Currently, a popular topic in the ever growing world of information technology is the protection of users personal data from unauthorised and illicit storage, disclosure or usage in any type of system. This is a big issue in this current technologically advanced world where huge data collection and processing is the norm. The European Union parliament recently approved the new data protection rules that will come into effect in 2018 for all member states, and also Norway as a member of European Economic Area (EEA). The objective is to hand over control of personal data to those it belongs to, and create a high, uniform level of data protection across the EU targeted at implementing a digital single market strategy. Among the requirements made more important by this new regulation is the use of Privacy by Design in the design and development of systems. This project takes a look at this new way of engineering data privacy from the start in a system development life cycle, instead of adding privacy features at the tail end of development, and how it will affect development of technological systems henceforth. As a case study, we focus on some Remote healthcare Systems and Mobile Health Applications, where we investigate current privacy enhancing mechanisms being used in them, and how Privacy by Design will affect how we work in developing such systems. This master thesis contributes to the advancement of Privacy by Design from a conceptual framework to an engineering technique.