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利用熵驱动放大器电路响应，在 Lévy 跳跃的影响下构建非线性模型。

Using entropy-driven amplifier circuit response to build nonlinear model under the influence of Lévy jump.

机构信息

Key Laboratory of Advanced Design and Intelligent Computing, Ministry of Education, School of Software Engineering, Dalian University, Dalian, 116622, China.

State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110004, China.

出版信息

BMC Bioinformatics. 2022 Jan 20;22(Suppl 12):437. doi: 10.1186/s12859-021-04331-0.

DOI:10.1186/s12859-021-04331-0
PMID:35057730
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8772049/
Abstract

BACKGROUND

Bioinformatics is a subject produced by the combination of life science and computer science. It mainly uses computer technology to study the laws of biological systems. The design and realization of DNA circuit reaction is one of the important contents of bioinformatics.

RESULTS

In this paper, nonlinear dynamic system model with Lévy jump based on entropy-driven amplifier (EDA) circuit response is studied. Firstly, nonlinear biochemical reaction system model is established based on EDA circuit response. Considering the influence of disturbance factors on the system, nonlinear biochemical reaction system with Lévy jump is built. Secondly, in order to prove that the constructed system conforms to the actual meaning, the existence and uniqueness of the system solution is analyzed. Next, the sufficient conditions for the end and continuation of EDA circuit reaction are certified. Finally, the correctness of the theoretical results is proved by numerical simulation, and the reactivity of THTSignal in EDA circuit under different noise intensity is verified.

CONCLUSIONS

In EDA circuit reaction, the intensity of external noise has a significant impact on the system. The end of EDA circuit reaction is closely related to the intensity of Lévy noise, and Lévy jump has a significant impact on the nature of biochemical reaction system.

摘要

背景

生物信息学是生命科学与计算机科学相结合产生的一门学科。它主要利用计算机技术来研究生物系统的规律。DNA 电路反应的设计和实现是生物信息学的重要内容之一。

结果

本文研究了基于熵驱动放大器（EDA）电路响应的具有 Lévy 跳跃的非线性动力系统模型。首先，基于 EDA 电路响应建立了非线性生化反应系统模型。考虑到干扰因素对系统的影响，建立了具有 Lévy 跳跃的非线性生化反应系统。其次，为了证明所构建的系统符合实际意义，分析了系统解的存在唯一性。接下来，证明了 EDA 电路反应结束和持续的充分条件。最后，通过数值模拟验证了理论结果的正确性，并验证了不同噪声强度下 EDA 电路中 THTSignal 的反应性。

结论

在 EDA 电路反应中，外部噪声的强度对系统有显著影响。EDA 电路反应的结束与 Lévy 噪声的强度密切相关，Lévy 跳跃对生化反应系统的性质有显著影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/379e/8772049/ccc993c7698b/12859_2021_4331_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/379e/8772049/98796e55ecda/12859_2021_4331_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/379e/8772049/4505684afc4b/12859_2021_4331_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/379e/8772049/52801b674b36/12859_2021_4331_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/379e/8772049/ccc993c7698b/12859_2021_4331_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/379e/8772049/98796e55ecda/12859_2021_4331_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/379e/8772049/4505684afc4b/12859_2021_4331_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/379e/8772049/52801b674b36/12859_2021_4331_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/379e/8772049/ccc993c7698b/12859_2021_4331_Fig4_HTML.jpg

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