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Journal of Chromatography. A Sep 2020The effect of bead and ligand structure on protein adsorption was investigated for multimodal anion exchangers combining a quaternary ammonium ion group with hydrophobic...
The effect of bead and ligand structure on protein adsorption was investigated for multimodal anion exchangers combining a quaternary ammonium ion group with hydrophobic moieties: Nuvia aPrime 1 and aPrime 2, based on a 54 μm diameter polymeric bead, and Capto Adhere ImpRes and Capto Adhere, based on agarose beads 51 and 78 μm diameter, respectively. Bovine serum albumin (BSA) monomer, BSA dimer, and thyroglobulin (Tg) were used as model proteins. Based on TEM imaging and iSEC, the Nuvia resins have a microgranular structure and large pores (110 nm radius), while the Capto resins have a fibrous structure and smaller pores (32-36 nm radius). Comparable binding capacities (80-110 mg/mL), decreasing as salt is added, are observed for all three proteins on the Nuvia resins. Higher capacities (110-130 mg/mL), also decreasing as salt is added, are observed for BSA monomer and dimer on the Capto resins. However, the Tg binding capacity is very low in this case and increases as salt is added. Confocal laser scanning microscopy show that the kinetics are controlled by pore diffusion for all four resins, but with diffusivities that decrease as the protein size increases especially for the Capto resins. For Tg at low salt, binding is restricted to a thin shell close to the bead surface for both Capto resins. The ratio of effective and free diffusivity is about 0.30, 0.18, and 0.08 for BSA monomer, BSA dimer, and Tg, respectively, on the Nuvia resin. These values decrease to about 0.11, 0.04, and 0.01, respectively, for the Capto resins as a result of diffusional hindrance. Dynamic binding capacities are consistent with the equilibrium and rate behaviors.
Topics: Adsorption; Anion Exchange Resins; Anions; Chromatography, Ion Exchange; Diffusion; Hydrophobic and Hydrophilic Interactions; Kinetics; Ligands; Polymers; Proteins; Sepharose; Serum Albumin, Bovine
PubMed: 32822983
DOI: 10.1016/j.chroma.2020.461444 -
Mathematical Biosciences Dec 2022The bulk-surface wave pinning model is a reaction-diffusion system for studying cell polarisation. It is constituted by a surface reaction-diffusion equation, coupled to...
The bulk-surface wave pinning model is a reaction-diffusion system for studying cell polarisation. It is constituted by a surface reaction-diffusion equation, coupled to a bulk diffusion equation with a non-linear boundary condition. Cell polarisation arises as the surface component develops specific patterns. Since proteins diffuse much faster in the cell interior than on the membrane, in the literature, the bulk component is often assumed to be spatially homogeneous. Therefore, the model can be reduced to a single surface equation. However, in real applications a spatially non-uniform bulk component might be an important player to take into account. In this paper, we study, through numerical computations, the role of the bulk component and, more specifically, how different bulk diffusion rates might affect the polarisation response. We find that the bulk component is indeed a key factor in determining the surface polarisation response. Moreover, for certain geometries, it is the spatial heterogeneity of the bulk component that triggers the polarisation response, which might not be possible in a reduced model. Understanding how polarisation depends on bulk diffusivity might be crucial when studying models of migrating cells, which are naturally subject to domain deformation.
Topics: Diffusion; Cell Polarity
PubMed: 36397641
DOI: 10.1016/j.mbs.2022.108925 -
Bio Systems Oct 2023Calcium is one of the most versatile messengers for intracellular signaling. In the case of cilia and flagella calcium has the central role in transfer of communications...
Calcium is one of the most versatile messengers for intracellular signaling. In the case of cilia and flagella calcium has the central role in transfer of communications between extracellular stimuli and intracellular formation of frequency modulated signal and their deciphering by target proteins. In this paper, the diffusion of fluorescently or otherwise tagged and un-tagged Ca particles is analyzed by solving the system of pertaining reaction-diffusion equations. We used Fourier transform tools to get asymptotic eigenfunctions for tagged (un-tagged) free and buffered Ca ions. We made some numerical estimations for diffusion coefficients corroborating the fact that messages diffuse faster than Ca messengers. From the best of our knowledge, this is the first time that Ca signaling in living cells is biophysically elaborated within the framework of model presented here. We suggest the experimental assay on the basis of radioactive Ca as tagged probe.
Topics: Calcium; Flagella; Cilia; Communication; Diffusion
PubMed: 37625514
DOI: 10.1016/j.biosystems.2023.105003 -
Fluids and Barriers of the CNS Mar 2023Astrocyte endfoot processes are believed to cover all micro-vessels in the brain cortex and may play a significant role in fluid and substance transport into and out of...
