Detailed description of the equations that form the mathematical model.

It contains the following Figures and Tables. Fig A Computational domain with axial symmetry. The domain includes the tumor region and the host tissue. The needle reaches the center of a spherical tumor. Fig B Computational domain with spherical symmetry. The domain includes the tumor region and the host tissue. The tumor grows as a sphere and deforms the host tissue. Table A: Mathematical model characteristics compared to other models. Table B: Table of model variables. Table C: Table of model parameters.

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