THE ROLE OF MATHEMATICS IN THE DEVELOPMENT OF BIOMEDICAL ROBOTICS AND DEVICES FOR HEALTHCARE

Robotics is an interdisciplinary field that integrates principles from mechanical engineering, mathematics, electrical engineering, and computer science to design, construct, and operate robots. In the biomedical and healthcare fields, biomedical robots and devices have become instrumental in tasks such as surgery, rehabilitation, and diagnostics. Robotic technologies in rehabilitation assist patients in regaining movement and function following injuries or illnesses, with applications ranging from wearable devices to surgical robots. These advancements aim to enhance the precision and efficiency of healthcare services. Recent years have witnessed rapid growth in biomedical robotics, highlighting its potential to revolutionize healthcare. Mathematics plays a pivotal role in this development by providing the foundation for modeling and simulating complex biological systems, developing control algorithms, and optimizing device performance. Accurate mathematical models of systems like the musculoskeletal structure are essential for improving robotic efficiency and patient outcomes. Despite existing research on mathematical techniques in biomedical robotics, further exploration is needed to determine the most effective algorithms for various applications. This chapter examines the opportunities and challenges in applying mathematics to biomedical robots, emphasizing topics such as modeling, simulation, control, and optimization. It also explores the transformative potential of these technologies to enhance patient outcomes and reduce healthcare costs, ultimately underscoring the vital role of mathematics in shaping the future of biomedical robotics.