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In the process of creating a survival dataset the time to death after first admission needs to be calculated. For patients who are still alive how can the duration-alive from first admission be calculated. In other words from what date should date of first admit be subtracted.

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I will reinterpret your question as "For patients who are still alive, what censor time is appropriate?". The minimum amount of time a patient must survive in order to not have a date of death in the MIMIC-III v1.3 database is 150 days. Most patients are alive for longer: but this is the minimum.

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