Abstract
Lipid nanoparticles (LNPs) containing ionizable aminolipids are among the leading platforms for the successful delivery of nucleic-acid-based therapeutics, including messenger RNA (mRNA). The two recently FDA-approved COVID-19 vaccines developed by Moderna and Pfizer/BioNTech belong to this category. Ionizable aminolipids, cholesterol, and DSPC lipids are among the key components of such formulations, crucially modulating physicochemical properties of these formulations and, consequently, the potency of these therapeutics. Despite the importance of these components, the distribution of these molecules in LNPs containing mRNA is not clear. In this study, we used all-atom molecular dynamics (MD) simulations to investigate the distribution and effects of the Lipid-5 (apparent pKa of the lipid nanoparticle = 6.56), a rationally designed and previously reported ionizable aminolipid by Moderna, on lipid bilayers [Mol. Ther.2018, 26, 1509–1519]. The simulations were conducted with half of the aminolipids charged and half neutral approximately to the expected ionization in the microenvironment of the LNP surface. In all five simulated systems in this work, the cholesterol content was kept constant, whereas the DSPC and Lipid-5 concentrations were changed systematically. We found that at higher concentrations of the ionizable aminolipids, the neutral aminolipids form a disordered aggregate in the membrane interior that preferentially includes cholesterol. The rules underlying the lipid redistribution could be used to rationally choose lipids to optimize the LNP function.
1. Introduction
Recent biopharmaceutical advances in messenger RNA (mRNA)-based therapeutics have created new opportunities to employ mRNA as a drug.1−5 Engineered mRNAs are delivered as cargo to target cells, causing them to express proteins which can be used in treatment of genetic diseases, for gene editing, or as vaccines (e.g., SARS-COV-2 mRNA-based vaccines).6−8 The successful clinical application of mRNA-based therapeutics requires efficient intracellular delivery of mRNA to the cytoplasm of target cells, enhancing the expression of desired proteins.9 In vivo delivery of naked mRNA results in poor cellular internalization, rapid degradation, and fast renal clearance.10 Lipid nanoparticles (LNPs) are nonviral vectors extensively employed in therapeutic applications of mRNA delivery.11−14 LNPs have been developed to protectively encapsulate and deliver mRNA to target cells.13,15,16
LNPs are complex structures, generally consisting of (1) a phospholipid, providing structure to LNP, (2) cholesterol, enhancing LNP stability, and (3) an ionizable lipid, capturing the mRNA (4) and PEG lipids, prolonging the stability in the bloodstream. The presence of ionizable lipids facilitates cellular uptake and endosomal escape of mRNA to the cytoplasm.13,17 Ionizable aminolipids are titratable molecules that can be charged or neutral at different pH values.18−20 Encapsulation of the negatively charged mRNA in LNPs is achieved by generating a mRNA–lipid mixture at acidic pH, where the ionizable aminolipids are positively charged and favor charge-driven interactions with mRNA.15,19 After the encapsulation process, the pH is raised above the LNP’s pKa value, resulting in a near-neutral surface charge, which is desirable for clinical applications.15,19,21 Investigations of the LNP assembly process have shown that changing the buffer pH alters the protonation state of the aminolipids and plays a key role in mRNA encapsulation.22 Cryo-transmission electron microscopy (cryo-TEM) images revealed that the chemical structure and the proportion of the ionizable aminolipids extensively affect the size and morphology of the LNPs.23,24 In this work, we have used molecular dynamics simulations to understand the relationship between the amount of aminolipids in the LNP and the LNP surface characteristics.
Due to the importance of ionizable aminolipids in the assembly process and final properties of LNP, advances in mRNA therapeutics require a major focus on optimizing the chemical structure of ionizable aminolipids and the proportion of different lipids used in LNP assembly.19,24,25 With a new series of novel ionizable lipids, Moderna has shown in previous work the improvement of mRNA endosomal escape and sustained safety for LNP-based delivery of mRNA.14,19,23,24 In addition, employing the novel ionizable aminolipids in LNP construction and assembly leads to improved biodegradability and maintaining immune titers for mRNA therapeutics.14,19 Here, we focus on the novel ionizable aminolipid identified as Lipid-5 in our previous study.19 Lipid-5 contains a titratable nitrogen atom connected to two saturated and esterified branched and unbranched chains (see Figure 1B).19 Lipid-5 is a pH-sensitive molecule (apparent pKa of LNP = 6.56), whose protonation and deprotonation are necessary for efficient encapsulation and endosomal escape of mRNA.19 Lipid-5 is an ionizable aminolipid extensively used for delivery of therapeutic mRNAs to the liver.19 This lipid is an integral part of the LNPs that deliver mRNAs to treat methylmalonic acidemia, arginase deficient liver disorder, Fabry disease, galactose sensitivity, and hemophilia in mouse models.26−30 Although the critical role of Lipid-5 in LNP structure and properties has been a point of focus of several investigations,24 molecular interactions between Lipid-5 and other LNP’s components and the specific role of this ionizable aminolipid on the membrane surface are not clear.
Molecular dynamics (MD) simulation is a technique used to provide insights, with atomistic resolution, on the structure and dynamics of a wide variety of biomolecular systems of pharmaceutical interest, including biological membranes and lipid-based drug delivery systems.31,32 Due to the large computing resources required for all-atom molecular dynamics simulations of large biomolecular systems, the lipid bilayer model is often used as a section from LNP surfaces in MD simulations. The bilayer model can be complex and composed of various lipid molecules, e.g., phospholipids, sphingolipids, and sterols.33 Previous simulations of a system containing the ionizable aminolipid DLinKC2-DMA (KC2), a phospholipid, cholesterol, a poly(ethylene glycol) (PEG) lipid, and siRNA in conjunction with cryo-TEM and H NMR revealed that the core of the LNP consists of a mixture of ionizable aminolipids, cholesterol, and phospholipids interacting with RNA.34 Additionally, this study revealed that upon increasing the pH during the LNP formulation process, KC2 confinement at the hydrophobic core of the bilayer could result in rearrangement of the internal structure of the LNP.35 An all-atom MD simulation of a membrane bilayer containing DLin-MC3-DMA (MC3) and DOPC or DOPE suggested that DOPE-MC3 intermolecular interactions have higher affinity than DOPC-MC3 interactions. They also showed that MC3 molecules segregate at the surface of the membrane and that lipid molecules diffuse more slowly in the MC3-DOPE membrane system.36 Another study by Park et al. developed a protocol to build lipid bilayers containing particular ionizable lipids and PEG lipids in addition to other lipids already available in CHARMM-GUI web server.37 This study investigates the effects of PEG lipids on the lipid bilayer system using molecular dynamics simulations.37
Despite several MD simulation-based investigations of other ionizable aminolipids, the impacts of changing the molar ratio of aminolipid-to-phospholipid in a lipid bilayer system has not been characterized previously.35−37 We also developed a protocol in this work to incorporate any novel ionizable lipid into the lipid bilayer system as a starting structure for MD simulations. The present work is also the first time we investigate the impact of Lipid-5 in a lipid bilayer system. Here, we use all-atom MD simulations to study the role of Lipid-5 in shaping the characteristics of five ternary membrane bilayers containing different compositions of Lipid-5, phospholipids, and cholesterol.
Our simulations predict that protonated Lipid-5 molecules are largely found on the surface, while the neutral molecules partition to the hydrophobic core of the bilayer. Several properties of membrane bilayer systems were monitored and characterized throughout the simulations, suggesting that populating the bilayer with Lipid-5 (1) induces aggregation of neutral and protonated ionizable aminolipids in the hydrophobic core and on the surface of the bilayer, respectively, (2) increases membrane fluidity, and (3) increases the partitioning of cholesterol into the hydrophobic core of the bilayer. We hypothesized that the core of the LNP is composed of mostly neutral ionizable aminolipids and cholesterol for ethanolamine ionizable aminolipids. The finding of this investigation can be employed in designing an appropriate lipid composition for LNPs in mRNA therapeutics to optimize LNP interactions with the cell membrane, endocytosis, endosomal escape, and fluidity of the LNP surface.
