Modeling tumor growth using fractal calculus: Insights into tumor dynamics.

Authors

Amirreza Khalili Golmankhaneh, Sümeyye Tunç, Agnieszka Matylda Schlichtinger, Dachel Martinez Asanza, Alireza Khalili Golmankhaneh

Published in

Bio Systems. Volume 235. Pages 105071. Epub Nov 07, 2023.

Abstract

Important concepts like fractal calculus and fractal analysis, the sum of squared residuals, and Aikaike's information criterion must be thoroughly understood in order to correctly fit cancer-related data using the proposed models. The fractal growth models employed in this work are classified in three main categories: Sigmoidal growth models (Logistic, Gompertz, and Richards models), Power Law growth model, and Exponential growth models (Exponential and Exponential-Lineal models)". We fitted the data, computed the sum of squared residuals, and determined Aikaike's information criteria using Matlab and the web tool WebPlotDigitizer. In addition, the research investigates "double-size cancer" in the fractal temporal dimension with respect to various mathematical models.

PMID:
37944632
Bibliographic data and abstract were imported from PubMed on 10 Jun 2025.

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