识别生化模式的运动方程
Equations of Motion that Recognize Biochemical Patterns
摘要：
运动方程，识别生化模式的描述。该方程是一个连续多组分系统的偏微分方程，其中给出了适当的初始和边界条件。生化模式是多种生化成分的时空分布，可以看作是浓度和质量通量的连续体。识别生化模式导致方程的普遍性质，这也是数学证明，即设计的方程足以近似任意动力系统中的任何轨道，即使是在复杂的生物系统中看到的轨道。该理论也可以应用于非生物系统，其可以被视为由任何多个组分（例如液体、固体和非线性粘弹性材料）组成的连续体。
英文摘要：
Equations of motion that recognize biochemical patterns are described. The equations are partial differential equations in a continuous multiple component system in which adequate initial and boundary conditions are given. The biochemical patterns are spatiotemporal distributions of multiple biochemical components that can be regarded as a continuum in concentration and mass flux. Recognizing biochemical patterns lead to a universal property of the equations, which is also mathematically demonstrated, that the devised equations are sufficient to approximate any orbits in an arbitrary dynamical system, even though that of expectedly seen in complex biological systems. This theory can be applied to also a non-biological system that can be regarded as a continuum comprised of any multiple components such as liquids, solids, and nonlinear viscoelastic materials.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
