Luciferins and aza-luciferin analogues syntheses and characterization
The concentrated solutions of CTZ and FMZ used in this work where obtained by the hydrolysis of, respectively, hikarazines-001 and hikarazines-086 as previously described.41 Azacoelenterazine (azaCTZ) was synthesized as described previously.21 For azafurimazine (azaFMZ) synthesis, 1H NMR and 13C NMR spectra were recorded on a Bruker Avance 400 spectrometer at 400 MHz and 100 MHz, respectively. Shifts (δ) are given in ppm with respect to the TMS signal and cross-coupling constants (J) are given in Hertz. Column chromatography were performed either on Merck silica gel 60 (0.035–0.070 mm) or neutral alumina containing 1.5% of added water using a solvent pump and an automated collecting system driven by a UV detector set to 254 nm unless required otherwise. Sample deposition was carried out by absorption of the mixture to be purified on a small amount of the solid phase followed by its deposition of the top of the column. The low-resolution mass spectra were obtained on an Agilent 1200 series LC/MSD system using an Agilent Jet-Stream atmospheric electrospray ionization system and the high-resolution mass spectra (HRMS) were obtained using a Waters Micromass Q-Tof with an electrospray ion source.
3-benzyl-2-hydrazinyl-5-phenylpyrazine: In a 20 mL sealable Biotage vial, 3-benzyl-2-chloro-5-phenylpyrazine41 (2.0 g, 7.1 mmol) and hydrazine hydrate (1.38 mL, 28.5 mmol) were dispersed in n-butanol (12 mL). The vial was sealed and heated in a microwave oven at 170°C for 8 h. The resulting mixture was dispersed in distilled water (200 mL) for 15 minutes at room temperature. The precipitated was then filtered, washed with distilled water, cyclohexane and dried under vacuum at 55°C to give the hydrazine as a yellow solid (3.71 g, 93%). 1H (DMSO-d6) δ 8.55 (s, 1H), 8.07 (s, 1H), 7.95–7.92 (m, 2 H), 7.44–7.17 (m, 9H), 4.30 (s (br), 2H), 4.12 (s, 2H). 13C (DMSO-d6) δ 153.7, 141.3, 138.8, 138.3, 137.5, 136.4, 129.5, 129.1, 128.6, 127.9, 127.2, 126.7, 125.3. HRMS (m/z): [M + H]+ calcd for C17H16N4: 277.1453, found: 277.1458.
8-benzyl-2-(furan-2-ylmethyl)-6-phenyl-[1, 2, 4]triazolo[4,3-a]pyrazin-3(2H)-one (azafurimazine). First step: in a 250 mL round bottomed flask, 3-benzyl-2-hydrazinyl-5-phenylpyrazine (0.4 g, 1.45 mmol) and furan-2-carbaldehyde (0.12 mL, 1.45 mmol) were dispersed in acetic acid (4 mL). The mixture was stirred at room temperature during 2 minutes. The resulting solid was re-dissolved in dichloromethane (40 mL) and cyanoborohydride (0.18 g, 2.9 mmol) was added. This was stirred at room temperature for 1 h. The solution was then dispersed in water and ethyl acetate, neutralized with 1 N NaOH (1 equivalent in regard with the acetic acid added). This was extracted with ethyl acetate thrice, the organic layer was washed with a saturated solution of sodium hydrogenocarbonate, distilled water, brine and dried over MgSO4. The solvent was removed under vacuum, to give the crude hydrazine (0.43 g) as a brown oil which was considered pure. Second step: under an inert atmosphere, this oil was dissolved in dry tetrahydrofuran (20 mL, dried over 4 Å molecular sieves) and solid triphosgene (0.12 g, 0.40 mmol) was added before stirring at room temperature for 40 minutes. The resulting mixture was diluted with water, extracted twice with ethyl acetate and the organic layer washed with water, brine, dried over magnesium sulfate and concentrated under vacuum to give a solid residue. A chromatography over silica gel (cyclohexane - ethyl acetate 5/1) gave a fraction containing pure azafurimazine as a yellow solid (0.37 g, 80%). 1H (CDCl3) δ 7.91–7.86 (m, 3H), 7.53–7.24 (m, 9H), 6.48 (dd, J = 3.3, 0.6 Hz, 1H), 6.39 (dd, J = 3.2, 1.9 Hz, 1H), 5.25 (s, 2H), 4.37 (s, 2H). 13C (CDCl3) δ 154.0, 148.5, 148.4, 143.0, 136.5, 136.0, 135.7, 135.5, 129.7, 128.9, 128.7, 128.5, 126.9, 125.7, 110.6, 109.5, 109.3, 43.0, 39.5. HRMS (m/z): [M + H]+ calcd for C23H18N4O2: 383.1508, found: 383.1494.
