Geodesic
A free boundary problem arising in a simplified tumour growth model of contact inhibition
Michiel Bertsch1 ; Roberta Dal Passo2 ; Masayasu Mimura3
1Consiglio Nazionale delle Ricerche, Roma, Italy
2Università di Roma, Italy
3Meiji University, Kawasaki, Japan
Interfaces and free boundaries, Tome 12 (2010) no. 2, pp. 235-250

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DOI

It is observed in vitro and in vivo that when two populations of different types of cells come near to each other, the rate of proliferation of most cells decreases. This phenomenon is often called contact inhibition of growth between two cells. In this paper, we consider a simplified 1-dimensional PDE model for normal and abnormal cells, motivated by the paper by Chaplain, Graziano and Preziosi ([5]). We show that if the two populations are initially segregated, then they remain segregated due to the contact inhibition mechanism. In this case the system of PDE’s can be formulated as a free boundary problem.
DOI : 10.4171/ifb/233
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Michiel Bertsch  1   ; Roberta Dal Passo  2   ; Masayasu Mimura  3

1 Consiglio Nazionale delle Ricerche, Roma, Italy
2 Università di Roma, Italy
3 Meiji University, Kawasaki, Japan 
Michiel Bertsch; Roberta Dal Passo; Masayasu Mimura. A free boundary problem arising in a simplified tumour growth model of contact inhibition. Interfaces and free boundaries, Tome 12 (2010) no. 2, pp. 235-250. doi: 10.4171/ifb/233
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