Introduction: Rhizarthrosis is a chronic degenerative hand disease of the trapeziometacarpal joint (TMC), affecting the first finger, causing disability and dependence. Characterised by wear and tear of the articular cartilage that allows gliding between the two bones and cushioning of the joint, degenerative osteoarthritis causes limited mobility and pain with consequent consumption of resources. Radial shock waves have shown evidence in calcific tendinitis, plantar fascitis and subacromial tendinitis due to the biological effect they produce with consequent extracellular cavitations, diffusion of free radicals, intercellular reactions, and molecular changes, which result in biological changes in the tissue. Aim: To evaluate the effects of the application of oral shock waves (OCE) compared to intrarticular infiltration of platelet-rich plasma (PRP) in patients with moderate severe rhizarthrosis. Method: This is a prospective, randomised study which will include patients attending rehabilitation clinics referred from primary care in the northern area of Gran Canaria, of both sexes over 40 years of age, with rhizarthrosis above grade II on the KellgrenLawrence scale and on the Eaton scale. Patients will be randomly divided into two groups: one group will be treated with OCE (radial pressure waves) at an intensity of 1 mmJ/mm2, in the TMC joint, in a total of 4 sessions spread over 4 weeks, one per week and the other group with infiltrations in the TMC joint under ultrasound control, in a number of three, of 1ml of PRP (platelet-rich plasma) each syringe, one infiltration per week for 3 weeks. They must also not suffer from infection at the site to be applied, nor systemic infection at the time of application, and must not have previously received any type of treatment on the hand. They will be assessed at baseline with a VAS (visual analogue pain scale), a Q-DASH questionnaire, at 6 months and at 10 months

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