2. Methodology and Predicted Results
The methodology developed in this study is designed to address one of the principal unresolved barriers in de novo symmetric protein cage engineering: the inability to reliably convert computationally designed assemblies into experimentally validated nanocages with high fidelity and low rates of kinetic failure. The proposed framework integrates symmetry analysis, rigid-body docking, generative backbone modeling, neural-network sequence optimization, structural confidence filtering, and experimentally compatible expression validation into a unified multistage pipeline. The workflow is specifically optimized for the computational generation of a two-component icosahedral protein nanocage consisting of sixty total subunits and exhibiting an approximate external diameter of 25 nm.
The starting design conditions are intentionally constrained to maximize experimental realism and computational tractability. The target geometry is an icosahedral nanocage possessing global I symmetry and assembled from trimeric and dimeric oligomeric building blocks. Component A serves as a C3-symmetric trimeric scaffold, whereas Component B serves as a C2-symmetric dimeric scaffold. The use of a two-component system is intended to reduce spontaneous single-component aggregation and improve stoichiometric control during self-assembly [
6]. Expression conditions are assumed to involve cytoplasmic production in
Escherichia coli without disulfide-bond stabilization, thereby ensuring compatibility with high-throughput recombinant expression workflows. Purification is assumed to occur through His-tag affinity chromatography under native aqueous conditions. Candidate scaffold proteins are selected from the Protein Data Bank (PDB) based on their thermostability, solubility, helical bundle architecture, and experimentally validated oligomerization behavior [
22]. The assembly environment is restricted to phosphate-buffered saline at physiological ionic strength and neutral pH in order to model biologically relevant aqueous assembly conditions. Computational filtering assumptions further specify that AlphaFold2-Multimer predictions must exhibit per-residue pLDDT values greater than 85 and interface predicted aligned error values below 10 Å to qualify as high-confidence assemblies [
11].
Step 1: Definition of Target Symmetry and Identification of Scaffold Proteins
The first stage of the proposed workflow transforms the abstract geometric objective of constructing an icosahedral nanocage into a set of explicit symmetry constraints and experimentally tractable scaffold candidates. This step is necessary because successful self-assembly requires precise alignment between local oligomeric symmetry axes and the global symmetry architecture of the target polyhedron [
1,
6]. Icosahedral symmetry contains rotational axes corresponding to twofold, threefold, and fivefold operations, and therefore requires oligomeric building blocks capable of geometrically compatible spatial arrangement. The selected design strategy employs trimeric and dimeric protein scaffolds because C3 and C2 symmetry axes naturally map onto icosahedral rotational symmetry elements while minimizing interface redundancy.
Candidate scaffold proteins are identified from the RCSB Protein Data Bank using filters emphasizing small size, high solubility, thermal stability, and predominantly α-helical secondary structure. Helical bundle proteins are prioritized because their relatively rigid backbones and modular geometry simplify interface engineering and reduce conformational entropy penalties during assembly [
1]. Experimentally characterized trimeric and dimeric coiled-coil proteins are specifically targeted because they provide preorganized oligomerization states that reduce the complexity of de novo symmetry generation. Structural symmetry analysis is subsequently performed using symmetry-space orientation tools to identify scaffold geometries compatible with icosahedral lattice placement [
23].
This stage accomplishes several critical objectives simultaneously. First, it constrains the design search space to experimentally realistic protein architectures. Second, it establishes the geometric compatibility necessary for subsequent docking operations. Third, it reduces the probability of catastrophic assembly incompatibilities arising during later stages of interface optimization. The transformation achieved in this step converts an abstract symmetry target into a physically realizable collection of oligomeric scaffold candidates with known structural behavior and experimentally validated folding properties.
Step 2: Symmetric Docking to Generate Cage Configurations
Following scaffold selection, the next stage involves rigid-body symmetric docking using the Rosetta macromolecular modeling suite [
24]. The objective of this step is to generate candidate cage configurations in which trimeric and dimeric building blocks occupy geometrically compatible orientations consistent with global icosahedral symmetry. This stage is essential because even highly stable oligomeric scaffolds cannot form productive assemblies unless their relative rotational and translational relationships satisfy strict geometric constraints.
