Fractional calculus in mathematical oncology

T Alinei-Poiana, EH Dulf, L Kovacs - Scientific Reports, 2023 - nature.com
Even though, nowadays, cancer is one of the leading causes of death, too little is known
about the behavior of this disease due to its unpredictability from one patient to another …

Experimental Closed‐Loop Control of Breast Cancer in Mice

L Kovács, B Czakó, M Siket, T Ferenci, A Füredi… - …, 2022 - Wiley Online Library
Cancer therapy optimization is an issue that can be solved using the control engineering
approach. An optimal therapy generation algorithm is presented and tested using a tractable …

Indirect supervised fine-tuning of a tumor model parameter estimator neural network

L Kisbenedek, M Puskás, L Kovács… - 2023 IEEE 17th …, 2023 - ieeexplore.ieee.org
Personalized therapy based on mathematical foundations is a promising method for treating
various types of cancer. By identifying the parameters of mathematical equations, we could …

Clustering-based parameter estimation of a tumor model

L Kisbenedek, M Puskás, L Kovács… - 2023 IEEE 21st …, 2023 - ieeexplore.ieee.org
In the field of medical research, therapy optimization is a crucial area that deserves
significant attention. In chemotherapy, tumor modeling plays an essential role in describing …

[PDF][PDF] Chemotherapy optimization and patient model parameter estimation based on noisy measurements

B Gergics, M Puskás, L Kisbenedek… - Acta Polytechnica …, 2024 - acta.uni-obuda.hu
The application of the achievements of mathematics and informatics greatly helped the
development of medicine. Designing personalized therapies using different algorithms is …

Tumor model parameter estimation for therapy optimization using artificial neural networks

M Puskás, DA Drexler - 2021 IEEE International Conference on …, 2021 - ieeexplore.ieee.org
Therapy optimization and personalization in cancer treatment requires reliable mathematical
models. A key issue in personalization is the identification of the model parameters. We …

Time-varying parameter identification of a tumor growth model using moving horizon estimation

B Czakó, DA Drexler, L Kovács - 2022 IEEE 26th International …, 2022 - ieeexplore.ieee.org
A nonlinear Moving Horizon Estimator (MHE) was developed which can estimate the time-
varying parameters of a tumor growth model under chemotherapeutic treatment. We …

The effect of the choice of initial estimation for a tumor model parameter estimation problem

E Nagy, DA Drexler - … Intelligence and Informatics and 8th IEEE …, 2022 - ieeexplore.ieee.org
Cyber-medical systems provides lots of possibilities that help doctors plan more effective
treatments. A reliable mathematical model that can be customized is essential for therapy …

Tracking parameter changes of an impulsive tumor growth model

E Nagy, B Czakó, M Siket, B Gombos… - 2022 IEEE 10th …, 2022 - ieeexplore.ieee.org
Personalization of chemotherapy requires a mathematical model tailored to the patient. The
tailoring requires the knowledge of the parameters specific to the patient, however, these …

[PDF][PDF] General chemotherapy protocols

A Moustafid¹ - Journal of Applied Dynamic Systems and Control, 2021 - journals.iau.ir
In this paper we treat the problem of cancer control by chemotherapy, through general
model in ordinary differential equation form of tumor dynamics. The model is augmented by …