Malaysian Journal of Mathematical Sciences, May 2019, Vol. 13, No. 2
Two-Dimensional Signal Transduction during the Formation of Invadopodia
Noor Azhuan, N. A., Poignard, C., Suzuki, T., Shafie, S., and Admon, M. A.
Corresponding Email: ariffadmon@utm.my
Received date: 6 November 2018
Accepted date: 7 April 2019
Abstract:
Signal transduction is an important process associated with invadopodia formation which consequently leads to cancer cell invasion. In this study, a two-dimensional free boundary problem in a steady case of signal transduction during the formation of invadopodia is investigated. The signal equation is represented by a Laplace equation with the Dirichlet boundary condition. The plasma membrane is taken as zero level set function. The level set method is used to solve the complete model numerically. Our results showed that protrusions are developed on the membrane surface due to the presence of signal density inside the cell.
Keywords: Invadopodia formation, Signal transduction, Free boundary problem and Level set method
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