2. Methods
2.1. Lipid-5 Insertion Algorithm
The ionizable aminolipid used in this study, Lipid-5, does not exist in CHARMM-GUI’s38,39 lipid libraries, which led us to develop an insertion algorithm to incorporate Lipid-5 in our bilayer systems (Figure 1A). The initial development of this algorithm was inspired by the Membrane Mixer module of VMD, in which a new workflow was proposed for fast lipid mixing in MD-modeled bilayers.40
The algorithm developed here applies a volumetric repulsive potential, known as grid potential, to reduce steric clashes between Lipid-5 and other components of the simulation box and contains the following steps:
-
(1)
We start by constructing an initial equilibrated bilayer, without Lipid-5, employing available tools, e.g., CHARMM-GUI or Optimal Membrane Generator (OMG), a package of LOOS (Figure 1A, top left corner).38,39,41
-
(2)
The algorithm selects a number of lipid molecules present in the initial structure and to be replaced by ionizable aminolipids. This selection is random, and the number of selected lipid molecules in each leaflet depends on the final desired proportion of ionizable aminolipids, Lipid-5 in this case, specified by the user. Furthermore, in the case of heterogeneous lipid bilayers users can specify which lipid type should be selected and replaced by the insertion algorithm (Figure 1A, top right corner).
-
(3)
Repulsive grid potentials at the place of the selected lipid molecules are generated from the previous step. The grid potentials resemble the cylindrical shape of the Lipid-5 molecule with the tails pointing toward the hydrophobic core of the membrane and the headgroup exposed to water (Figure 1A, top right corner).
-
(4)
We run MD with the grid potentials to make room for the soon to be inserted Lipid-5 molecules into the bilayer. We mention that the grid potentials are not applied to the selected lipid molecules in step 2, and they just shape the environment surrounding each selected lipid as if there is a Lipid-5 molecule located there (Figure 1A, top right corner).
-
(5)
The selected lipid molecules are replaced with Lipid-5 (Figure 1A, bottom right corner).
-
(6)
The grid potential is removed gradually, making sure the lipid bilayer has sufficient amount of packing. In order to achieve this goal, the algorithm linearly decreases the force constant of the grid potential in eight steps; the first and last steps are simulated with the original force constant employed in step 4 and no grid potential, respectively (Figure 1A, bottom left corner). Furthermore, this step contains a procedure, which was developed previously, to remove any possible ring piercing of the cholesterol molecules.40,42
The algorithm is implemented as a tcl script in VMD and takes advantage of several MD simulation/analysis packages.42 The construction of the new system with ionizable aminolipids as well as the insertion process itself is conducted with VMD and AmberTools ver. 20.42,43 The grid potentials are generated using the molecular dynamics flexible fitting (MDFF) plugin of VMD with resolution and spacing of 6 and 0.8 Å, respectively.44
2.2. Construction and Parametrization of the Ionizable Aminolipid, Lipid-5
Heptadecan-9-yl 8-((2-hydroxyethyl)(8-(nonyloxy)-8-oxooctyl)amino)octanoate, referred to here as Lipid-5, contains a nitrogen atom that is connected to two saturated chains (Figure 1B). The nitrogen atom of Lipid-5 is titratable (apparent pKa of LNP = 6.56) and can be protonated or neutral, causing the net charge of Lipid-5 to be +1 or 0, respectively.19 This implies Lipid-5 will be gaining and losing a proton quickly in solution. Because molecular dynamics simulations cannot emulate bond formation or bond cleavage, we consider a racemic mixture of Lipid-5 with the titratable nitrogen as the chiral center in our system. Hence, we constructed three different structures for Lipid-5 using Schrödinger LigPrep ver. 2021-4 and OpenBabel ver. 3.1.0.45,46 We then parametrized each ionizable aminolipid structure employing Ambertools ver. 20 and Generalized Amber Force Field (GAFF2).43,47,48
2.3. System Preparation
The initial membrane bilayer system consisting of 1,2-distearoyl-sn-glycero-3-phosphocholine (DSPC) and cholesterol was constructed, solvated, and ionized with 150 mM NaCl, employing CHARMM-GUI.39,49 Initially, the lipid bilayer was equilibrated in two different steps: (1) restraining lipid headgroups in the direction of the membrane normal for 1.125 ns and (2) 1 ns equilibration without any restraints. The relaxed lipid bilayer system was then passed to the insertion algorithm for incorporating different proportions of Lipid-5.
Five different systems were constructed from the original bilayer system with Lipid-5 occupying 10, 20, 30, 40, and 50% of the population of the lipid molecules and replicated three times using the Insertion algorithm discussed in Section 2.1. In order to avoid any bias generated by the initial configuration of lipids, each replica was constructed independently, using the insertion algorithm. In all the prepared systems, a certain number of DSPC molecules were replaced by Lipid-5 (based on the desired proportion of Lipid-5 in the final bilayer structure), keeping the cholesterol concentration constant (40%). At step 4 of the insertion algorithm, each system was equilibrated for 10 ps. Removing the grid potentials (step 6) was conducted in 50 ps. After the incorporation of Lipid-5 into bilayers, each system was run for 3 μs without any biasing potentials (Table S1).
2.4. Simulation Protocol
The MD simulations described here were conducted employing the NAMD3 software package.50,51 The AMBER Lipid 17 parameters were employed for DSPC and cholesterol molecules. We used the sodium and chloride ions parameters from Li-Merz OPC-HFE parameters for monovalent ions, and we used the TIP3P water model.47,48,52,53 We used GAFF to parametrize Lipid-5, and we parametrized both the neutral and the charged ionizable aminolipid separately, using the antechamber tool.48 A 9 Å cutoff was used for short-range nonbonded interactions. Long-range electrostatic interactions were calculated using the particle mesh Ewald (PME) method54 with a grid density of 1 Å–3 and a spline interpolation order of 6. All bonds involving hydrogen atoms were kept rigid employing the SETTLE algorithm.55 The temperature was set to 310 K by using a Langevin thermostat with a damping coefficient of 1.0 ps–1. The pressure was Langevin piston barostat (period: 50 fs; decay: 25 fs).56,57 All of the simulations were run in a flexible cell, allowing the dimensions of the periodic cell to change independently while keeping the aspect ratio in the x–y plane fixed. The simulation box size was initially set to 125 Å × 125 Å × 90 Å. The simulation time step was set to 2 fs. Lennard-Jones and PME forces were updated every and every other timesteps, respectively. During the system construction, biased simulations with grid potentials were performed using the grid-steered MD module in NAMD.58 MD trajectories were visualized with VMD.42 Each system (with a certain lipid composition) was independently constructed three times, using our developed technique to avoid any bias from the initial configuration of lipid molecules. Each membrane bilayer was then simulated for 3 μs, generating 9 μs of sampling for each lipid composition and cumulative simulation time of 45 μs for all the systems.
2.5. Analysis
All the analyses are performed over the last 1 μs of each trajectory, using VMD ver. 1.9.4, LOOS ver 3.0.0, and MDAnalysis ver. 1.1.1.42,59,60 The error bars represented in some of the analyses are standard deviations between the replicates of each system. The reported values and distributions for scaled mass densities, lipid orientation angles, lipid order parameters, cholesterol partition coefficients, and total area of the bilayers are averaged over all three replicates, where the lipid aggregation analyses were performed separately for each replicate.
