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

Synthetic Disvision of Polynomials01:28

Synthetic Disvision of Polynomials

121
Synthetic division is an efficient algorithmic approach for dividing a polynomial by a linear binomial of the form x - c, where c is a real number. This method is helpful due to its streamlined process, which avoids the more cumbersome steps involved in the traditional long division of polynomials. It simplifies computation and serves as a practical tool for evaluating polynomials and identifying their factors.To perform synthetic division, one begins by listing the coefficients of the...
121
Introduction to Polynomial Functions01:26

Introduction to Polynomial Functions

190
Polynomial functions are fundamental elements in algebra and calculus, defined by expressions that combine variables and constants through addition, subtraction, and multiplication, with the variable raised to nonnegative integer exponents. A general polynomial function of degree n is given byWhere an ≠ 0. The term anxn is the leading term, and an is the leading coefficient, while a0 is referred to as the constant term.Characteristics and ClassificationPolynomials are categorized by their...
190
Determination of Pi Terms01:15

Determination of Pi Terms

584
The Buckingham Pi theorem is a valuable method in dimensional analysis, reducing complex relationships between variables into dimensionless terms. Relevant variables in analyzing the lift force on an airplane wing include lift force, air density, wing area, aircraft velocity, and air viscosity. Expressing each variable in terms of fundamental dimensions — mass, length, and time — provides a consistent foundation for constructing these dimensionless terms.
The theorem indicates that the...
584
Real Zeros of Polynomials01:27

Real Zeros of Polynomials

128
Polynomials are algebraic expressions of terms with variables raised to non-negative integer powers. A central aspect of analyzing polynomial functions is determining their real zeros—values of the variable for which the polynomial evaluates to zero. These values represent the x-intercepts of the polynomial’s graph.The Rational Zeros Theorem lists possible rational solutions for a polynomial equation with integer coefficients. If f(x)=anxn+....+a0​, then every rational zero is...
128
Step-Growth Polymerization: Overview01:03

Step-Growth Polymerization: Overview

4.3K
Step-growth or condensation polymerization is a stepwise reaction of bi or multifunctional monomers to form long-chain polymers. As all the monomers are reactive, most of the monomers are consumed at the early stages of the reaction to form small chains of reactive oligomers, which then combine to form long polymer chains in the late stages. Hence, the reaction has to proceed for a long time to achieve high molecular weight polymers.
Many natural and synthetic polymers are produced by...
4.3K
Statically Indeterminate Problem Solving01:16

Statically Indeterminate Problem Solving

671
Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
671

You might also read

Related Articles

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

Sort by
Same author

Excessive GABAergic activity in striatal and frontal cortical regions more than dopaminergic functions are related to daytime sleepiness in Parkinson's disease: An exploratory 11C-flumazenil PET study.

Geromedicine·2026
Same author

Cholinergic system changes in levodopa-unresponsive freezing of gait and failure of goal-directed motor behavior in Parkinson's disease.

Neural regeneration research·2026
Same author

Evaluating Oncological Outcomes in Patients with Multiple PiRADS Lesion Treated with Robot-Assisted Radical Prostatectomy for Prostate Cancer: Results from a Large Contemporary Cohort with Centralized MpMRI Evaluation in a High-Volume Center.

Journal of clinical medicine·2026
Same author

A Bayesian network analysis of gait speed change upon transition to uneven surfaces in older adults.

The journals of gerontology. Series A, Biological sciences and medical sciences·2026
Same author

White matter lesions disrupt cholinergic pathways important for cognition in Parkinson's disease.

Brain : a journal of neurology·2026
Same author

Asymmetric Cholinergic Basal Forebrain Atrophy Marks Freezing of Gait in Parkinson's Disease.

The European journal of neuroscience·2026
Same journal

Infiltrating monocytes augment alternative complement activation and exacerbate inherited retinal degeneration in a mouse model.

Research square·2026
Same journal

Eco-evolutionary dynamics of defense systems in mobile genetic elements: Cui bono?

Research square·2026
Same journal

HIV Transmission Dynamics in Greater Mexico City are Shaped by Dense Spatial Mixing.

Research square·2026
Same journal

A UCP1-IRES-Cre Knock-In Mouse Enables Specific Brown Adipocyte Targeting Without CNS Off-Target Expression.

Research square·2026
Same journal

Precision RNAi for Fibrodysplasia Ossificans Progressiva: a combinatorial, unimolecular, allele selective approach.

Research square·2026
Same journal

Perceptions of end-of-life care quality among bereaved closest contacts of community-dwelling older Australians: a cross-sectional survey of the ASPREE cohort.

Research square·2026
See all related articles

Related Experiment Video

Updated: Jan 10, 2026

Following the Dynamics of Structural Variants in Experimentally Evolved Populations
04:52

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

1.3K

The Polynomial Progression Subtype Inference Algorithm.

Nicolaas Bohnen1,2, August Van Hout1,2, Stiven Roytman2,3,4

  • 1Department of Radiology, University of Michigan, Ann Arbor, MI, USA.

Research Square
|November 24, 2025
PubMed
Summary
This summary is machine-generated.

A new algorithm, PPSI, enables faster and more accurate disease progression modeling using cross-sectional data. This tool improves patient stratification and accessibility, making complex analysis available to more researchers.

More Related Videos

Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques
07:16

Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques

Published on: October 20, 2023

1.8K
Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues
07:08

Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues

Published on: July 14, 2015

7.6K

Related Experiment Videos

Last Updated: Jan 10, 2026

Following the Dynamics of Structural Variants in Experimentally Evolved Populations
04:52

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

1.3K
Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques
07:16

Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques

Published on: October 20, 2023

1.8K
Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues
07:08

Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues

Published on: July 14, 2015

7.6K

Area of Science:

  • Computational biology
  • Biostatistics
  • Disease modeling

Background:

  • Longitudinal assessments are standard for disease progression but are time-consuming and burdensome.
  • Cross-sectional inference offers a faster alternative for patient stratification.
  • Existing algorithms like SuStaIn have limitations in speed and interpretability.

Purpose of the Study:

  • Introduce the new algorithm, PPSI, for efficient cross-sectional disease progression modeling.
  • Address the computational and conceptual shortcomings of previous methods.
  • Enhance accessibility and usability for a broader range of experts.

Main Methods:

  • Developed the PPSI algorithm for cross-sectional inference.
  • Applied PPSI to Alzheimer's disease (ADNI) and breast cancer (TCGA-BRCA) datasets.
  • Utilized simulated data to measure robustness and performance.

Main Results:

  • PPSI is orders of magnitude faster than SuStaIn, reducing runtimes from hours to seconds.
  • PPSI demonstrates equal or greater accuracy and interpretability.
  • The algorithm handles complex bidirectional phenomena and accommodates numerous variables.

Conclusions:

  • PPSI significantly improves computational efficiency for disease progression modeling.
  • The tool's enhanced performance and usability make it accessible to subject matter experts.
  • PPSI facilitates earlier patient stratification and broader research accessibility.