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We give a very short introduction to discrete and continuum models for the evolutionary and spatial dynamics of cancer through two case studies: a model for the evolutionary dynamics of cancer cells under cytotoxic therapy and a model for…

Tissues and Organs · Quantitative Biology 2019-11-07 Tommaso Lorenzi , Fiona R. Macfarlane , Chiara Villa

From a systems biology perspective the majority of cancer models, although interesting and providing a qualitative explanation of some problems, have a major disadvantage in that they usually miss a genuine connection with experimental…

Statistics Theory · Mathematics 2023-05-25 Zuzanna Szymańska , Jakub Skrzeczkowski , Błażej Miasojedow , Piotr Gwiazda

Imaging in clinical oncology trials provides a wealth of information that contributes to the drug development process, especially in early phase studies. This paper focuses on kinetic modeling in DCE-MRI, inspired by mixed-effects models…

Applications · Statistics 2020-04-22 Volker J. Schmid , Brandon Whitcher , Anwar R. Padhani , N. Jane Taylor , Guang-Zhong Yang

We propose a mathematical kinetic framework to investigate interactions between tumor cells and the immune system, focusing on the spatial dynamics of tumor progression and immune responses. We develop two kinetic models: one describes a…

Cell Behavior · Quantitative Biology 2026-02-24 Martina Conte , Romina Travaglini

Within the applications of spatial point processes, it is increasingly becoming common that events are labeled by marks, prompting an exploration beyond the spatial distribution of events by incorporating the marks in the undertaken…

Methodology · Statistics 2023-09-06 Matthias Eckardt , Mehdi Moradi

Theoretical and computational tools that can be used in the clinic to predict neoplastic progression and propose individualized optimal treatment strategies to control cancer growth is desired. To develop such a predictive model, one must…

Cell Behavior · Quantitative Biology 2015-05-20 Salvatore Torquato

A major challenge in diagnosing and treating cancer is the infiltrative growth of tumors into surrounding tissues. This microscopic spread of the disease is invisible on most diagnostic imaging modalities and can often only be detected…

Cluster randomized trials (CRTs) offer a practical alternative for addressing logistical challenges and ensuring feasibility in community health, education, and prevention studies, even though randomized controlled trials are considered the…

Methodology · Statistics 2025-10-30 Jooyeon Lee , M. S. , Evan Kwiatkowski , Ph. D

Percolation theory from statistical physics has been applied to several aspects of tumor progression. Tumor growth on percolation clusters has been used to model spatial expansion, vascular percolation to describe nutrient supply and…

Other Quantitative Biology · Quantitative Biology 2026-05-04 Arturo Tozzi

Recent technological advances have made it possible to simultaneously measure multiple protein activities at the single cell level. With such data collected under different stimulatory or inhibitory conditions, it is possible to infer the…

Applications · Statistics 2011-08-04 Ruiyan Luo , Hongyu Zhao

In this work we propose a Bayesian framework for data fusion of multivariate signals which arises in imaging systems. More specifically, we consider the case where we have observed two images of the same object through two different imaging…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Olivier Feron , Ali Mohammad-Djafari

Spatial interactions between cancer and immune cells, as well as the recognition of tumour antigens by cells of the immune system, play a key role in the immune response against solid tumours. The existing mathematical models generally…

Cell Behavior · Quantitative Biology 2019-08-05 Fiona R Macfarlane , Mark AJ Chaplain , Tommaso Lorenzi

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

Inspection of tissues using a light microscope is the primary method of diagnosing many diseases, notably cancer. Highly multiplexed tissue imaging builds on this foundation, enabling the collection of up to 60 channels of molecular…

Identifying disease-indicative genes is critical for deciphering disease mechanisms and has attracted significant interest in biomedical research. Spatial transcriptomics offers unprecedented insights for the detection of disease-specific…

Methodology · Statistics 2024-09-05 Qicheng Zhao , Qihuang Zhang

Predicting cancer-associated clinical events is challenging in oncology. In Multiple Myeloma (MM), a cancer of plasma cells, disease progression is determined by changes in biomarkers, such as serum concentration of the paraprotein secreted…

The use of mathematical models to make predictions about tumor growth and response to treatment has become increasingly more prevalent in the clinical setting. The level of complexity within these models ranges broadly, and the calibration…

Quantitative Methods · Quantitative Biology 2021-12-28 Allison L. Lewis , Kathleen M. Storey , Heyrim Cho , Anna C. Zittle

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

Advances in spatial transcriptomics (ST) technologies enable systematic molecular characterization of tumor microenvironment, tumor gradients and gene regulatory networks. Cancer progression is known to vary along pathological gradients,…

The location, timing, and abundance of gene expression (both mRNA and proteins) within a tissue define the molecular mechanisms of cell functions. Recent technology breakthroughs in spatial molecular profiling, including imaging-based…

Applications · Statistics 2020-12-10 Qiwei Li , Minzhe Zhang , Yang Xie , Guanghua Xiao