Related Experiment Video
Updated: Oct 21, 2025
10:16
A Protocol for Real-time 3D Single Particle Tracking
Published on: January 3, 2018
15.1K
A time-varying approach to single particle tracking with a nonlinear observation model
Boris I Godoy1, Ye Lin2, Sean B Andersson2,1
1Department of Mechanical Engineering, Boston University, Boston, MA 02215, USA.
Proceedings of the ... American Control Conference. American Control Conference
|September 6, 2021
Summary
This study introduces a novel algorithm for analyzing molecular motion in cells using single particle tracking (SPT). The method accurately estimates changing diffusion patterns from imaging data, advancing cell dynamics research.
Area of Science:
- Biophysics
- Cellular Dynamics
- Computational Biology
Background:
- Single Particle Tracking (SPT) analyzes macromolecule dynamics in living cells.
- Image data requires post-processing to understand molecular motion.
Purpose of the Study:
- Develop a local, time-varying estimation algorithm for motion model parameters.
- Address nonlinear observations in SPT data.
Main Methods:
- Combined Expectation Maximization (EM) algorithm with Unscented Kalman Filter (UKF) and Unscented Rauch-Tung-Striebel smoother (URTSS).
- Applied a sliding window methodology for time-varying analysis.
- Utilized a variance stabilizing transform to handle Poisson measurement noise from photon counting.
Main Results:
- Successfully traced time-varying diffusion constants using simulations.
- Demonstrated effectiveness across various physically relevant signal levels.
- Addressed Poisson measurement noise inherent in imaging.
Conclusions:
- The developed algorithm accurately estimates time-varying motion parameters in cellular environments.
- The approach provides a robust method for analyzing complex molecular dynamics from imaging data.
Related Concept Videos
01:06Model Approaches for Pharmacokinetic Data: Distributed Parameter Models
149
Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
149
01:21Linear Approximation in Time Domain
166
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
166
01:14Analysis Methods of Pharmacokinetic Data: Model and Model-Independent Approaches
263
Drug disposition in the body is a complex process and can be studied using two major approaches: the model and the model-independent approaches.
The model approach uses mathematical models to describe changes in drug concentration over time. Pharmacokinetic models help characterize drug behavior in patients, predict drug concentration in the body fluids, calculate optimum dosage regimens, and evaluate the risk of toxicity. However, ensuring that the model fits the experimental data accurately...
The model approach uses mathematical models to describe changes in drug concentration over time. Pharmacokinetic models help characterize drug behavior in patients, predict drug concentration in the body fluids, calculate optimum dosage regimens, and evaluate the risk of toxicity. However, ensuring that the model fits the experimental data accurately...
263
01:22Nonlinear Pharmacokinetics: Causes of Nonlinearity
416
Nonlinearity in drug pharmacokinetics is caused by various factors influencing how a drug is absorbed, distributed, metabolized, and excreted. Understanding these nonlinear processes is crucial for predicting drug behavior in the body and optimizing drug dosing regimens.
Nonlinear drug absorption can occur when the process is rate-limited by solubility, carrier-mediated transport systems, or saturation of the presystemic gut wall or hepatic metabolism. For instance, high doses of riboflavin...
Nonlinear drug absorption can occur when the process is rate-limited by solubility, carrier-mediated transport systems, or saturation of the presystemic gut wall or hepatic metabolism. For instance, high doses of riboflavin...
416
01:05Noncompartmental Analysis: Mean Residence Time
332
According to statistical moment theory, mean residence time (MRT) is an important measure in pharmacokinetics. MRT can be defined as the expected mean of a probability density function distribution. It provides valuable insights into drug disposition in the body.
After the administration of a drug through intravenous bolus injection, the drug molecules are distributed throughout the body and remain there for varying periods. The MRT represents the average time these drug molecules stay in the...
After the administration of a drug through intravenous bolus injection, the drug molecules are distributed throughout the body and remain there for varying periods. The MRT represents the average time these drug molecules stay in the...
332
01:24One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
805
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
On...
805