Effect of viscous drag on multiple receptor-ligand bonds rupture force

Theoretical and Experimental Studies of the Dynamic Damage of Endothelial Cellular Networks Under Ultrasound Cavitation

Introduction

The interaction between endothelial cells can regulate hemostasis, vasodilation, as well as immune and inflammatory responses. Excessive loading on the endothelial cells leads to endothelial damage and endothelial barrier dysfunction. Understanding and mastering the dynamic nature of cell-cell rupture plays a crucial role in exploring the practical applications related to tumor destruction, vascular remodeling, and drug delivery by employing cavitation-induced damage to soft tissues.

Methods

To investigate the damage mechanisms of endothelial cellular networks under ultrasound cavitation, we developed a model of junction rupture in cellular networks based on the assumption that the process of intercellular rupture is irreversible when ultrasound-mediated forces exceed the damage threshold, whereas intercellular junctions have reversible behavior before rupture. Simulations using the strain accumulation method show that stress and strain exhibit complex nonlinear dynamic behavior. Ultrasonic cavitation damage was tested and evaluated on human umbilical vein endothelial cells.

Results

The results indicated that the cellular network damage was positively correlated with force amplitude and pulse frequency and was negatively correlated with driving frequency. The time lag and the internal force of cellular junctions have an important influence on the resistance to damage of the cellular network due to external forces. The damage experiment based on ultrasonic cavitation confirmed the effectiveness of the proposed model.

Conclusions

The model provided a platform for understanding the damage mechanism of endothelial tissues and ultimately improving options for their prevention and treatment.

Rupture dynamics in model polymer systems

In this paper we explore the rupture dynamics of a model polymer system to capture the microscopic mechanism during relative motion of surfaces at the single polymer level. Our model is similar to the model for friction introduced by Filippov, Klafter, and Urbakh [Filippov et al., Phys. Rev. Lett., 2004, 92, 135503]; but with an important generalization to a flexible transducer (modelled as a bead spring polymer) which is attached to a fixed rigid planar substrate by interconnecting bonds (modelled as harmonic springs), and pulled by a constant force FT. Bonds are allowed to rupture stochastically. The model is simulated, and the results for a certain set of parameters exhibit a sequential rupture mechanism resulting in rupture fronts. A mean field formalism is developed to study these rupture fronts and the possible propagating solutions for the coupled bead and bond dynamics, where the coupling excludes an exact analytical treatment. Numerical solutions to mean field equations are obtained by standard numerical techniques, and they agree well with the simulation results which show sequential rupture. Within a travelling wave formalism based on the Tanh method, we show that the velocity of the rupture front can be obtained in closed form. The derived expression for the rupture front velocity gives good agreement with the stochastic and mean field results, when the rupture is sequential, while propagating solutions for bead and bond dynamics are shown to agree under certain conditions.

Effects of cellular viscoelasticity in multiple-bond force spectroscopy

Receptor-ligand bonds are often subjected to forces that regulate their detachment via modulating off-rates. Though the dynamics of detachment is primarily controlled by the physical chemistry of adhesion molecules cellular features such as cell deformability and microvillus viscoelasticity have been shown to have an effect on it as well. In this work, Monte Carlo simulation of the rupture of multiple receptor-ligand bonds between substrate and a polymorphonuclear leukocyte (PMN) cell suspended in a Newtonian fluid is performed. It is demonstrated via various micromechanical models of the PMN cell adhered to the substrate by multiple receptor-ligand bonds that viscous drag caused by relative motion of cell suspended in a Newtonian fluid and cellular viscoelasticity modulate transmission of an applied external load to receptor-ligand bonds. It is demonstrated that due to cellular viscoelasticity the instantaneous intermolecular bond force is lower than the instantaneous applied force. It is also demonstrated that due to cellular viscoelasticity, the mean intermolecular bond rupture forces are lowered while the mean bond lifetime increases.

Rupture of multiple catch-slip bonds: Two-state two-pathway catch-slip bonds

We performed Monte Carlo simulation of the detachment of a polymorphonuclear (PMN) leukocyte immersed in a Newtonian fluid and adhered to a substrate by multiple catch-slip bonds. We found that at certain loading rates the interplay of multiple catch-slip bonds leads to a bimodal distribution of the bond rupture force. We also found that the low force peak in these bond rupture force distributions switches to a high force peak with a gradual increase in the loading rate. These trends in the bond rupture force distributions are characteristics of two-state systems. Consequently, though individual catch-slip bonds follow one-state two-pathway energy landscape, their interplay mimics a two-state two-pathway energy landscape.