Modeling tumor growth using fractal calculus: Insights into tumor dynamics

Biosystems. 2023 Nov 7:105071. doi: 10.1016/j.biosystems.2023.105071. Online ahead of print.ABSTRACTImportant 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: Sigmodial 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 | DOI:10.1016/j.biosystems.2023.105071

Source: Biosystems - November 9, 2023 Category: Biotechnology Authors: Amirreza Khalili Golmankhaneh S ümeyye Tunç Agnieszka Matylda Schlichtinger Dachel Martinez Asanza Alireza Khalili Golmankhaneh Source Type: research