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Gurobi Optimization pareto front
Optimization results for designing peptides with high phase separation propensity ( c dense ) and low interfacial tension <t>(</t> <t>γ</t> ). (A) For random peptides and phase separating homopolymers, γ and c dense are strongly correlated. (B) Optimization converges within 8 iterations, yielding arginine- and tryptophan-rich <t>Pareto-optimal</t> sequences containing polyR patches. (C) Sequence feature analysis shows that net charge can, but does not necessarily, disrupt the γ – c dense correlation. (D) Constrained optimization limiting the number of aromatic amino acids and incorporating prior data converges rapidly to similar arginine-rich, positively charged sequences.
Pareto Front, supplied by Gurobi Optimization, used in various techniques. Bioz Stars score: 86/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Article Title: Engineering nanocondensate formation through sequence composition and patterning

Journal: bioRxiv

doi: 10.64898/2026.02.17.706365

Optimization results for designing peptides with high phase separation propensity ( c dense ) and low interfacial tension ( γ ). (A) For random peptides and phase separating homopolymers, γ and c dense are strongly correlated. (B) Optimization converges within 8 iterations, yielding arginine- and tryptophan-rich Pareto-optimal sequences containing polyR patches. (C) Sequence feature analysis shows that net charge can, but does not necessarily, disrupt the γ – c dense correlation. (D) Constrained optimization limiting the number of aromatic amino acids and incorporating prior data converges rapidly to similar arginine-rich, positively charged sequences.
Figure Legend Snippet: Optimization results for designing peptides with high phase separation propensity ( c dense ) and low interfacial tension ( γ ). (A) For random peptides and phase separating homopolymers, γ and c dense are strongly correlated. (B) Optimization converges within 8 iterations, yielding arginine- and tryptophan-rich Pareto-optimal sequences containing polyR patches. (C) Sequence feature analysis shows that net charge can, but does not necessarily, disrupt the γ – c dense correlation. (D) Constrained optimization limiting the number of aromatic amino acids and incorporating prior data converges rapidly to similar arginine-rich, positively charged sequences.

Techniques Used: Sequencing

Related Articles

Construct:

Article Title: Engineering nanocondensate formation through sequence composition and patterning
Article Snippet: .. For the exploitation component of the optimization, the Pareto front (50 sequences), based on the predicted c dense and ln γ objectives, was constructed with Gurobi using the ε -constrained method, from which 25 well-spaced points were selected for the next iteration. ..

Derivative Assay:

Article Title: Multi-objective metaheuristic approach for balancing and scheduling human-robot collaborative assembly lines with cognitive and ergonomic considerations
Article Snippet: Human-robot collaboration has become a significant approach in assembly lines to enhance efficiency, adaptability, and flexibility.. Following the human-centric vision of Industry 5.0, balancing production efficiency with the well-being of human operators is crucial for achieving humane and sustainable assembly.. This study addresses the assembly line balancing problemwith human-robot collaboration from a human-centric perspective, comprehensively incorporating three objectives: reducing cycle time, balancing cognitive load, and minimising ergonomic risks.

Generated:

Article Title: Multi-objective metaheuristic approach for balancing and scheduling human-robot collaborative assembly lines with cognitive and ergonomic considerations
Article Snippet: Human-robot collaboration has become a significant approach in assembly lines to enhance efficiency, adaptability, and flexibility.. Following the human-centric vision of Industry 5.0, balancing production efficiency with the well-being of human operators is crucial for achieving humane and sustainable assembly.. This study addresses the assembly line balancing problemwith human-robot collaboration from a human-centric perspective, comprehensively incorporating three objectives: reducing cycle time, balancing cognitive load, and minimising ergonomic risks.