2.5.1. Scaled Mass Density
The scaled mass density along the membrane normal was calculated for the titratable nitrogen atoms for protonated and neutral Lipid-5. In this calculation, the simulation box is divided into different slices in z, 1.4 Å apart from each other. The population of nitrogen atoms in each slice is counted, and the highest value in each distribution is scaled to one. We used the MDAnalysis60 and LOOS41 to perform this calculation.
2.5.2. Crossing Angles
We computed crossing angles between adjoining ionizable aminolipid’s unbranched tails to quantify the internal structure of the membrane surface as shown in Figure 3C. We used the cross_dist tool in LOOS to calculate the probability distribution of the cosine of the crossing angles with a 10 Å cutoff and 25 bins.41
2.5.3. Lateral Radial Distribution Function
We computed the two-dimensional lateral radial distribution function in the membrane plane for the centroids of the protonated ionizable lipids with a resolution of 1 Å, using the LOOS tool xy_rdf.41
2.5.4. Orientation Angle and Modified Order Parameter
The orientation angle of Lipid-5 molecules, θ, is defined as an angle between a vector starting from the center of mass of two oxygen atoms on the tail of Lipid-5 and passing through the nitrogen atom located at the head with respect to the membrane normal. DSPC orientation angle is defined as the angle between a vector starting from the center of mass of the tail and passing through the headgroup center of mass of the lipid molecule with respect to membrane normal.
The modified order parameter for the whole Lipid-5 as well as DSPC molecule is calculated using the following equation:
1 |
where θ is the orientation angle.
2.5.5. Lipid-5 Aggregation at the Core and on the Surface of the Bilayer
In order to capture any aggregation of protonated and neutral Lipid-5 at the core and on the surface of the bilayer, respectively, we obtained spatial distributions of the titratable nitrogen atoms of the Lipid-5 molecules. Projection of the coordinates of neutral Lipid-5 into the x–z plane was employed to quantify Lipid-5 aggregation at the core, whereas 2D projection of protonated Lipid-5 mass distribution into the x–y plane (in membrane plane) for both bilayer leaflets was used to quantify Lipid-5 aggregation on the surface of the bilayer. We used the MDAnalysis60 Python library to estimate these quantities.
2.5.6. Cholesterol Core–Surface Partitioning
The cholesterol core–surface partitioning is defined as a ratio between the number of cholesterols on the surface and at the hydrophobic region of the bilayer and calculated using the following equation:
where the surface presented cholesterols are defined as those within 10 Å of the bulk solution.
Estimation of Lipid Clustering
Lipid clustering is performed using DBSCAN61 with radius and minimum number of cluster chosen to be 5 Å and 50, respectively.
3. Results and Discussion
3.1. Lipid-5 Partitioning into the Bilayer
In the course of the simulations performed for all the bilayer systems with different proportions of Lipid-5, we observed that protonated Lipid-5 has a tendency to stay on the surface of the bilayer (Figures 2A and 6, molecules shown in red) alongside the DSPC lipid molecules (Figures 2A and 6, molecules shown in orange). This observation was expected because the +1 charge in Lipid-5 increases the hydrophilicity of the molecule, keeping it on the surface of the bilayer and inducing interactions with water and anions. In contrast, the deprotonated Lipid-5 tends to partition into the hydrophobic core of the bilayer (Figures 2 A and 6, molecules represented in cyan), sandwiching between the upper and lower leaflets consisting of DSPC, cholesterol, and protonated Lipid-5. The lipid conformations on the surface and at the core of the bilayers, captured here, can be representative of the surface and core of LNPs containing Lipid-5, respectively. In order to estimate the relative placement of Lipid-5 molecules in the system, we calculated the scaled mass density for the titratable nitrogen atom of protonated and neutral Lipid-5 along the z-axis (membrane normal) using the method described in Section 2.5.1. Our observation for systems containing 40% Lipid-5 shows that protonated Lipid-5 is found to be 10 to 45 Å from the membrane center and peaking at 25 Å (Figure 2B, red lines), while the neutral Lipid-5 is found to be within 0 to 40 Å from the lipid bilayer center and peaks at the bilayer center (Figure 2B, cyan lines).
From Figure S1, we observe that the mass distributions of ionizable aminolipids for systems with 10, 20, 30, and 50% proportions of Lipid-5 are mostly similar to the ones observed for 40% Lipid-5 proportions with some noteworthy differences. For systems with low populations of Lipid-5 (10 and 20%), the mass distributions for protonated Lipid-5 are quite narrow, indicating that the bilayer surface remains relatively flat (Figure S1). However, increasing the proportion of Lipid-5 gives us a wider mass distribution for protonated Lipid-5, with 50% Lipid-5 having the widest distribution (Figure S1). This can be attributed to the lipid bilayer thickening and bulging, which we observe on the membrane surface as we increase the population of ionizable aminolipids (Figures 2A, 6, and S6). Moreover, the peak corresponding to the highest proportion of neutral Lipid-5 gets narrower at the bilayer center (Figure S1), suggesting that most of the neutral lipids lie in the hydrophobic core of the lipid bilayer. Thus, relatively speaking, increasing the proportion of Lipid-5 in a bilayer enables neutral Lipid-5 molecules to partition more to the hydrophobic core. Interestingly, at lower proportions of the ionizable lipids, the neutral ionizable lipid molecules are also on the lipid bilayer surface. This could be attributed to the hydrophilic ethanolamine polar group. Only when we have a critical amount of neutral lipid molecules is the hydrophobic core formed.
Partitioning of neutral ionizable aminolipids followed by the formation of a hydrophobic layer inside the bilayer has been observed in several earlier studies. For example, molecular dynamics simulations on lipid bilayers containing other ionizable aminolipids revealed that the neutral ionizable aminolipids formed a hydrophobic core inside the bilayer.35,38 Additionally, a study employing cryo-TEM, SAXS, NMR, and molecular dynamics simulations of membrane bilayers to investigate ionizable aminolipids segregation in the presence of POPC lipids suggested that neutral ionizable aminolipids at basic pH form a separate layer of hydrophobic region between the two membrane leaflets that propagates throughout the lipid bilayer, whereas the protonated lipids remain on the surface of the bilayer interacting with POPC molecules.35,38
In our simulations, we did not observe the formation of a complete layer containing only neutral ionizable aminolipids percolating throughout the membrane core; rather, we captured an amorphous droplet of neutral Lipid-5 in the hydrophobic core. Formation of an “amorphous core” in an empty LNP (without mRNA) with other ionizable aminolipids was observed and proposed before by Kulkarni et al. in a cryo-TEM study.62 Cryo-EM image of Lipid-5 containing LNPs has been observed to have a single lamellar region with an amorphous core,24 and we predict through our simulations that the core consists of mostly neutral Lipid-5 molecules while the former consists of DSPC, cholesterol, and Lipid-5. Although these LNPs consisted of mRNA while our simulations are not considering mRNA molecules at the moment, going forward, we are looking into molecular dynamics simulations of incorporating RNA along with the lipid bilayer system. Patel et al. also observed amorphous droplet formed with cholesterol analogues and Lipid-9 containing LNPs17 as well. Lipid-9 and Lipid-5 are both ethanolamine lipids so we also predict that the amorphous droplet in Patel et al. studies also consists of neutral Lipid-9 molecules.17 We believe the proportions of Lipid-5 relative to DSPC and cholesterol employed in our study is not enough to form a separate layer of neutral Lipid-5 at the bilayer center, and that is why we observe the formation of the amorphous oil droplet instead with Lipid-5.
