Article detail · 2021
A Fractional Modeling of Tumor\u2013Immune System Interaction Related to Lung Cancer with Real Data
Journal
The European Physical Journal PlusISSN 2190-5444
The ISSN points to another catalog journal; the name is from the YÖKSİS record.
- Year
- 2021
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue The European Physical Journal Plus
- Catalog match (ISSN) European Physical Journal Plus
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
Abstract In this study, we investigate a new fractional-order mathematical model which considers population dynamics among tumor cells-macrophage cells-active macrophage cells, and host cells involving the Caputo fractional derivative. Firstly, the stability of the positive steady state of the model is studied. Subsequently, the conditions for existence and uniqueness of the solutions are examined. Then, the least squares curve fitting method (LSCFM) which is one of the prominent methods for parameter estimation is used to fit the parameters of the model. It is aimed to fit the relevant parameters with the help of the tumor tissue samples which were collected from the patient with non-small cell lung cancer who had chemotherapy-naive hospitalized at Kayseri Erciyes University hospital in Turkey. A total of 12 parameters in the model are estimated using the data of lung tumor cells of this patient for 14 days. Moreover, the numerical simulations are given by considering the different fractional orders and different parameters for the model. So, it is achieved how the change in $$\alpha $$ α affects the dynamic behavior of the system. In the sequel, to point out the advantages of the fractional-order modeling, the memory trace and hereditary traits are taken into consideration. Finally, the interpretations in terms of biological science are provided in conclusion. We believe that this interdisciplinary study will open new doors for other similar studies and will shed light on the studies to be developed on the use of real data in the mathematical modeling of cancer.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
95 citations
OpenAlex cited_by_count (cache / database)
24 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom 2022
- Transition dynamics between a novel coinfection model of fractional-order for COVID-19 and tuberculosis via a treatment mechanism 2023
- A New Modeling of Fractional-Order and Sensitivity Analysis for Hepatitis-B Disease with Real Data 2023
- Qualitative analysis and numerical simulations of new model describing cancer 2023
- Study of power law non-linearity in solitonic solutions using extended hyperbolic function method 2022
- A study on the dynamics of alkali–silica chemical reaction by using Caputo fractional derivative 2022
- PREFACE: MODELLING & ANALYSIS OF BIOLOGICAL & BIOPHYSICAL PROCESSES WITH APPLICATIONS 2025
- Dynamic analysis of fractal–fractional cancer model under chemotherapy drug with generalized Mittag-Leffler kernel 2025
- Numerical Analysis of Time-Fractional Cancer Models with Different Types of Net Killing Rate 2025
- A mathematical modeling of patient-derived lung cancer stem cells with fractional-order derivative 2024