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Fig. 1 | BMC Cancer

Fig. 1

From: The impact of local control on overall survival after stereotactic body radiotherapy for liver and lung metastases from colorectal cancer: a combined analysis of 388 patients with 500 metastases

Fig. 1

Conception of the illness-death modeling framework applied to the study of local failure and death in metastatic rectal cancer patients treated with SBRT. Starting from the state “SBRT treatment”, patients can either transition into the state “Local failure” (the non-terminal event occuring at time T1) or “Death” (the terminal event occurring at time T2). A third transition from “Local failure” to “Death” is also possible, but not vice versa. The rates at which patients transition from one state to the other are specified by three corresponding hazard functions that we model using Eqs. (1–3). h1(t1) is the hazard rate for local failure from SBRT at a given point in time t1, given that neither local failure or death have occurred before t1. h2(t2) is the hazard rate for death after SBRT at a given point in time t2, given that neither local failure nor death have occurred before t2. Finally, h3(t2t1) is the hazard rate of death at a given time point t2 given that local failure has been observed at T1 = t1 and that death has not occurred before t2

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