ReviewJournal of the Royal Society, Interface2023
A critical review on applications of the Avrami equation beyond materials science.
Review in Journal of the Royal Society, Interface, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 31 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
31 citing papers in PubMed.
- Non-equilibrium crystallization and spatial fingerprints in flash IR-annealed halide perovskite films.Materials horizons · 2026Article
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- Liquid-Assisted Mechanochemical Synthesis of Cesium Copper(II) Halogenides.Inorganic chemistry · 2026Article
- Decoding α-MoCSmall (Weinheim an der Bergstrasse, Germany) · 2026Article
- Spatiotemporal modeling of tau aggregation following traumatic brain injury: implications for chronic traumatic encephalopathy.Biomechanics and modeling in mechanobiology · 2026Article
- Glyphosate Adsorption by Commercial Materials and Industrial Waste: Equilibrium and Kinetics.ACS omega · 2026Article
- Avrami Kinetics of Cylindrical Growth Under Hard-Wall Confinement: A Monte Carlo Study of Thin-Film Crystallization.Polymers · 2026Article
- Understanding the Mechanism of Nontraditional Zeolite Synthesis UsingJournal of the American Chemical Society · 2026Article
- Magneto-ionic control of magnetism through voltage-driven carbon transport.Nature communications · 2026Article
- A digital twin approach for optimizing okara-based Greek-style yogurt using hybrid Gompertz-LSTM modeling and data assimilation.Current research in food science · 2026Article
- Effect of Olive Stone Biomass Ash Filler in Polylactic Acid Biocomposites on Accelerated Weathering Tests.Polymers · 2025Article
- CsPbBrSmall (Weinheim an der Bergstrasse, Germany) · 2025Article
- Adsorption Kinetics: Classical, Fractal, or Fractional?Langmuir : the ACS journal of surfaces and colloids · 2025Article
- Study on the effect of ammonium (NHScientific reports · 2025Article
- Stability of Tin-Containing Hybrid Perovskites: The Thermal Decomposition of Formamidinium Tin Triiodide (FASnIThe journal of physical chemistry. C, Nanomaterials and interfaces · 2025Article
- Revisiting time-dependent growth and nucleation rates in the Johnson-Mehl-Avrami-Kolmogorov equation.Royal Society open science · 2025Article
- Polymer Crystallization: Universal Macroscopic Description via the Autocatalytic Hoffman-Lauritzen Approach.ACS omega · 2025Article
- ExploitingChemical science · 2025Article
- Stepwise Structural Relaxation in Battery Active Materials.ACS materials letters · 2025Article
- Operando Spectroscopic Investigation of the ReChemphyschem : a European journal of chemical physics and physical chemistry · 2025Article
Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The Johnson-Mehl-Avrami-Kolmogorov (JMAK) formalization, often referred to as the Avrami equation, was originally developed to describe the progress of phase transformations in material systems. Many other transformations in the life, physical and social sciences follow a similar pattern of nucleation and growth. The Avrami equation has been applied widely to modelling such phenomena, including COVID-19, regardless of whether they have a formal thermodynamic basis. We present here an analytical overview of such applications of the Avrami equation outside its conventional use, emphasizing examples from the life sciences. We discuss the similarities that at least partially justify the extended application of the model to such cases. We point out the limitations of such adoption; some are inherent to the model itself, and some are associated with the extended contexts. We also propose a reasoned justification for why the model performs well in many of these non-thermodynamic applications, even when some of its fundamental assumptions are not satisfied. In particular, we explore connections between the relatively accessible verbal and mathematical language of everyday nucleation- and growth-based phase transformations, represented by the Avrami equation, and the more challenging language of the classic SIR (susceptible-infected-removed) model in epidemiology.
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