论文标题
有氧细菌中代谢过程的数学模型中的自动振荡动力学。克雷布斯循环对生物系统的自组织的影响
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
论文作者
论文摘要
我们已经建模了有氧细胞中运行的代谢过程作为开放的非线性耗散系统。构建了参与类固醇转化的耗散系统的代谢路径图和一般方案。我们研究了克雷布斯周期对整个代谢过程动态的影响，并在奇怪的吸引子模式下构建了相肖像的投影。计算了Lyapunov指数，差异，Lyapunov分形的尺寸，kolmogorov- sinai熵以及给定模式的可预测性范围的总光谱。我们已经确定了呈现动力学对小参数的依赖性的分叉图，该参数定义了系统的物理状态。
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.
