Transfers of P-gp and in vitro MCF-7 cancer cells

People involved in this project:

1) P-gp transfer and acquired multi-drug resistance in tumors cells

Please click below to download the MATLAB code used in Hinow et al. SIAM (2009): 

- Monte Carlo simulation of transfers

- PDE simulation of transfers

Goal of the project:

Multi-Drug resistance for cancer cells as been a serious issue since several decades. In the past, many models have been proposed to describe this problem. These models use a discrete structured for the cancer cell population, and they may include some class of resistant, non resistant, and acquired resistant cells. Recently, this problem has received a more detailed biological description, and it turns out that the resistance to treatments is due in 40% of cancers to a protein called P-glycoprotein (P-gp). Recently Levchenko et al., Proc. Nat. Acad. Sci. USA (2005) have proved that P-gp can be transferred from cell to cell. This transfers turn to be responsible for the acquired resistance of sensitive cells. The goal of this work is to study further P-gp transfers and acquired resistance of MCF-7 cancer cells to chemotherapy, by using both biological experimentations (flow cytometry etc...), and mathematical modeling.

Some numerical simulations of the transfers models:

 

2) Porous media equation and colonies (see Ducrot et al. (Submitted))

By considering an in vitro culture of cells in a dish, and by incorporating cell cycle, quiescence, and contact inhibition in growth into a population dynamics model, we derive a porous media like equation with non-local term. The numerical simulation of the model gives rise to the formation of colonies of cells.

Click below to visualize the numerical simulations: 

Publications: