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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…

Computer-Aided Diagnosis and Treatment of Tumors is a hot topic of deep learning in recent years, which constitutes a series of medical tasks, such as detection of tumor markers, the outline of tumor leisures, subtypes and stages of tumors,…

Image and Video Processing · Electrical Eng. & Systems 2020-11-03 Dan Zhao , Guizhi Xu , Zhenghua XU , Thomas Lukasiewicz , Minmin Xue , Zhigang Fu

Oncolytic virotherapy (OV) has been emerging as a promising novel cancer treatment that may be further combined with the existing therapeutic modalities to enhance their effects. To investigate how OV could enhance chemotherapy, we propose…

Optimization and Control · Mathematics 2018-09-24 Joseph Malinzi , Rachid Ouifki , Amina Eladdadi , Delfim F. M. Torres , K. A. Jane White

The pathogenesis of cancer in human is still poorly understood. With the rapid development of high-throughput sequencing technologies, huge volumes of cancer genomics data have been generated. Deciphering those data poses great…

Genomics · Quantitative Biology 2016-04-06 Junhua Zhang , Shihua Zhang

Background: Advances in the theory and methods of computational oncology have enabled accurate characterization and prediction of tumor growth and treatment response on a patient-specific basis. This capability can be integrated into a…

The topology of gene expression space for a set of 12 cancer types is studied by means of an entropy-like magnitude, which allows the characterization of the regions occupied by tumor and normal samples. The comparison indicates that the…

Tissues and Organs · Quantitative Biology 2022-05-19 Augusto Gonzalez , Frank Quintela , Dario A. Leon , Maria Luisa Bringas Vega , Pedro Valdes Sosa

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…

The aim of this chapter is to provide a brief introduction into the basics of a top-down multilevel tumor dynamics modeling method primarily based on discrete entity consideration and manipulation. The method is clinically oriented, one of…

Medical Physics · Physics 2010-09-14 Georgios Stamatakos

A complete parametric analysis of dynamic regimes of a conceptual model of anti-tumor virus therapy is presented. The role and limitations of mass-action kinetics are discussed. A functional response, which is a function of the ratio of…

Tissues and Organs · Quantitative Biology 2007-05-23 Artem S. Novozhilov , Faina S. Berezovskaya , Eugene V. Koonin , Georgy P. Karev

Reproducibility of computational studies is a hallmark of scientific methodology. It enables researchers to build with confidence on the methods and findings of others, reuse and extend computational pipelines, and thereby drive scientific…

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

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

In this survey article, a variety of systems modeling tumor growth are discussed. In accordance with the hallmarks of cancer, the described models incorporate the primary characteristics of cancer evolution. Specifically, we focus on…

Dynamical Systems · Mathematics 2023-03-21 Marvin Fritz

A tumor often consists of multiple cell subpopulations (clones). Current chemo-treatments often target one clone of a tumor. Although the drug kills that clone, other clones overtake it and the tumor reoccurs. Genome sequencing and…

Molecular Networks · Quantitative Biology 2014-09-09 Edwin Wang , Jinfeng Zou , Naif Zaman , Lenore K. Beitel , Mark Trifiro , Miltiadis Paliouras

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

Recent progress in microdissection and in DNA sequencing has enabled subsampling of multi-focal cancers in organs such as the liver in several hundred spots, helping to determine the pattern of mutations in each of these spots. This has led…

Populations and Evolution · Quantitative Biology 2018-01-04 Philip A. Ernst , Marek Kimmel , Monika Kurpas , Quan Zhou

The histological assessment of human tissue has emerged as the key challenge for detection and treatment of cancer. A plethora of different data sources ranging from tissue microarray data to gene expression, proteomics or metabolomics data…

Computer Vision and Pattern Recognition · Computer Science 2016-01-05 Thomas J. Fuchs , Joachim M. Buhmann

The majority of solid tumours arise in epithelia and therefore much research effort has gone into investigating the growth, renewal and regulation of these tissues. Here we review different mathematical and computational approaches that…

Tissues and Organs · Quantitative Biology 2019-12-23 O. J. Maclaren , A. G. Fletcher , H. M. Byrne , P. K. Maini

Despite all the advances achieved in the field of tumor-biology research, in most cases conventional therapies including chemotherapy are still the leading choices. The main disadvantage of these treatments, in addition to the low…

Tissues and Organs · Quantitative Biology 2024-01-25 Paola Sanchez-Moreno , Juan Luis Ortega-Vinuesa , Jose Manuel Peula-Garcia , Juan Antonio Marchal , Houria Boulaiz

During the last decades, medical observations and multiscale data concerning tumor growth are mounting. At the same time, contemporary imaging techniques well established in clinical practice, provide a variety of information on real-time,…

Tissues and Organs · Quantitative Biology 2017-12-11 Markos Antonopoulos , Georgios Stamatakos