Modeling tumor growth using fractal calculus: Insights into tumor dynamics
View/ Open
Access
info:eu-repo/semantics/embargoedAccessDate
2024Author
Golmankhaneh, Amirreza KhaliliTunç, Sümeyye
Schlichtinger, Agnieszka Matylda
Asanza, Dachel Martinez
Golmankhaneh, Alireza Khalili
Metadata
Show full item recordCitation
Golmankhaneh, A. K., Tunç, S., Schlichtinger, A. M., Asanza, D. M. ve Golmankhaneh, A. K. (2024). Modeling tumor growth using fractal calculus: Insights into tumor dynamics. BioSystems, 235. https://dx.doi.org/10.1016/j.biosystems.2023.105071Abstract
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.
WoS Q Kategorisi
Q3xmlui.dri2xhtml.METS-1.0.item-scopusquality
Q3Source
BioSystemsVolume
235Collections
Related items
Showing items related by title, author, creator and subject.
-
Evaluating the effects of functional orthodontic treatment on mandibular osseous structure using fractal dimension analysis of dental panoramic radiographs
Cesur, Emre; Bayrak, Seval; Kurşun Çakmak, Emine Şebnem; Arslan, Can; Köklü, Ayşegül; Orhan, Kaan (Edward H. Angle Education and Research Foundation, 2020)Objective: To evaluate the effects of functional appliance treatment on mandibular trabecular structure using fractal dimension (FD) analysis of dental panoramic radiographs.Materials and Methods: This study was conducted ... -
Ultra-wideband pentagonal fractal antenna with stable radiation characteristics for microwave imaging applications
Khan, Muhammad Abbas; Rafique, Umair; Savcı, Hüseyin Şerif; Nordin, Anis Nurashikin; Kiani, Saad Hassan; Abbas, Syed Muzahir (MDPI, 2022)For microwave imaging applications, a design for an ultra-wideband (UWB) fractal antenna is presented. The antenna design is composed of a pentagonal fractal patch radiator fed by a modified co-planar waveguide (CPW) ground ... -
Circular ring fractal UWB antenna for microwave imaging applications
Rafique, Umair; Agarwal, Shobit; Abbas, Syed Muzahir; Dalal, Priyanka; Ullah, Raza; Kiani, Saad Hassan (Institute of Electrical and Electronics Engineers Inc., 2023)In this work, an ultra-wideband (UWB) planar antenna design is presented that is suitable for microwave imaging applications. The radiating element is comprised of three connected rings connected through thin metallic ...