Mathematical Sciences - Seminar on numerical methods - "Modeling the cell cytoplasm rheology in confined environments" by Calina Copos (Courant Institute)

Thursday, November 29, 2018
11:00 am to 11:50 am

Location:

Floor/Room #: 
203

Thursday, November 30, 2018 
11:00-11:50 am, Room SH 203 
Calina Copos (Courant Institute)

Title Modeling the cell cytoplasm rheology in confined environments

Abstract. Microfluidic devices have found numerous applications in biology and medicine because of their ability to efficiently control and replicate microenvironments. Cell migration through microfluidic channels has gained interest as an experimental method for one-dimensional, directed migration and has been applied to study red blood cell flow, differentiation of cancer cells, and the role of interstitial flow in tumor cell migration. In such confined microenvironments, the rheology of the cytoplasm becomes an important factor in determining the escape time across the channel. With this goal in mind, we consider a poroelastic immersed boundary method in which a fluid permeates a porous, elastic structure of negligible volume fraction, and extend this method to include stress relaxation of a moving, deforming material. Finally, we use this modeling framework to study the passage of a cell through a microfluidic channel. In this confined experimental setup, we demonstrate that the rheology of the cell cytoplasm is important for capturing the transit time through a narrow channel in the presence of a pressure drop in the extracellular fluid.