Related Experiment Video
Updated: Jan 24, 2026
07:44
Measuring Microbial Mutation Rates with the Fluctuation Assay
Published on: November 28, 2019
24.8K
Statistical mechanics of a single active slider on a fluctuating interface
F Cagnetta1, M R Evans1, D Marenduzzo1
1SUPA, School of Physics and Astronomy, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, United Kingdom.
Physical Review. E
|May 22, 2019
Summary
We model active sliders on fluctuating interfaces. Depending on dynamics, sliders exhibit random walking or ballistic motion, offering insights into active membranes and energy-driven systems.
Area of Science:
- Statistical mechanics
- Soft matter physics
- Biophysics
Background:
- Active sliders are hypothetical particles that move towards interface minima and stimulate interface growth.
- They lack direct counterparts in thermodynamic systems but model ATP-dependent membrane proteins activating cytoskeletal growth.
Purpose of the Study:
- To investigate the statistical mechanics of a single active slider on a fluctuating interface.
- To explore the diverse dynamical regimes arising from the interplay between slider motion and interface relaxation.
Main Methods:
- Numerical simulations
- Theoretical arguments
Main Results:
- Identified distinct dynamical regimes based on the ratio of slider motion to interface relaxation timescales.
- Slow interface dynamics lead to random walking with dynamic exponents of 2 (interface) and 3/2 (slider).
- Fast interface dynamics result in sustained ballistic motion, with the slider creating its own membrane wave.
Conclusions:
- The active slider model exhibits rich phenomenology, including diffusive and ballistic motion.
- It serves as a valuable toy model for active membranes and systems where constituents alter their environment by expending energy.
Related Concept Videos
01:50Statistical Significance
21.2K
Once data is collected from both the experimental and the control groups, a statistical analysis is conducted to find out if there are meaningful differences between the two groups. A statistical analysis determines how likely any difference found is due to chance (and thus not meaningful). In psychology, group differences are considered meaningful, or significant, if the odds that these differences occurred by chance alone are 5 percent or less. Stated another way, if we repeated this...
21.2K
01:14Probability in Statistics
22.4K
Probability is the likelihood of an event occurring. The term event is defined as a collection of results of a procedure. An event is a simple event when an outcome cannot be divided into simpler parts.
An example of a simple event is a coin toss. The result of a coin toss is either a head or a tail. Here, head and tail are two simple events. These two simple events make up the sample space. Further, the probability of an event occurring falls within the range of 0 to 1. The probability of an...
An example of a simple event is a coin toss. The result of a coin toss is either a head or a tail. Here, head and tail are two simple events. These two simple events make up the sample space. Further, the probability of an event occurring falls within the range of 0 to 1. The probability of an...
22.4K
01:17Introduction to Statistics
62.8K
The science of statistics involves collecting, analyzing, interpreting, and presenting data. The method of collecting, organizing, and summarizing data is called descriptive statistics. The systematic method of drawing inferences from the sample data and predicting unknown characteristics of a population is called inferential statistics.
In statistics, the collection of individuals or objects under study is called population. The idea of sampling is to select a portion of the larger population...
In statistics, the collection of individuals or objects under study is called population. The idea of sampling is to select a portion of the larger population...
62.8K
02:04Protein-protein Interfaces
14.6K
Many proteins form complexes to carry out their functions, making protein-protein interactions (PPIs) essential for an organism's survival. Most PPIs are stabilized by numerous weak noncovalent chemical forces. The physical shape of the interfaces determines the way two proteins interact. Many globular proteins have closely-matching shapes on their surfaces, which form a large number of weak bonds. Additionally, many PPIs occur between two helices or between a surface cleft and a...
14.6K
01:11Statistical Analysis: Overview
15.4K
When we take repeated measurements on the same or replicated samples, we will observe inconsistencies in the magnitude. These inconsistencies are called errors. To categorize and characterize these results and their errors, the researcher can use statistical analysis to determine the quality of the measurements and/or suitability of the methods.
One of the most commonly used statistical quantifiers is the mean, which is the ratio between the sum of the numerical values of all results and the...
One of the most commonly used statistical quantifiers is the mean, which is the ratio between the sum of the numerical values of all results and the...
15.4K
01:14Identifying Statistically Significant Differences: The F-Test
3.3K
The F-test is used to compare two sample variances to each other or compare the sample variance to the population variance. It is used to decide whether an indeterminate error can explain the difference in their values. The underlying assumptions that allow the use of the F-test include the data set or sets are normally distributed, and the data sets are independent of each other. The test statistic F is calculated by dividing one variance by another. In other words, the square of one standard...
3.3K