Phospholipid Bilayer Softening Due to Hydrophobic Gold Nanoparticle

Oct 16, 2018 - Department of Chemical and Biomolecular Engineering, Clemson University, Clemson , South Carolina 29634 , United States. ‡ Department...
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Biological and Environmental Phenomena at the Interface

Phospholipid Bilayer Softening due to Hydrophobic Gold Nanoparticle Inclusions Saptarshi Chakraborty, Akram Abbasi, Geoffrey D. Bothun, Michihiro Nagao, and Christopher L. Kitchens Langmuir, Just Accepted Manuscript • DOI: 10.1021/acs.langmuir.8b02553 • Publication Date (Web): 16 Oct 2018 Downloaded from http://pubs.acs.org on October 20, 2018

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Langmuir

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Phospholipid

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Nanoparticle Inclusions

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Saptarshi Chakraborty 1, Akram Abbasi2, Geoffrey D. Bothun2, Michihiro Nagao 3, 4, Christopher

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L. Kitchens 1

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1

Department of Chemical and Biomolecular Engineering, Clemson University, SC 29634, USA

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2

Department of Chemical Engineering, University of Rhode Island, Kingston, RI 02881, USA

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3

NIST Center for Neutron Research, National Institute of Standards and Technology,

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Gaithersburg, MD 20899, USA

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Bilayer

Softening

due

to

Hydrophobic

Center for Exploration of Energy and Matter, Department of Physics, Indiana University,

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Bloomington, IN 47408, USA

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1

Corresponding author Email: [email protected]; Phone: 864-656-2131

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Gold

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ABSTRACT

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Liposome-Nanoparticle Assemblies (LNAs) are vital in the context of novel targeted drug delivery

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systems, in addition to investigating nanoparticle-lipid bilayer interactions. Quantifying membrane

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structural properties and dynamics in presence of nanoparticle inclusions provides a simple model

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to elucidate nanoparticle effects on membrane biophysical properties. We present experimental

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evidences of bilayer softening due to small hydrophobic gold nanoparticle inclusions. LNA

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structure has been investigated by a combination of cryo-TEM, DLS and SANS. Neutron spin

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echo (NSE) spectroscopy demonstrated a remarkable ~15% bending modulus decrease for LNAs

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relative to pure liposomes. Clear dependence of bending modulus on AuNP diameter and

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concentration was observed from our observations. Our findings point towards local bilayer

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fluidization by nanoparticle inclusions leading to an overall bilayer softening. These findings add

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valuable information to liposomal drug-delivery vehicle design and membrane biophysics

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research.

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INTRODUCTION

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Nanoparticle (NPs) applications in conjugation with biological entities has increased

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manifold with the advent of nanoparticle drug delivery systems and liposome-nanoparticle

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assemblies (LNAs) as stimuli responsive drug delivery vehicles.1-4 From an environmental

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impact standpoint, increased exposure to NPs from consumer products has also led to increased

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nanoparticle-cell membrane interactions5 resulting in NP uptake by endocytosis,6 attachment,7

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cell membrane penetration and changes in cell membrane permeability.8-9 Specifically, gold

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nanoparticles (AuNPs) have been extensively applied for gene therapy,10 targeted drug

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delivery,11-13 contrast agents in bioimaging,14-15 biosensors,16 hyperthermia agent17-19 and other

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applications.

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Cell membranes are in most cases, the first contact point between any engineered NP and

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a biological target. Cell membranes are complex systems containing a variety of lipids and

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embedded proteins which present difficulty in examining underlying biophysical properties.

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Single or multi-component lipid bilayers in the unilamellar liposomal form, provides a simple cell

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membrane model that can be used to examine NP-lipid bilayer interactions. Generally, NPs interact

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with liposomes in two ways: a) hydrophilic NPs adsorbed internally or externally to the bilayer

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inner or outer leaflet respectively,3, 9, 20-24 or b) hydrophobic NP inclusions that reside inside the

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bilayer acyl core.2, 25-28 In the current work, we focus on the latter, where AuNP inclusions reside

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in the bilayer core. Prior studies involving LNAs have focused on formation, stability, structural

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changes, and phase behavior associated with AuNP incorporation.25, 29, 30 Previously, we have

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demonstrated effects on structure and phase behavior of lipid bilayers with embedded stearylamine

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(SA) coated AuNPs.31 Lipid bilayer thickening was observed in addition to increase in transition

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temperature on embedding SA-AuNPs in bilayer as shown by small angle neutron scattering

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(SANS) and differential scanning calorimetry (DSC) respectively.

