A mathematical and radiological correlation between the malignant tumour inside the cancer patient’s body and the outer body surface

This is an assumption based study intends to open up mathematically the routine procedure of simulation in radiotherapy. CT Simulator uses X-rays to provide precise radiological localization of the malignant tumour inside the patient’s body. Taking into consideration the Euclidean space and Euclidean geometry as the heart of this study, two assumptions are laid down. These ease the use of Cartesian coordinate system. In radiotherapy, lead markers are used during the simulation, serves as reference points for localization of the tumour on the body surface. The most vital aspect of radiotherapy which is to match up the malignant tumour in the patient’s body with the surface of the body is accomplished by an algebraic and analytical geometric correlation.

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