Mutagenesis And Dna Cloning
Megaprimer PCR-based mutagenesis42 was applied to create single-point mutations as well as for gene truncation and extension. The megaprimers with the desired mutation, truncation or extension were synthesized in the first PCR reaction using a mutagenic primer and one universal primer (Table S7). The megaprimer was gel-purified purified by DNA electrophoresis and used as a primer in the second round of PCR to generate the complete DNA sequence with desired mutation. After PCR reaction, the original DNA template was removed by DpnI treatment (2 h at 37°C), and the mutated plasmid was transformed into chemically-competent Escherichia coli DH5α cells. Plasmids were isolated from three randomly selected colonies and error-free DNA genes were confirmed by DNA sequencing (Eurofins Genomics, Germany). Protein sequences of all NanoLuc variants generated and used in this work are aligned in Supplementary Fig. 22.
Overexpression And Purification Of Nanoluc Luciferases
Escherichia coli BL21(DE3) cells (NEB, USA) were transformed with pET-21b plasmid encoding for N-terminally His-tagged NanoLuc gene, plated on LB-agar plates with ampicillin (100 µg/ml) and grown overnight at 37°C. Few colonies were transferred and used to inoculate an aliquot of 10 ml of 2xLB medium containing 100 µg/ml ampicillin followed by 5-hour incubation at 37°C. The expression of NanoLuc was induced by the addition of IPTG to a final concentration of 0.5 mM. After overnight cultivation at 20°C, the cells were harvested by centrifugation (15 min, 4, 000 × g, 4°C) and resuspended in a TBS buffer A (10 mM Tris-HCl, 50 mM NaCl, 20 mM imidazole, pH 7.5) containing DNase (20 µg/ml). The cells were then disrupted by sonification using Sonic Dismembrator Model 705 (Fisher Scientific, USA). The lysate was clarified by centrifugation (50 min, 21, 000 × g, 4°C) using a Sigma 6-16K centrifuge (SciQuip, UK). The filtrated supernatant containing His-tagged NanoLuc was applied to a 5-ml Ni-NTA Superflow Cartridge (Qiagen, Germany) pre-equilibrated with TBS buffer A. NanoLuc was eluted with TBS buffer B (10 mM Tris-HCl, 50 mM NaCl pH, 250 mM imidazole, pH 7.5). Finally, NanoLuc was purified by size exclusion chromatography using Äkta Pure system (Cytiva, USA) equipped with HiLoad 16/600 Superdex 200 pg column equilibrated with a gel filtration buffer (50 mM NaCl, 10 mM Tris-HCl, pH 7.5 ). The protein purity was verified by SDS-PAGE. The same protocol was used for all NanoLuc variants.
Crystallization Experiments
Purified NanoLuc was concentrated to a final concentration of ~ 10 mg/ml using Centrifugal Filter Units AmiconR Ultra-15 UltracelR-3K (Merck Millipore Ltd., Ireland). Concentrated NanoLuc was mixed with a 4 molar excess of furimazine non-oxidizable analogue azaFMZ (stock solution of azaFMZ was 10 mM in isopropanol). The precipitated material was removed by centrifugation (10 min, 12,000 g, 4°C) after 60 min incubation at 4°C, and the supernatant was directly crystallized. The crystallization was performed in Easy-Xtal 15-well crystallization plates by a hanging drop vapour diffusion, where 1 µl of NanoLuc-azafurimazine mixture was mixed with the reservoir solution (200 mM magnesium chloride, 100 mM potassium chloride, 25 mM sodium acetate pH 4.0, and 33% PEG 400) in the ratio 1:1 and equilibrated against 500 µl of the reservoir solution. The crystals usually grew in 3–5 days. The good-looking crystals were soaked overnight in the mother liquor supplemented with 10 mM FMZ or CTZ, flash-frozen in the reservoir solution supplemented with 20% glycerol by liquid nitrogen and stored for X-ray diffraction experiments. The same crystallization protocol was used for the NanoLuc Y94A mutant.
For the NanoLucCTZ co-crystallization, the purified luciferase was concentrated to a final concentration of ~ 10 mg/ml and mixed with a 4 molar excess of azaCTZ luciferin.21 The crystallization was performed in Easy-Xtal 15-well crystallization plates by a hanging drop vapor diffusion, where 1 µl of NanoLucCTZ-azaCTZ mixture was mixed with the reservoir solution (100 mM ammonium acetate, 0.1 M Bis-Tris pH 5.5 mM and 17% (w/v) PEG 10000) in the ratio 1:1 and equilibrated against 500 µl of the reservoir solution. Crystals were observed at 20°C after 5–7 days. Crystals were flash-frozen in the reservoir solution supplemented with 20% glycerol by liquid nitrogen and stored for X-ray diffraction experiments. No further optimization was necessary.
Diffraction Data Processing And Structure Determinations
Diffraction data were collected at the Swiss Light Source synchrotron at the wavelength of 1.0 Å. The data were indexed and processed using XDS43, and Aimless3 was used for data reduction and merging. Initial phases of NanoLuc were solved by molecular replacement using Phaser44 implemented in Phenix45. The structure of NanoKaz (PDB ID: 5B0U)17 was employed as a search model for molecular replacement. Twinning was detected by phenix.xtriage45, and taken into account during reciprocal-space refinement steps using Refmac546. For the NanoLuc/FMA complex, Refmac5 refined with four twin domains and twinning operators 0.606 (h, k, l), 0.214 (h, -k, -l), 0.089 (k, h, -l) and 0.09 (-k, -h, -l). For the NanoLuc/CEI complex, there were four twin domains and twinning operators were 0.485 (h, k, l) 0.166 (-h, -k, l), 0.180 (-k, -h, -l) and 0.169 (k, h, -l). The refinement was carried out in several cycles of automated refinement in Refmac546 and/or phenix.refine tool45 and manual model building performed in Coot47. The chemical structures and geometry restraints libraries of FMA, CEI and azaCTZ were created using Ligand Builder and Optimization Workbench (eLBOW) implemented in Phenix45. The final models were validated using tools provided in Coot47. Structural data were graphically visualized with PyMol Molecular Graphics System (Schrödinger, LLC). Atomic coordinates and structure factors were deposited in the Protein Data Bank20 under the ID codes: 8AQ6, 8AQI, 8AQH and 8BO9 (Supplementary Table 1).
Preparation Of Luciferin Stock Solutions For Luminescence-measurements
Stock solutions of furimazine (Aobious, USA) and coelenterazine (Carl Roth, Germany) were prepared by dissolving a weighed amount of solid furimazine or coelenterazine in ice-cold absolute ethanol to obtain a 500 µM luciferin concentration. The stock solutions were stored in glass vials under a nitrogen atmosphere. The concentration and quality of the luciferin stock solutions were verified spectrophotometrically before each measurement.
Measurement Of Specific Luciferase Activity
Specific luciferase activity of NanoLuc and its mutants was determined at 37°C using a FLUOStar Omega microplate reader (BMG Labtech, Germany). Buffered furimazine and coelenterazine solutions were prepared by dilution of their ethanolic stock solution into 100 mM potassium phosphate buffer (pH 7.50) to obtain a 2.2 µM concentration of luciferin. Samples of 25 µL of purified enzyme solution were placed in microplate wells. After 10 s baseline collection, the luciferase reaction was initiated by injection of 225 µL of 2.2 µM buffered furimazine or coelenterazine solution and monitored for total luminescence (240–740 nm) for 15 s. The final enzyme concentration varied between 0.03–320 nM and was tailored to each enzyme so the value of luminescence intensity immediately after reaction start and 15 s after reaction start did not vary more than 2%. The measured specific luciferase activity was expressed in relative light units (RLU) s− 1 M− 1 of an enzyme. The activity of each enzyme sample was measured in at least three repetitions.
Measurement Of Steady-state Kinetic Parameters Of Luciferase Reaction
Steady-state kinetic parameters of luciferase reaction of NanoLuc and its mutants were determined at 37°C using a FLUOStar Omega microplate reader (BMG Labtech, Germany). Series of buffered furimazine (0.058.0 µM) and coelenterazine (0.05-32.0 µM) solutions were prepared by dilution of their ethanolic stock solution into 100 mM potassium phosphate buffer (pH 7.50). Samples of 25 µL of purified enzyme solution were placed in microplate wells. After 10 s baseline collection, the luciferase reaction was initiated by injection of 225 µL of buffered furimazine or coelenterazine solution and monitored for total luminescence (240–740 nm) for 15 s; this was performed for the entirety of the two luciferin concentration series. The final enzyme concentration was chosen as 0.01 or 0.05 µM depending on the enzyme-luciferin combination, so the enzyme concentration never exceeded 1/5 of the lowest used initial luciferin concentration. To estimate the values of the Michaelis constant (Km) of the four reactions, the obtained dependences of luciferase reaction initial velocity on the luciferin concentration were fitted by nonlinear regression to Michaelis-Menten kinetic model accounting for substrate inhibition using GraphPad Prism 8 (GraphPad Software, USA). Furthermore, the same measurement was repeated for luciferin concentration levels within the range of 0.25-4×Km, only the luminescence of the reaction mixture was monitored either until the luminescence intensity decreased under 0. % of its maximal measured value (i.e. until the substrate was fully converted to product) or until the reaction has reached the 1000 s time point. In the case that for a certain enzyme-luciferin combination the luminescence never decreased under 0. % of its maximal measured value, an additional calibration measurement of luciferin conversion was performed using an excess of enzyme ensuring > 99.5% conversion of the added luciferin. Each measurement was performed in at least three repetitions.
Monitoring the luciferase reaction beyond the initial linear phase up to complete conversion of the substrate allows for the determination of its kinetic constants from reaction rate time progress in relative units without the need for luminometer quantum yield calibration.3 The measured dependences of luminescence intensity on the reaction time were transformed into cumulative luminescence in time. The obtained conversion curves capturing the initial reaction velocity and total luciferin conversion were globally fitted by numerical methods using the KinTek Explorer48 (KinTek Corporation, USA) to directly obtain the values of turnover number kcat, Michaelis constant Km, specificity constant kcat/Km, and equilibrium dissociation constant for enzyme-product complex Kp and enzyme-substrate-substrate complex Ks according to models (Scheme 1) for NanoLuc and (Scheme 2) for its Y94A mutant. To reflect fluctuation in experimental data, the values of substrate or enzyme concentrations were corrected (± 5%) to obtain best fits. Residuals were normalized by sigma value for each data point. In addition to S.E. values, a more rigorous analysis of the evaluation reliability was performed by confidence contour analysis using FitSpace Explorer49 (KinTek Corporation, USA). The scaling factor, relating the luminescence signal to product concentration, was applied as one of the fitted parameters, well defined by the end state of total conversion curves. Depletion of the available substrate after the reaction was verified by repeated injection of a fresh enzyme, resulting in no or negligible luminescence.
Live-cell Imaging Assays
ARPE-19 cell line was cultured in Knockout Dulbecco’s modified Eagle’s medium (Invitrogen, Life Technologies Ltd.) containing 10% foetal bovine serum (FBS), (Biosera), 1x GlutaMAX (Invitrogen, Life Technologies Ltd.), 1 × MEM non-essential amino acid solution, 1 × penicillin/streptomycin (Biosera) and 10 µM β‑mercaptoethanol (Sigma-Aldrich). The cells were incubated at 37°C/5% CO2 and regularly passaged using trypsin.
Lentiviral particles were generated as described previously.50,51 Briefly, HEK293T cells were transfected with pSIN vector coding for either NanoLucCTZ or NanoLuc gene together with 2nd generation of lentiviral production plasmids psPAX2 (Addgene #12260) and pMD2.G (Addgene #12259) kindly provided by Didier Trono. After transfection, the cell culture medium was exchanged for medium containing: OptiMEM (Invitrogen, Life Technologies Ltd.), 1% FBS, 1% MEM non-essential amino acid solution, 1% penicillin/streptomycin) and was collected every 12 hours for a total of 48 hours. Virus supernatant was centrifuged (4.500 × g, 10 minutes, room temperature), filtered through a 0.45 µm low protein-binding filter. The supernatant was mixed with Polybrene (Sigma-Aldrich) at final concentration of 5 µg/ml and applied to cells overnight. The next day, the culture medium containing viral particles was replaced with a fresh medium. Transduced cells were then cultured in the presence 1 µg/ml puromycin.
