Authors :
Dr. Mitat Uysal; Dr. Aynur Uysal
Volume/Issue :
Volume 10 - 2025, Issue 4 - April
Google Scholar :
https://tinyurl.com/fvwe6wat
Scribd :
https://tinyurl.com/ybzhjzxp
DOI :
https://doi.org/10.38124/ijisrt/25apr1680
Google Scholar
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Abstract :
Brain tumors pose a significant challenge in medical diagnostics and treatment due to their heterogeneous nature
and complex growth patterns. Recent advances in machine learning (ML) have enhanced traditional modeling approaches
by incorporating data-driven predictions and adaptive learning. This article explores machine learning-enhanced models
for brain tumors, focusing on mathematical equations that describe tumor growth and ML techniques used for prediction
and classification. We present detailed mathematical models, including diffusion-reaction equations and tumor segmentation
approaches, and conclude with a Python-based example of logistic regression-based classification using only NumPy.
Keywords :
Brain Tumor, Machine Learning, Logistic Regression, Mathematical Modeling, Diffusion-Reaction Equation, Tumor Growth, Artificial Intelligence.
References :
- Gatenby, R.A., et al. “Mathematical Oncology.” Cancer Res, 2003.
- Rockne, R., et al. “A Patient-Specific Computational Model of Glioma Growth.” Math Biosci Eng, 2010.
- Swanson, K.R., et al. “A Quantitative Model for Differential Motility of Gliomas in Grey and White Matter.” Cell Prolif, 2000.
- Clatz, O., et al. “Realistic Simulation of Tumor Growth.” MICCAI, 2005.
- Murray, J.D. “Mathematical Biology.” Springer, 2002.
- Painter, K.J., Hillen, T. “Mathematical modeling of glioma growth.” J Neurooncol, 2013.
- Yankeelov, T.E., et al. “Toward a science of tumor forecasting.” J Clin Invest, 2013.
- Hormuth, D.A., et al. “Personalized treatment simulations.” Nat Biomed Eng, 2021.
- Bishop, C.M. “Pattern Recognition and Machine Learning.” Springer, 2006.
- Hastie, T., Tibshirani, R., Friedman, J. “The Elements of Statistical Learning.” Springer, 2009.
- Ng, A. “Machine Learning Lectures.” Stanford, 2011.
- Pereira, S., et al. “Brain tumor segmentation using CNNs.” Med Image Anal, 2016.
- Kamnitsas, K., et al. “Efficient multi-scale 3D CNN with CRF.” Med Image Anal, 2017.
- Isensee, F., et al. “nnU-Net: Self-adapting framework for segmentation.” Nat Methods, 2021.
- Wang, G., et al. “Deep Learning for MRI Brain Tumor Detection.” IEEE TMI, 2020.
- Raissi, M., Perdikaris, P., Karniadakis, G.E. “Physics-informed neural networks.” J Comput Phys, 2019.
- Sahli Costabal, F., et al. “Physics-informed neural networks for PDEs.” Comput Methods Appl Mech Eng, 2020.
- Chen, R.J., et al. “Hybrid Models for Brain Tumors.” arXiv preprint arXiv:2203.12345, 2022.
- Ilyas, M., et al. “AI in Radiology: Trends and Applications.” AJR, 2019.
- Chilamkurthy, S., et al. “Deep learning algorithms for radiologic detection.” Lancet Digital Health, 2018.
- Akkus, Z., et al. “Deep learning for brain MRI analysis.” Magn Reson Imaging, 2017.
- Saxena, S., et al. “Brain Tumor Detection via ML.” Int J Med Inform, 2021.
- Menze, B.H., et al. “Multimodal Brain Tumor Segmentation Challenge.” IEEE TMI, 2015.
- Bakas, S., et al. “Advancing cancer research with ML.” Cancer Res, 2018.
- Esteva, A., et al. “A guide to deep learning in healthcare.” Nat Med, 2019.
Brain tumors pose a significant challenge in medical diagnostics and treatment due to their heterogeneous nature
and complex growth patterns. Recent advances in machine learning (ML) have enhanced traditional modeling approaches
by incorporating data-driven predictions and adaptive learning. This article explores machine learning-enhanced models
for brain tumors, focusing on mathematical equations that describe tumor growth and ML techniques used for prediction
and classification. We present detailed mathematical models, including diffusion-reaction equations and tumor segmentation
approaches, and conclude with a Python-based example of logistic regression-based classification using only NumPy.
Keywords :
Brain Tumor, Machine Learning, Logistic Regression, Mathematical Modeling, Diffusion-Reaction Equation, Tumor Growth, Artificial Intelligence.