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

Mutation, Gene Flow, and Genetic Drift01:09

Mutation, Gene Flow, and Genetic Drift

53.1K
In a population that is not at Hardy-Weinberg equilibrium, the frequency of alleles changes over time. Therefore, any deviations from the five conditions of Hardy-Weinberg equilibrium can alter the genetic variation of a given population. Conditions that change the genetic variability of a population include mutations, natural selection, non-random mating, gene flow, and genetic drift (small population size).
53.1K
What is Population Genetics?01:25

What is Population Genetics?

53.9K
A population is composed of members of the same species that simultaneously live and interact in the same area. When individuals in a population breed, they pass down their genes to their offspring. Many of these genes are polymorphic, meaning that they occur in multiple variants. Such variations of a gene are referred to as alleles. The collective set of all the alleles within a population is known as the gene pool.
53.9K
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

1.5K
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...
1.5K
Gene Flow02:39

Gene Flow

30.7K
Gene flow is the transfer of genes among populations, resulting from either the dispersal of gametes or from the migration of individuals.
30.7K
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

438
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
438
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models01:06

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models

333
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...
333

You might also read

Related Articles

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

Sort by
Same author

Ecological risk and source attribution of macro litter in the biodiverse blue carbon mangrove ecosystem along the Gulf of Mannar.

Marine pollution bulletin·2025
Same author

Optimization of selective catalytic reduction for nox emission control: an experimental and CFD analysis of mixer designs.

Scientific reports·2025
Same author

Spatial variation and pollution indices of anthropogenic marine litter on the beaches in gulf of Mannar, India.

Marine pollution bulletin·2025
Same author

Microplastics in the Eastern Arabian Sea: Decision support tools for monitoring and environmental risk reduction.

Journal of environmental management·2024
Same author

Vulnerability of mangrove ecosystems to anthropogenic marine litter along the southeast coast of India.

The Science of the total environment·2024
Same author

Morphometric characteristics and spatiotemporal heterogeneity of microplastics on the north-east coast of India.

Journal of hazardous materials·2024

Related Experiment Video

Updated: Apr 28, 2026

Author Spotlight: Impact of Intergenic Interactions on Disease-Identifying Dark Biomarkers
03:37

Author Spotlight: Impact of Intergenic Interactions on Disease-Identifying Dark Biomarkers

Published on: March 1, 2024

1.6K

An efficient wavelet-based approximation method to gene propagation model arising in population biology.

R Rajaraman1, G Hariharan

  • 1Department of Mathematics, School of Humanities & Sciences, SASTRA University, Thanjavur, 613 401, Tamilnadu, India, rraja@maths.sastra.edu.

The Journal of Membrane Biology
|June 9, 2014
PubMed
Summary

This study introduces a novel wavelet-based method for solving Fisher

More Related Videos

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

1.2K
Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

9.4K

Related Experiment Videos

Last Updated: Apr 28, 2026

Author Spotlight: Impact of Intergenic Interactions on Disease-Identifying Dark Biomarkers
03:37

Author Spotlight: Impact of Intergenic Interactions on Disease-Identifying Dark Biomarkers

Published on: March 1, 2024

1.6K
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

1.2K
Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

9.4K

Area of Science:

  • Mathematical Biology
  • Numerical Analysis
  • Applied Mathematics

Background:

  • Fisher's type and fractional Fisher's equations model important biological phenomena.
  • Existing analytical and numerical methods may have limitations for these complex equations.
  • A rigorous wavelet-based solution for these equations has been lacking.

Purpose of the Study:

  • To develop and present an efficient wavelet-based approximation method for solving Fisher's type and fractional Fisher's equations.
  • To provide a rigorous mathematical framework for wavelet solutions to these equations.
  • To demonstrate the method's effectiveness and applicability in biological science contexts.

Main Methods:

  • The highest derivative is approximated using a Legendre series expansion.
  • Integration and application of boundary conditions determine integration constants.
  • Legendre wavelets operational matrices convert differential equations into algebraic systems.
  • Block-pulse functions are utilized for nonlinear term coefficient vectors.

Main Results:

  • The proposed method successfully converts Fisher's and fractional Fisher's equations into solvable algebraic systems.
  • Convergence analysis confirms the reliability of the wavelet-based approach.
  • Numerical examples validate the accuracy and efficiency of the method.

Conclusions:

  • The developed wavelet-based approximation method is efficient and applicable for solving Fisher's type and fractional Fisher's equations.
  • This work offers a rigorous wavelet solution, addressing a gap in existing literature.
  • The method shows significant potential for modeling biological processes described by these fractional differential equations.