For luciferase activity measurements, cells were seeded onto a 40 mm cell culture petri dish, allowed to adhere and recover for 16 hours. Cell culture medium was replaced with pre-heated (37°C) fresh medium containing EnduRen (60 µM) or 1x Nano-Glo Endurazine (Promega). Luciferase activity was measured using LuminoCell device, as described previously.24
Preparation Of Ligand Molecules For Docking
The structures of the ligands were prepared using Avogadro 1.2.0 software.52 The multiplicity of the bonds was edited to match the keto forms of FMZ and CTZ, all missing hydrogens were added, and then the structures were minimized by the steepest descend algorithm in the Auto Optimize tool of Avogadro, using the Universal Force Field (UFF). Next, the ligands were uploaded to the RESP ESP charge Derive (R.E.D.) Server Development 2.053 to derivate the restrained electrostatic potential (RESP) charges. Then, AutoDock atom types were added and PDBQT files were generated by MGLTools54,55.
Preparation Of Receptor Molecules For Docking
The NanoLuc structures, which served as receptors for docking (PDB IDs 8AQ6, 8BO9, 5IBO, 5B0U, 7MJB), were downloaded from the RCSB PDB56, aligned to PDB ID 8AQ6 in PyMOL 1.8.457, and stripped of all non-protein atoms. The structures were protonated with H + + web server v. 4.058,59, using pH = 7.4, salinity = 0.1 M, internal dielectric = 10, and external dielectric = 80 as parameters. AutoDock atom types and Gasteiger charges were added to the receptors by MGLTools54,55 and the corresponding PDBQT files were generated. All receptors were prepared without ligands.
Molecular Docking
The AutoDock Vina 1.1.260 algorithm was used for molecular docking. For site-directed docking to the crystallographic binding pocket, the docking grid was selected to be x = 32 Å, y = 22 Å, z = 30 Å sized box with a center in x = 40, y = − 47, z = 62 for NanoLuc monomer and a 30 × 24 × 40 Å box with a center in (35,−50,60) for NanoLuc dimer covering the catalytic pocket, which was computed with HotSpot Wizard 3.161. For blind docking, a 60 × 50 × 46 Å box with a center in (47,−57,63) covering the whole protein was used for the monomer, and a 65 × 75 × 50 Å box with a center in (44,−44,62) for the dimer. For site-directed docking to the beta-barrel, five different-sized docking grids were used: four cubic boxes with a side of 22, 20, 18, and 12 Å centered in (47, − 60,62), and another 16 × 16 × 18 Å sized box with a center in (49,−60, 62). The flag --exhaustiveness = 100 was used to sample the possible conformational space thoroughly. The number of output conformations of the docked ligand was set to 10. The results were analyzed in PyMOL 1.8.4 software57.
Ligand Preparation For Adaptive Sampling
The structures of the ligands (FMZ and Cl−) were extracted from the NanoLuc crystal structure. The multiplicity of bonds in the FMZ structure was adjusted to match the keto form and all missing hydrogens were added using Avogadro 1.2.0 software62. The antechamber module of AmberTools1663 was used to calculate the charges for the ligands, add the atom types of the Amber force field and compile them in a PREPI parameters file. Also, the parmchk2 tool from AmberTools16 was used to create an additional FRCMOD parameter file for FMZ to compensate for any missing parameters.
System Preparation And Equilibration
The structure of the NanoLuc monomer was extracted from the crystallographic structure of the NanoLuc dimer in a complex with FMZ. The crystallographic water molecules were kept in the system. Three starting NanoLuc systems were prepared: (i) monomer + FMZ + two O2 molecules, (ii) dimer + two O2 molecules, and (iii) dimer + FMZ + two O2 molecules.
