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Clinical trials with time-to-event endpoints, such as overall survival (OS) or progression-free survival (PFS), are fundamental for evaluating new treatments, particularly in immuno-oncology. However, modern therapies, such as…

Methodology · Statistics 2025-09-10 James Salsbury , Jeremy Oakley , Steven Julious , Lisa Hampson

Immune checkpoint inhibitors (ICIs) have transformed cancer treatment, yet patient responses remain highly variable, and the biological mechanisms underlying resistance are poorly understood. While machine learning models hold promise for…

Machine Learning · Computer Science 2025-08-27 Ifrah Tariq , Ernest Fraenkel

We study a five-compartment mathematical model originally proposed by Kuznetsov et al. (1994) to investigate the effect of nonlinear interactions between tumour and immune cells in the tumour microenvironment, whereby immune cells may…

Tissues and Organs · Quantitative Biology 2019-09-12 Ana Osojnik , Eamonn A. Gaffney , Michael Davies , James W. T. Yates , Helen M. Byrne

In oncology, phase II or multiple expansion cohort trials are crucial for clinical development plans. This is because they aid in identifying potent agents with sufficient activity to continue development and confirm the proof of concept.…

Methodology · Statistics 2024-05-24 Takuya Yoshimoto , Satoru Shinoda , Kouji Yamamoto , Kouji Tahata

We propose an extension of a standard stochastic individual-based model in population dynamics which broadens the range of biological applications. Our primary motivation is modelling of immunotherapy of malignant tumours. In this context…

Populations and Evolution · Quantitative Biology 2016-04-18 Martina Baar , Loren Coquille , Hannah Mayer , Michael Hölzel , Meri Rogava , Thomas Tüting , Anton Bovier

Estimating counterfactual outcomes over time has the potential to unlock personalized healthcare by assisting decision-makers to answer ''what-iF'' questions. Existing causal inference approaches typically consider regular, discrete-time…

Machine Learning · Computer Science 2022-06-17 Nabeel Seedat , Fergus Imrie , Alexis Bellot , Zhaozhi Qian , Mihaela van der Schaar

Accurately predicting immunotherapy response in Non-Small Cell Lung Cancer (NSCLC) remains a critical unmet need. Existing radiomics and deep learning-based predictive models rely primarily on pre-treatment imaging to predict categorical…

Image and Video Processing · Electrical Eng. & Systems 2025-05-30 Moinak Bhattacharya , Judy Huang , Amna F. Sher , Gagandeep Singh , Chao Chen , Prateek Prasanna

A mathematical model for the quantitative analysis of cancer immune interaction, considering the role of antibodies has been proposed in this paper. The model is based on the clinical evidence, which states that antibodies can directly kill…

Quantitative Methods · Quantitative Biology 2016-10-19 Shiferaw Feyissa , Sandip Banerjee

Gastric and oesophageal (OG) cancers are the leading causes of cancer mortality worldwide. In OG cancers, recent studies have showed that PDL1 immune checkpoint inhibitors (ICI) in combination with chemotherapy improves patient survival.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-01 Quoc Dang Vu , Caroline Fong , Anderley Gordon , Tom Lund , Tatiany L Silveira , Daniel Rodrigues , Katharina von Loga , Shan E Ahmed Raza , David Cunningham , Nasir Rajpoot

This paper investigates dynamic behaviors of the tumor-immune system perturbed by environmental noise. The model describes the response of the cytotoxic T lymphocyte (CTL) to the growth of an immunogenic tumour. The main methods are…

Probability · Mathematics 2019-02-06 Xiaoyue Li , Guoting Song , Yang Xia , Chenggui Yuan

Duration of response (DOR) and time to response (TTR) are typically evaluated as secondary endpoints in early-stage clinical studies in oncology when efficacy is assessed by the best overall response (BOR) and presented as the overall…

Periodic hematological diseases such as cyclical neutropenia or cyclical thrombocytopenia, with their characteristic oscillations of circulating neutrophils or platelets, may pose grave problems for patients. Likewise, periodically…

Dynamical Systems · Mathematics 2019-04-17 Daniel C. De Souza , Michael C. Mackey

A dynamic model of non-lineal time-dependent ordinary differential equations (ODE) has been applied to the interactions of a HIV infection with the immune system cells. This model has been simplified into two compartments: lymph node and…

Cell Behavior · Quantitative Biology 2020-08-07 Miguel Ramos Pascual

Precision medicine promises to transform health care by offering individualised treatments that dramatically improve clinical outcomes. A necessary prerequisite is to identify subgroups of patients who respond differently to different…

Machine Learning · Computer Science 2026-03-03 Adam Marcus , Paul Agapow

Clinicians need to predict patient outcomes with high accuracy as early as possible after disease inception. In this manuscript, we show that patient-to-patient variability sets a fundamental limit on outcome prediction accuracy for a…

Quantitative Methods · Quantitative Biology 2016-02-17 Manuel Mai , Kun Wang , Greg Huber , Michael Kirby , Mark D. Shattuck , Corey S. O'Hern

We present a mathematical analysis of a mixed ODE-PDE model describing the spatial distribution and temporal evolution of tumor and normal cells within a tissue subject to the effects of a chemotherapeutic drug. The model assumes that the…

Analysis of PDEs · Mathematics 2019-02-06 Anderson L. A. de Araujo , Artur C. Fassoni , Luís F. Salvino

Personalized cancer treatments based on the molecular profile of a patient's tumor are an emerging and exciting class of treatments in oncology. As genomic tumor profiling is becoming more common, targeted treatments to specific molecular…

Colorectal cancer (CRC) is the third most commonly diagnosed cancer worldwide and the leading cause of cancer-related deaths in adults under 55, involving a complex interplay of biological processes such as dendritic cell (DC) maturation…

Quantitative Methods · Quantitative Biology 2026-05-19 Georgio Hawi , Peter S. Kim , Peter P. Lee

Effective learning from electronic health records (EHR) data for prediction of clinical outcomes is often challenging because of features recorded at irregular timesteps and loss to follow-up as well as competing events such as death or…

Machine Learning · Computer Science 2022-08-11 Intae Moon , Stefan Groha , Alexander Gusev

Cancer is a term used to refer to a large set of diseases. The cancerous cells grow and divide and, as a result, they form tumours that grow in size. The immune system recognise the cancerous cells and attack them, though, it can be…