In order to understand the relative conformations of the protonated ionizable aminolipids on the bilayer surface, we computed the crossing angles between the ionizable aminolipids using the method described in Section 2.5.2 and Figure 2C. The probability distribution of the cosine of the crossing angles shown in Figure 2D for the 40% lipid-5 system suggests that the protonated ionizable aminolipids are more likely to be parallel to each other. This was chosen because the probability distribution for cosine of the cross-angles is flat for randomly oriented lipid chains. The neutral ionizable aminolipids approximate a random distribution of crossing angles, suggesting that the neutral lipids are in the hydrophobic core of the lipid bilayers and have a more random orientation with each other. We also computed the probability distribution for crossing angles of Lipid-5 in other systems as well (Figure S2). For lower proportions of ionizable aminolipids in the bilayer, like 10%, Figures S1 and S2 suggest that the neutral lipids are still largely parallel to each other and probably because many of them are on the surface along with the protonated ionizable aminolipids and DSPC molecules. However, when the proportion of ionizable aminolipids reaches 30%, most of the neutral lipids move to the core of the bilayer and assume random orientations with respect to each other. Thus, there is a critical concentration of ionizable aminolipids needed to form this amorphous oil droplet like state.
3.2. Aggregation of Protonated Ionizable Aminolipids on the Surface of the Lipid Bilayer
Our investigations on the structure of membrane bilayers with different proportions of Lipid-5 revealed three different levels of aggregation: (1) low, (2) intermediate, and (3) high. For systems containing 10 and 20% Lipid-5, we observed that neutral ionizable aminolipids are found both on the surface and at the hydrophobic core of the bilayers, while protonated ionizable aminolipids are only on the hydrophilic surface, as shown in Figures 2B, 6, and S1. The distribution of neutral Lipid-5 molecules is likely driven by multiple competing interactions. The curvature implied by Lipid-5’s long hydrocarbon chains and very small polar headgroup suggests it should not be especially stable in a flat leaflet, but transferring a whole molecule into the hydrophobic core requires desolvating the polar ethanolamine group. The latter quantity dominates when the lipid is charged, but once the proton is removed, the desolvation penalty can be overcome.
The cumulative spatial distribution of the titratable nitrogen atom of neutral ionizable aminolipids was projected onto the x–z plane along the course of the simulations in Figures 3 and S3. The first two rows of Figure S3 (simulations with 10 and 20% Lipid-5) suggest that the population of Lipid-5 in these systems in comparison to DSPC and cholesterol molecules is not enough for neutral ionizable aminolipids to aggregate between the two leaflets of the bilayer and cause bulging. Furthermore, the bilayer surface (estimated from the distribution of DSPC phosphorus atoms along the membrane normal) holds its flat shape in these two systems (Figures 3A and S3) with a thickness of 10 Å, indicating that 10 and 20% Lipid-5 populations do not cause any drastic changes in the shape of the bilayer. Figure S3 also suggests that the distribution of the neutral lipids spans the whole bilayer breadth for 10 and 20% ionizable aminolipid-containing systems. Until a critical amount of ionizable lipids is reached, the lipid bilayer remains quite flat.
For protonated ionizable aminolipids, we estimated the positions of the titratable nitrogen using the method described in Section 2.5.5 and estimated the lateral radial distribution function using Section 2.5.3. We found that a lower proportion of ionizable aminolipids form small aggregates on the surface of the bilayer, as evident in Figure 4 (low aggregation). The highly dense regions in Figure 4 (low aggregation) are supported by similar patterns in Figure S4 for the other replicates of the 10 and 20% ionizable aminolipid systems. This observation was also supported by a peak in the lateral radial distribution function shown in Figure 5A for 10% ionizable aminolipids with the distance between the centroids of the lipids of about 10 Å.
Increasing the proportion of Lipid-5 from 10 to 30% changes the behavior of the neutral ionizable aminolipid molecules as well; the neutral Lipid-5 molecules aggregate more in the hydrophobic core of the lipid bilayer, forming small aggregates (Figure 3B) sandwiched between the two lipid layers. This in turn induces some structural changes to the surface of the bilayer, thickening and bulging the bilayer (Figures 3B and S3). The broadening of the lateral radial distribution curves for neutral lipids in Figure 5B also suggests that larger aggregates are formed as the number of ionizable lipids increases. The presence of significant density at zero distance is due to the presence of a nonlamellar aggregate in the center of membrane; the distance calculation is performed in the x–y plane, so the presence of lipids “below” the leaflet shows up as density at small distances. As the fraction of Lipid-5 increases, the first peak in the lateral RDF shown in Figure 5C for neutral and protonated Lipid-5 flattens, showing that the two species do not tend to colocalize. At higher proportions of Lipid-5 (40 and 50%), we observed a high aggregation of neutral Lipid-5 in the hydrophobic core of the bilayers, forming a single large aggregate (Figures 3C and S3).
Furthermore, in 30% Lipid-5 systems, the protonated ionizable aminolipids form more numerous and larger aggregates on the surface of the bilayer in comparison to the low aggregation state (Figures 4, S4, and S5). This is also evident in the lateral radial distribution function (RDF) for the protonated ionizable aminolipids plotted in Figure 5A for 30% ionizable aminolipid systems. With increasing proportions of ionizable aminolipids in the system, the RDF peak broadens, and it happens in all cases when we reach 30% ionizable lipids, suggesting large aggregate formation as well as a transition from smaller aggregates to larger aggregates.
For previously published data on LNPs, cryo-EM images indicated that both protonated and neutral lipids are present in the core of the lipid nanoparticles.63 In addition, they claimed protonated ionizable aminolipids along with DSPC and cholesterol form concentric bilayers with the RNA trapped between two consecutive bilayers.63 We observed that protonated Lipid-5 molecules tend to form a single cluster on the surface of the bilayer (Figures 4, S4, and S5) which could be the first layer inside the core of the LNP as observed in the cryo-EM image.24 These results suggest that lipid composition can modulate LNP structure and show that unless we have a certain amount of neutral Lipid-5, we cannot form a stable core of the lipid nanoparticle. However, the simulation results we observe may depend on system size and can be sensitive to the relative population of Lipid-5 with respect to other components in the bilayer and the total number of lipids forming the membrane bilayer.
3.3. Changing Membrane Properties at Different Proportions of Lipid-5
Structural transitions captured at different proportions of ionizable aminolipids affect several surface properties of the membrane bilayer systems simulated in this study. The lipid order parameter (defined in Section 2.5.4) indicates that larger tilt angles of the lipid on the lipid bilayer surface correlate with lower average modified order parameters. Increasing the proportions of Lipid-5 decreases the order of both protonated and neutral Lipid-5. The highest modified order parameter for protonated Lipid-5 is 0.80, captured for systems containing 10% ionizable aminolipids, whereas the lowest value is 0.47, corresponding to systems containing 50% of ionizable aminolipids (Figure 7A red dots and Table S2). Overall, the neutral Lipid-5 molecules tend to have smaller order parameters in comparison to their protonated counterparts (Figure 7A and Table S2). The modified order parameter for neutral ionizable aminolipid is 0.55, which belongs to systems containing 10% of Lipid-5, whereas the lowest value is 0.03 and is measured for systems with 50% Lipid-5 (Figure 7A, cyan dots, and Table S2). This could be also attributed to the random orientation of the neutral Lipid-5 in the hydrophobic core formed at higher proportions of the ionizable aminolipid systems. The modified order parameter is a measure of how lipids with varying structures impact each other. The main reasons for the modified order parameter to be lowered for DSPC molecules and protonated Lipid-5 would be: (a) The Lipid-5 small polar group with branched tails impacts how ionizable aminolipids pack with each other and with DSPC molecules on the surface. (b) Formation of the neutral Lipid-5 aggregate causes bulging of the lipid bilayer, which can cause accumulation of protonated ionizable aminolipids on the surface to release the tension caused by the aggregates. This observation was expected because the geometry and curvature of the bilayer surface change more drastically locally wherever the neutral lipids accumulate.
