在马尔科夫跳跃过程中,集成电流和复发时间的精度之间的相互关系
Alberto Garilli1, Diego Frezzato1
1University of Padova, Department of Chemical Sciences, via Marzolo 1, I-35131, Padova, Italy.
Physical review. E
|November 18, 2025
概括
研究人员得出了马尔科夫跳跃过程中二次变化系数的公式,为生物系统如分子电机中的过渡时间精度提供了洞察力.
科学领域:
- * 随机过程是指随机过程.
- * 生物物理 生物物理
- * 化学动力学 化学动力学
背景情况:
- *马尔科夫跳跃过程模型系统具有离散状态和过渡.
- * 了解转变动力学在生物化学系统 (例如,酶催化,分子电机) 中至关重要.
- *随机性参数量化了这些系统中的计时精度.
研究的目的:
- * 导出马尔科夫跳跃过程中集成电流变化系数的平方的一般表达式.
- * 确定此措施与过渡时间的精确性之间的相互关系.
- *将现有分析扩展到有限的观测时间和可逆转换.
主要方法:
- * 导出一个明确的表达式,用于净过渡的方位变化系数.
- * 数学阐述,以将这个表达式与时间精确度联系起来.
- * 长时间限制和延伸到有限时间和可逆性的分析.
主要成果:
- * 获得了整合电流变化系数平方的一般公式.
- * 澄清了集成电流变化和过渡定时精度之间的关系.
- *为有限时间和可逆过渡提供了新的见解,扩展了以前长期不可逆转的模型.
结论:
- * 衍生的表达式可以方便对马尔科夫跳跃过程进行数值计算.
- *这项研究增强了对生物化学动力学定时精度的理解.
- *这些发现为分析复杂的生物过程提供了更全面的框架.
相关概念视频
Propagation of Uncertainty from Random Error
1.6K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
1.6K
Entropy Change in Reversible Processes
3.2K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
3.2K
Reversible and Irreversible Processes
5.5K
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
5.5K
Propagation of Uncertainty from Systematic Error
1.2K
The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
1.2K
BIBO stability of continuous and discrete -time systems
871
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
871
Poisson's And Laplace's Equation
4.1K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
4.1K


