation↗
[Artificial heart control system].
To develop a system for the artificial heart control the algorhythm of the latter, with the blood pressure in the aorta acting as a regulation parameter, was analyzed on its mathematical model. The results of the algorhythm operation in three model situation describing transitional processes under physical efforts, stress and resuscitation are reported. The technical implemetation of the described algorhythm is set forth and a comparison of the obtained experimental data versus the design curves is made.
Aorta↗