Similar to that of Lipid-5, the order parameter for DSPC molecules decreases as the bilayers become more populated with ionizable aminolipids. The maximum and minimum value of DSPC order parameters are 0.82 and 0.67, which are captured for systems containing 10 and 50% ionizable aminolipids, respectively (Figure 7B and Table S2). Although the trend of DSPC and Lipid-5 order parameters are similar (the higher the proportion of ionizable aminolipids, the smaller the order parameter), the DSPC order parameter decreases drastically (relatively speaking) as the bilayer transitions to the high aggregation state. This can be attributed to the fact that the modified order parameter measurement uses a global membrane normal instead of the local leaflet normal as the leaflet curves to accommodate the neutral lipids. Hence, we might be observing this change in lipid order because we are not estimating local order parameters. The DSPC and cholesterol molecules also seem to be segregating and appear to occupy the areas on the bilayer surface less populated with protonated Lipid-5 molecules as evident in Figures 6B and 6C. This might also explain why the order parameters vary with Lipid-5 proportions.
Previous MD simulations on LNP assembly and lipid composition of LNP surface and core indicated the existence of cholesterol molecules in the core.38,62 Inspired by this result, we calculated the mass density of cholesterol molecules along the membrane normal as shown in Figure 8A. We observe that at low Lipid-5 density, the cholesterol is almost exclusively found in the leaflets, but at higher densities some of the cholesterol partitions into the interior. In addition, we also estimated the cholesterol core–surface partition coefficient value as defined in Section 2.5.6 (Figure 8B) to monitor the ratio of cholesterol molecules moving to the core of our lipid bilayer systems in different proportions of ionizable aminolipids. Cholesterol core–surface partitioning for systems containing 10 and 20% ionizable lipids is less than 0.01, indicating that all of the cholesterol molecules in these systems remain on the surface of the bilayer in conjunction with protonated Lipid-5 and DSPC molecules (Figure 8B and Table S3). As the proportion of Lipid-5 increases, we observe more cholesterol partitioning to the hydrophobic core of the bilayer (Figures 8B and S8, Table S3). The cholesterol core–surface partition coefficient was measured for systems containing 50% with an average of 0.0223 (Figure 8B and Table S3). Cholesterol partitioning to the hydrophobic core of bilayers containing ionizable aminolipids in our simulations was expected as cholesterol is mostly hydrophobic except for the small polar head, resulting in a modest penalty to partition into the core. Several groups have reported this phenomenon in lipid nanoparticles, but they have not been able to find relationship between cholesterol and increasing proportion of ionizable lipids.64,65 Trollman et al. used all-atom molecular dynamics to demonstrate the partitioning of cholesterol into the membrane interior at high pH. Our results are consistent with theirs, in that the presence of a significant population of neutral Lipid-5 (supplied in our case by a change in composition rather than pH) stabilizes the aggregation of nonlamellar lipids in the membrane interior.66 Here we have shown that for Lipid-5 there is some correlation between increasing the proportion of neutral lipids and cholesterol partitioning to the core. Because cholesterol content is known to modulate membrane surface properties, this could explain why the modified order parameters of the DSPC molecules are impacted as the ionizable aminolipid content changes.67,68
In our simulations, we have observed that increasing the neutral lipid proportion induces the amorphous droplet formation in the hydrophobic core of the lipid bilayer. This causes a bulging of the membrane bilayer surface. Protonated Lipid-5 molecules which have a small polar group (ammonium ion) and highly branched tails occupy the surface of the bilayer, which contains the bulge formed by the neutral ionizable aminolipids. This phenomenon causes the overall lipid bilayer to have a lower order parameter and increases the proportion of cholesterol that accumulates in the hydrophobic core of the lipid bilayer.
We have parametrized Lipid-5 using GAFF2 parameters using an antechamber which has low accuracy.48 Lipids parameters are usually optimized to experiments like surface tension measurements, neutron scattering, and NMR data.69 Although we have not used these methods, our simulations have some intrinsic errors, but we can explain some of our observations with the experiments run for LNPs containing Lipid-5.24
Lipid nanoparticles have a complex structure, and their degree of lamellar phase depends on the chemical structure of the ionizable aminolipid.24 Our lipid bilayers consisting of varying proportions of the ionizable lipids can be representative models for the different lamellar phases found on the surface as well as inside the LNP. The hydrophobic core consisting of Lipid-5 molecules formed in the high aggregation state in our simulations can be a representation of the electron dense core observed in previous investigations with some of them having ionizable lipids that are similar in chemical structure to Lipid-5.17,24,70 Thus, our simulation protocol and the results mentioned here can serve as templates to build structure activity relationships for new ionizable aminolipids.
4. Conclusion
In summary, we developed a computational method to incorporate novel ionizable aminolipids into a lipid bilayer for molecular dynamics simulations. We performed long-time scale MD simulations on ternary bilayer systems containing Lipid-5 (an ionizable aminolipid), DSPC, and cholesterol molecules for 3 μs (with an aggregate simulation time of 45 μs for all the systems). The lipid bilayer systems maintain the same mole fraction of cholesterol (40%), whereas DSPC and Lipid-5 proportions vary from 10 to 50%. The lipid bilayers studied here each contain the same proportion of neutral and protonated Lipid-5, resembling the microenvironment of the LNP surface. The simulations describe how the structure and distribution of the different lipid species vary with composition. In addition, our results suggest that as the neutral ionizable aminolipid proportion increases and reaches a critical amount in the lipid bilayer, the membrane transitions to a high aggregation state (40 and 50% Lipid-5 systems), where we observe a hydrophobic core formed by neutral Lipid-5 and cholesterol molecules which is crucial for imparting stability to the LNP. Characterization of membrane bilayers simulated here shows that populating the lipid bilayer with more Lipid-5 decreases the modified order parameter of the lipid molecules, generating a disordered membrane which can ensure mRNA encapsulation. The curvature change induced by the hydrophobic core causes a significant rearrangement of the lipids on the surface where we observe protonated Lipid-5 aggregating due to the more inverted cone shape of the lipids, facilitating occupation on a more curved surface. The formation of the hydrophobic core in high aggregation systems also causes cholesterol to partition to the core of the LNPs which is also responsible for the observed changes on the lipid bilayer surface. Hence our work provides key insights into the balance imparted by the ionizable aminolipids to the LNP, and their amount and protonation states impact the LNP surface directly. Overall, the finding of this study can be used in deciphering a suitable lipid composition for LNPs in mRNA therapeutics applications as well as provide a deeper understanding of lipid–lipid interactions essential for LNP formation and stability.
Acknowledgments
The authors acknowledge support from Kerry Benenato, Edward Hennessy, Melissa Moore, and Wei Zheng for encouraging us to submit this manuscript. We also acknowledge computing resources provided by the Informatics group at Moderna. We also thank Mohsen Ramezanour, Frank Pickard, Farbod Mahmoudinobar, and Mehtap Isik for helpful discussions and reviewing the paper for us. The funding for this research was provided by Moderna Inc.
Data Availability Statement
All the analysis scripts as well as the insertion algorithm are available at https://github.com/modernatx/ionizable_amino_lipids_distribution.
Supporting Information Available
The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.jpcb.3c01296.
Table S1: Five simulated systems containing the same proportion of cholesterol (40%) and different proportions of DSPC (50 to 10%) and Lipid-5 (10 to 50%); Figure S1: Lipid-5 scaled mass density in different lipid bilayer systems; Figure S2: Lipid-5 orientation angle with respect to membrane normal for different lipid bilayer systems; Figure S3: Neutral Lipid-5 aggregation at the hydrophobic core of the bilayer for different lipid bilayer systems; Figure S4: Protonated Lipid-5 aggregation at the upper leaflet for five different lipid bilayer systems; Figure S5: Protonated Lipid-5 aggregation at the lower leaflet for five different lipid bilayer systems; Figure S6: Molecular images of the membrane bilayer systems viewed from the side for five different lipid bilayer systems; Figure S7: Molecular images of the membrane bilayer systems viewed from the top for five different lipid bilayer systems; Table S3: mean (μ) and standard deviation (σ) of cholesterol partition coefficient for all lipid bilayer systems; Figure S8: Time series of bilayer characteristics in all five different systems with different proportions of Lipid-5 (PDF)
Author Contributions
All the authors contributed to brainstorming and designing the simulations. S.D. performed the simulations, analyzed the data, and wrote the first draft of the manuscript. All the authors revised the manuscript.