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From the perspective of designing efficient stimuli-responsive LNAs, it is essential to

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quantify the bio-mechanical effects brought about in the lipid bilayer due to AuNP inclusions.

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Similarly, in the context of AuNP toxicity, it is important to focus on lipid bilayer biomechanical

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parameters which dictate many biologically relevant processes. Membrane bending modulus is

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one of the most vital membrane property related to liposomal drug release characteristics and

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directly relates to permeability and bilayer phase behavior.32 Bending fluctuations in lipid bilayers

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control biological phenomena such as budding33, stalk formation34 and gene delivery35. Bending

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modulus maintenance is thus directly linked to a cell’s stability, proper functioning and its survival.

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Prior studies to quantify lipid bilayer bending modulus were limited to giant unilamellar vesicles

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(GUVs), when micropipette aspiration36 or flickering spectroscopy37 was utilized. Aforementioned

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methods are not feasible for measurements in the length scale of small unilamellar vesicles (SUVs)

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(< 100 nm diameter). Dynamic light scattering (DLS) can be used to study collective bilayer

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undulations and translational dynamics, however bending fluctuations of SUV bilayers are much

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smaller than length scales probed by light scattering and cannot be isolated solely through DLS.38-

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length scale and is suited for vibrational, rotational and diffusion dynamics in lipid bilayers.41-42

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Solid-state NMR has been used to access the bending fluctuation domain, but suffers from sample

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geometry restrictions, sensitivity and lack of spatial correlations.39, 43 Invasive techniques like

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atomic force microscopy (AFM) requires supported lipid bilayers which greatly differ in

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mechanical properties from liposomal/cellular bilayer structure in solution.44

Nuclear magnetic resonance (NMR) probes much smaller length scales than bending dynamics

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Bending fluctuations in SUV bilayers have pico to nano second time scale and 0.1 nm to

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10 nm length scale which overlaps the time and length regimes probed by neutron spin echo (NSE)

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spectroscopy.20, 45-49 NSE is a non-invasive technique that can measure an ensemble average of

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bending dynamics providing greater statistical advantage over other methods. Neutrons as probes,

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provide greatly enhanced contrast between protonated lipids and deuterated solvent (D2O) to

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directly measure bending fluctuations. NSE spectroscopy has been used previously to measure

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bending modulus for bilayers including multicomponent bilayers,49-51 multi-bilayers,47 stacked

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bilayers in complex fluids,52 and mechanical properties of nanoscopic lipid domains.53 NSE has

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been successfully utilized in investigating the effects of foreign molecules and inclusions like

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cholesterol,54 local anesthetic,55 non-steroidal anti-inflammatory drugs (NSAIDs),56-57 and

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inorganic NPs attached to the outer leaflet of bilayers.20 In this work, bending modulus of LNA

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bilayers

composed

of

zwitterionic

dipalmitoylphosphatidylcholine

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(DPPC)

and

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dipalmitoylphosphatidylglycerol (DPPG) with dodecanethiol-functionalized AuNP (AuNP-DDT)

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inclusions, has been measured through a combination of DLS and NSE. Effect of AuNP size and

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concentration has been examined at two different lipid to nanoparticle (L/N) ratios in the fluid

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phase. LNA structures were investigated extensively with cryo-transmission electron microscopy

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(cryo-TEM) and small angle neutron scattering (SANS).

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RESULTS AND DISCUSSION

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AuNP Synthesis and LNA formation. Hydrophobic dodecanethiol-functionalized

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AuNPs (DDT-AuNPs) were synthesized with average core diameters of 3.0 ± 0.6 nm and 5.5 ±

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1.5 nm (henceforth referred to as 3 nm AuNP and 5 nm AuNP), as determined by TEM (Figure

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1). The AuNP diameters correspond to a size smaller and larger than the average bilayer thickness

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for fluid phase DPPC/DPPG bilayers (≈ 3.8 nm).

