Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Distributions to Estimate Population Parameter01:26

Distributions to Estimate Population Parameter

5.2K
The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
5.2K
Determination of Multiple Dosing Parameters: Steady-State, Minimum and Maximum Concentrations01:15

Determination of Multiple Dosing Parameters: Steady-State, Minimum and Maximum Concentrations

261
Gentamicin, an aminoglycoside antibiotic, is commonly administered via intermittent intravenous infusion to treat severe infections. An intermittent one-hour infusion of gentamicin, administered at eight-hour intervals, allows for precise control of plasma drug concentrations, minimizing toxicity while ensuring therapeutic efficacy. Pharmacokinetic principles govern the dynamics of plasma concentrations and can be mathematically described using specific equations.The plasma drug concentration...
261
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

1.2K
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...
1.2K
Maximum Deflection01:13

Maximum Deflection

1.1K
When analyzing beams under unsymmetrical loads, such as a train moving on a bridge, it is crucial to accurately determine the points of maximum stress and deflection. The process involves identifying the maximum deflection of the beam, which may not always occur at its midpoint due to the uneven distribution of the load.
The maximum deflection occurs at a specific point, known as point O, where the tangent to the deflection curve is horizontal. To find point O, the slope of the tangent at any...
1.1K
Maximum Power Transfer01:16

Maximum Power Transfer

943
Numerous practical applications within engineering disciplines, such as telecommunications, necessitate optimizing power delivery to a connected load. This pursuit, however, entails inherent internal losses, which can either equal or exceed the power supplied to the load. The Thevenin equivalent circuit is helpful in finding the maximum power a linear circuit can deliver to a load. It is assumed in this context that the load resistance can be adjusted.
By substituting the entire circuit with...
943
Maximum Size of Aggregate01:12

Maximum Size of Aggregate

565
The maximum size of aggregate is defined as the aperture of the sieve retaining 15 percent or more of the particles present in the aggregate sample. The aggregate's maximum size impacts the concrete's water requirement, workability, and strength. Larger aggregates reduce the surface area needing cement paste coverage, which can lower water needs, thereby allowing a decrease in the water-to-cement ratio when the desired workability and richness of the mix are to be maintained, which can...
565

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Beta bursts spatiotemporal profiles and their links to hemodynamic responses during movement and rest.

Imaging neuroscience (Cambridge, Mass.)·2026
Same author

Frequency-Specific tACS Differentially Modulates Cortical Oscillations and Motor Performance.

IEEE transactions on neural systems and rehabilitation engineering : a publication of the IEEE Engineering in Medicine and Biology Society·2026
Same author

Global signal regression reduces connectivity patterns related to physiological signals and does not alter EEG-derived connectivity.

Frontiers in neuroimaging·2025
Same author

Investigating the Variability of Physiological Response Functions across Individuals and Brain Regions in Functional Magnetic Resonance Imaging.

Brain topography·2025
Same author

Influence of systemic low-frequency oscillations on fMRI identifiability -Implications for denoising and fingerprinting.

Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference·2025
Same author

Dynamic cerebral autoregulation in healthy males during sleep accompanied by intermittent hypoxia.

Journal of applied physiology (Bethesda, Md. : 1985)·2025
Same journal

MMFVS-Net: A triple-symmetric cross-attention network for multimodal optical image fusion and high-accuracy virtual staining of breast cancer tissues.

Computer methods and programs in biomedicine·2026
Same journal

A novel Milstein-stochastic epidemiologically-informed neural network for approaching epidemic dynamics: Application to Mpox disease.

Computer methods and programs in biomedicine·2026
Same journal

Accounting for approximation errors using surrogate-based parameter estimation of cardiac mechanics digital twins.

Computer methods and programs in biomedicine·2026
Same journal

Facial iPPG heatmap patterns based on period-aware autoencoder show association with carotid atherosclerosis towards non-contact hemodynamic assessment.

Computer methods and programs in biomedicine·2026
Same journal

Explainable machine learning models predict liver fibrosis risk and outcome in the general population: Development and multi-cohort external validation.

Computer methods and programs in biomedicine·2026
Same journal

Evaluation of surrogate endpoints for survival outcomes using the surrogate package in R.

