# Predictions of tumor morphological stability and evaluation against experimental observations

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The hallmark of malignant tumors is their invasion of local tissue and infiltration

of distant organs (metastasis). A defining characteristic of aggressive tumors

is an unstable morphology, including invasive fingers and protrusions. Shape

instabilities (growing protrusions) are associated with local invasiveness, also

often a precursor to tumor metastasis. We study tumor morphological stability

by employing three mathematical models to gain insight into tumor invasion

and metastasis. Using linear theory, we study the tumor morphological stability

described by each model and evaluate the consistency between theoretical

model predictions and experimental data from in vitro 3D multicellular tumor

spheroids. We will discuss the results and show that it is feasible to extract parameter

values from a limited set of data and create a self-consistent modeling

framework that can be extended to the multiscale study of cancer. Numerical

methods are used to simulate the nonlinear effects of stress on solid tumor

growth and invasiveness.