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Figure 1. TEM images of (A) 3 nm AuNP and (B) 5.5 nm AuNP. Distribution of particle size for (C) 3 nm AuNP and (D) 5 nm AuNP. Errors represent one standard deviation from mean diameter.

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LNAs were synthesized for both particle sizes at a theoretical lipid to NP (L/N) ratio of

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7500:1 (low AuNP conc.) and 5000:1 (high AuNP conc.). LNAs obtained after final extrusion

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through 100 nm diameter pore size membrane were stable and remained dispersed for weeks

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without any visible sedimentation or aggregation. Pure liposomes (no AuNPs) exhibited a

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characteristic bluish hue after extrusion and LNA dispersions were dark brown (Supplementary

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Information, Figure S1).

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A key result often excluded in prior LNA research is the AuNP inclusion efficiency based

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on AuNP size. This was accomplished by drying stable LNA aliquots and extracting the AuNP

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inclusions in toluene. A two tailed t-test (95% confidence level) of particle size distributions from

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TEM images (Supplementary Information, Figure S2) demonstrates no significant difference

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between 3 nm diameter AuNP inclusions (3.0 ± 0.8 nm for low concentration and 3.0 ± 0.9 nm for

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high concentration) and actual 3 nm diameter AuNP (3.0 ± 0.6 nm). Hence, this depicts successful

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inclusion of the entire AuNP size range in LNA bilayers. The 5 nm AuNP (5.5 nm ± 1.6 nm)

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however, showed successful incorporation of smaller AuNPs only (3.8 nm ± 1.2 nm for low

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concentration and 3.7 nm ± 1.1 nm for high concentration) in the bilayer, which are statistically

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different. LNAs formed with 5 nm AuNPs are henceforth referred to as 3.8 nm AuNP LNAs and

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results have been summarized in Table 1. Theoretical studies previously conducted with CdSe

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quantum dots in DOPC bilayers showed a threshold diameter of 6.5 nm below which CdSe

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quantum dot bilayer inclusion is successful, and above which lipid stabilized micelle structures

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were formed.58 Similarly, a threshold (AuNP + DDT) diameter was observed, above which AuNPs

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are preferentially stabilized by lipid monolayers or form aggregates. The post-extrusion LNA L/N

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ratio was determined from elemental gold and phosphorus concentrations measured by inductively

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coupled plasma-optical emission spectroscopy (ICP-OES). TEM and ICP-OES analysis of AuNPs

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inclusions and LNAs are summarized in Table 1. The AuNP concentration is lower than theoretical

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for all LNAs, due to AuNP aggregation and loss during hydration and extrusion (Supplementary

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Information, Figure S3). The 3 nm AuNP has a loading efficiency of 77% and 68% for the low

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and high concentrations respectively. The 5 nm AuNP loading efficiency was much lower (43%

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and 42% for high and low 5 nm AuNP concentrations respectively) due to additional large AuNP

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exclusion from lipid bilayers. Assuming a homogeneous AuNP distribution in all LNAs, AuNP

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inclusion concentration can also be estimated as AuNP per LNA as shown in Table 1 (see

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Supplementary Information, Section S4 for details). However, discussions in the following section

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will show that depicting AuNP inclusion concentrations in AuNP per LNA terms is a crude

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average.

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Table 1. Summary of AuNP inclusions in LNAs and actual AuNP loading in lipid a bilayers. measured by TEM analysis of AuNPs extracted from stable LNAs. b measured by ICP-OES analysis of stable LNAs. Errors in diameter represent one standard deviation from the mean.

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Cryo-TEM Characterization of LNAs. Formation of stable SUVs with AuNP inclusions

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in the bilayer core was visualized by cryo-TEM imaging of LNAs (Figure 2 and Supplementary

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Information S5). Analysis of pure liposomes (no AuNP), showed presence of unilamellar

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liposomes only (average diameter 85 ± 24 nm) with no multilamellar liposomes (> 1000 pure

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liposomes analyzed).

