Ventilation/Perfusion PET/CT With Galligas and 68Ga-MAA for Regional Lung Function Assessment After Pulmonary Embolism

Inclusion Criteria: * Patient included in the RAMBO study, whose inclusion criteria are: Age ≥ 18 years; Patient treated with at least 3 months and up to 8 months of anticoagulation for an acute symptomatic PE diagnosed according the ESC and ACCP guidelines; Patients who have a PembQol score ≥ 10% and whose total scores for the subgroups Q1 (dyspnea) and Q4 (impact of daily life) are ≥ 10%. * Patients planned to be randomized * Abnormal conventional V/Q scan at V1 * Give consent to participate to the EOLE study Exclusion Criteria: * Non inclusion criteria of the RAMBO trial: * Previsible inability to perform the effort test and/or PR * Presence of CTEPH according to international guidelines * Patients treated for acute PE with anticoagulants for more than 8 months * Active cancer or in remission for less than two years * Dyspnea post - COVID due to parenchymal injuries * Post-COVID hyperventilation syndrome without pulmonary vascular perfusion sequelae * Physical or psychological inability to undertake PR * Isolated or more distal segmental PE * Neuro-muscular disease with PR contraindication. * Cardiac insufficiency (unstable coronary artery disease) * Severe respiratory failure (long-term oxygen therapy, pulmonary hypertension) * Chronic dyspnea MMRC ≥ 2 before PE * Cardiac or respiratory rehabilitation in the previous year * Indication to urgent PR within 6 months at the time of inclusion * Life expectancy of less than 12 months * Inability to give consent * Patient under guardianship or curatorship * Patient deprived of liberty by an administrative or judicial decision * Patient has not social security affiliation or who don't beneficiary of such social security After initial PR work up, patients with following criteria cannot be included: * Incapacity to perform the effort test * Effort test stopped because of hemodynamic intolerance * Cardiac failure discovered after PR work up