{rfName}
A

Indexed in

License and use

Citations

1

Altmetrics

Analysis of institutional authors

López ágCorresponding Author

Share

January 8, 2024
Publications
>
Article
Green

A SCALING LAW RELATING THE RATE OF DESTRUCTION OF A SOLID TUMOR AND THE FRACTAL DIMENSION OF ITS BOUNDARY

Publicated to:Fractals-Complex Geometry Patterns And Scaling In Nature And Society. 32 (1): - 2024-01-01 32(1), DOI: 10.1142/S0218348X24500099

Authors: Lopez, Alvaro G; Sanjuan, Lorena R

Affiliations

Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Física, Universidad Rey Juan Carlos, Madrid, Tulipán s/n, Móstoles, 28933, Spain - Author
Univ Rey Juan Carlos, Dept Fis, Nonlinear Dynam Chaos & Complex Syst Grp, Tulipan S-N, Mostoles 28933, Madrid, Spain - Author

Abstract

In this paper, we investigate the scaling law relating the size of the boundary of a solid tumor and the rate at which it is lysed by a cell population of non-infiltrating cytotoxic lymphocytes. We do it in the context of enzyme kinetics through geometrical, analytical and numerical arguments. Following the Koch island fractal model, a scale-dependent function that describes the constant rate of the decay process and the fractal dimension is obtained. Then, in silico experiments are accomplished by means of a stochastic hybrid cellular automaton model. This model is used to grow several tumors with varying morphology and to test the power decay law when the cell-mediated immune response is effective, confirming its validity. © 2024 World Scientific Publishing Company.

Keywords

cancer modellingcellular automatadynamicsfractal growthgrowthmediated immune-responsetumor-immune interactionsCancer modellingCancer modelsCell cultureCell populationsCell proliferationCellular automataCellular automatonsCytotoxicEnzyme kineticsEnzymes kineticsFractal dimensionFractal growthFractal modelingGrowth kineticsKoch islandPopulation statisticsScaling lawsSolid tumorsStochastic modelsStochastic systemsTumor-immune interactionTumor-immune interactionsTumorsValidated mathematical-model

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Fractals-Complex Geometry Patterns And Scaling In Nature And Society due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2024 there are still no calculated indicators, but in 2023, it was in position 26/136, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics, Interdisciplinary Applications.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 1.05, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jul 2025)

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-30:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 1 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

    It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

    • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

    Leadership analysis of institutional authors

    There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (García López, Alvaro) and Last Author ().

    the author responsible for correspondence tasks has been García López, Alvaro.