反常扩散现象对有界环境中分子信息传递的影响

IF 3.7 4区 生物学 Q1 BIOCHEMICAL RESEARCH METHODS IEEE Transactions on NanoBioscience Pub Date : 2024-09-25 DOI:10.1109/TNB.2024.3467695
Lokendra Chouhan
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引用次数: 0

摘要

本文考虑了立方体容器内的三维分子通讯(MC)。模型中不再使用正常扩散现象,而是加入了反常扩散现象,从而提高了模型的实用性。在考虑到信息携带分子(ICM)在环境中异常扩散的矩形坐标系中,重新定义了菲克定律。还考虑了流体沿 +x 方向在环境中流动的影响。此外,考虑到自由传播者现象,推导出了所考虑模型中 ICM 的时空概率密度函数 (PDF) 表达式。此外,还推导出了 ICM 的首次到达时间密度 (FATD)、任意时间的存活概率 (SP) 及其相应的首次到达概率 (FAP) 的新型闭式表达式。此外,还使用对数似然比检验(LLRT)最佳检测器分析了所考虑的 MC 模型的最小误码率(BER)。推导出的表达式通过基于 MATLAB 的粒子模拟和蒙特卡罗模拟进行了验证。
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Impact of Anomalous Diffusion Phenomenon on Molecular Information Delivery in Bounded Environment.

Through this paper, a three-dimensional molecular communication (MC) inside a cuboid container is considered. Instead of normal diffusion phenomenon, the anomalous diffusion phenomenon is incorporated which enhances the practicability of the model. The Fick's law is re-defined for the considering rectangular coordinate system in which information carrying molecules (ICMs) diffuse anomalously in the environment. The impact of flow of the fluid along the +x direction in the environment is also considered. Moreover, considering free propagator phenomenon, the expressions of spatio-temporal probability density function (PDF) of the ICMs is derived for the considered model. Further, the novel closed-form expressions for first arrival time density (FATD) of the ICM, survival probability (SP) at any time, and its corresponding first arrival probability (FAP) are also derived. Furthermore, the considered MC model is also analyzed in terms of minimum bit-error-rate (BER) using log-likelihood ratio test (LLRT) optimal detector. The derived expressions are verified using MATLAB based particle-based and Monte-Carlo simulations.

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来源期刊
IEEE Transactions on NanoBioscience
IEEE Transactions on NanoBioscience 工程技术-纳米科技
CiteScore
7.00
自引率
5.10%
发文量
197
审稿时长
>12 weeks
期刊介绍: The IEEE Transactions on NanoBioscience reports on original, innovative and interdisciplinary work on all aspects of molecular systems, cellular systems, and tissues (including molecular electronics). Topics covered in the journal focus on a broad spectrum of aspects, both on foundations and on applications. Specifically, methods and techniques, experimental aspects, design and implementation, instrumentation and laboratory equipment, clinical aspects, hardware and software data acquisition and analysis and computer based modelling are covered (based on traditional or high performance computing - parallel computers or computer networks).
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