Design of a Scaled Framework for Perforation Behavior Analysis of Red Blood Cell Membrane Subjected to Impact Loading by Nanoparticle

Abstract

Presently there is not any known scaling method using scaled models to investigate mechanical behavior of cell which prepares executable scaled experiments for design of drug delivery systems by nanoparticles as a practical application. in this paper, for first time, based on the new finite-similitude scaling theory, scaled framework is developed for perforation behavior analysis of Red Blood Cell (RBCs) membrane subjected to impact loading by conducting experimental tests on large-scale models even made out of different materials such as rubbers with different hyperplastic constitutive laws. Abaqus finite element software is employed to test the effectiveness of the finite-similitude theory. Validating numerical experiments under impact loading by experimental results, shows that behavior of red blood cell with Yeoh law can be predicted with good accuracy. Among 8 selected trial material, number 7 with Mooney-Rivlin law is the best selection to scale RBC with error less than 5%. Also, if 10% error in result will be accepted, then number 2 with Yeoh law is the good choice for RBC scaling. Based on results, number 8 with Ogden law is the worst for RBC scaling.

Keywords

• finite similitude
• scaling
• red blood cell (rbc)
• hyper-elastic constitutive equations
• rubbers