Higher education institutions face a number of opportunities and challenges as the result of the digital revolution. The institutions perform a number of scholarship functions which can be affected by new technologies, and the desire is to retain these functions where appropriate, whilst the form they take may change. Much of the reaction to technological change comes from those with a vested interest in either wholesale change or maintaining the status quo. Taking the resilience metaphor from ecology, the authors propose a framework for analysing an institution's ability to adapt to digital challenges. This framework is examined at two institutions (the UK Open University and Canada's Athabasca University) using two current digital challenges, namely Massive Open Online Courses (MOOCs) and Open Access publishing.