Rosetta symmetric docking protocols systematically explore rotational and translational degrees of freedom while enforcing predefined symmetry operations corresponding to the target icosahedral architecture [
24]. During this process, the C3 trimeric building blocks are positioned along threefold symmetry axes, whereas the C2 dimeric components are aligned along twofold axes. Interface regions are evaluated according to shape complementarity, steric compatibility, hydrogen bonding potential, buried surface area, and overall energetic favorability. Candidate docked configurations exhibiting steric clashes or insufficient interface contact areas are eliminated.
This stage accomplishes the transformation of isolated oligomeric scaffolds into preliminary cage-like assemblies possessing coherent global symmetry. Importantly, the docking process also establishes the initial interface geometries that later serve as substrates for generative backbone optimization. Without this step, interface generation would occur in geometrically unconstrained conformational space, substantially increasing the likelihood of nonphysical assembly solutions. The use of explicit symmetry constraints further reduces computational complexity by limiting the search space to arrangements consistent with icosahedral rotational operations.
Step 3: De Novo Interface Design Using RFdiffusion
The third stage employs RFdiffusion to generate de novo interface backbone structures optimized for symmetric assembly formation [
9]. This stage addresses a major limitation of classical rigid-body docking approaches, namely that docked interfaces often exhibit geometric strain, insufficient packing quality, or unrealistic backbone conformations. RFdiffusion overcomes these limitations by using diffusion-based generative modeling to create entirely new backbone segments capable of mediating stable intercomponent interactions.
The process begins with the docked cage configurations generated in Step 2. Interface regions between trimeric and dimeric components are designated as generative design targets. RFdiffusion iteratively denoises randomly initialized backbone conformations while conditioning the generation process on the spatial geometry of the target assembly [
9]. Through this process, the model constructs novel interface helices, loops, and connecting motifs that maximize structural compatibility while minimizing strain energy.
This stage is necessary because successful self-assembly requires interfaces capable of simultaneously satisfying geometric specificity, energetic stability, and kinetic accessibility. Traditional rigid-body optimization frequently fails because naturally occurring scaffolds are not evolutionarily optimized for artificial polyhedral assembly. RFdiffusion effectively expands the accessible design landscape by generating backbone architectures specifically tailored for the intended cage geometry. Furthermore, because the generative process explores broad conformational distributions rather than local deterministic minima, the resulting interfaces are predicted to exhibit improved designability and reduced frustration.
The transformation achieved during this stage converts geometrically plausible but energetically incomplete docked assemblies into structurally coherent nanocage architectures possessing de novo engineered interfaces specifically optimized for symmetric assembly formation.
Step 4: Sequence Design Using ProteinMPNN
Once backbone geometries have been generated, amino acid sequences compatible with the designed structures must be identified. This objective is accomplished using ProteinMPNN, a graph neural network–based sequence design framework trained on large-scale protein structural datasets [
10]. ProteinMPNN evaluates local and global geometric relationships within the designed backbone and predicts amino acid identities capable of stabilizing the structure while preserving assembly specificity.
The generated backbone structures from RFdiffusion are provided as inputs to ProteinMPNN. Residues located at designed interfaces receive special attention because these positions determine assembly specificity, oligomerization kinetics, and interface stability. Hydrophobic packing interactions are optimized within buried regions, whereas solvent-exposed regions are enriched in polar or charged residues to reduce nonspecific aggregation. Sequence generation is performed iteratively, producing multiple candidate sequence sets for each backbone architecture.
This step is necessary because backbone geometry alone does not guarantee physical realizability. The designed sequences must support correct folding, maintain oligomeric stability, and preserve assembly specificity under experimental conditions. ProteinMPNN succeeds in this regard because it implicitly learns evolutionary constraints linking sequence patterns to structural stability. Additionally, the neural-network framework allows efficient exploration of sequence space without exhaustive combinatorial enumeration.
The transformation achieved in this stage converts abstract backbone structures into fully specified protein sequences encoding the structural and assembly information necessary for nanocage formation. The resulting sequences represent experimentally synthesizable genetic blueprints for self-assembling protein architectures.