BACKGROUND
Astrocyte endfoot processes are believed to cover all micro-vessels in the brain cortex and may play a significant role in fluid and substance transport into and out of the brain parenchyma. Detailed fluid mechanical models of diffusive and advective transport in the brain are promising tools to investigate theories of transport.
METHODS
We derive theoretical estimates of astrocyte endfoot sheath permeability for advective and diffusive transport and its variation in microvascular networks from mouse brain cortex. The networks are based on recently published experimental data and generated endfoot patterns are based on Voronoi tessellations of the perivascular surface. We estimate corrections for projection errors in previously published data.
RESULTS
We provide structural-functional relationships between vessel radius and resistance that can be directly used in flow and transport simulations. We estimate endfoot sheath filtration coefficients in the range [Formula: see text] to [Formula: see text], diffusion membrane coefficients for small solutes in the range [Formula: see text] to [Formula: see text], and gap area fractions in the range 0.2-0.6%, based on a inter-endfoot gap width of 20 nm.
CONCLUSIONS
The astrocyte endfoot sheath surrounding microvessels forms a secondary barrier to extra-cellular transport, separating the extra-cellular space of the parenchyma and the perivascular space outside the endothelial layer. The filtration and membrane diffusion coefficients of the endfoot sheath are estimated to be an order of magnitude lower than those of the extra-cellular matrix while being two orders of magnitude higher than those of the vessel wall.
Topics: Mice; Animals; Astrocytes; Brain; Biological Transport; Diffusion; Extracellular Space
PubMed: 36941607
DOI: 10.1186/s12987-023-00421-8 -
ACS Nano Jan 2021The permeability of hydrogels for the selective transport of molecular penetrants (drugs, toxins, reactants, .) is a central property in the design of soft functional...
The permeability of hydrogels for the selective transport of molecular penetrants (drugs, toxins, reactants, .) is a central property in the design of soft functional materials, for instance in biomedical, pharmaceutical, and nanocatalysis applications. However, the permeation of dense and hydrated polymer membranes is a complex multifaceted molecular-level phenomenon, and our understanding of the underlying physicochemical principles is still very limited. Here, we uncover the molecular principles of permeability and selectivity in hydrogel permeation. We combine the solution-diffusion model for permeability with comprehensive atomistic simulations of molecules of various shapes and polarities in a responsive hydrogel in different hydration states. We find in particular that dense collapsed states are extremely selective, owing to a delicate balance between the partitioning and diffusivity of the penetrants. These properties are sensitively tuned by the penetrant size, shape, and chemistry, leading to vast cancellation effects, which nontrivially contribute to the permeability. The gained insights enable us to formulate semiempirical rules to quantify and extrapolate the permeability categorized by classes of molecules. They can be used as approximate guiding ("rule-of-thumb") principles to optimize penetrant or membrane physicochemical properties for a desired permeability and membrane functionality.
Topics: Diffusion; Hydrogels; Permeability; Polymers
PubMed: 33382598
DOI: 10.1021/acsnano.0c06319 -
Computers in Biology and Medicine Sep 2022We develop a lumped parameter model to describe and predict the mass release of (absorption from) an arbitrary shaped body of any dimension in a large environment....
We develop a lumped parameter model to describe and predict the mass release of (absorption from) an arbitrary shaped body of any dimension in a large environment. Through the one-to-one analogy between diffusion-dominated mass transfer systems and electrical circuits we provide exact solutions in terms of averaged concentrations and mass released. An estimate of the equivalent resistance and of the release time is also given, and shown to be inversely proportional to the diffusivity. The proposed electrical analogue approach allows a time constant to be defined and provides an easy extension to a multi-layer and multi-phase cases in planar and spherical geometries. The simulation results are compared with those obtained from the solution of the corresponding analytical, numerical and experimental solutions, showing a satisfactory accuracy and a good agreement.
Topics: Computer Simulation; Diffusion; Electricity; Mathematics
PubMed: 35834969
DOI: 10.1016/j.compbiomed.2022.105774 -
Proceedings of the National Academy of... Mar 2020Protein mobility at solid-liquid interfaces can affect the performance of applications such as bioseparations and biosensors by facilitating reorganization of adsorbed...
Protein mobility at solid-liquid interfaces can affect the performance of applications such as bioseparations and biosensors by facilitating reorganization of adsorbed protein, accelerating molecular recognition, and informing the fundamentals of adsorption. In the case of ion-exchange chromatographic beads with small, tortuous pores, where the existence of surface diffusion is often not recognized, slow mass transfer can result in lower resin capacity utilization. We demonstrate that accounting for and exploiting protein surface diffusion can alleviate the mass-transfer limitations on multiple significant length scales. Although the surface diffusivity has previously been shown to correlate with ionic strength (IS) and binding affinity, we show that the dependence is solely on the binding affinity, irrespective of pH, IS, and resin ligand density. Different surface diffusivities give rise to different protein distributions within the resin, as characterized using confocal microscopy and small-angle neutron scattering (length scales of micrometer and nanometer, respectively). The binding dependence of surface diffusion inspired a protein-loading approach in which the binding affinity, and hence the surface diffusivity, is modulated by varying IS. Such gradient loading increased the protein uptake efficiency by up to 43%, corroborating the importance of protein surface diffusion in protein transport in ion-exchange chromatography.
