Quantum Tunneling With Linear Potential: Case Studies in Biological Processes

IF 2.4 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Molecular, Biological, and Multi-Scale Communications Pub Date : 2024-09-30 DOI:10.1109/TMBMC.2024.3471189

Phuong-Nam Nguyen

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Abstract

Quantum biology, at the intersection of quantum mechanics and biology, investigates the involvement of quantum phenomena in biological processes. A pivotal focus is quantum tunneling, wherein particles traverse energy barriers, a phenomenon with potential significance in various biological contexts. This article introduces a new class of linear potential functions for studying quantum tunneling in biological processes. The simplicity of linear potentials enables analytical solutions to the Schrödinger equation, offering efficiency compared to more complex numerical methods. The proposed linear potential functions are derived using parabolic curves, providing an analytical form with physical interpretations. The corresponding energy function and transmission coefficients are presented, facilitating a simplified understanding of tunneling behavior. Theoretical implications of the proposed model are discussed, emphasizing the ease of parameter variation and its applicability to diverse biological scenarios. In the numerical demonstration, two case studies are presented: (1) examining proton tunneling in DNA point mutations and (2) exploring electron tunneling in biological receptors, specifically the ACE2 receptor in the context of SARS-CoV-2.

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线性势的量子隧穿：生物过程的个案研究

量子生物学是量子力学与生物学的交叉学科，研究生物过程中的量子现象。量子隧穿是其中一个关键重点，粒子在隧穿过程中会穿越能量壁垒，这种现象在各种生物环境中都具有潜在意义。本文介绍了一类新的线性势函数，用于研究生物过程中的量子隧穿。线性势函数的简单性使得薛定谔方程的解析解成为可能，与更复杂的数值方法相比，它具有更高的效率。所提出的线性势函数是利用抛物线曲线推导出来的，提供了一种具有物理解释的分析形式。提出了相应的能量函数和传输系数，有助于简化对隧道行为的理解。讨论了所提模型的理论意义，强调了参数变化的简易性及其对不同生物场景的适用性。在数值演示中，介绍了两个案例研究：(1) 研究 DNA 点突变中的质子隧道效应；(2) 探索生物受体中的电子隧道效应，特别是 SARS-CoV-2 背景下的 ACE2 受体。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Transactions on Molecular, Biological, and Multi-Scale Communications Mathematics-Modeling and Simulation

CiteScore

3.90

自引率

13.60%

发文量

期刊介绍： As a result of recent advances in MEMS/NEMS and systems biology, as well as the emergence of synthetic bacteria and lab/process-on-a-chip techniques, it is now possible to design chemical “circuits”, custom organisms, micro/nanoscale swarms of devices, and a host of other new systems. This success opens up a new frontier for interdisciplinary communications techniques using chemistry, biology, and other principles that have not been considered in the communications literature. The IEEE Transactions on Molecular, Biological, and Multi-Scale Communications (T-MBMSC) is devoted to the principles, design, and analysis of communication systems that use physics beyond classical electromagnetism. This includes molecular, quantum, and other physical, chemical and biological techniques; as well as new communication techniques at small scales or across multiple scales (e.g., nano to micro to macro; note that strictly nanoscale systems, 1-100 nm, are outside the scope of this journal). Original research articles on one or more of the following topics are within scope: mathematical modeling, information/communication and network theoretic analysis, standardization and industrial applications, and analytical or experimental studies on communication processes or networks in biology. Contributions on related topics may also be considered for publication. Contributions from researchers outside the IEEE’s typical audience are encouraged.