Interactions between the immune system and cancer: a brief review of non-spatial mathematical models

R Eftimie, JL Bramson, DJD Earn - Bulletin of mathematical biology, 2011 - Springer
We briefly review spatially homogeneous mechanistic mathematical models describing the
interactions between a malignant tumor and the immune system. We begin with the simplest …

Quantitative systems pharmacology approaches for immuno‐oncology: adding virtual patients to the development paradigm

V Chelliah, G Lazarou, S Bhatnagar… - Clinical …, 2021 - Wiley Online Library
Drug development in oncology commonly exploits the tools of molecular biology to gain
therapeutic benefit through reprograming of cellular responses. In immuno‐oncology (IO) …

Mathematical modeling of BCG-based bladder cancer treatment using socio-demographics

E Savchenko, A Rosenfeld… - Scientific Reports, 2023 - nature.com
Cancer is one of the most widespread diseases around the world with millions of new
patients each year. Bladder cancer is one of the most prevalent types of cancer affecting all …

Solving an optimal control problem of cancer treatment by artificial neural networks

F Heydarpour, E Abbasi, MJ Ebadi, SM Karbassi - IJIMAI, 2020 - dialnet.unirioja.es
Cancer is an uncontrollable growth of abnormal cells in any tissue of the body. Many
researchers have focused on machine learning and artificial intelligence (AI) based on …

Addressing current challenges in cancer immunotherapy with mathematical and computational modelling

A Konstorum, AT Vella, AJ Adler… - Journal of the …, 2017 - royalsocietypublishing.org
The goal of cancer immunotherapy is to boost a patient's immune response to a tumour. Yet,
the design of an effective immunotherapy is complicated by various factors, including a …

Revolutionizing cancer treatment: comprehensive insights into immunotherapeutic strategies

NR Raghani, MR Chorawala, M Mahadik, RB Patel… - Medical Oncology, 2024 - Springer
Cancer, characterized by the uncontrolled proliferation of aberrant cells, underscores the
imperative for innovative therapeutic approaches. Immunotherapy has emerged as a pivotal …

Analysis and dynamical behavior of fractional‐order cancer model with vaccine strategy

M Farman, A Akgül, A Ahmad… - Mathematical Methods in …, 2020 - Wiley Online Library
In recent year, the world has witnessed the arrival of deadly diseases like cancer over all the
global levels. To fight back this disease or control the spread, mankind relies on modeling …

[HTML][HTML] Delay-induced oscillatory dynamics of tumour–immune system interaction

A d'Onofrio, F Gatti, P Cerrai, L Freschi - Mathematical and Computer …, 2010 - Elsevier
The aim of this work on tumour–immune system (T-IS) interaction is to assess the effect of
delays concerning the stimulation of the immune system by tumour cells, as well as the …

[HTML][HTML] A study on cancer-obesity-treatment model with quadratic optimal control approach for better outcomes

K Dehingia, SW Yao, K Sadri, A Das, HK Sarmah… - Results in Physics, 2022 - Elsevier
In this study, we propose a cancer-obesity-treatment model under the control parameters: IL-
2 therapy, ACI therapy, and nutritional diet. We analyze the proposed model and examine …

[图书][B] An introduction to physical oncology: How mechanistic mathematical modeling can improve cancer therapy outcomes

V Cristini, E Koay, Z Wang - 2017 - books.google.com
Physical oncology has the potential to revolutionize cancer research and treatment. The
fundamental rationale behind this approach is that physical processes, such as transport …