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observed previously30. The LNAs were either partially loaded with isolated AuNPs (Figure 2C and

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2F), partially loaded with small AuNP clusters (Figure 2D and E), completely loaded with AuNPs

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(Figure 2C and 2E) or apparently bare (henceforth mentioned as bare liposomes, observed in the

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background, out of focus, in Figure 2B, C and E). Clusters containing a few AuNPs were observed

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in bilayers for all LNAs (Figure 2E). On statistical analysis of all LNA cryo-TEM images (> 500

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liposomes counted), LNAs with AuNP clusters and apparent bare liposomes were the most

The AuNP distribution in LNAs was not homogeneous, as similarly

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prevalent liposomes at > 80%. Figure 2E shows an LNA completely packed with AuNPs but

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demonstrates a homogenous NP distribution in the bilayer. Interestingly, cryo-TEM shows that

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LNAs with completely packed bilayers had greater sphericity and smaller average diameter (for

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example, 52 ± 31 nm for 3.8 nm LNA (high) compared to the bare LNAs (87 ± 14 nm) or LNAs

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with small AuNP clusters (89 ± 21 nm) in the same sample. Similar observations have been made

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previously with iron oxide NPs in DSPC liposomes27 and CdSe NPs in polymersomes.59 Figure

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2D shows the presence of larger AuNPs and possible AuNP aggregates in the lipid bilayer. Position

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of these aggregates/large AuNPs could not be judged with certainty through cryo-TEM. Some disc

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shaped/rod/worm like AuNP clusters were also observed at high AuNPs loadings (Figure 2B).

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Figure 2. Cryo-TEM images showing (A) pure liposomes; 3 nm AuNP LNAs: (B) high (C) low; 5 nm AuNP LNAs: (D) high and (E) low; (F) shows isolated AuNP in LNAs. Arrows in (C) denote partially packed LNAs; Arrow in (B) shows existence of possible disc/rod/worm like AuNP aggregates. Arrow in (D) shows presence of large AuNP aggregates and large AuNPs. Arrow in (E) depicts small AuNP clusters in lipid bilayer.

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AuNP distribution in LNAs is attributed to non-homogeneous mixing in bilayers due to

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cluster generation during AuNP-lipid bilayer thin film formation. Stable incorporation of

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hydrophobic AuNPs in lipid bilayers while maintaining structural integrity occurs by unzipping of

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lipid bilayers and AuNP insertion. Unzipping of bilayer by an isolated AuNP is an energy intensive

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process, thus AuNPs form clusters to reduce generated void spaces in the bilayers during LNA

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sample preparation.30, 58, 60 We envision three distinct regions in the dry AuNP-lipid film during

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LNA preparation: 1) bilayer regions with large AuNP clusters, 2) bilayer regions with small AuNP

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clusters and 3) apparently bare lipid bilayer regions/isolated AuNPs in bilayer. LNAs with fully

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packed AuNPs would be generated from region 1, where a single cluster can form a low curvature

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LNA itself. The detachment of bilayers containing AuNP clusters occurs at the interface with

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region 3 (devoid of AuNP), during hydration or the successive extrusion cycles. LNAs with small

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AuNP clusters are formed from region 2 (AuNP clusters are not large enough to form fully packed

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LNAs on their own due to high curvature limitations). Additionally, due to clustering, isolated

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AuNP inclusions in LNAs (Figure 2F) were rarely observed.

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Bilayer Thickness from SANS. The average bilayer thickness was determined by small

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angle neutron scattering (SANS) spanning temperature ranges from 40 oC to 60 oC for the pure

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liposomes and all LNAs in D2O (solvent). SANS spectra were collected over a q range of 0.003

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Å-1 ≤ q ≤ 0.523 Å-1 and bilayer thickness was determined by fitting the scattering data to a spherical

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vesicle model61 over a q range of 0.02 Å-1 ≤ q ≤ 0.523 Å-1 as shown in Figure 3 (Data fitting and

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analysis details in Supplementary Information S6). SANS provides an ensemble averaged bilayer

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thickness for all liposomes and LNAs. The measured bilayer thickness should be interpreted

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qualitatively only due to the presence of various AuNP distributions in the bilayer. An increase in

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bilayer thickness was observed for all liposomes on transitioning from fluid phase to gel phase as

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observed previously31,

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temperature. Pure liposome bilayer thickness increased from 3.8 nm (60oC) to 4.3 nm (40oC)

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across the transition temperature of 41oC (Figure 3B). Changes in bilayer thickness for LNAs with

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low and high concentrations of 3 nm AuNP was not significantly different from pure liposomes.

