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Development of resistance limits transferability of most anticancer therapies into curative treatment and understanding mechanisms beyond it remains a big challenge. Many high resolution experimental observations show enormous intratumor…

Populations and Evolution · Quantitative Biology 2013-07-03 B. Brutovsky , D. Horvath

Regression analyses based on transformations of cumulative incidence functions are often adopted when modeling and testing for treatment effects in clinical trial settings involving competing and semi-competing risks. Common frameworks…

Methodology · Statistics 2024-01-11 Alexandra Bühler , Richard J Cook , Jerald F Lawless

Adoptive Cell Transfer therapy of cancer is currently in full development and mathematical modeling is playing a critical role in this area. We study a stochastic model developed by Baar et al. in 2015 for modeling immunotherapy against…

Populations and Evolution · Quantitative Biology 2020-03-09 Modibo Diabate , Loren Coquille , Adeline Samson

Modern cancer -omics and pharmacological data hold great promise in precision cancer medicine for developing individualized patient treatments. However, high heterogeneity and noise in such data pose challenges for predicting the response…

Quantitative Methods · Quantitative Biology 2020-11-18 Xiao Li , Tiffany M. Tang , Xuewei Wang , Jean-Pierre A. Kocher , Bin Yu

Predictive or treatment selection biomarkers are usually evaluated in a subgroup or regression analysis with focus on the treatment-by-marker interaction. Under a potential outcome framework (Huang, Gilbert and Janes [Biometrics 68 (2012)…

Applications · Statistics 2015-02-04 Zhiwei Zhang , Lei Nie , Guoxing Soon , Aiyi Liu

Rapid technological advances have allowed for molecular profiling across multiple omics domains from a single sample for clinical decision making in many diseases, especially cancer. As tumor development and progression are dynamic…

Methodology · Statistics 2022-02-11 Dongyan Yan , Subharup Guha

Many diseases, including cancer and chronic conditions, require extended treatment periods and long-term strategies. Machine learning and AI research focusing on electronic health records (EHRs) have emerged to address this need. Effective…

Brain tumor detection can make the difference between life and death. Recently, deep learning-based brain tumor detection techniques have gained attention due to their higher performance. However, obtaining the expected performance of such…

Image and Video Processing · Electrical Eng. & Systems 2022-02-22 Wessam M. Salama , Ahmed Shokry

Glioblastoma exhibits diverse, infiltrative, and patient-specific growth patterns that are only partially visible on routine MRI, making it difficult to reliably assess true tumor extent and personalize treatment planning and follow-up. We…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Valentin Biller , Niklas Bubeck , Lucas Zimmer , Ayhan Can Erdur , Sandeep Nagar , Anke Meyer-Baese , Daniel Rückert , Benedikt Wiestler , Jonas Weidner

We propose a modelling framework to analyse the stochastic behaviour of heterogeneous, multi-scale cellular populations. We illustrate our methodology with a particular example in which we study a population with an oxygen-regulated…

Biological Physics · Physics 2017-09-01 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón

Predicting the response of cancer cells to drugs is an important problem in pharmacogenomics. Recent efforts in generation of large scale datasets profiling gene expression and drug sensitivity in cell lines have provided a unique…

Quantitative Methods · Quantitative Biology 2018-11-01 Cheng Qian , Nicholas D. Sidiropoulos , Magda Amiridi , Amin Emad

Radiation response in cancer is shaped by complex, patient specific biology, yet current treatment strategies often rely on uniform dose prescriptions without accounting for tumor heterogeneity. In this study, we introduce a meta learning…

Medical Physics · Physics 2025-08-12 Hao Peng , Yuanyuan Zhang , Steve Jiang , Robert Timmerman , John Minna

We consider a system of two coupled integro-differential equations modelling populations of healthy and cancer cells under therapy. Both populations are structured by a phenotypic variable, representing their level of resistance to the…

Optimization and Control · Mathematics 2016-12-15 Camille Pouchol , Jean Clairambault , Alexander Lorz , Emmanuel Trélat

We present an applied study in cancer genomics for integrating data and inferences from laboratory experiments on cancer cell lines with observational data obtained from human breast cancer studies. The biological focus is on improving…

Applications · Statistics 2010-10-07 Daniel Merl , Julia Ling-Yu Chen , Jen-Tsan Chi , Mike West

Estimating the counterfactual outcome of treatment is essential for decision-making in public health and clinical science, among others. Often, treatments are administered in a sequential, time-varying manner, leading to an exponentially…

Machine Learning · Statistics 2024-07-16 Shenghao Wu , Wenbin Zhou , Minshuo Chen , Shixiang Zhu

Establishing causality is a fundamental goal in fields like medicine and social sciences. While randomized controlled trials are the gold standard for causal inference, they are not always feasible or ethical. Observational studies can…

Statistics Theory · Mathematics 2024-12-03 Andrew Ying

Cell heterogeneity plays an important role in patient responses to drug treatments. In many cancers, it is associated with poor treatment outcomes. Many modern drug combination therapies aim to exploit cell heterogeneity, but determining…

Quantitative Methods · Quantitative Biology 2025-02-18 Simon F. Martina-Perez , Samuel W. S. Johnson , Rebecca M. Crossley , Jennifer C. Kasemeier , Paul M. Kulesa , Ruth E. Baker

This paper proposes a general framework for probabilistic certification of cancer therapies. The certification is defined in terms of two key issues which are the tumor contraction and the lower admissible bound on the circulating…

Systems and Control · Computer Science 2015-02-24 Mazen Alamir

Identifying the mutations that drive cancer growth is key in clinical decision making and precision oncology. As driver mutations confer selective advantage and thus have an increased likelihood of occurrence, frequency-based statistical…

Genomics · Quantitative Biology 2021-05-04 Adnan Akbar , Andrey Solovyev , John W Cassidy , Nirmesh Patel , Harry W Clifford

The availability of cancer measurements over time enables the personalised assessment of tumour growth and therapeutic response dynamics. However, many tumours are treated after diagnosis without collecting longitudinal data, and cancer…

Analysis of PDEs · Mathematics 2024-04-19 Elena Beretta , Cecilia Cavaterra , Matteo Fornoni , Guillermo Lorenzo , Elisabetta Rocca