Computer methods and programs in biomedicine·2026
See all related articles

Related Experiment Video

Updated: Feb 11, 2026

ODELAY: A Large-scale Method for Multi-parameter Quantification of Yeast Growth
11:19

ODELAY: A Large-scale Method for Multi-parameter Quantification of Yeast Growth

Published on: July 3, 2017

8.7K

Tumor growth modeling: Parameter estimation with Maximum Likelihood methods.

Spyridon Patmanidis1, Alexandros C Charalampidis2, Ioannis Kordonis3

  • 1School of Electrical and Computer Engineering, National Technical University of Athens, Iroon Polytechneiou 9, Zografou, Athens 15780, Greece.

Computer Methods and Programs in Biomedicine
|May 6, 2018
PubMed
Summary
This summary is machine-generated.

Accurate tumor growth prediction using the Gompertz model is crucial for personalized therapies. This study introduces novel Maximum Likelihood estimation methods to improve parameter estimation accuracy for tumor volume dynamics.

Keywords:
Extended Kalman FilterMaximum LikelihoodNonlinear systemsParameter estimationTumor growth modeling

More Related Videos

A Mouse Model to Investigate the Role of Cancer-Associated Fibroblasts in Tumor Growth
06:35

A Mouse Model to Investigate the Role of Cancer-Associated Fibroblasts in Tumor Growth

Published on: December 22, 2020

5.1K
Establishing Intracranial Brain Tumor Xenografts With Subsequent Analysis of Tumor Growth and Response to Therapy using Bioluminescence Imaging
11:09

Establishing Intracranial Brain Tumor Xenografts With Subsequent Analysis of Tumor Growth and Response to Therapy using Bioluminescence Imaging

Published on: July 13, 2010

40.4K

Related Experiment Videos

Last Updated: Feb 11, 2026

ODELAY: A Large-scale Method for Multi-parameter Quantification of Yeast Growth
11:19

ODELAY: A Large-scale Method for Multi-parameter Quantification of Yeast Growth

Published on: July 3, 2017

8.7K
A Mouse Model to Investigate the Role of Cancer-Associated Fibroblasts in Tumor Growth
06:35

A Mouse Model to Investigate the Role of Cancer-Associated Fibroblasts in Tumor Growth

Published on: December 22, 2020

5.1K
Establishing Intracranial Brain Tumor Xenografts With Subsequent Analysis of Tumor Growth and Response to Therapy using Bioluminescence Imaging
11:09

Establishing Intracranial Brain Tumor Xenografts With Subsequent Analysis of Tumor Growth and Response to Therapy using Bioluminescence Imaging

Published on: July 13, 2010

40.4K

Area of Science:

  • * Mathematical modeling
  • * Computational biology
  • * Oncology

Background:

  • * Accurate tumor growth modeling is essential for predicting disease progression.
  • * Individualized tumor growth dynamics are key for developing personalized therapeutic strategies.
  • * The Gompertz model is widely utilized for describing tumor volume changes.

Purpose of the Study:

  • * To estimate parameters of the Gompertz tumor growth model using tumor volume measurements.
  • * To compare the effectiveness of three novel Maximum Likelihood estimation methods.
  • * To enhance the accuracy of tumor growth prediction for personalized treatment design.

Main Methods:

  • * Development of three Maximum Likelihood (ML) estimation techniques.
  • * Method 1: Simplification based on measurement noise assumptions.
  • * Method 2: Integration of Extended Kalman Filter (EKF) with ML estimation.
  • * Method 3: Nonstandard exact ML estimation using numerical integration and computational reduction.

Main Results:

  • * Proposed methods accurately estimate tumor growth dynamics, even with imperfect noise characterization.
  • * Simulations using synthetic data demonstrate the effectiveness of the novel estimation techniques.
  • * The methods show optimal performance in scenarios directly applicable to experimental tumor data.

Conclusions:

  • * Nonstandard, problem-specific techniques significantly enhance estimation accuracy.
  • * Novel methods effectively leverage available data for improved tumor growth modeling.
  • * Accurate parameter estimation facilitates better prediction and personalized therapeutic interventions.