Topics: Diffusion; Ion Exchange Resins; Models, Chemical; Proteins
PubMed: 32179691
DOI: 10.1073/pnas.1921499117 -
Langmuir : the ACS Journal of Surfaces... Jun 2020Bacteria are important examples of active or self-propelled colloids. Because of their directed motion, they accumulate near interfaces. There, they can become trapped...
Bacteria are important examples of active or self-propelled colloids. Because of their directed motion, they accumulate near interfaces. There, they can become trapped and swim adjacent to the interface via hydrodynamic interactions, or they can adsorb directly and swim in an adhered state with complex trajectories that differ from those in bulk in both form and spatiotemporal implications. We have adopted the monotrichous bacterium PA01 as a model species and have studied its motion at oil-aqueous interfaces. We have identified conditions in which bacteria swim persistently without restructuring the interface, allowing detailed and prolonged study of their motion. In addition to characterizing the ensemble behavior of the bacteria, we have observed a gallery of distinct trajectories of individual swimmers on and near fluid interfaces. We attribute these diverse swimming behaviors to differing trapped states for the bacteria in the fluid interface. These trajectory types include Brownian diffusive paths for passive adsorbed bacteria, curvilinear trajectories including curly paths with radii of curvature larger than the cell body length, and rapid pirouette motions with radii of curvature comparable to the cell body length. Finally, we see interfacial visitors that come and go from the interfacial plane. We characterize these individual swimmer motions. This work may impact nutrient cycles for bacteria on or near interfaces in nature. This work will also have implications in microrobotics, as active colloids in general and bacteria in particular are used to carry cargo in this burgeoning field. Finally, these results have implications in engineering of active surfaces that exploit interfacially trapped self-propelled colloids.
Topics: Bacteria; Diffusion; Hydrodynamics; Pseudomonas aeruginosa; Water
PubMed: 32097012
DOI: 10.1021/acs.langmuir.9b03578 -
Physical Review. E May 2023The effect of helicity in magnetohydrodynamic turbulence on the effective turbulent magnetic diffusion is considered here. The helical correction to turbulent...
The effect of helicity in magnetohydrodynamic turbulence on the effective turbulent magnetic diffusion is considered here. The helical correction to turbulent diffusivity is analytically calculated with the use of the renormalization group approach. In agreement with previous numerical findings, this correction is shown to be negative and proportional to the second power of the magnetic Reynolds number, when the latter is small. In addition, the helical correction to turbulent diffusivity is found to obey a power-law-type dependence on the wave number of the most energetic turbulent eddies, k_{ℓ}, of the form k_{ℓ}^{-10/3}.
Topics: Physical Phenomena; Diffusion; Magnetic Phenomena
PubMed: 37329043
DOI: 10.1103/PhysRevE.107.055205 -
Biophysical Journal Sep 2023To generate forces that drive migration of a eukaryotic cell, arrays of actin filaments (F-actin) are assembled at the cell's leading membrane edge. To maintain cell...
To generate forces that drive migration of a eukaryotic cell, arrays of actin filaments (F-actin) are assembled at the cell's leading membrane edge. To maintain cell propulsion and respond to dynamic external cues, actin filaments must be disassembled to regenerate the actin monomers (G-actin), and transport of G-actin from sites of disassembly back to the leading edge completes the treadmilling cycle and limits the flux of F-actin assembly. Whether or not molecular diffusion is sufficient for G-actin transport has been a long-standing topic of debate, in part because the dynamic nature of cell motility and migration hinders the estimation of transport parameters. In this work, we applied an experimental system in which cells adopt an approximately constant and symmetrical shape; they cannot migrate but exhibit fast, steady treadmilling in the thin region protruding from the cell. Using fluorescence recovery after photobleaching, we quantified the relative concentrations and corresponding fluxes of F- and G-actin in this system. In conjunction with mathematical modeling, constrained by measured features of each region of interest, this approach revealed that diffusion alone cannot account for the transport of G-actin to the leading edge. Although G-actin diffusion and vectorial transport might vary with position in the protruding region, good agreement with the fluorescence recovery after photobleaching measurements was achieved by a model with constant G-actin diffusivity ∼2 μm/s and anterograde G-actin velocity less than 1 μm/s.
Topics: Actins; Actin Cytoskeleton; Cell Movement; Diffusion; Fluorescence
PubMed: 37644720
DOI: 10.1016/j.bpj.2023.08.022