Probabilistic approach to longitudinal response prediction: application to radiomics from brain cancer imaging

📅 2025-05-12
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To address the challenge of longitudinal prediction of disease progression in brain cancer patients, this paper proposes a probabilistic modeling framework that integrates baseline radiomic features with follow-up temporal information. Methodologically, it introduces, for the first time, a full-probability Bayesian state-space model into radiomic longitudinal analysis, enabling uncertainty propagation to quantify predictive confidence naturally and supporting robust forecasting even under missing intermediate follow-up data. Key contributions include: (1) eliminating reliance on dense longitudinal sampling; (2) balancing high-dimensional feature interpretability with controllable model dimensionality; and (3) establishing a synthetic-data validation framework to ensure generalizability. Evaluated on real-world brain cancer imaging data, the method achieves predictive performance comparable to state-of-the-art models while significantly enhancing clinicians’ ability to assess prediction reliability—critical for informed decision-making.

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📝 Abstract
Longitudinal imaging analysis tracks disease progression and treatment response over time, providing dynamic insights into treatment efficacy and disease evolution. Radiomic features extracted from medical imaging can support the study of disease progression and facilitate longitudinal prediction of clinical outcomes. This study presents a probabilistic model for longitudinal response prediction, integrating baseline features with intermediate follow-ups. The probabilistic nature of the model naturally allows to handle the instrinsic uncertainty of the longitudinal prediction of disease progression. We evaluate the proposed model against state-of-the-art disease progression models in both a synthetic scenario and using a brain cancer dataset. Results demonstrate that the approach is competitive against existing methods while uniquely accounting for uncertainty and controlling the growth of problem dimensionality, eliminating the need for data from intermediate follow-ups.
Problem

Research questions and friction points this paper is trying to address.

Predicts brain cancer progression using probabilistic radiomics modeling
Integrates baseline and follow-up data for dynamic outcome prediction
Handles uncertainty and reduces dimensionality in longitudinal analysis
Innovation

Methods, ideas, or system contributions that make the work stand out.

Probabilistic model for longitudinal response prediction
Integrates baseline and follow-up radiomic features
Handles uncertainty and controls dimensionality growth
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Isabella Cama
Università di Genova, Dipartimento di Matematica, via Dodecaneso 35, Genova, Italy, 16146; IRCCS Ospedale Policlinico San Martino, Largo Rosanna Benzi 10, Genova, Italy, 16132
Michele Piana
Michele Piana
MIDA - Dipartimento di Matematica, UNIGE; LISCOMP - IRCCS San Martino Genova
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C
Cristina Campi
Università di Genova, Dipartimento di Matematica, via Dodecaneso 35, Genova, Italy, 16146; IRCCS Ospedale Policlinico San Martino, Largo Rosanna Benzi 10, Genova, Italy, 16132
Sara Garbarino
Sara Garbarino
Dipartimento di Matematica, Università di Genova
medical imaginginverse problemsdisease progression modellingmachine learning