Abstract
Abstract: This research paper examines the applications of mathematics and physics in medicine. Mathematical equations governing the physics behind nuclear medicine are deconstructed; the equations include the radioactive decay equation, nuclide uptake formula, formula for the total electric field, quaternions and their role in the geometry of CT and x-ray scans, the use of complex numbers and quaternions in CAT scans, and the utilization of partial differential equations in image processing. On the other hand, physics supports medicines in different areas, including medical imaging through popular MRI and ultrasound techniques. It contributes to therapy through radiation, ultrasonic technologies, laser physics, and vibrational medicine. Nuclear medicine relies on radioactive tracers, while non-ionizing radiation technologies support laser surgery; ultrasound imaging, and UV light treatments are used for diagnosing and treating chronic illnesses. Radiation oncology medical physicists apply medical physics for the assessment and monitoring of the safety of staff and patients involved in radiation therapy, with electromagnetism offering support in neural engineering, signal analysis, quantum electronics, and in studying the nervous system
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