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

First Derivative Test: Problem Solving01:25

First Derivative Test: Problem Solving

201
Imagine an asset price that crashes to a low point, rebounds sharply as bargain-hunters step in, and then gradually declines. Such behavior can be modeled with a smooth function whose turning points represent locally overvalued and undervalued regions. A convenient example that captures rebound followed by decay is:The high and low points of this curve are identified using the first derivative test, which determines where the function changes from increasing to decreasing or vice versa. To...
201
Reaction Quotient02:35

Reaction Quotient

55.7K
The status of a reversible reaction is conveniently assessed by evaluating its reaction quotient (Q). For a reversible reaction described by m A + n B ⇌ x C + y D, the reaction quotient is derived directly from the stoichiometry of the balanced equation as
55.7K
Modeling with Differential Equations01:25

Modeling with Differential Equations

289
Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...
289
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model01:13

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

406
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
406
Pharmacodynamic Models: Direct Effect Model and Indirect Response Model01:29

Pharmacodynamic Models: Direct Effect Model and Indirect Response Model

141
Pharmacodynamic models are essential tools in understanding the relationship between drug concentrations and their effects on biological systems. By characterizing the dynamics of drug action, these models guide dose selection, optimize therapeutic efficacy, and inform the development of new drugs. Two major classes of pharmacodynamic models include direct effect and indirect response models.Direct Effect ModelsDirect effect models describe the immediate relationship between drug concentration...
141
Impact of Pharmacokinetic–Pharmacodynamic Models: Regulatory Decisions01:15

Impact of Pharmacokinetic–Pharmacodynamic Models: Regulatory Decisions

87
PK–PD modeling has significantly influenced FDA regulatory decisions, particularly drug approval, dosage optimization, and labeling. These models integrate pharmacokinetics (PK) and pharmacodynamics (PD) to predict drug behavior and effects, aiding in optimizing dosing regimens and enhancing the probability of clinical trial success.One notable example is Nesiritide (Natrecor®), a recombinant human brain natriuretic peptide for treating acute decompensated congestive heart failure...
87

You might also read

Related Articles

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

Sort by
Same author

ESHRE good practice recommendations on recurrent implantation failure.

Human reproduction open·2023
Same author

Definition, diagnostic and therapeutic options in recurrent implantation failure: an international survey of clinicians and embryologists.

Human reproduction (Oxford, England)·2020
Same author

Manifestation of migraine in adolescents: Does it change in puberty?

European journal of paediatric neurology : EJPN : official journal of the European Paediatric Neurology Society·2020
Same author

Correction to: Primary immunodeficiencies in Central and Eastern Europe-the power of networking Report on the activity of the Jeffrey Modell Foundation Centers Network in Central and Eastern Europe.

Immunologic research·2020
Same author

Evaluation of the exposure, dose-response and fate in the lung and pleura of chrysotile-containing brake dust compared to TiO<sub>2</sub>, chrysotile, crocidolite or amosite asbestos in a 90-day quantitative inhalation toxicology study - Interim results Part 1: Experimental design, aerosol exposure, lung burdens and BAL.

Toxicology and applied pharmacology·2019
Same author

Evaluation of the dose-response and fate in the lung and pleura of chrysotile-containing brake dust compared to TiO<sub>2</sub>, chrysotile, crocidolite or amosite asbestos in a 90-day quantitative inhalation toxicology study - Interim results Part 2: Histopathological examination, Confocal microscopy and collagen quantification of the lung and pleural cavity.

Toxicology and applied pharmacology·2019
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Apr 18, 2026

An R-Based Landscape Validation of a Competing Risk Model
05:37

An R-Based Landscape Validation of a Competing Risk Model

Published on: September 16, 2022

2.8K

Anomalous impact in reaction-diffusion financial models.

I Mastromatteo1, B Tóth2, J-P Bouchaud2

  • 1Centre de Mathématiques Appliquées, CNRS, UMR7641, Ecole Polytechnique, 91128 Palaiseau, France.

Physical Review Letters
|January 24, 2015
PubMed
Summary
This summary is machine-generated.

This study generalizes the A+B→0 reaction-diffusion model to explore imbalances. The findings reveal a square-root relationship between front displacement and imbalance, offering insights into financial market dynamics.

More Related Videos

Measuring Delay Discounting in Humans Using an Adjusting Amount Task
07:47

Measuring Delay Discounting in Humans Using an Adjusting Amount Task

Published on: January 9, 2016

16.2K
Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.6K

Related Experiment Videos

Last Updated: Apr 18, 2026

An R-Based Landscape Validation of a Competing Risk Model
05:37

An R-Based Landscape Validation of a Competing Risk Model

Published on: September 16, 2022

2.8K
Measuring Delay Discounting in Humans Using an Adjusting Amount Task
07:47

Measuring Delay Discounting in Humans Using an Adjusting Amount Task

Published on: January 9, 2016

16.2K
Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.6K

Area of Science:

  • Chemical Kinetics
  • Mathematical Modeling
  • Financial Market Analysis

Background:

  • Reaction-diffusion models like A+B→0 are fundamental in chemistry and physics.
  • Understanding the impact of reactant imbalance is crucial for predicting reaction front behavior.
  • Existing models may not fully capture the effects of significant reactant excess.

Purpose of the Study:

  • To generalize the A+B→0 reaction-diffusion model.
  • To investigate the effect of an excess of reactant A or B on the reaction front.
  • To explore the applicability of this model to financial markets.

Main Methods:

  • Generalization of the standard A+B→0 reaction-diffusion model.
  • Derivation of an exact analytical solution for the generalized model.
  • Analysis of the reaction front displacement under varying reactant imbalances.

Main Results:

  • The linear response of the reaction front breaks down with reactant imbalance.
  • Average reaction front displacement exhibits a square-root dependence on the imbalance.
  • The model provides a simplified yet generalizable framework for understanding complex phenomena.

Conclusions:

  • Reactant imbalance significantly alters reaction-diffusion dynamics.
  • The square-root relationship offers a new perspective on front propagation under non-stoichiometric conditions.
  • The findings suggest potential analogies between chemical reaction fronts and large order impacts in financial markets.