The authors declare the following competing financial interest(s): M.S. and S.S. are employees of Moderna Inc. and hold equities from the company.
Special Issue
Published as part of The Journal of Physical Chemistry virtual special issue “Early-Career and Emerging Researchers in Physical Chemistry Volume 2”.
Supplementary Material
References
- Hajj K. A.; Whitehead K. A. Tools for translation: non-viral materials for therapeutic mRNA delivery. Nat. Rev. Mater. 2017, 2, 17056. 10.1038/natrevmats.2017.56. [DOI] [Google Scholar]
- Sahin U.; Karikó K.; Türeci Ö. mRNA-based therapeutics—developing a new class of drugs. Nat. Rev. Drug Discovery 2014, 13, 759–780. 10.1038/nrd4278. [DOI] [PubMed] [Google Scholar]
- Zhang H.-X.; Zhang Y.; Yin H. Genome editing with mRNA encoding ZFN, TALEN, and Cas9. Mol. Ther. 2019, 27, 735–746. 10.1016/j.ymthe.2019.01.014. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Weissman D. mRNA transcript therapy. Expert Rev. Vaccines 2015, 14, 265–281. 10.1586/14760584.2015.973859. [DOI] [PubMed] [Google Scholar]
- Damase T. R.; Sukhovershin R.; Boada C.; Taraballi F.; Pettigrew R. I.; Cooke J. P. The Limitless Future of RNA Therapeutics. Front. Bioeng. Biotechnol. 2021, 10.3389/fbioe.2021.628137. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kormann M. S.; Hasenpusch G.; Aneja M. K.; Nica G.; Flemmer A. W.; Herber-Jonat S.; Huppmann M.; Mays L. E.; Illenyi M.; Schams A.; et al. Expression of therapeutic proteins after delivery of chemically modified mRNA in mice. Nat. Biotechnol. 2011, 29, 154–157. 10.1038/nbt.1733. [DOI] [PubMed] [Google Scholar]
- Richner J. M.; Himansu S.; Dowd K. A.; Butler S. L.; Salazar V.; Fox J. M.; Julander J. G.; Tang W. W.; Shresta S.; et al P.; et al. Modified mRNA vaccines protect against Zika virus infection. Cell 2017, 168, 1114–1125. 10.1016/j.cell.2017.02.017. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Jackson L. A.; Anderson E. J.; Rouphael N. G.; Roberts P. C.; Makhene M.; Coler R. N.; McCullough M. P.; Chappell J. D.; Denison M. R.; Stevens L. J.; et al. An mRNA vaccine against SARS-CoV-2—preliminary report. N. Engl. J. Med. 2020, 383, 1920. 10.1056/NEJMoa2022483. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Reichmuth A. M.; Oberli M. A.; Jaklenec A.; Langer R.; Blankschtein D. mRNA vaccine delivery using lipid nanoparticles. Ther. Delivery 2016, 7, 319–334. 10.4155/tde-2016-0006. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Pardi N.; Tuyishime S.; Muramatsu H.; Kariko K.; Mui B. L.; Tam Y. K.; Madden T. D.; Hope M. J.; Weissman D. Expression kinetics of nucleoside-modified mRNA delivered in lipid nanoparticles to mice by various routes. J. Controlled Release 2015, 217, 345–351. 10.1016/j.jconrel.2015.08.007. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Guan S.; Rosenecker J. Nanotechnologies in delivery of mRNA therapeutics using nonviral vector-based delivery systems. Gene Ther. 2017, 24, 133–143. 10.1038/gt.2017.5. [DOI] [PubMed] [Google Scholar]
- Oberli M. A.; Reichmuth A. M.; Dorkin J. R.; Mitchell M. J.; Fenton O. S.; Jaklenec A.; Anderson D. G.; Langer R.; Blankschtein D. Lipid nanoparticle assisted mRNA delivery for potent cancer immunotherapy. Nano Life 2017, 17, 1326–1335. 10.1021/acs.nanolett.6b03329. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kauffman K. J.; Dorkin J. R.; Yang J. H.; Heartlein M. W.; DeRosa F.; Mir F. F.; Fenton O. S.; Anderson D. G. Optimization of lipid nanoparticle formulations for mRNA delivery in vivo with fractional factorial and definitive screening designs. Nano Life 2015, 15, 7300–7306. 10.1021/acs.nanolett.5b02497. [DOI] [PubMed] [Google Scholar]
- Hassett K. J.; Benenato K. E.; Jacquinet E.; Lee A.; Woods A.; Yuzhakov O.; Himansu S.; Deterling J.; Geilich B. M.; Ketova T.; et al. others Optimization of lipid nanoparticles for intramuscular administration of mRNA vaccines. Mol. Ther. Nucleic Acids 2019, 15, 1–11. 10.1016/j.omtn.2019.01.013. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Brader M. L.; Williams S. J.; Banks J. M.; Hui W. H.; Zhou Z. H.; Jin L. Encapsulation state of messenger RNA inside lipid nanoparticles. Biophys. J. 2021, 120, 2766. 10.1016/j.bpj.2021.03.012. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Aldosari B. N.; Alfagih I. M.; Almurshedi A. S. Lipid nanoparticles as delivery systems for RNA-based vaccines. Pharmaceutics 2021, 13, 206. 10.3390/pharmaceutics13020206. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Patel S.; Ashwanikumar N.; Robinson E.; Xia Y.; Mihai C.; Griffith J. P.; Hou S.; Esposito A. A.; Ketova T.; Welsher K.; Joyal J. L.; Almarsson O.; Sahay G. Naturally-occurring cholesterol analogues in lipid nanoparticles induce polymorphic shape and enhance intracellular delivery of mRNA. Nat. Commun. 2020, 11, 1–13. 10.1038/s41467-020-14527-2. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Gindy M. E.; DiFelice K.; Kumar V.; Prud’homme R. K.; Celano R.; Haas R. M.; Smith J. S.; Boardman D. Mechanism of macromolecular structure evolution in self-assembled lipid nanoparticles for siRNA delivery. Langmuir 2014, 30, 4613–4622. 10.1021/la500630h. [DOI] [PubMed] [Google Scholar]
- Sabnis S.; Kumarasinghe E. S.; Salerno T.; Mihai C.; Ketova T.; Senn J. J.; Lynn A.; Bulychev A.; McFadyen I.; Chan J.; Almarsson Ö.; Stanton M. G.; Benenato K. E. A Novel Amino Lipid Series for mRNA Delivery: Improved Endosomal Escape and Sustained Pharmacology and Safety in Non-human Primates. Mol. Ther. 2018, 26, 1509–1519. 10.1016/j.ymthe.2018.03.010. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Fenton O. S.; Kauffman K. J.; Kaczmarek J. C.; McClellan R. L.; Jhunjhunwala S.; Tibbitt M. W.; Zeng M. D.; Appel E. A.; Dorkin J. R.; Mir F. F.; et al. Synthesis and biological evaluation of ionizable lipid materials for the in vivo delivery of messenger RNA to B lymphocytes. Adv. Mater. 2017, 29, 1606944. 10.1002/adma.201606944. [DOI] [PubMed] [Google Scholar]
