Ayurveda is the only medical science that accepts death as natural event and never strive to avoid it. Such events are called असाध्य (incurable).
Modern medical science?
Pseudo charlatan tricks as if it has magic wand to save you 
जन्म,मृत्यु,जरा,व्याधि are natural and unavoidable. मृत्यु – you can (not all can though) delay by slowing down जरा but it is important to die (Why? Separate discussion). Even Bhagwan dies here. Ayurveda resolves व्याधि and at the most can slows down जरा (Not all can though. why? selarate discussion).
In my limited understanding, genuine Ayurvedacharya knows both Jyotish and Ayurveda very well. And due to this, he will never ever claim all conditions as साध्य. There is category of असाध्य conditions too.
जन्म,मृत्यु,जरा,व्याधि are natural and unavoidable. मृत्यु – you can (not all can though) delay by slowing down जरा but it is important to die Even Avtar dies here. Ayurveda resolves व्याधि and at the most can slows down जरा. And chief purpose of Ayurveda is not to save life but help you live peacefully with billion+ cells and 3-4 times more bacteria and viruses in physical body, revere them and pray them to help us in performing our dharma with minimum possible hassles during this life span so that there are less hurdles in self-realization, which I believe is a purpose of human birth.
