Kinetic behavior of the multienzyme system of blood prostanoid synthesis

Варфоломеев, С. Д.; Gachok, V. P.; Mevkh, Alevtina T.

doi:10.1016/0303-2647(86)90033-x

Cited by 7 publications

(5 citation statements)

References 14 publications

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“…Depending on the formed levels of , , and * (Fig. 1), the amount of the regulating component, cytoplasmatic guanylate cyclase (7), varies. It inhibits the aggregation of thrombocytes.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The regulators of the fibrillation of blood are thromboxanes and prostacyclins. A number of researchers modeled the given process and other analogous ones, trying to get the comprehensive knowledge about them [5][6][7][8][9][10][11][12][13][14][15]. The author developed a mathematical model of the prostacyclin-thromboxane system of a blood vessel, determined the conditions for the self-organization of the system and for the appearance of stationary stable autoperiodic oscillations, and studied the conditions for the development of hemophilia and thrombosis [16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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Spectral Analysis and Invariant Measure in Studies of the Dynamics of the Hemostasis of a Blood Vessel

Grytsay

2021

Ukr. J. Phys.

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A mathematical model of atherosclerosis of a blood vessel is advanced with regard for the entry of low-density lipoproteins (LDLs) into blood. For the first time, the influence of cytokines on the inflammation of a blood vessel at the formation of atherosclerotic plaques is taken into account. With the help of the expansion in a Fourier series and the calculation of an invariant measure, the scenario of the appearance of strange attractors depending on a change in the parameter of the dissipation of cholesterol is studied. The conclusion is made about the interconnection of the dynamics of the metabolic process in a blood vascular system and its physical state.

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“…Depending on the formed levels of , , and * (Fig. 1), the amount of the regulating component, cytoplasmatic guanylate cyclase (7), varies. It inhibits the aggregation of thrombocytes.…”

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Spectral Analysis and Invariant Measure in Studies of the Dynamics of the Hemostasis of a Blood Vessel

Grytsay

2021

Ukr. J. Phys.

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“…The analogous modeling of bioprocesses was realized in a lot of works (see, e.g., [35][36][37][38][39][40]).…”

Section: Mathematical Modelmentioning

confidence: 99%

Autooscillatory Dynamics in a Mathematical Model of the Metabolic Process in Aerobic Bacteria. Influence of the Krebs Cycle on the Self-Organization of a Biosystem

Grytsay,

Medentsev,

Arinbasarova

2020

Preprint

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We have modeled the metabolic process running in aerobic cells as open nonlinear dissipative systems. The map of metabolic paths and the general scheme of a dissipative system participating in the transformation of steroids are constructed. We have studied the influence of the Krebs cycle on the dynamics of the whole metabolic process and constructed projections of the phase portrait in the strange attractor mode. The total spectra of Lyapunov exponents, divergences, Lyapunov's dimensions of the fractality, Kolmogorov-Sinai entropies, and predictability horizons for the given modes are calculated. We have determined the bifurcation diagram presenting the dependence of the dynamics on a small parameter, which defines system's physical state.

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“…The analogous modeling of bioprocesses was realized in a lot of works (see, e.g., [35][36][37][38][39][40]).…”

Section: Mathematical Modelmentioning

confidence: 99%

Autooscillatory Dynamics in a Mathematical Model of the Metabolic Process in Aerobic Bacteria. Influence of the Krebs Cycle on the Self-Organization of a Biosystem

Grytsay¹,

Меденцев²,

Arinbasarova³

2020

Ukr. J. Phys.

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We have modeled the metabolic process running in aerobic cells as open nonlinear dissipative systems. The map of metabolic paths and the general scheme of a dissipative system participating in the transformation of steroids are constructed. We have studied the influence of the Krebs cycle on the dynamics of the whole metabolic process and constructed projections of the phase portrait in the strange attractor mode. The total spectra of Lyapunov exponents, divergences, Lyapunov’s dimensions of the fractality, Kolmogorov–Sinai entropies, and predictability horizons for the given modes are calculated. We have determined the bifurcation diagram presenting the dependence of the dynamics on a small parameter, which defines system’s physical state.

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Kinetic behavior of the multienzyme system of blood prostanoid synthesis

Cited by 7 publications

References 14 publications

Spectral Analysis and Invariant Measure in Studies of the Dynamics of the Hemostasis of a Blood Vessel

Spectral Analysis and Invariant Measure in Studies of the Dynamics of the Hemostasis of a Blood Vessel

Autooscillatory Dynamics in a Mathematical Model of the Metabolic Process in Aerobic Bacteria. Influence of the Krebs Cycle on the Self-Organization of a Biosystem

Autooscillatory Dynamics in a Mathematical Model of the Metabolic Process in Aerobic Bacteria. Influence of the Krebs Cycle on the Self-Organization of a Biosystem

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