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However, 3.8 nm AuNP LNAs showed an increase in bilayer thickness compared to pure

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liposomes at both concentrations as evidenced by the SANS spectra shift towards low-q for 3.8

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nm AuNP LNAs (Supplementary Information Section S6). Cryo-TEM image analysis

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demonstrated that completely packed LNAs were smaller in size than the LNAs with AuNP

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clusters and bare liposomes in the same sample. In addition, statistical analysis of cryo-TEM

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images yielded a > 80% population of LNAs with small AuNP clusters and bare liposomes. To

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obtain a true statistical analysis of the sample population, SANS spectra were analyzed in the

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intermediate to low q regime. No distinguishing features were observed between spectra obtained

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from pure liposomes and LNAs in the low and intermediate q regime. The spherical vesicle model

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fit was extended to intermediate and low q regime and yielded similar overall diameters for pure

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liposomes and LNAs (≈ 90 nm mean liposome diameter). Unlike statistical analysis of cryo-TEM

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images which is subjected to imaging biases, SANS demonstrates the prevalence of LNAs with

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small AuNP clusters and bare liposomes with a negligible population of completely packed smaller

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liposomes. However, analyzing LNA size distribution through SANS should be approached with

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caution due to investigation of a limited low-q region.

62-64

, which is attributed to greater lipid ordering below transition

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o

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Figure 3. (A) SANS curves for pure liposomes and LNAs in fluid phase (60 C); curves have been offset by amounts mentioned in the plot for visual clarity. (B) Bilayer thickness calculated at different temperatures from spherical vesicle model fit of scattering data. Error bars represent one standard deviation from the mean. Dashed lines are for visual aid only.

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Dynamic Light Scattering. Overall liposome motion can be classified into liposome

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translational motion due to diffusion and shape fluctuation motions (bending, etc.). Translational

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motion can be effectively measured at the appropriate q range using DLS which yields the

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exponentially decaying autocorrelation function g2 (t) 65:

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𝑔𝑔 2 (𝑡𝑡) = 𝐵𝐵 + 𝛽𝛽 𝑒𝑒𝑒𝑒𝑒𝑒 (−2𝛤𝛤𝑇𝑇 𝑡𝑡)

(1)

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where B is the autocorrelation baseline at infinite delay, β is the correlation function amplitude

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and decay rate ΓT is related to diffusion constant (DT) as:

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𝛤𝛤𝑇𝑇 = 𝐷𝐷𝑇𝑇 𝑞𝑞 2

207 208 209

(2)

Pure liposome and LNA hydrodynamic radius (Rh) can be directly calculated from the StokesEinstein equation: 𝑘𝑘 𝑇𝑇

𝐵𝐵 𝑅𝑅ℎ = 6𝜋𝜋𝜋𝜋𝐷𝐷 ,

(3)

𝑇𝑇

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where T is the temperature, kB is the Boltzmann constant and η is the viscosity of D2O (function of

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temperature). Autocorrelation curves demonstrates nearly identical decay pattern at 25 oC for pure

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liposomes and LNAs (Supplementary Information, Section S7). Decay curve is described by a

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single exponential decay which confirms a narrow LNA size distribution. This further corroborates

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our assumption that smaller, completely-packed LNAs are a negligible population. LNAs are

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primarily similar in size as pure liposomes. Diffusion coefficients obtained from fitting the

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autocorrelation curve to Equation 1 and 2, depicts similar DT at 25 oC (0.47 Å2 ns-1 for pure

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liposomes vs ~0.44 Å2 ns-1 and 0.43 Å2 ns-1 for 3 nm AuNP LNAs and 3.8 nm AuNP LNAs

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respectively). DT corresponds to a hydrodynamic radii of ~ (40, 44 and 45) nm for pure liposomes,

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3 nm AuNP LNAs and 3.8 nm AuNP LNAs respectively based on Equation 3 (Supplementary

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Information, Figure S7). DT has been measured at very dilute lipid concentrations through DLS at

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25 oC. Accurate determination of DT at NSE concentrations cannot be investigated through DLS

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and actual DT lies between 0 < DT (Actual) < DT (DLS). Similarly, DT at various temperatures have been

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estimated based on Equation 3 and solvent viscosity changes and does not represent diffusion

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coefficients accurately, existing at temperature and concentration conditions during NSE

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experiments.

