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Necrotic Tumor Growth: An Analytic Approach

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Abstract

The present paper deals with a free boundary problem modeling the growth process of necrotic multi-layer tumors. We prove the existence of flat stationary solutions and determine the linearization of our model at such an equilibrium. Finally, we compute the solutions of the stationary linearized problem and comment on bifurcation.

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Acknowledgments

The author thanks the anonymous referee for asking about the bifurcation problem associated with the model of the paper at hand which led to an additional chapter compared to the initially submitted version.

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Correspondence to Martin Kohlmann.

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Kohlmann, M. Necrotic Tumor Growth: An Analytic Approach. Acta Biotheor 60, 273–287 (2012). https://doi.org/10.1007/s10441-012-9159-z

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  • DOI: https://doi.org/10.1007/s10441-012-9159-z

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