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Updated: May 20, 2026

Modeling Primary Bone Tumors and Bone Metastasis with Solid Tumor Graft Implantation into Bone
Published on: September 9, 2020
Modeling the connection between primary and metastatic tumors
David Diego1, Gabriel F Calvo, Víctor M Pérez-García
1Departamento de Matemáticas, E.T.S.I. Industriales and Instituto de Matemática Aplicada a la Ciencia y la Ingeniería, Universidad de Castilla-La Mancha, 13071, Ciudad Real, Spain. susydiegolas@gmail.com
Abstract:
We put forward a model for cancer metastasis as a migration phenomenon between tumor cell populations coexisting and evolving in two different habitats. One of them is a primary tumor and the other one is a secondary or metastatic tumor. The evolution of the different cell phenotype populations in each habitat is described by means of a simple quasispecies model allowing for a cascade of mutations between the different phenotypes in each habitat. The cell migration event is supposed to be unidirectional and take place continuously in time. The possible clinical outcomes of the model depending on the parameter space are analyzed and the effect of the resection of the primary tumor is studied.
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