Additional file 2: Figure S1. [Kaplan-Meier curves of overall survival for the preoperative groups of CEA (a), CA19-9 (b), and CA125 (c) in colorectal cancer patients]. Figure S2. [Kaplan-Meier curves of overall survival for the first postoperative groups of CEA (a), CA1 -9 (b), and CA125 (c) in colorectal cancer patients]. Figure S3. [Longitudinal trajectories of CEA (a), CA19-9 (b) and CA125 (c) of survived and died patients]. Figure S4. [The eigenfunctions of FPCA for CEA (a), CA19-9 (b), and CA125 (c)]. Figure S5. [The first five eigenfunctions for CEA (a), CA19-9 (b), and CA125 (c) based on MFPCA of the three markers]. Figure S6. [Variable importance of preoperative CEA&CA19-9&CA125 model (a) and longitudinal CEA&CA19-9&CA125 model (b)]. Figure S7. [ROC curves of the preoperative, postoperative and longitudinal CEA&CA19-9&CA125 models at 60 months after surgery for internal validation (a) and external validation (b)]. Figure S8. [Personalized dynamic prediction for the survival probability of patient A (a), patient B (b) and patient C (c) based on longitudinal CEA&CA19-9&CA125 model]. Figure S9. [AUC (a) and BS (b) of the prediction models with MSI status at 24 to 60 months after surgery for external validation].