A two-step model for surfactant adsorption at solid surfaces

Tabor, Richard Francis; Eastoe, Julian; Dowding, P.

doi:10.1016/j.jcis.2010.03.047

Cited by 73 publications

(43 citation statements)

References 16 publications

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“…The kinetic form of the Langmuir adsorption model provides the simplest descriptor for the dynamics of adsorption at a solid-solution interface (33).…”

Section: Methodsmentioning

confidence: 99%

Analysis of Perforin Assembly by Quartz Crystal Microbalance Reveals a Role for Cholesterol and Calcium-independent Membrane Binding

Stewart

Bird

Tabor

et al. 2015

Journal of Biological Chemistry

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Perforin is an essential component in the cytotoxic lymphocyte-mediated cell death pathway. The traditional view holds that perforin monomers assemble into pores in the target cell membrane via a calcium-dependent process and facilitate translocation of cytotoxic proteases into the cytoplasm to induce apoptosis. Although many studies have examined the structure and role of perforin, the mechanics of pore assembly and granzyme delivery remain unclear. Here we have employed quartz crystal microbalance with dissipation monitoring (QCM-D) to investigate binding and assembly of perforin on lipid membranes, and show that perforin monomers bind to the membrane in a cooperative manner. We also found that cholesterol influences perforin binding and activity on intact cells and model membranes. Finally, contrary to current thinking, perforin efficiently binds membranes in the absence of calcium. When calcium is added to perforin already on the membrane, the QCM-D response changes significantly, indicating that perforin becomes membranolytic only after calcium binding.

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“…The kinetic form of the Langmuir adsorption model provides the simplest descriptor for the dynamics of adsorption at a solid-solution interface (33).…”

Section: Methodsmentioning

confidence: 99%

Analysis of Perforin Assembly by Quartz Crystal Microbalance Reveals a Role for Cholesterol and Calcium-independent Membrane Binding

Stewart

Bird

Tabor

et al. 2015

Journal of Biological Chemistry

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“…Because the concentration C s ∈ R 2 in the polymer depends of the concentration C g ∈ R 2 in the FOUP's atmosphere, we assume that the boundary condition that, on Γ D is a prescribed inflow concentration and at the interface, the two concentrations C s ∈ R 2 and C g ∈ R 2 will be equilibred by the Henry constant (Henry law). We will start by developing some analytical solution for the diffusion equation with uniform diffusivities in an unbounded domain and for very simple boundary conditions as developed by J.Cranck in [9]. Then we will solve the general form of the equation using the finite element method, a numerical technique of optimization, for any type of boundary condition.…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…They are also able to absorb volatile compounds present in their atmosphere coming from the connection to an equipment or from the release of wafers post processed [1]- [4], [9]. These phenomena result a reversible and a irreversible outgassing of contaminant previously trapped in polymer [9], [10], [11].…”

Section: Introductionmentioning

confidence: 99%

Dynamic boundary conditions for a coupled convection-diffusion model with heat effects: applications in cross-contamination control

Santatriniaina¹,

Deseure²,

Nguyen³

et al. 2015

IJAMR

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This work investigates the mass transfer of the Airborne Molecular cross Contamination (AMCs) between the Front Opening Unified Pod (FOUP) and wafer (silicon substrates) during the microelectronics devices manufacturing using dynamic boundary conditions. Such cross-contamination phenomena lead to detrimental impact on production yield in microelectronic industry and a predictive approach using modelling and computational methods is a very strong way to understand and qualify the AMCs cross contamination processes. The FOUP is made of polymeric materials and it is considered as a heterogeneous porous media, it can asorb and desorb the contaminant, thus the modelled processes are the contamination of two-component in transient flow. Coupled diffusion and convection-diffusion model with heat effects are used to define the phenomena. The present methodology is, first using the optimization methods with the numerical solution in order to define the physical constants of various materials which have been studied experimentally and separately, and the second using the finite element methods including these physical constants and relevant interface condition in order to take into account the adsorption kinetics law. Numerical methods to solve the problem are proposed. The dynamics behavior of the AMCs analysis was determined thanks to the switch of Dirichlet to Neumann condition. The mathematical model preserves the classical forms of the diffusion and convection diffusion equations and yields to consistent form of the Fick's law. The computed results are in correlation with the experimental measurements. Some numerical results are presented in this work.

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“…At the interface of that domain a kinetics law will be established. According to Fick's first and second law, also known as the diffusion equation [9]- [10], is defined in the first part of the equation (1). Where here i: = s, g. The AMCs cross contamination is governed by diffusion time dependent process in which the rate of diffusion is a fraction of time.…”

Section: Model Settingsmentioning

confidence: 99%

“…method in [15]- [16], can be written (8) where and are the experimental quantity of the contaminant recorded inside the polymer membrane (FOUP) and the amount of incorporated contaminant is computed using the analytical solution defines at the end of the section 3.2. According the matrix notation the equation (8) becomes: (9) In this expression, the diffusion coefficient is the unknown. In order to determine , we have to minimize the objective function given by (10) This function has one global minimum and the set the diffusion coefficient which belongs to this minimum is defined to be optimal fitting to the experimental data.…”

Section: Model Settingsmentioning

confidence: 99%

Coupled system of PDEs to predict the sensitivity of some materials constituents of FOUP with the AMCs cross-contamination

Santatriniaina

Deseure²,

Nguyen³

et al. 2014

International Journal of Applied Mathematical Research

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This paper deals a predictive model using modeling and computational methods to investigate the sensitivity of some materials constituents of the FOUP with the AMCs cross contamination. Required numerical tools which are employed in order to study the AMCs cross-contamination transfer phenomena between wafers and FOUPs were developed. Numerical optimization and finite elements formulation in transient analysis were established. Analytical solution of one dimensional problem was developed and the calibration process of physical constants was performed. This mode was used to study the sensitivity of some material with the cross contamination. The behavior of the AMCs in transient analysis was determined. The model framework preserves the classical forms of the diffusion and convection-diffusion equations and yields to consistent form of the Fick's law. The adsorption kinetics of the contaminant on the surface (interface contaminant/polymer) was assumed. The adsorption process and the surface roughness effect were also traduced as a boundary condition using the switch condition Dirichlet to Neumann and the interface condition. Many tests of contamination processes were assumed in order to study the sensitivity of the materials. Optimization methods with analytical solution were used to define physical constants for each material versus contaminant. Finite element methods including adsorption kinetic were also used and by using Henry law on the interface and the switch of Dirichlet to Neumann conditions.

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A two-step model for surfactant adsorption at solid surfaces

Cited by 73 publications

References 16 publications

Analysis of Perforin Assembly by Quartz Crystal Microbalance Reveals a Role for Cholesterol and Calcium-independent Membrane Binding

Analysis of Perforin Assembly by Quartz Crystal Microbalance Reveals a Role for Cholesterol and Calcium-independent Membrane Binding

Dynamic boundary conditions for a coupled convection-diffusion model with heat effects: applications in cross-contamination control

Coupled system of PDEs to predict the sensitivity of some materials constituents of FOUP with the AMCs cross-contamination

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