The following steps were performed with the High Throughput Molecular Dynamics (HTMD)64 scripts. Each protein structure was protonated with PROPKA 2.0 at pH 7.565. For the systems with FMZ, one molecule was placed in the same site as in the initial crystal structure. The three systems were solvated in a cubic water box of TIP3P66 water molecules with the edges at least 10 Å away from the protein, by the solvate module of HTMD. Cl− and Na+ ions were added to neutralize the charge of the protein and get a final salt concentration of 0.1 M. The topology of the system was built, using the amber.build module of HTMD, with the ff14SB67 Amber force field and the previously compiled PREPI and FRCMOD parameter files for the ligands. The systems were equilibrated using the equilibration_v2 module of HTMD64. The system was first minimized using a conjugate-gradient method for 500 steps. Then the system was heated to 310 K and minimized as follows: (i) 500 steps (2 ps) of NVT thermalization with the Berendsen barostat with 1 kcal·mol− 1·Å−2 constraints on all heavy atoms of the protein, (ii) 1,250,000 steps (5 ns) of NPT equilibration with Langevin thermostat and same constraints, and (iii) 1,250,000 steps (5 ns) of NPT equilibration with the Langevin thermostat without any constraints. During the equilibration simulations, holonomic constraints were applied on all hydrogen-heavy atom bond terms, and the mass of the hydrogen atoms was scaled with factor 4, enabling 4 fs time steps68–71. The simulations employed periodic boundary conditions, using the particle mesh Ewald method for treatment of interactions beyond 9 Å cut-off, electrostatic interactions suppressed for more than 4 bond terms away from each other, and the smoothing and switching van der Waals and electrostatic interaction cut-off at 7.5 Å.70
Adaptive Sampling
HTMD64 was used to perform adaptive sampling of the conformations of the three NanoLuc systems (dimer + FMZ + 2 O2, dimer + 2 O2, monomer + FMZ + 2 O2). Fifty ns production MD runs were started with the systems that resulted from the equilibration cycle and employed the same settings as the last step of the equilibration. The trajectories were saved every 0.1 ns. Adaptive sampling was performed using, as the adaptive metric, the root-mean-square deviation (RMSD) of all Cα atoms of the protein against the crystal structure as a reference, and time-lagged independent component analysis (tICA)72 projection in 1 dimension. 20 epochs of 10 parallel MDs were performed for the two systems with NanoLuc dimer, corresponding to a cumulative time of 10 µs per system. For the monomer, 29 epochs of 10 MDs were calculated with the same metric (14.5 µs), and additional 4 epochs of 10 MDs (2 µs) were calculated with the contacts metric between all heavy atoms of FMZ and residues 41I, 57H, and 89K located in the active site of the protein.
Markov State Model Construction
The simulations were made into a simulation list using HTMD64, the water and ions were filtered out, and unsuccessful simulations shorter than 50 ns were omitted. Such filtered trajectories were combined for each system, which resulted in 10 µs of cumulative simulation time for the two systems with NanoLuc dimer and 16.5 µs for the system with NanoLuc monomer. The ligand unbinding dynamics of the systems with FMZ were studied by the RMSD metric for the heavy atoms of FMZ against the initial position of FMZ in the system. The data were clustered using the MiniBatchKmeans algorithm to 1000 clusters. For the NanoLuc dimer with FMZ, a 20 ns lag time was used in the models to construct three Markov states, while for the monomer with FMZ 3 Markov states were constructed using a 30 ns lag time.The dimer dissociation dynamics of the dimer systems were studied by the same metric used in the adaptive sampling – the RMSD of the Cα atoms of the protein. The data were clustered using the MiniBatchKmeans algorithm to 1000 clusters. For NanoLuc dimer with FMZ, a 20 ns lag time was used in the models to construct 3 Markov states, while for dimer alone, 4 Markov states were constructed using a 20 ns lag time. The Chapman-Kolmogorov test was performed to assess the quality of all the constructed states. The states were visualized in VMD 1.9.373 and statistics of the RMSD value for each state were calculated (mean RMSD, SD, minimum RMSD, and maximum RMSD). The trajectory was saved for each model.
Calculation Of Kinetics
Kinetic values (MFPT on/off, kon, koff, ΔG0eq, and KD) were calculated by the kinetics module of HTMD64 between the source state and the sink state. In the FMZ unbinding analysis, the source state was defined as the unbound state of FMZ and the sink state as the bound state, while in the dimer dissociation analysis, the source state was defined as the most dissociated state and sink as the associated state. Also, the equilibrium population of each macrostate was calculated and visualized. Finally, bootstrapping of the kinetics analysis was performed, using randomly selected 8 % of the data, run 100 times. The kinetic values were then averaged, and the standard deviations were calculated.
