Dissipative Particle Dynamics Study of Strain Distribution in Capsules Deformed by Microfluidic Constrictions

Authors

  • Nishanthi Rajkamal Department of Biotechnology, Indian Institute of Technology Madras, Chennai 600036, India
  • Srikanth Vedantam Department of Engineering Design, Indian Institute of Technology Madras, Chennai 600036, India

DOI:

https://doi.org/10.13052/ejcm2642-2085.30465

Keywords:

Intracellular delivery, Mechanoporation, Dissipative particle dynamics, Numerical simulation, Microfluidics

Abstract

We present a dissipative particle dynamics (DPD) study of the deformation of capsules in microchannels. The strain in the membrane during this deformation causes the formation of temporary pores, which is termed mechanoporation. Mechanoporation is being considered as a means by which intracellular delivery of a broad range of cargo can be facilitated. In this work, we examine the strain distribution on the capsule membrane during transport of the capsule in converging-diverging microchannels of different constriction widths. The pore density is correlated to the strain in the membrane. We find that the highest strains and, consequently, the highest pore densities occur at intermediate channel widths. This occurs due to a competition of the bending of the membrane and fluid shear stresses in the flow.

Downloads

Download data is not yet available.

Author Biographies

Nishanthi Rajkamal, Department of Biotechnology, Indian Institute of Technology Madras, Chennai 600036, India

Nishanthi Rajkamal received her bachelor’s degree in biotechnology in 2009, master’s degree in nanoscience and nanotechnology from Anna University in 2011. She is currently pursuing philosophy of doctorate degree in biomedical devices and technology at Indian institute of technology Madras. Her research is on modeling dynamics of mechanoporation in intracellular delivery devices.

Srikanth Vedantam, Department of Engineering Design, Indian Institute of Technology Madras, Chennai 600036, India

Srikanth Vedantam is a professor in the Department of Engineering Design at the Indian Institute of Technology Madras. He received his ScD from the Massachusetts Institute of Technology in 2000. He has more than 20 years of teaching and research experience in the National University of Singapore and the Indian Institute of Technology Madras. His areas of expertise are in computational mechanics of solids and fluids, with a particular focus on discrete particle approaches.

References

M. P. Stewart, R. Langer, and K. F. Jensen, “Intracellular delivery by membrane disruption: Mechanisms, strategies, and concepts,” Chem. Rev., vol. 118, no. 16, pp. 7409–7531, 2018.

A. Sharei et al., “Ex vivo cytosolic delivery of functional macromolecules to immune cells,” PLoS One, vol. 10, no. 4, pp. 1–12, 2015.

G. L. Szeto et al., “Microfluidic squeezing for intracellular antigen loading in polyclonal B-cells as cellular vaccines,” Sci. Rep., vol. 5, no. February, pp. 1–13, 2015.

J. Li et al., “Microfluidic-Enabled Intracellular Delivery of Membrane Impermeable Inhibitors to Study Target Engagement in Human Primary Cells,” ACS Chem. Biol., vol. 12, no. 12, pp. 2970–2974, 2017.

A. Kollmannsperger et al., “Live-cell protein labelling with nanometre precision by cell squeezing,” Nat. Commun., vol. 7, p. 10372, 2016.

T. DiTommaso et al., “Cell engineering with microfluidic squeezing preserves functionality of primary immune cells in vivo,” Proc. Natl. Acad. Sci., vol. 115, no. 46, pp. E10907–E10914, 2018.

A. Sharei et al., “A vector-free microfluidic platform for intracellular delivery,” Proc. Natl. Acad. Sci., p. 201218705, 2013.

J. Lee et al., “Nonendocytic delivery of functional engineered nanoparticles into the cytoplasm of live cells using a novel, high-throughput microfluidic device,” Nano Lett., vol. 12, no. 12, pp. 6322–6327, 2012.

A. Sharei et al., “Plasma membrane recovery kinetics of a microfluidic intracellular delivery platform,” Integr. Biol., vol. 6, no. 4, pp. 470–475, 2014.

M. Raab et al., “ESCRT III repairs nuclear envelope ruptures during cell migration to limit DNA damage and cell death,” Science (80-.)., vol. 352, no. 6283, pp. 359–362, 2016.

T. Harada et al., “Nuclear lamin stiffness is a barrier to 3D migration, but softness can limit survival,” J. Cell Biol., vol. 204, no. 5, pp. 669–682, 2014.

O. S. Pak, Y. N. Young, G. R. Marple, S. Veerapaneni, and H. A. Stone, “Gating of a mechanosensitive channel due to cellular flows,” Proc. Natl. Acad. Sci. U. S. A., vol. 112, no. 32, pp. 9822–9827, 2015.

P. J. Hoogerbrugge and J. M. V. A. Koelman, “Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics,” EPL, vol. 19, no. 3. IOP Publishing, pp. 155–160, 01-Jun-1992.

A. J. Ladd, “Numerical Simulations of Particulate Suspensions Via a Discretized Boltzmann Equation. Part 1. Theoretical Foundation,” J. Fluid Mech., vol. 271, pp. 285–309, 1994.

D. H. Rothman and S. Zaleski, “Lattice-gas models of phase separation: Interfaces, phase transitions, and multiphase flow,” Rev. Mod. Phys., vol. 66, no. 4, pp. 1417–1479, 1994.

