Related Experiment Video
Updated: Jan 7, 2026

Author Spotlight: Automated Lifespan Monitoring – Discovering Aging Dynamics with the Lifespan Machine
Published on: January 26, 2024
Accounting for the Scarcity of Time as Patients Approach End of Life: The Construction of End-Weighted Time Toxicity
Juliet Jacobsen1, Sanjoy Mahajan2, Joakim Ekstrand3
1Department of Clinical Sciences Lund, Medical Oncology, Lund University, Lund, Sweden; Harvard Medical School and Massachusetts General Hospital, Boston, MA, USA.
Objectives:
People with serious illness approaching end of life often end up in emergency and hospital care, frequently against expressed preferences. Consequently, oncology trials record care days as a measure of treatment burden called "time toxicity." However, this measure ignores the diminishing marginal utility of time: that the value of a day is higher when fewer remain. We aimed to incorporate this relationship into time toxicity.
Methods:
We derived a preference-independent time-toxicity metric sensitive to time remaining, end-weighted time toxicity. It has units of toxiles and is based on the fraction of the patient's remaining time taken up by a care visit. We trialed this metric in a cohort of Swedish cancer patients referred to palliative care.
Results:
There were 192 patients in the cohort; 146 (76%) eventually enrolled in palliative care. In the cohort, mean (SD, skewness) and median (IQR) end-weighted time toxicities were 0.63 (0.89, 1.77) and 0.23 (0.03-0.81) toxiles. End-weighted time toxicity was significantly less for the group eventually enrolled in palliative care (0.52 [0.75] and 0.22 [0.04-0.63] toxiles) than for the never enrolled group (0.97 [1.18] and 0.27 [0.27-1.76] toxiles) (P = .024). A time-series analysis showed that total toxicity in never- or not-yet-enrolled patients was 120.2 toxiles, whereas total toxicity in already-enrolled patients was 1.0 toxiles.
Conclusions:
A healthcare metric that incorporates diminishing marginal utility of time can highlight the effect of palliative care and could improve resource allocation and patient satisfaction with care near end of life. Further research should explore stakeholder perspectives and practical applications.
Related Concept Videos
Methods of Documentation II: POMR
Chronopharmacokinetics: Time-Dependent Pharmacokinetics
Time-dependent pharmacokinetics refers to non-cyclical changes in drug rate processes over a period of time. It can lead to nonlinear pharmacokinetics, where the relationship between drug concentration and time is not proportional. Non-cyclical...
Ethical Dilemmas II
Truncation in Survival Analysis
Left truncation occurs when individuals who experienced the event of interest before a certain time are not included in the study. This is often due to a "delayed entry" into the study where only those who survive until a certain entry point are...
Ethical Issues
Ethical Concerns in Healthcare:
Drug Dosing: Geriatric Patients