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Optimization results for designing peptides with high phase separation propensity ( c dense ) and low interfacial tension <t>(</t> <t>γ</t> ). (A) For random peptides and phase separating homopolymers, γ and c dense are strongly correlated. (B) Optimization converges within 8 iterations, yielding arginine- and tryptophan-rich <t>Pareto-optimal</t> sequences containing polyR patches. (C) Sequence feature analysis shows that net charge can, but does not necessarily, disrupt the γ – c dense correlation. (D) Constrained optimization limiting the number of aromatic amino acids and incorporating prior data converges rapidly to similar arginine-rich, positively charged sequences.
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Optimization results for designing peptides with high phase separation propensity ( c dense ) and low interfacial tension <t>(</t> <t>γ</t> ). (A) For random peptides and phase separating homopolymers, γ and c dense are strongly correlated. (B) Optimization converges within 8 iterations, yielding arginine- and tryptophan-rich <t>Pareto-optimal</t> sequences containing polyR patches. (C) Sequence feature analysis shows that net charge can, but does not necessarily, disrupt the γ – c dense correlation. (D) Constrained optimization limiting the number of aromatic amino acids and incorporating prior data converges rapidly to similar arginine-rich, positively charged sequences.
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Optimization results for designing peptides with high phase separation propensity ( c dense ) and low interfacial tension <t>(</t> <t>γ</t> ). (A) For random peptides and phase separating homopolymers, γ and c dense are strongly correlated. (B) Optimization converges within 8 iterations, yielding arginine- and tryptophan-rich <t>Pareto-optimal</t> sequences containing polyR patches. (C) Sequence feature analysis shows that net charge can, but does not necessarily, disrupt the γ – c dense correlation. (D) Constrained optimization limiting the number of aromatic amino acids and incorporating prior data converges rapidly to similar arginine-rich, positively charged sequences.
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Optimization results for designing peptides with high phase separation propensity ( c dense ) and low interfacial tension <t>(</t> <t>γ</t> ). (A) For random peptides and phase separating homopolymers, γ and c dense are strongly correlated. (B) Optimization converges within 8 iterations, yielding arginine- and tryptophan-rich <t>Pareto-optimal</t> sequences containing polyR patches. (C) Sequence feature analysis shows that net charge can, but does not necessarily, disrupt the γ – c dense correlation. (D) Constrained optimization limiting the number of aromatic amino acids and incorporating prior data converges rapidly to similar arginine-rich, positively charged sequences.
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Optimization results for designing peptides with high phase separation propensity ( c dense ) and low interfacial tension <t>(</t> <t>γ</t> ). (A) For random peptides and phase separating homopolymers, γ and c dense are strongly correlated. (B) Optimization converges within 8 iterations, yielding arginine- and tryptophan-rich <t>Pareto-optimal</t> sequences containing polyR patches. (C) Sequence feature analysis shows that net charge can, but does not necessarily, disrupt the γ – c dense correlation. (D) Constrained optimization limiting the number of aromatic amino acids and incorporating prior data converges rapidly to similar arginine-rich, positively charged sequences.
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Optimization results for designing peptides with high phase separation propensity ( c dense ) and low interfacial tension <t>(</t> <t>γ</t> ). (A) For random peptides and phase separating homopolymers, γ and c dense are strongly correlated. (B) Optimization converges within 8 iterations, yielding arginine- and tryptophan-rich <t>Pareto-optimal</t> sequences containing polyR patches. (C) Sequence feature analysis shows that net charge can, but does not necessarily, disrupt the γ – c dense correlation. (D) Constrained optimization limiting the number of aromatic amino acids and incorporating prior data converges rapidly to similar arginine-rich, positively charged sequences.
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Image Search Results


Optimization results for designing peptides with high phase separation propensity ( c dense ) and low interfacial tension ( γ ). (A) For random peptides and phase separating homopolymers, γ and c dense are strongly correlated. (B) Optimization converges within 8 iterations, yielding arginine- and tryptophan-rich Pareto-optimal sequences containing polyR patches. (C) Sequence feature analysis shows that net charge can, but does not necessarily, disrupt the γ – c dense correlation. (D) Constrained optimization limiting the number of aromatic amino acids and incorporating prior data converges rapidly to similar arginine-rich, positively charged sequences.

Journal: bioRxiv

Article Title: Engineering nanocondensate formation through sequence composition and patterning

doi: 10.64898/2026.02.17.706365

Figure Lengend Snippet: Optimization results for designing peptides with high phase separation propensity ( c dense ) and low interfacial tension ( γ ). (A) For random peptides and phase separating homopolymers, γ and c dense are strongly correlated. (B) Optimization converges within 8 iterations, yielding arginine- and tryptophan-rich Pareto-optimal sequences containing polyR patches. (C) Sequence feature analysis shows that net charge can, but does not necessarily, disrupt the γ – c dense correlation. (D) Constrained optimization limiting the number of aromatic amino acids and incorporating prior data converges rapidly to similar arginine-rich, positively charged sequences.

Article Snippet: For the exploitation component of the optimization, the Pareto front (50 sequences), based on the predicted c dense and ln γ objectives, was constructed with Gurobi using the ε -constrained method, from which 25 well-spaced points were selected for the next iteration.

Techniques: Sequencing