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NSE Measurements of Bilayer Bending Modulus. NSE was used to measure normalized

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intermediate scattering functions (ISF) I(q, t)/I(q, 0) (q and t represent wave vector and Fourier

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time, respectively) over a q range of 0.039 Å-1 to 0.1 Å-1 and Fourier time up to 100 ns with neutron

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wavelengths of 8 Å and 11 Å. For pure membrane undulations (assuming no translational

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diffusion), Zilman-Granek (ZG) model66 for single membrane fluctuations describes the bending

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fluctuations in a membrane as:

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𝐼𝐼(𝑞𝑞,𝑡𝑡)

𝐼𝐼(𝑞𝑞,0)

2

= exp[−(𝛤𝛤𝑏𝑏 𝑡𝑡)3 ]

(4)

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234 235 236 237 238 239

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where Γb is the bending relaxation rate given by:

𝛤𝛤𝑏𝑏 =

1

𝑘𝑘 𝑇𝑇 2 𝑘𝑘 𝑇𝑇 0.025𝛾𝛾 � 𝐵𝐵𝜅𝜅� � � 𝐵𝐵𝜂𝜂 � 𝑞𝑞 3

= 𝛤𝛤𝑍𝑍𝑍𝑍 𝑞𝑞 3

(5)

where 𝜅𝜅̃ is the effective bending modulus, η is the solvent viscosity (D2O viscosity as a function of temperature in this work), kB is the Boltzmann constant, T is the temperature and 𝛾𝛾 approaches

unity when 𝜅𝜅̃ ≫ 𝑘𝑘𝐵𝐵 𝑇𝑇 . On incorporating intermonolayer frictions67-68 into the ZG model as

proposed by Watson and Brown,69 the effective bending modulus 𝜅𝜅̃ , can be substituted by intrinsic bending modulus κ, given by 𝜅𝜅̃ = 𝜅𝜅 + 2ℎ2 𝑘𝑘𝑚𝑚 where h is the height of neutral surface from bilayer

241

mid-plane and km is the monolayer area compressibility modulus. km is further depicted as 𝑘𝑘𝑚𝑚 =

242

denoted as hc.70 As discussed in an earlier paper71, monolayer bending modulus can be expressed

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243 244 245 246

12𝜅𝜅𝑚𝑚 /ℎ𝑐𝑐2 , where 𝜅𝜅𝑚𝑚 is the monolayer bending modulus and monolayer hydrocarbon thickness is ℎ

2

as bilayer bending modulus as 𝜅𝜅𝑚𝑚 = 𝜅𝜅/2, which yields 𝜅𝜅̃ = 𝜅𝜅(1 + 48 �2ℎ � ), and an assumption 𝑐𝑐

of h/2hc = 0.5 to consider the neutral surface is at the hydrophobic-hydrophilic interface leads to 𝜅𝜅̃ = 13𝜅𝜅. Equation 5 has thus been used in the following form to calculate the intrinsic bending modulus:

1

𝑘𝑘 𝑇𝑇 2 𝑘𝑘 𝑇𝑇 0.0069 � 𝐵𝐵𝜅𝜅 � ( 𝐵𝐵𝜂𝜂 )𝑞𝑞 3

= 𝛤𝛤𝑍𝑍𝑍𝑍 𝑞𝑞 3

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𝛤𝛤𝑏𝑏 =

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Figure 4A shows a typical NSE decay curve for 3 nm AuNP LNAs (high) when no translation

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diffusion is taken into account. NSE decay curves are fit to Equation 4 to yield a bending decay

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rate which demonstrates a q3 dependence in the whole q range.

