Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Synthetic Disvision of Polynomials

Synthetic Disvision of Polynomials

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...

Introduction to Polynomial Functions

Introduction to Polynomial Functions

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...

Determination of Pi Terms

Determination of Pi Terms

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...

Real Zeros of Polynomials

Real Zeros of Polynomials

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...

Step-Growth Polymerization: Overview

Step-Growth Polymerization: Overview

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...

Statically Indeterminate Problem Solving

Statically Indeterminate Problem Solving

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...

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

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

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

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

Somatosensory cortex shapes perceptual decision bias via the superior colliculus.

Research square·2026

Same journal

Combinatorial Targeting of Avapritinib-Driven MAP Kinase Activation in High-Grade Glioma.

Research square·2026

Same journal

Supporting Implementation of the National Standards for Cancer Survivorship Care: Development of the Cancer Survivorship Maturity Model (CSMM).

Research square·2026

Same journal

Operationalizing a walking exercise prescription based on 6-minute walk test results.

Research square·2026

Same journal

Age but not sex modifies lymphoid immune responses in murine sepsis.

Research square·2026

Same journal

Indirect effect, through aspects of neighborhood affluence and racial/ethnic composition, of receiving a Section 8 voucher on the prevalence of psychiatric disorders among boys and girls in the Moving to Opportunity study.

Research square·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Jan 10, 2026

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

The Polynomial Progression Subtype Inference Algorithm.

Nicolaas Bohnen^1,2, August Van Hout^1,2, Stiven Roytman^2,3,4

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

Research Square

|November 24, 2025

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

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

Published on: October 20, 2023

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

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

Published on: July 14, 2015

Related Experiment Videos

Last Updated: Jan 10, 2026

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

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

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

Published on: October 20, 2023

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

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

Published on: July 14, 2015

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.