Preparation And Minimization Of Nanoluc Dimers For Asmd
The crystal structures of three different NanoLuc dimers were studied: (i) an asymmetric dimer with bound FMZ, (ii) a symmetric dimer of NanoLuc-Y94A mutant, and (iii) a symmetric NanoLuc-R164Q mutant (PDB ID 7MJB). First, the structures were stripped of all non-protein atoms. Next, the structures were protonated with the H + + web server v. 4.058,59, using pH = 7.4, salinity = 0.1 M, internal dielectric = 10, and external dielectric = 80 as parameters. Then the crystallographic water molecules were added to the systems. Next, histidine residues were renamed according to their protonation state (HID – Nδ protonated, HIE – Nε protonated, HIP – both Nδ and Nε protonated). The FMZ ligand was prepared as described in Ligand preparation for adaptive sampling above. Moreover, it was minimized by the steepest descend algorithm in the Auto Optimize tool of Avogadro 1.2.062, using the Universal Force Field (UFF). In the case of the asymmetric dimer, two systems were prepared – one with FMZ and one without, while the symmetric NanoLuc dimers were prepared without FMZ, yielding four systems in total. The tLEaP module of AmberTools1674 was used to neutralize the systems with Cl− and Na+ ions, import the ff14SB force field75 to describe the protein and the FMZ parameters to describe the ligand, add an octahedral box of TIP3P water molecules76 to the distance of 20 Å from any atom in the system, and generate the topology file, coordinate file, and PDB file. All crystallographic water molecules that were overlapping with the protein or FMZ were removed from the input PDB file and tLEaP was rerun.
The system equilibration was carried out with the PMEMD.CUDA77–79 module of Amber 1674. In total, five minimization steps and twelve steps of equilibration dynamics were performed. The first four minimization steps were composed of 2,500 cycles of the steepest descent algorithm followed by 7,500 cycles of the conjugate gradient algorithm each, while gradually decreasing harmonic restraints. The restraints were applied as follows: 500 kcal·mol− 1·Å−2 on all heavy atoms of the protein, and then 500, 125, and 25 kcal·mol− 1·Å−2 on backbone atoms only. The fifth step was composed of 5,000 cycles of the steepest descent algorithm followed by 15,000 cycles of the conjugate gradient algorithm without any restraint.
The equilibration MD simulations consisted of twelve steps: (i) first step involved 20 ps of gradual heating from 0 to 310 K at constant volume using Langevin dynamics, with harmonic restraints of 200 kcal·mol− 1·Å−2 on all heavy atoms of the protein, (ii) ten steps of 400 ps equilibration Langevin dynamics each at a constant temperature of 310 K and a constant pressure of 1 bar with decreasing harmonic restraints of 150, 100, 75, 50, 25, 15, 10, 5, 1, and 0.5 kcal·mol− 1·Å−2 on backbone atoms of the proteins, and (iii) the last step involving 400 ps of equilibration dynamics at a constant temperature of 310 K and a constant pressure of 1 bar with no restraint. The simulations employed periodic boundary conditions based on the particle mesh Ewald method80 for treatment of the long-range interactions beyond the 10 Å cut-off, the SHAKE algorithm81 to constrain the bonds that involve hydrogen atoms, and the Langevin temperature equilibration using a collision frequency of 1 ps− 1. After the equilibration, the number of Cl− and Na+ ions needed to reach 0.1 M salinity was calculated using the average volume of the system in the last equilibration step. The whole process was repeated, from the tLEaP step, to correct the number of the added ions.
Adaptive Steered Molecular Dynamics
The dimer dissociation trajectories were calculated with adaptive steered molecular dynamics (ASMD). The ASMD method applies constant external force on two atoms in the simulated systems. This can be used to either push two atoms from each other or pull them together to simulate unbinding/binding of ligands or dissociation/association of proteins. During ASMD, several parallel simulations are started from the same state. The simulation runs in stages where a chosen value changes the distance between selected atoms. At the end of each stage, the parallel simulations are collected and analyzed, and the Jarzynski average is calculated. The trajectory with its work value closest to the average is selected and the state at the end of this trajectory is used as the starting point for the next stage. For our purpose, we use the default values for setting up ASMD which were found in the tutorial for AMBER and the ASMD publication82. The simulations were run with 25 parallel MDs, steered by 2 Å stages of distance increments, with a velocity of 10 Å/ns, and a force of 7.2 N. The rest of the MD settings were set as in the last equilibration step. The atoms selected for steering were Cα atoms from Ile58 residues. The selected Cα atoms are from the dimer interface residues so that the two subunits could be pushed apart. This residue is a part of a β-barrel structure, which makes it suitable for steering since the structure is relatively rigid. The distance between the two Cα atoms was measured using Measurement Wizard in PyMOL57. The two subunits were steered apart for additional 20 Å. MD trajectories were analyzed and visualized in PyMOL57 using the smooth function and exported as movie (.mpg) files.