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Cancer pathology is unique to a given individual, and developing personalized diagnostic and treatment protocols are a primary concern. Mathematical modeling and simulation is a promising approach to personalized cancer medicine. Yet, the…

Tissues and Organs · Quantitative Biology 2020-08-03 Alvaro Köhn-Luque , Xiaoran Lai , Arnoldo Frigessi

The concept of personalised medicine in cancer therapy is becoming increasingly important. There already exist drugs administered specifically for patients with tumours presenting well-defined mutations. However, the field is still in its…

Biomolecules · Quantitative Biology 2024-08-26 Abbi Abdel-Rehim , Oghenejokpeme Orhobor , Gareth Griffiths , Larisa Soldatova , Ross D. King

Despite advances in methods to interrogate tumor biology, the observational and population-based approach of classical cancer research and clinical oncology does not enable anticipation of tumor outcomes to hasten the discovery of cancer…

Current clinical decision-making in oncology relies on averages of large patient populations to both assess tumor status and treatment outcomes. However, cancers exhibit an inherent evolving heterogeneity that requires an individual…

Computational modeling of cancer can help unveil dynamics and interactions that are hard to replicate experimentally. Thanks to the advancement in cancer databases and data analysis technologies, these models have become more robust than…

Quantitative Methods · Quantitative Biology 2023-11-07 Navid Mohammad Mirzaei , Leili Shahriyari

Mathematical oncology provides unique and invaluable insights into tumour growth on both the microscopic and macroscopic levels. This review presents state-of-the-art modelling techniques and focuses on their role in understanding…

The goal of cancer immunotherapy is to boost a patient's immune response to a tumor. Yet, the design of an effective immunotherapy is complicated by various factors, including a potentially immunosuppressive tumor microenvironment,…

Tissues and Organs · Quantitative Biology 2017-06-29 Anna Konstorum , Anthony T. Vella , Adam J. Adler , Reinhard Laubenbacher

Clinical management of cancer has continuously evolved for several decades. Biochemical, molecular and genomics approaches have brought and still bring numerous insights into cancerous diseases. It is now accepted that some phenomena,…

Computational pathology is part of precision oncology medicine. The integration of high-throughput data including genomics, transcriptomics, proteomics, metabolomics, pathomics, and radiomics into clinical practice improves cancer treatment…

Image and Video Processing · Electrical Eng. & Systems 2022-06-07 Liangrui Pan , Zhichao Feng , Shaoliang Peng

Tumor growth prediction, a highly challenging task, has long been viewed as a mathematical modeling problem, where the tumor growth pattern is personalized based on imaging and clinical data of a target patient. Though mathematical models…

Computer Vision and Pattern Recognition · Computer Science 2017-06-05 Ling Zhang , Le Lu , Ronald M. Summers , Electron Kebebew , Jianhua Yao

We present multiscale models of cancer tumor invasion with components at the molecular, cellular, and tissue levels. We provide biological justifications for the model components, present computational results from the model, and discuss…

Quantitative Methods · Quantitative Biology 2023-02-14 Bruce P. Ayati , Glenn F. Webb , Alexander R. A. Anderson

Mathematical oncology is a rapidly evolving interdisciplinary field that uses mathematical models to enhance our understanding of cancer dynamics, including tumor growth, metastasis, and treatment response. Tumor-immune interactions play a…

Quantitative Methods · Quantitative Biology 2025-11-05 Chenghang Li , Jinzhi Lei

Cancer remains one of the most challenging diseases to treat in the medical field. Machine learning has enabled in-depth analysis of rich multi-omics profiles and medical imaging for cancer diagnosis and prognosis. Despite these…

Machine Learning · Computer Science 2024-01-15 Lingchao Mao , Hairong Wang , Leland S. Hu , Nhan L Tran , Peter D Canoll , Kristin R Swanson , Jing Li

AI-driven precision oncology has the transformative potential to reshape cancer treatment by leveraging the power of AI models to analyze the interaction between complex patient characteristics and their corresponding treatment outcomes.…

Cancer evolves continuously over time through a complex interplay of genetic, epigenetic, microenvironmental, and phenotypic changes. This dynamic behavior drives uncontrolled cell growth, metastasis, immune evasion, and therapy resistance,…

Quantitative Methods · Quantitative Biology 2025-07-08 Luoting Zhuang , Stephen H. Park , Steven J. Skates , Ashley E. Prosper , Denise R. Aberle , William Hsu

Quantifying the uncertainty in predictive models is critical for establishing trust and enabling risk-informed decision making for personalized medicine. In contrast to one-size-fits-all approaches that seek to mitigate risk at the…

Computational Engineering, Finance, and Science · Computer Science 2025-05-15 Graham Pash , Umberto Villa , David A. Hormuth , Thomas E. Yankeelov , Karen Willcox

The computer simulation of organ-scale biomechanistic models of cancer personalized via routinely collected clinical and imaging data enables to obtain patient-specific predictions of tumor growth and treatment response over the anatomy of…

The speed and the versatility of today's computers open up new opportunities to simulate complex biological systems. Here we review a computational approach recently proposed by us to model large tumor cell populations and spheroids, and we…

Tissues and Organs · Quantitative Biology 2010-12-13 Roberto Chignola , Alessio Del Fabbro , Marcello Farina , Edoardo Milotti

Adaptive therapy is a dynamic cancer treatment protocol that updates (or "adapts") treatment decisions in anticipation of evolving tumor dynamics. This broad term encompasses many possible dynamic treatment protocols of patient-specific…

Cancer remains a leading cause of death worldwide, necessitating personalized treatment approaches to improve outcomes. Theranostics, combining molecular-level imaging with targeted therapy, offers potential for precision oncology but…

Computational Engineering, Finance, and Science · Computer Science 2025-05-16 Binesh Sadanandan , Vahid Behzadan
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