Hypothesis of coherent vibration states in biological systems based on nonlinear interaction between longitudinal elastic and electric polarization fields with metabolic energy supply was formulated by Frohlich. Conditions for excitation of coherent states and generation of electromagnetic fields are satisfied in microtubules which form electrical polar structures. Numerical models are used for analysis of Frohlich's vibration states in cells. Reduction of activity and of energy production in mitochondria, and disintegration of cytoskeleton structures by phosphorylation on the pathway of cancer trasformation can diminish excitation of the Frohlich's vibration states and of the generated electromagnetic field, which results in disturbances of the interaction forces between cells. Interaction forces between cancer cells may be smaller than interaction forces between healthy cells and cancer cells as follows from numerical models. Mechanism of malignity, i.e. local invasion, detachment of cancer cells, and metastasis, is assumed to depend on the electromagnetic field.