The field of molecular engineering in medicine has made significant strides in recent years, transforming healthcare, diagnostics, and therapy development. However, the COVID-19 pandemic highlighted the ongoing need for further innovative progress and detailed investigation. This research delves into the interdisciplinary domain of biomedical engineering with molecular engineering, examining its impact on the domains of regenerative medicine, biomaterials, tissue engineering, and the acceleration of health science through advanced biotechnologies. The primary objective of this research is to conduct an in-depth exploration of biomaterial applications and their roles in regenerative medicine, along with advancements in tissue engineering, organon-a-chip device mechanics, and the transformative potential of bioprinting in creating functional tissues and organs. This research also includes a case study analysis of drug discovery, immune engineering, precision medicine, and gene editing, with insights into the processing, design, and screening pipelines for biologics, as well as the future role of therapeutics and drugs in healthcare. Throughout this exploration, meaningful discussions with conclusions are drawn regarding the advanced technologies investigated, employing systematic technical computing methods at each step of the research process. The rapid advancements in terms of technological computing have brought about significant growth and transformation in various types of domains of biomedical engineering, particularly in the field of medical science and human health. With the progress in artificial intelligence (AI), computer vision, deep learning, image processing, machine learning there has been a revolutionary change in healthcare, addressing a wide range of medical conditions and human anatomy perspectives. The integration of these immersive technologies has not only improved in the realm of medication and disease control but has also provided solutions for complex tasks and issues related to human anatomy threats within the health sector. This research also focuses on the impact of accelerated computing in biomedical engineering, providing insights into the modern utility of toolsets in Bioinformatics and mechanics with artificial intelligence within medical science and also diving into understanding the human anatomy. Additionally, it explores the concept of functional genomics and its potential to provide insights into future disease and health issues, paving the way for advancements in healthcare for the foreseeable future and beyond.