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Longitudinal time\u2010varying covariates play a crucial role in obtaining accurate clinically relevant predictions using a survival regression model. However, these covariates are often measured at limited time points and may be subject to measurement error. Further methodological challenges arise from the fact that, in many clinical studies, the event times of interest are interval\u2010censored. A model that simultaneously accounts for all these factors is expected to improve the accuracy of survival model estimations and predictions. In this paper, we consider joint models that combine longitudinal time\u2010varying covariates with the Cox model for time\u2010to\u2010event data which is subject to interval censoring. The proposed model employs a novel penalized likelihood approach for estimating all parameters, including the random effects. The covariance matrix of the estimated parameters can be obtained from the penalized log\u2010likelihood. The performance of the model is compared to an existing method under various scenarios. The simulation results demonstrated that our new method can provide reliable inferences when dealing with interval\u2010censored data. Data from the Anti\u2010PD1 brain collaboration clinical trial in advanced melanoma are used to illustrate the application of the new\u00a0method.<\/jats:p>","DOI":"10.1002\/bimj.70172","type":"journal-article","created":{"date-parts":[[2026,9,12]],"date-time":"2026-09-12T06:28:42Z","timestamp":1789194522000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On a Penalized Likelihood Approach for Joint Modeling of Longitudinal Covariates and Partly Interval\u2010Censored Data\u2014An Application to the Anti\u2010PD1 Brain Collaboration Trial"],"prefix":"10.1002","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8435-4436","authenticated-orcid":false,"given":"Annabel","family":"Webb","sequence":"first","affiliation":[{"name":"School of Mathematical and Physical Sciences Macquarie University Sydney Australia"},{"name":"Cerebral Palsy Alliance Research Institute, Faculty of Medicine and Health The 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