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Deformable registration has an important application in radiation therapy and evaluation of patient response to the treatment. However, the conventional deformable registration may introduce excessive deformation on tumor shape and volume, which thereby may lead to less accurate dose delivery on the targeted tumor and possible lesion on the surrounding healthy organs. In this paper, we proposed a deformable registration model to preserve accurate tumor information while retaining the global alignment of the temporal or multimodal biomedical images. Our experimental results on 12 clinical datasets with 15 tumors demonstrated that our deformable model was able to maintain the unique pathological features of the tumor and provide appropriate alignment and correspondence.