Análise de perturbação linear aplicada a fragmentos celulares com motilidade produzida pela rede de actina

Abstract

Instabilities at the interface between fluids occur when a less viscous fluid displaces a more viscous one in a narrow space between two parallel plates, the so-called Hele-Shaw cell. Recently, the applications of the confined geometry of the Hele-Shaw cell have been extended to the scope of biological systems. Confined cell fragments revealed instabilities produced by actin protein polymerization capable of being mechanically analyzed through the laws that govern the HeleShaw cell with viscous fluids, confirming the great prototypical role of the study of this geometry. Our objective is to use mathematical methods of fluid dynamics to describe these biological systems. Here we present an analytical study based solely on actin polymerization, in which we performed a linear perturbation analysis of the cell fragment to investigate some of its characteristics, such as the stability of its interface.