ArticlePloS one2010
Predicting outcomes of prostate cancer immunotherapy by personalized mathematical models.
Article in PloS one, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 42 papers, 1 of them a synthesis that pooled it.
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Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
42 citing papers in PubMed, 1 synthesis or guideline pooled it, 132 citations in OpenAlex.
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- Establishing the Quantitative Relationship Between Lanreotide Autogel®, Chromogranin A, and Progression-Free Survival in Patients with Nonfunctioning Gastroenteropancreatic Neuroendocrine Tumors.The AAPS journal · 2016Trial
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- Mathematical model of MMC chemotherapy for non-invasive bladder cancer treatment.Frontiers in oncology · 2024Article
- Mixed effects modeling of radiotherapy in combination with immune checkpoint blockade or inhibitors of the DNA damage response pathway.CPT: pharmacometrics & systems pharmacology · 2023Article
- On the use of historical estimates.Statistical papers (Berlin, Germany) · 2023Article
- Chemoimmunotherapy Administration Protocol Design for the Treatment of Leukemia through Mathematical Modeling and In Silico Experimentation.Pharmaceutics · 2022Article
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- From Fitting the Average to Fitting the Individual: A Cautionary Tale for Mathematical Modelers.Frontiers in oncology · 2022Article
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- Personalized Immunotherapy Treatment Strategies for a Dynamical System of Chronic Myelogenous Leukemia.Cancers · 2021Article
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- Less is more: reducing the number of administered chimeric antigen receptor T cells in a mouse model using a mathematically guided approach.Cancer immunology, immunotherapy : CII · 2020Article
- A QSP model of prostate cancer immunotherapy to identify effective combination therapies.Scientific reports · 2020Article
- Population modeling of tumor growth curves and the reduced Gompertz model improve prediction of the age of experimental tumors.PLoS computational biology · 2020Article
- Mathematical Prostate Cancer Evolution: Effect of Immunotherapy Based on Controlled Vaccination Strategy.Computational and mathematical methods in medicine · 2020Article
- Predicting response to pembrolizumab in metastatic melanoma by a new personalization algorithm.Journal of translational medicine · 2019Article
- A Review of Mathematical Models for Tumor Dynamics and Treatment Resistance Evolution of Solid Tumors.CPT: pharmacometrics & systems pharmacology · 2019Review
Corrections and comments
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Authors and funding
6 authors at 2 institutions in 2 countries.
Funding
Abstract
backgroundTherapeutic vaccination against disseminated prostate cancer (PCa) is partially effective in some PCa patients. We hypothesized that the efficacy of treatment will be enhanced by individualized vaccination regimens tailored by simple mathematical models. METHODOLOGY/PRINCIPAL
findingsWe developed a general mathematical model encompassing the basic interactions of a vaccine, immune system and PCa cells, and validated it by the results of a clinical trial testing an allogeneic PCa whole-cell vaccine. For model validation in the absence of any other pertinent marker, we used the clinically measured changes in prostate-specific antigen (PSA) levels as a correlate of tumor burden. Up to 26 PSA levels measured per patient were divided into each patient's training set and his validation set. The training set, used for model personalization, contained the patient's initial sequence of PSA levels; the validation set contained his subsequent PSA data points. Personalized models were simulated to predict changes in tumor burden and PSA levels and predictions were compared to the validation set. The model accurately predicted PSA levels over the entire measured period in 12 of the 15 vaccination-responsive patients (the coefficient of determination between the predicted and observed PSA values was R(2) = 0.972). The model could not account for the inconsistent changes in PSA levels in 3 of the 15 responsive patients at the end of treatment. Each validated personalized model was simulated under many hypothetical immunotherapy protocols to suggest alternative vaccination regimens. Personalized regimens predicted to enhance the effects of therapy differed among the patients. CONCLUSIONS/SIGNIFICANCE: Using a few initial measurements, we constructed robust patient-specific models of PCa immunotherapy, which were retrospectively validated by clinical trial results. Our results emphasize the potential value and feasibility of individualized model-suggested immunotherapy protocols.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.