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Öğe Modeling tumor growth using fractal calculus: Insights into tumor dynamics(Elsevier Ireland Ltd, 2024) Golmankhaneh, Amirreza Khalili; Tunç, Sümeyye; Schlichtinger, Agnieszka Matylda; Asanza, Dachel Martinez; Golmankhaneh, Alireza KhaliliImportant 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.











