Research in minimally-invasive surgery (MIS) develops means to diagnose and treat patients quickly, precisely and through minimal access ports, with the ultimate aim of making surgical procedures cheaper, less distressful and more eective than current state-of-the-art. Technological progress in engineering and life sciences empowers the MIS tool-kit, which already enables several revolutionary medical procedures, such as endoscopy, cardiac ablation, image-guided biopsies or angioplasty. When an MIS procedure requires access to a deep-seated region, various groups of exible surgical instruments are employed to operate inside the body through narrow incisions. Related challenges can be approached with robotic solutions, whereby real-time sensing and automation improve the in situ behaviour of exible instruments.This thesis studies a subgroup of exible instruments called catheters. Catheters are sleek tubes navigated through the natural cavities of human body to reach remote organs with minimum tissue damage. However, due to their high mechanical compliance, catheters are challenging to steer once inside the body. This limits their applicability to a narrow range of tasks, predominantly in endovascular surgery. Dexterity of a catheter can be increased by integrating into its structure coils or permanent magnets, which experience forces/torques in external magnetic eld. Such magnetic catheters are capable of exhibiting complex mechanical behaviour, while being structurally simpler than comparable devices. The following chapters demonstrate how, by using the principles of robotics, this behaviour can be harnessed to execute clinically-relevant tasks. Contributions are made in three general areas. The thesis proposes novel designs of magnetic catheters, explores the means to sense and model their behaviour and devises control strategies enabling their operation.Magnetic catheters bridge scales. They belong to mesoscale, as their functional part is situated at their tip, which has a diameter expressed in millimetres and the length of several centimetres. However, their total length can exceed a meter, and thus, from that perspective, they can be also considered macroscale. This multiscale geometry allows magnetic catheters to successfully operate inside the human body, while being actuated externally by macroscale auxiliary systems. Yet, the catheters ultimately target living tissue, which exhibits complex behaviour mediated at micro-and nano-scales. Thus, to explore the broad domain of magnetic catheters searching for clinically-relevant solutions, this thesis takes the reader on a journey through orders of magnitude. After a general introduction (Chapter 1), we present a series of studies, divided into three parts, with each part focusing on challenges relevant to a particular scale.