相关实验视频
Updated: May 4, 2026

06:48
The HoneyComb Paradigm for Research on Collective Human Behavior
Published on: January 19, 2019
10.9K
连续模型描述了在排除过程中标记代理的概率运动
Michael J Plank1, Matthew J Simpson2,3
1University of Canterbury, School of Mathematics and Statistics, Christchurch 8140, New Zealand.
Physical review. E
|February 20, 2026
概括
这项研究引入了细胞迁移的新连续模型,准确地捕捉了轨迹的变化. 这些模型通过结合随机性来改善现有方法,以实现更现实的人口动态.
科学领域:
- 计算生物学 计算生物学
- 数学建模的数学建模
- 细胞动力学细胞动力学
背景情况:
- 基于格子的随机步行模型是模拟偏差和增殖的迁移细胞的标准.
- 拥挤是通过体积排除,限制场地占用和中止相互冲突的动作来建模的.
- 现有的细胞轨迹连续模型缺乏可变性测量,这是一个关键的局限性.
研究的目的:
- 为标记代理轨迹的概率密度函数推导部分微分方程.
- 为了解决以前的模型的局限性,忽视了轨迹变化.
- 提供连续描述,捕捉模拟中的分布数据.
主要方法:
- 对于标记代理轨迹概率密度函数的部分微分方程的导数.
- 推导连续模型预测与随机模拟数据的比较.
- 分析不同模拟环境中的随机性作用.
主要成果:
- 衍生的连续描述显示了与随机模拟中的分布数据的良好一致.
- 这些模型揭示了随机性在细胞迁移动态中的影响和作用.
- 该框架可以对不同代理的多个子群体进行概括.
结论:
- 新的连续模型提供了细胞迁移轨迹的物理可解释描述,包括变异性.
- 这种方法通过结合随机效应,比以前的模型有了显著的改进.
- 概括框架支持复杂的多种群细胞迁移场景的研究.
相关概念视频
Cyclic Processes And Isolated Systems
2.6K
A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
2.6K
Reversible and Irreversible Processes
4.3K
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...
4.3K
Entropy Change in Reversible Processes
2.4K
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.
2.4K
Multicompartment Models: Overview
712
Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
712
Mechanistic Models: Overview of Compartment Models
587
Mechanistic models, a category encompassing both physiological and compartmental modeling, differ from empirical models' approaches to incorporating known factors about the systems being modeled. Empirical models describe data with minimal assumptions, while mechanistic models aim to provide a robust description of available data by specifying assumptions and integrating known factors about the system. Compartmental analysis is a key example of a mechanistic model in pharmacokinetics and...
587
Mechanistic Models: Compartment Models in Individual and Population Analysis
359
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
359

