Publications/Preprints

A model for membrane degradation using a gelatin invadopodia assay

One of the most crucial and lethal characteristics of solid tumors is represented by the increased ability of cancer cells to migrate …
Ciavolella G, Ferrand N, Sabbah M, Perthame B, Natalini R
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Effective interface conditions for a porous medium type problem

Motivated by biological applications on tumour invasion through thin membranes, we study a porous-medium type equation where the …
Ciavolella G, David N, Poulain A
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Deciphering circulating tumor cells binding in a microfluidic system thanks to a parameterized mathematical model

Metastatic spread is a crucial process in which some questions remain unanswered. In this work, we focus on tumor cells circulating in …
Ciavolella G, Granet J, Goetz J G, Osmani N, Etchegaray C, Collin A
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Effect of a membrane on diffusion-driven Turing instability

Biological, physical, medical, and numerical applications involving membrane problems on different scales are numerous. We propose an …
Ciavolella G
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Existence of a global weak solution for a reaction-diffusion problem with membrane conditions

Several problems, issued from physics, biology or the medical science, lead to parabolic equations set in two sub-domains separated by …
Ciavolella G, Perthame B
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