An overview of mathematical modelling in cancer research: fractional calculus as modelling tool
LC Vieira, RS Costa, D Valério - Fractal and Fractional, 2023 - mdpi.com
Cancer is a complex disease, responsible for a significant portion of global deaths. The
increasing prioritisation of know-why over know-how approaches in biological research has …
increasing prioritisation of know-why over know-how approaches in biological research has …
A fractional modeling of tumor–immune system interaction related to lung cancer with real data
In this study, we investigate a new fractional-order mathematical model which considers
population dynamics among tumor cells-macrophage cells-active macrophage cells, and …
population dynamics among tumor cells-macrophage cells-active macrophage cells, and …
Fractional mathematical oncology: On the potential of non-integer order calculus applied to interdisciplinary models
Mathematical Oncology investigates cancer-related phenomena through mathematical
models as comprehensive as possible. Accordingly, an interdisciplinary approach involving …
models as comprehensive as possible. Accordingly, an interdisciplinary approach involving …
An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment
This paper proposes an optimization method for solving a general form of nonlinear
fractional optimal control problems (NFOCP) governed by nonlinear fractional dynamical …
fractional optimal control problems (NFOCP) governed by nonlinear fractional dynamical …
Qualitative analysis and numerical simulations of new model describing cancer
Cancer is a major illness which still results in the loss of human lives regardless of the
inroads we make in the scientific and medical world. For this reason, recently, the medical …
inroads we make in the scientific and medical world. For this reason, recently, the medical …
Can fractional calculus help improve tumor growth models?
ODE-based population models remain viable tools to investigate tumor growth and support
clinical evidence. By following a fractional approach, this study derives analytical solutions …
clinical evidence. By following a fractional approach, this study derives analytical solutions …
On multistep tumor growth models of fractional variable-order
Fractional mathematical oncology is a research topic that applies non-integer order calculus
to tackle cancer problems such as tumor growth analysis or its optimal treatment. This work …
to tackle cancer problems such as tumor growth analysis or its optimal treatment. This work …
Mathematical Modeling of Breast Cancer Based on the Caputo–Fabrizio Fractal-Fractional Derivative
Breast cancer ranks among the most prevalent malignancies affecting the female population
and is a prominent contributor to cancer-related mortality. Mathematical modeling is a …
and is a prominent contributor to cancer-related mortality. Mathematical modeling is a …
Fractional type multivariate neural network operators
U Kadak - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
In this paper, we introduce a novel family of multivariate neural network operators involving
Riemann‐Liouville fractional integral operator of order α. Their pointwise and uniform …
Riemann‐Liouville fractional integral operator of order α. Their pointwise and uniform …
New fractional cancer mathematical model via IL-10 cytokine and anti-PD-L1 inhibitor
In this study, we explore a recent biological model created to analyze the behavior of cancer
cells by administering a dose of a drug containing anti-PD-L1 and IL-10 with the Caputo and …
cells by administering a dose of a drug containing anti-PD-L1 and IL-10 with the Caputo and …