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This work examines the method of magnetic fluid hyperthermia for breast cancer therapy. We develop a coupled-field model of ferrofluid transport and heating in tumor tissue. The finite element method (FEM) underpins our forward 3D electromagnetic-fluid dynamics-thermal model. The model uses anatomically precise multilevel geometry of the human breast, with known electrical properties of the tissues, and known speeds of blood and liquor in the breast vessels. We demonstrate the capabilities of the developed model on a real cancer sample acquired by a surgical procedure. The electrical properties of cancer and normal tissues are directly measured for the given sample. The thermal field results are verified by infrared thermograph imaging.