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摘要翻译：
平滑肌收缩的能力在肠运动功能中起着至关重要的作用。利用平滑肌的肌源性活动特性对动力学模型进行定性分析，结果与生理学数据吻合较好。作为一个自我调节单元，胃肠(GI)段的功能被认为是通过提供肠道内容物积累和传播的基础模式的整合来调节的。通过对前一模型实施依赖于神经系统的外部变量，并考虑两个相互连接的储层作为肠的节段划分的物理模拟，一个由六个ODE方程组成的系统，每个储层三个，描述了协调的壁运动和内容物从一个储层到另一个储层的传播。结果表明，除了负反馈(NFB)外，其他功能模式，即正反馈(PFB)和互反环节(RL)也参与了充盈-排空循环的调节。这三种模式集成在一个完整的函数系统中，以矩阵的形式表示了同四元数虚部的基元，同四元数的基元在元素的加乘作用下是一个代数闭结构。同四元数环可以被认为是提供胃肠道部分协调壁运动的内部自我调节功能结构的模型。
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英文标题：
《Feedback patterns in simulating intestinal wall motions:
interdisciplinary approach to the motility mechanisms》
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作者：
Garri Davydyan
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最新提交年份：
2021
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分类信息：
一级分类：Quantitative Biology 数量生物学
二级分类：Other Quantitative Biology 其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
Ability of smooth muscles to contract in response to distension plays a crucial role in motor function of intestine. Qualitative analysis of dynamical models using myogenic active property of smooth muscles has shown well agreement with physiologic data. Considered as a self-regulatory unit, function of gastrointestinal (GI) segment is assumed to be regulated by integration of basis patterns providing accumulation and propagation of intestinal content. By implementing external, depending on neural system, variable to the previous model, and considering two attaches to one another reservoirs as a physical analogue of the segmental partition of intestine, a system of six ODE equations, three for each reservoir, describes coordinated wall motions and propagation of the content from one reservoir to another. It was shown that besides negative feedback (NFB), other functional patterns, namely positive feedback (PFB) and reciprocal links (RL) are involved in regulations of filling-emptying cycle. Being integrated in a whole functional system these three patterns expressed in a matrix form represent basis elements of imaginary part of coquaternion which with identity basis component is an algebraically closed structure under addition and multiplication of its elements. A coquaternion ring may be considered as a model of inner self-regulatory functional structure providing coordinated wall motions of GI tract portions.
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PDF链接：
https://arxiv.org/pdf/2109.07540
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