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Figure 4. Typical normalized intermediate scattering function (ISF) at different q for 3 nm o AuNP LNAs (high) at 60 C for (A) No translational diffusion assumed; solid lines are fit to Equation 4. (B) Effect on ISF due to 3 nm AuNP inclusions (high) relative to pure liposomes o at 60 C (No diffusion, solid lines fit to Equation 4). Errors in all figures represent one standard deviation from the mean.

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Figure 4B shows a direct comparison of AuNP inclusion effect (3 nm AuNP high conc.)

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on the DPPC/DPPG lipid bilayer I(q, t)/I(q, 0) at two q values at 60 oC. AuNP inclusions lead to

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slightly larger relaxation rates (slightly faster relaxation of bilayer bending) compared to pure

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liposomes, which is a clear indication of membrane softening according to ZG theory. NSE yields

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an ensemble average bending moduli for all LNAs (fully packed LNAs, partially packed LNAs,

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and vacant liposomes) and should be qualitatively interpreted with respect to pure liposome

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bending modulus. Figure 5 shows the bending modulus calculated for all LNAs above the bilayer

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transition temperature (summarized in Table 2). The bending modulus measured for the pure lipid

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bilayer in the current work at 60 oC (≈ 14.7 kBT) is comparable to the bending modulus obtained

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for pure DPPC bilayer (≈ 9.5 kBT) at 60 oC previously by NSE51 and low angle X-ray spectroscopy

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(≈ 16.3 kBT).72 The bending modulus is an order of magnitude higher at temperatures near and

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below the transition temperature (Figure 5 inset). This is expected as bilayer stiffening occurs due

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to greater lipid ordering in the gel phase than in fluid phase.51, 71, 73 3 nm AuNP LNAs (high) show

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an average 15% reduction in bending modulus relative to pure liposomes in the fluid phase. Change

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in bending modulus was insignificant for 3 nm AuNP LNAs (low) in the fluid phase. 3.8 nm AuNP

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LNAs however, shows ca. 15% bending modulus reduction at both low and high AuNP loadings

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in the fluid phase. No bending modulus hysteresis was observed on reheating the 3 nm AuNP

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LNAs (high) from gel phase to fluid phase, thus ruling out any hysteresis on membrane elastic

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properties upon phase transition. NSE decay data must also be analyzed by taking translational

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diffusion into account. However, incorporating diffusion contributions as measured through DLS

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(at extremely dilute lipid concentrations) does not present an accurate analysis of the NSE data.

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This account has been presented in detail in Supplementary Information, Section S8. Figure S8

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depicts similar membrane softening as observed in Figure 5. On accounting for DT, membrane

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softening in 3 nm AuNP LNAs (low) is also resolved. Bending moduli depicted in Table 2 (in

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parenthesis) demonstrates an extreme value, absolute value lies between the two extreme cases as

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summarized in Table 2.

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Pure Liposomes 3 nm AuNP LNAs (low) 3 nm AuNP LNAs (high) 3.8 nm AuNP LNAs (low) 3.8 nm AuNP LNAs (high)

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κ (kBT)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

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16 14 12 50

52

54

56

58

60

T (oC)

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Figure 5. Intrinsic bending moduli κ of pure DPPC/DPPG liposomes and LNAs assuming no diffusion contribution to NSE decay. Inset shows bending moduli over fluid and gel phase. Dashed lines are for visual aid only. Error bars represent one standard deviation from the mean.

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Table 2. Bilayer thickness (d) measured from SANS data and bending o modulus (κ) at 60 C obtained from NSE measurements (values in parenthesis depict bending modulus when translational decay contributions are applied). Errors represent one standard deviation from mean.

279 280

NSE findings demonstrate both AuNP concentration and AuNP size have a significant

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impact on lipid bilayer bending modulus. However, the impact of AuNP diameter in bending

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modulus reduction appears more prominent as seen in case of 3.8 nm AuNP LNAs. A qualitative

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assessment of the bilayer area compressibility modulus (KA) with AuNP inclusions was conducted,

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based on SANS thickness measurements and bending modulus obtained from NSE. Bilayer

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bending results in compression and stretching of the lipid leaflets and can be described as a thin

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elastic sheet model relating κ and KA.74 Bending modulus κ is directly proportional to area

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compressibility modulus KA as:

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𝐾𝐾𝐴𝐴 = 𝛽𝛽𝛽𝛽/(2ℎ𝑐𝑐 )2

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(8)

where hc is the monolayer thickness and β is a coupling constant that depends upon the degree of

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coupling between the two monolayers. β ranges from 12 (strong coupling between monolayer

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leaflets) to 48 (no coupling and leaflets can slide freely).75-76 Increase in hydrophobic thickness

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and reduction in bending modulus implies a drastic reduction in bilayer compressibility modulus

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KA for LNAs from Eq. 8. Definitive quantification of KA was not undertaken due to insufficient

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knowledge about the change in β in the presence of inclusions. Decrease in KA is a clear indicator

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of an increase in thickness fluctuation dynamics49 in lipid bilayer which plays a pivotal role in

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membrane protein functioning77 and enzyme catalysis78. Thickness fluctuation dynamics

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measurement with AuNP inclusions in tail deuterated lipid bilayers is a potentially interesting

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study to quantify thickness fluctuation dynamics, amplitude and membrane visco-elastic

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properties.49, 71, 79

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Decrease in bilayer bending modulus (decrease in area compressibility modulus) with

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AuNP inclusions can be explained based on contribution from multiple possible factors. It has

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been previously shown that bending modulus is directly related to bilayer thickness.80-81 However,

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in the present case, the average bilayer thickening is a result of membrane unzipping to situate the

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AuNP/ AuNP cluster inclusion in the bilayer core. However, coupling between monolayers should

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be severely compromised on introducing isolated AuNP inclusions or cluster inclusions.

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Additionally, theoretical80 and X-ray diffraction82 studies on surfactant lamellas have

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demonstrated dramatic decreases in bending modulus with increasing area per molecule (bulkier

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head groups for surfactants). Increased area per molecule directly implies a less confined chain

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and smaller loss of conformational entropy during lamellar bending. Similarly, total bilayer

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volume in the vicinity of AuNP and AuNP cluster inclusion is greatly increased, but number of

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lipids in the specific volume remains constant. Thus, increase in bilayer volume can be

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compensated only through stretching and conformation change of lipid tails, in other words

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increasing the area per lipid. Previous researchers64, 83 have well documented the phenomena of

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increasing area per lipid with increasing temperature (transition from gel to fluid phase). The

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AuNP inclusions can thus be envisioned to generate higher local fluidity compared to the bulk

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bilayer leading to an average bilayer softening. It has been shown previously, that small alkyl chain

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additives at relatively low mole fractions can cause substantial reduction in bending modulus.80-81

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AuNP inclusions in the present research is functionalized with small alkyl chain dodecanethiol,

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which might substantially contribute towards disrupting conformational packing, leading to

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membrane softening.

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CONCLUSION

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An investigation into effects of hydrophobic AuNP inclusions on lipid bilayer bending

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modulus was conducted through NSE spectroscopy. AuNPs with average diameters of ~ 3 nm and

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~ 5.5 nm were embedded into DPPC/DPPG lipid bilayers. It was observed that AuNPs above a

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particular threshold diameter were not included in the DPPC/DPPG lipid bilayer, resulting in

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decreased loading efficiency for larger AuNPs. Non-homogeneous lipid and AuNP mixing during

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dry film formation leads to apparently bare, partially packed and completely packed LNAs.

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Average LNA bilayer thickening was observed depending on size and concentration of AuNP

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inclusions. On investigating LNA membrane dynamics with NSE spectroscopy, a general

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membrane softening was observed relative to pure liposomes which manifested in the form of

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reduced bending modulus. AuNP concentration and AuNP size were both factors in determining

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magnitude of membrane softening. On considering translational contribution to NSE decay,

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similar bilayer softening trends are retained. Our experimental results qualitatively point towards

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a decrease in area compressibility modulus and subsequently an increased thickness fluctuation

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dynamics. We demonstrate NSE to be a crucial tool in determining inclusion effects on membrane

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dynamics and mechanical properties. These studies have potential implications for membrane

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biophysical characterization and designing innovative drug delivery vehicles.

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EXPERIMENTAL METHODS

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Materials.

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Hydrogen tetrachloroaurate (HAuCl4.3H2O, 99.9% purity), dodecanethiol (