- Whitehead K. A.; Dorkin J. R.; Vegas A. J.; Chang P. H.; Veiseh O.; Matthews J.; Fenton O. S.; Zhang Y.; Olejnik K. T.; Yesilyurt V.; et al. others Degradable lipid nanoparticles with predictable in vivo siRNA delivery activity. Nat. Commun. 2014, 5, 1–10. 10.1038/ncomms5277. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Carrasco M. J.; Alishetty S.; Alameh M.-G.; Said H.; Wright L.; Paige M.; Soliman O.; Weissman D.; Cleveland T. E.; Grishaev A.; Buschmann M. D. Ionization and structural properties of mRNA lipid nanoparticles influence expression in intramuscular and intravascular administration. Commun. Biol. 2021, 4, 956. 10.1038/s42003-021-02441-2. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hassett K. J.; Higgins J.; Woods A.; Levy B.; Xia Y.; Hsiao C. J.; Acosta E.; Almarsson Ö.; Moore M. J.; Brito L. A. Impact of lipid nanoparticle size on mRNA vaccine immunogenicity. J. Controlled Release 2021, 335, 237. 10.1016/j.jconrel.2021.05.021. [DOI] [PubMed] [Google Scholar]
- Cornebise M.; Narayanan E.; Xia Y.; Acosta E.; Ci L.; Koch H.; Milton J.; Sabnis S.; Salerno T.; Benenato K. E. Discovery of a Novel Amino Lipid That Improves Lipid Nanoparticle Performance through Specific Interactions with mRNA. Adv. Funct. Mater. 2022, 32, 2106727–2106739. 10.1002/adfm.202106727. [DOI] [Google Scholar]
- Jayaraman M.; Ansell S. M.; Mui B. L.; Tam Y. K.; Chen J.; Du X.; Butler D.; Eltepu L.; Matsuda S.; Narayanannair J. K.; et al. Maximizing the potency of siRNA lipid nanoparticles for hepatic gene silencing in vivo. Angew. Chem. 2012, 124, 8657–8661. 10.1002/ange.201203263. [DOI] [PMC free article] [PubMed] [Google Scholar]
- An D.; Schneller J. L.; Frassetto A.; Liang S.; Zhu X.; Park J.-S.; Theisen M.; Hong S.-J.; Zhou J.; Rajendran R.; Levy B.; et al. Systemic Messenger RNA Therapy as a Treatment for Methylmalonic Acidemia. Cell Rep. 2017, 21, 3548–3558. 10.1016/j.celrep.2017.11.081. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Truong B.; Allegri G.; Liu X.-B.; Burke K. E.; Zhu X.; Cederbaum S. D.; Häberle J.; Martini P. G. V.; Lipshutz G. S. Lipid nanoparticle-targeted mRNA therapy as a treatment for the inherited metabolic liver disorder arginase deficiency. Proc. Natl. Acad. Sci. U. S. A. 2019, 116, 21150–21159. 10.1073/pnas.1906182116. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Zhu X.; et al. Systemic mRNA Therapy for the Treatment of Fabry Disease: Preclinical Studies in Wild-Type Mice, Fabry Mouse Model, and Wild-Type Non-human Primates. Am. J. Hum. Genet. 2019, 104, 625–637. 10.1016/j.ajhg.2019.02.003. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Balakrishnan B.; An D.; Nguyen V.; DeAntonis C.; Martini P. G.; Lai K. Novel mRNA-Based Therapy Reduces Toxic Galactose Metabolites and Overcomes Galactose Sensitivity in a Mouse Model of Classic Galactosemia. Mol. Ther. 2020, 28, 304–312. 10.1016/j.ymthe.2019.09.018. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Chen C.-Y.; Tran D. M.; Cavedon A.; Cai X.; Rajendran R.; Lyle M. J.; Martini P. G. V.; Miao C. H. Treatment of Hemophilia A Using Factor VIII Messenger RNA Lipid Nanoparticles. Molecular Therapy - Nucleic Acids 2020, 20, 534–544. 10.1016/j.omtn.2020.03.015. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Ingolfsson H. I.; Tieleman P.; Marrink S. Lipid Organization of the Plasma Membrane. Biophys. J. 2015, 108, 358a. 10.1016/j.bpj.2014.11.1962. [DOI] [PubMed] [Google Scholar]
- Gu R.-X.; Baoukina S.; Tieleman D. P. Phase Separation in Atomistic Simulations of Model Membranes. J. Am. Chem. Soc. 2020, 142, 2844–2856. 10.1021/jacs.9b11057. [DOI] [PubMed] [Google Scholar]
- Muller M. P.; Jiang T.; Sun C.; Lihan M.; Pant S.; Mahinthichaichan P.; Trifan A.; Tajkhorshid E. Characterization of lipid-protein interactions and lipid-mediated modulation of membrane protein function through molecular simulation. Chem. Rev. 2019, 119, 6086–6161. 10.1021/acs.chemrev.8b00608. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Leung A. K.; Hafez I. M.; Baoukina S.; Belliveau N. M.; Zhigaltsev I. V.; Afshinmanesh E.; Tieleman D. P.; Hansen C. L.; Hope M. J.; Cullis P. R. Lipid nanoparticles containing siRNA synthesized by microfluidic mixing exhibit an electron-dense nanostructured core. J. Phys. Chem. C 2012, 116, 18440–18450. 10.1021/jp303267y. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Ramezanpour M.; Schmidt M.; Bodnariuc I.; Kulkarni J.; Leung S.; Cullis P.; Thewalt J.; Tieleman D. Ionizable amino lipid interactions with POPC: implications for lipid nanoparticle function. Nanoscale 2019, 11, 14141–14146. 10.1039/C9NR02297J. [DOI] [PubMed] [Google Scholar]
- Ermilova I.; Swenson J. DOPC versus DOPE as a helper lipid for gene-therapies: molecular dynamics simulations with DLin-MC3-DMA. Phys. Chem. Chem. Phys. 2020, 22, 28256–28268. 10.1039/D0CP05111J. [DOI] [PubMed] [Google Scholar]
- Park S.; Choi Y. K.; Kim S.; Lee J.; Im W. CHARMM-GUI Membrane Builder for Lipid Nanoparticles with Ionizable Cationic Lipids and PEGylated Lipids. J. Chem. Inf. Model. 2021, 61, 5192–5202. 10.1021/acs.jcim.1c00770. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Choi Y. K.; Park S.-J.; Park S.; Kim S.; Kern N. R.; Lee J.; Im W. CHARMM-GUI Polymer Builder for Modeling and Simulation of Synthetic Polymers. J. Chem. Theory Comput. 2021, 17, 2431–2443. 10.1021/acs.jctc.1c00169. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Jo S.; Kim T.; Iyer V. G.; Im W. CHARMM-GUI: A web-based graphical user interface for CHARMM. J. Comput. Chem. 2008, 29, 1859–1865. 10.1002/jcc.20945. [DOI] [PubMed] [Google Scholar]
- Licari G.; Dehghani-Ghahnaviyeh S.; Tajkhorshid E. Membrane Mixer: A Toolkit for Efficient Shuffling of Lipids in Heterogeneous Biological Membranes. J. Chem. Inf. Model. 2022, 62, 986–996. 10.1021/acs.jcim.1c01388. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Romo T. D.; Leioatts N.; Grossfield A. Lightweight object oriented structure analysis: Tools for building tools to analyze molecular dynamics simulations. J. Comput. Chem. 2014, 35, 2305–2318. 10.1002/jcc.23753. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Humphrey W.; Dalke A.; Schulten K. VMD: visual molecular dynamics. J. Med. Genet. 1996, 14, 33–38. 10.1016/0263-7855(96)00018-5. [DOI] [PubMed] [Google Scholar]
- Case D. A.; Belfon K.; Ben-Shalom I. Y.; Brozell S. R.; Cerutti D. S.; Cheatham T. E. III; Cruzeiro V. W. D.; Darden T. A.; Duke R. E.; Giambasu G.; Gilson M. K.; et al. AMBER 2020, University of California, San Francisco, 2020.