Step 5: AF2-Multimer Computational Filtering
Following sequence generation, the proposed workflow employs AlphaFold2-Multimer computational filtering to evaluate foldability, interface confidence, and assembly accuracy prior to experimental synthesis [
11]. This stage functions as a computational quality-control checkpoint designed to eliminate unstable or geometrically inconsistent designs before costly laboratory validation.
Each candidate sequence pair is evaluated using AlphaFold2-Multimer or ColabFold implementations configured for multimeric assembly prediction. Predicted structures are compared against the intended design models using root-mean-square deviation metrics, interface predicted aligned error values, and per-residue pLDDT (predicted Local Distance Difference Test) confidence scores. Only assemblies exhibiting RMSD values below 1.5 Å, pLDDT values above 85, and interface PAE (Predicted Aligned Error) values below 10 Å are advanced for experimental consideration.
This filtering stage is necessary because even highly optimized sequence designs may fail to adopt the intended conformations under realistic folding conditions. AlphaFold2-Multimer predictions provide an additional layer of structural validation by evaluating whether the designed sequences encode sufficiently strong energetic information to reproduce the intended assembly geometry. Importantly, this stage also helps identify interfaces vulnerable to conformational ambiguity or competing assembly states.
The transformation accomplished during this step narrows a large candidate pool into a high-confidence subset of experimentally tractable nanocage designs. By computationally eliminating likely failures, the workflow substantially reduces the empirical screening burden associated with protein nanomaterial development.
Step 6: Gene Synthesis, E. coli Expression, Purification, and Assembly Validation
The final stage of the workflow transitions from computational prediction to experimental realization. Synthetic genes encoding the optimized Component A and Component B sequences are codon optimized for
E. coli expression and inserted into plasmid vectors containing inducible promoters and C-terminal His-tags [
25]. Expression is assumed to occur within the cytoplasm of
E. coli strains optimized for recombinant protein production.
Following expression, proteins are purified using nickel-affinity chromatography under native conditions. Purified components are subsequently mixed in stoichiometric ratios within phosphate-buffered saline containing 150 mM NaCl at pH 7.4. Assembly formation is monitored using size-exclusion chromatography, dynamic light scattering, native gel electrophoresis, and cryogenic electron microscopy. Successful cage formation is predicted to produce monodisperse particles approximately 25 nm in diameter consistent with the designed icosahedral architecture.
This stage is necessary because computational predictions alone cannot fully capture intracellular folding behavior, translational kinetics, or solution-phase assembly dynamics. Experimental validation therefore serves as the ultimate determinant of design success. The use of E. coli expression systems additionally ensures compatibility with scalable recombinant production workflows.
The transformation achieved in this stage converts digitally encoded structural information into physically realized nanoscale protein assemblies capable of experimental characterization and downstream functional application.
Final Predicted Outcome: Transformation of Starting Materials
The final predicted outcome of the proposed workflow is the successful transformation of generic oligomeric scaffold proteins and an abstract icosahedral symmetry target into experimentally realizable protein sequences encoding a stable 60-subunit self-assembling nanocage. Through sequential symmetry analysis, rigid-body docking, RFdiffusion backbone generation, ProteinMPNN sequence optimization, and AlphaFold2-Multimer computational filtering, the workflow is predicted to generate highly specific interfaces capable of directing efficient assembly while minimizing off-pathway oligomerization and kinetic trapping.
The resulting nanocage is predicted to exhibit several key characteristics. First, the assembly should maintain geometric fidelity to the intended icosahedral architecture with an external diameter near 25 nm. Second, the two-component design is predicted to substantially reduce nonspecific self-association relative to single-component systems. Third, RFdiffusion-generated interfaces are expected to exhibit lower geometric strain and improved energetic complementarity compared with interfaces generated solely through rigid-body docking. Fourth, ProteinMPNN optimization combined with AlphaFold2-Multimer filtering is predicted to increase the proportion of experimentally realizable sequences by eliminating candidates with poor foldability or ambiguous interface geometry. Finally, the integrated workflow as a whole is expected to significantly improve experimental success rates relative to conventional protein cage design methodologies.
Collectively, the proposed framework represents a comprehensive transformation pipeline in which generic structural scaffolds and abstract symmetry specifications are progressively converted into programmable biomolecular assemblies encoding robust self-organization behavior at the nanoscale.