W. Dzwinel, K. Boryczko, and D. A. Yuen, “A discrete-particle model of blood dynamics in capillary vessels,” J. Colloid Interface Sci., vol. 258, no. 1, pp. 163–173, Feb. 2003.

M. M. Dupin, I. Halliday, C. M. Care, L. Alboul, and L. L. Munn, “Modeling the flow of dense suspensions of deformable particles in three dimensions,” Phys. Rev. E – Stat. Nonlinear, Soft Matter Phys., vol. 75, no. 6, p. 066707, Jun. 2007.

H. Noguchi and G. Gompper, “Shape transitions of fluid vesicles and red blood cells in capillary flows,” Proc. Natl. Acad. Sci. U. S. A., vol. 102, no. 40, pp. 14159–14164, Oct. 2005.

I. V. Pivkin and G. E. Karniadakis, “Accurate coarse-grained modeling of red blood cells,” Phys. Rev. Lett., vol. 101, no. 11, pp. 1–4, 2008.

D. A. Fedosov, B. Caswell, and G. E. Karniadakis, “A multiscale red blood cell model with accurate mechanics, rheology, dynamics,” Biophys. J., vol. 98, no. 10, pp. 2215–2225, May 2010.

W. Pan, B. Caswell, and G. E. Karniadakis, “A low-dimensional model for the red blood cell,” Soft Matter, vol. 6, no. 18, pp. 4366–4376, 2010.

K. Müller, “In silico particle margination in blood flow,” Universität zu Köln, 2015.

S. Z. Hoque, D. V. Anand, and B. S. V Patnaik, “The dynamics of a healthy and infected red blood cell in flow through constricted channels: A DPD simulation,” Int. J. Numer. Method. Biomed. Eng., vol. 34, no. 9, p. e3105, 2018.

G. R. Lázaro, A. Hernández-Machado, and I. Pagonabarraga, “Rheology of red blood cells under flow in highly confined microchannels: I. Effect of elasticity,” Soft Matter, vol. 10, no. 37, pp. 7195–7206, Oct. 2014.

X. Niu, T. W. Pan, and R. Glowinski, “The dynamics of inextensible capsules in shear flow under the effect of the natural state,” Biomech. Model. Mechanobiol., vol. 14, no. 4, pp. 865–876, Aug. 2015.

B. Kaoui and J. Harting, “Two-dimensional lattice Boltzmann simulations of vesicles with viscosity contrast,” Rheol. Acta, vol. 55, no. 6, pp. 465–475, Jun. 2016.

D. S. Hariprasad and T. W. Secomb, “Two-dimensional simulation of red blood cell motion near a wall under a lateral force,” Phys. Rev. E – Stat. Nonlinear, Soft Matter Phys., vol. 90, no. 5, p. 053014, Nov. 2014.

X. Q. Hu, A. V. Salsac, and D. Barthès-Biesel, “Flow of a spherical capsule in a pore with circular or square cross-section,” J. Fluid Mech., vol. 705, pp. 176–194, 2012.

S. Y. Park and P. Dimitrakopoulos, “Transient dynamics of an elastic capsule in a microfluidic constriction,” Soft Matter, vol. 9, no. 37, pp. 8844–8855, 2013.

M. Y. Hwang, S. G. Kim, H. S. Lee, and S. J. Muller, “Elastic particle deformation in rectangular channel flow as a measure of particle stiffness,” Soft Matter, vol. 14, no. 2, pp. 216–227, 2018.

K. K. Sreeja, J. H. Ipsen, and P. B. Sunil Kumar, “Monte Carlo simulations of fluid vesicles,” J. Phys. Condens. Matter, vol. 27, no. 27, 2015.

B. Kaoui, G. Biros, and C. Misbah, “Why do red blood cells have asymmetric shapes even in a symmetric flow?,” Phys. Rev. Lett., vol. 103, no. 18, p. 188101, 2009.

S. T. Braakman et al., “Biomechanical strain as a trigger for pore formation in Schlemm’s canal endothelial cells,” Exp. Eye Res., vol. 127, pp. 224–235, 2014.

W. Pan, I. V. Pivkin, and G. E. Karniadakis, “Single-particle hydrodynamics in DPD: A new formulation,” EPL (Europhysics Lett., vol. 84, no. 1, p. 10012, 2008.

A. Kumar, “Computational Modeling of Microfluidic Process using Dissipative Particle Dynamics,” University of Rhode Island, 2009.

S. K. Ranjith, B. S. V. Patnaik, and S. Vedantam, “No-slip boundary condition in finite-size dissipative particle dynamics,” J. Comput. Phys., vol. 232, no. 1, pp. 174–188, 2013.

A. Yazdani, M. Deng, B. Caswell, and G. E. Karniadakis, “Flow in complex domains simulated by Dissipative Particle Dynamics driven by geometry-specific body-forces,” J. Comput. Phys., vol. 305, pp. 906–920, Jan. 2016.

A. R. Sharei, “Cell squeezing: a vector-free microfluidic platform for intracellular delivery of macromolecules,” Massachusetts Institute of Technology, 2013.

Downloads

Published

2021-12-08

How to Cite

Rajkamal, N. ., & Vedantam, S. . (2021). Dissipative Particle Dynamics Study of Strain Distribution in Capsules Deformed by Microfluidic Constrictions. European Journal of Computational Mechanics, 30(4-6), 409–430. https://doi.org/10.13052/ejcm2642-2085.30465

Issue

Section

Original Article