Determining the Youngs Modulus of the Bacterial Cell Envelope

Abstract

Bacteria experience substantial physical forces in their natural environment including forces caused by osmotic pressure, growth in constrained spaces, and fluid shear. The cell envelope is the primary load-carrying structure of bacteria, but the mechanical properties of the cell envelope are poorly understood; reports of Youngs modulus of the cell envelope of E. coli are widely range from 2 MPa to 18 MPa. We have developed a microfluidic system to apply mechanical loads to hundreds of bacteria at once and demonstrated the utility of the approach for evaluating whole-cell stiffness. Here we extend this technique to determine Youngs modulus of the cell envelope of E. coli and of the pathogens V. cholerae and S. aureus. An optimization-based inverse finite element analysis was used to determine the cell envelope Youngs modulus from observed deformations. The Youngs modulus of the cell envelope was 2.06 {+/-} 0.04 MPa for E. coli, 0.84 {+/-} 0.02 MPa for E. coli treated with a chemical known to reduce cell stiffness, 0.12 {+/-} 0.03 MPa for V. cholerae, and 1.52 {+/-} 0.06 MPa for S. aureus (mean {+/-} SD). The microfluidic approach allows examining hundreds of cells at once and is readily applied to Gram-negative and Gram-positive organisms as well as rod-shaped and cocci cells, allowing further examination of the structural causes of differences in cell envelope Youngs modulus among bacteria species and strains.