- Trabuco L. G.; Villa E.; Schreiner E.; Harrison C. B.; Schulten K. Molecular dynamics flexible fitting: a practical guide to combine cryo-electron microscopy and X-ray crystallography. Methods 2009, 49, 174–180. 10.1016/j.ymeth.2009.04.005. [DOI] [PMC free article] [PubMed] [Google Scholar]
- LigPrep; Schrödinger LLC: New York, 2021. [Google Scholar]
- O’Boyle N. M.; Banck M.; James C. A.; Morley C.; Vandermeersch T.; Hutchison G. R. Open Babel: An open chemical toolbox. J. Cheminform. 2011, 10.1186/1758-2946-3-33. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Wang J.; Wolf R. M.; Caldwell J. W.; Kollman P. A.; Case D. A. Development and testing of a general amber force field. J. Comput. Chem. 2004, 25, 1157–1174. 10.1002/jcc.20035. [DOI] [PubMed] [Google Scholar]
- Wang J.; Wang W.; Kollman P. A.; Case D. A. Automatic atom type and bond type perception in molecular mechanical calculations. J. Mol. Graph. Model. 2006, 25, 247–260. 10.1016/j.jmgm.2005.12.005. [DOI] [PubMed] [Google Scholar]
- Lee J.; et al. CHARMM-GUI input generator for NAMD, GROMACS, AMBER, OpenMM, and CHARMM/OpenMM simulations using the CHARMM36 additive force field. J. Chem. Theory Comput. 2016, 12, 405–413. 10.1021/acs.jctc.5b00935. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Phillips J. C.; Braun R.; Wang W.; Gumbart J.; Tajkhorshid E.; Villa E.; Chipot C.; Skeel R. D.; Kale L.; Schulten K. Scalable molecular dynamics with NAMD. J. Comput. Chem. 2005, 26, 1781–1802. 10.1002/jcc.20289. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Phillips J. C.; Hardy D. J.; Maia J. D.; Stone J. E.; Ribeiro J. V.; Bernardi R. C.; Buch R.; Fiorin G.; H́enin J.; Jiang W.; et al. Scalable molecular dynamics on CPU and GPU architectures with NAMD. J. Chem. Phys. 2020, 153, 044130. 10.1063/5.0014475. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Dickson C. J.; Madej B. D.; Skjevik Å. A.; Betz R. M.; Teigen K.; Gould I. R.; Walker R. C. Lipid14: The Amber Lipid Force Field. J. Chem. Theory Comput. 2014, 10, 865–879. 10.1021/ct4010307. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Madej B. D.; Gould I. R.; Walker R. C. A Parameterization of Cholesterol for Mixed Lipid Bilayer Simulation within the Amber Lipid14 Force Field. J. Phys. Chem. B 2015, 119, 12424–12435. 10.1021/acs.jpcb.5b04924. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Darden T.; York D.; Pedersen L. Particle mesh Ewald: an N·log(N) method for Ewald sums in large systems. J. Chem. Phys. 1993, 98, 10089–10092. 10.1063/1.464397. [DOI] [Google Scholar]
- Miyamoto S.; Kollman P. A. Settle: an analytical version of the SHAKE and RATTLE algorithm for rigid water molecules. J. Comput. Chem. 1992, 13, 952–962. 10.1002/jcc.540130805. [DOI] [Google Scholar]
- Martyna G. J.; Tobias D. J.; Klein M. L. Constant pressure molecular dynamics algorithms. J. Chem. Phys. 1994, 101, 4177–4189. 10.1063/1.467468. [DOI] [Google Scholar]
- Feller S. E.; Zhang Y.; Pastor R. W.; Brooks B. R. Constant pressure molecular dynamics simulation: The Langevin piston method. J. Chem. Phys. 1995, 103, 4613–4621. 10.1063/1.470648. [DOI] [Google Scholar]
- Wells D. B.; Abramkina V.; Aksimentiev A. Exploring transmembrane transport through α-hemolysin with grid-steered molecular dynamics. J. Chem. Phys. 2007, 127, 125101. 10.1063/1.2770738. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Romo T. D.; Grossfield A.. LOOS: an extensible platform for the structural analysis of simulations. 2009 Annual international conference of the IEEE Engineering in Medicine and Biology Society, 2009; pp 2332–2335. [DOI] [PubMed]
- Michaud-Agrawal N.; Denning E. J.; Woolf T. B.; Beckstein O. MDAnalysis: A toolkit for the analysis of molecular dynamics simulations. J. Comput. Chem. 2011, 32, 2319–2327. 10.1002/jcc.21787. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Schubert E.; Sander J.; Ester M.; Kriegel H. P.; Xu X. DBSCAN revisited, revisited: why and how you should (still) use DBSCAN. ACM Trans. Database Syst. 2017, 42, 1–21. 10.1145/3068335. [DOI] [Google Scholar]
- Kulkarni J. A.; Darjuan M. M.; Mercer J. E.; Chen S.; Van Der Meel R.; Thewalt J. L.; Tam Y. Y. C.; Cullis P. R. On the formation and morphology of lipid nanoparticles containing ionizable cationic lipids and siRNA. ACS Nano 2018, 12, 4787–4795. 10.1021/acsnano.8b01516. [DOI] [PubMed] [Google Scholar]
- Kulkarni J. A.; Witzigmann D.; Leung J.; Tam Y. Y. C.; Cullis P. R. On the role of helper lipids in lipid nanoparticle formulations of siRNA. Nanoscale 2019, 11, 21733–21739. 10.1039/C9NR09347H. [DOI] [PubMed] [Google Scholar]
- Eygeris Y.; Patel S.; Jozic A.; Sahay G. Deconvoluting Lipid Nanoparticle Structure for Messenger RNA Delivery. Nano Lett. 2020, 20, 4543–4549. 10.1021/acs.nanolett.0c01386. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Arteta M. Y.; Kjellman T.; Bartesaghi S.; Wallin S.; Wu X.; Kvist A. J.; Dabkowska A.; Székely N.; Radulescu A.; Bergenholtz J.; Lindfors L. Successful reprogramming of cellular protein production through mRNA delivered by functionalized lipid nanoparticles. Proc. Natl. Acad. Sci. U. S. A. 2018, 115, E3351–E3360. 10.1073/pnas.1720542115. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Trollmann M. F.; Böckmann R. A. mRNA lipid nanoparticle phase transition. Biophys. J. 2022, 121, 3927–3939. 10.1016/j.bpj.2022.08.037. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Zhang X.; Barraza K. M.; Beauchamp J. L. Cholesterol provides nonsacrificial protection of membrane lipids from chemical damage at air-water interface. Proc. Natl. Acad. Sci. U. S. A. 2018, 115, 3255–3260. 10.1073/pnas.1722323115. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Sur S.; Grossfield A. Effects of cholesterol on the mechanism of fengycin, a biofungicide. Biophys. J. 2022, 121, 1963–1974. 10.1016/j.bpj.2022.04.006. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Klauda J. B. Considerations of Recent All-Atom Lipid Force Field Development. J. Phys. Chem. B 2021, 125, 5676–5682. 10.1021/acs.jpcb.1c02417. [DOI] [PubMed] [Google Scholar]
- Hassett K. J.; Higgins J.; Woods A.; Levy B.; Xia Y.; Hsiao C. J.; Acosta E.; Almarsson Ö.; Moore M. J.; Brito L. A. Impact of lipid nanoparticle size on mRNA vaccine immunogenicity. J. Controlled Release 2021, 335, 237–246. 10.1016/j.jconrel.2021.05.021. [DOI] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Supplementary Materials
Data Availability Statement
All the analysis scripts as well as the insertion algorithm are available at https://github.com/modernatx/ionizable_amino_lipids_distribution.