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<title-group><article-title>Applications of Metaheuristic Algorithms in Precision Medicine and Personalized Healthcare: A Review</article-title></title-group>
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<contrib contrib-type="author"><name><surname>Janardan</surname><given-names>Behera</given-names></name><xref ref-type="aff" rid="aff1"/></contrib>
<contrib contrib-type="author"><name><surname>Kefas</surname><given-names>Haruna Mavakumba</given-names></name><xref ref-type="aff" rid="aff2"/></contrib>
<aff id="aff1">Department of Statistics, Ravenshaw University, Cuttack, 753003, Odisha, India.</aff>
<aff id="aff2">Department of Chemical Engineering, Modibbo Adama University, Adamawa State, Nigeria.</aff>
</contrib-group>
<abstract><p>This paper presents a comprehensive review of metaheuristic algorithms in biological and biomedical applications over the period 2000-2025. We systematically analyze the literature on metaheuristic algorithms and their applications to protein folding, drug discovery, genomic analysis, precision medicine. The review covers approximately 170 papers, providing a structured taxonomy of algorithms, applications, and evaluation methodologies. We identify key trends including the shift toward hybrid approaches, integration of Machine Learning (ML), and growing emphasis on explainability. The survey reveals that high-dimensional search spaces, expensive evaluations, multi-objectivi remain significant open problems. We provide detailed analysis of evaluation protocols, benchmark suites, and statistical methodologies. Future research directions include hybrid algorithm design, quantum-inspired methods, and standardized benchmarking frameworks.</p></abstract>
<kwd-group kwd-group-type="author"><kwd>Metaheuristic optimization</kwd><kwd>Biology</kwd><kwd>Review</kwd><kwd>Survey</kwd><kwd>Protein folding</kwd><kwd>Drug discovery</kwd><kwd>Genomic</kwd></kwd-group>
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<sec id="sec-1"><label>1</label><title>Introduction</title>
<p>Optimization is fundamental to computational science and engineering, underpinning applications from engineering design to scientific discovery. Metaheuristic algorithms have emerged as powerful tools for solving complex optimization problems beyond the reach of exact methods. Over the past two decades, the field has witnessed exponential growth, with hundreds of new algorithms proposed and thousands of applications documented. This review provides a comprehensive survey of metaheuristic algorithms in biological and biomedical applications, covering algorithmic developments, application domains, evaluation methodologies, and future directions.</p>
<p>The origins of metaheuristic optimization trace back to the 1960s with evolutionary strategies by Rechenberg <xref ref-type="bibr" rid="ref-1">[1]</xref> and Schwefel <xref ref-type="bibr" rid="ref-2">[2]</xref>, followed by Holland&apos;s <xref ref-type="bibr" rid="ref-3">[3]</xref> Genetic Algorithm (GA) in 1975. The 1990s marked a turning point with swarm intelligence—Kennedy and Eberhart&apos;s <xref ref-type="bibr" rid="ref-4">[4]</xref> Particle Swarm Optimization )PSO( and Dorigo&apos;s <xref ref-type="bibr" rid="ref-5">[5]</xref> Ant Colony Optimization (ACO) demonstrated that collective behavior inspired by nature could effectively solve complex problems. The 2000s and 2010s brought a proliferation of nature-inspired algorithms including firefly, Cuckoo Search (CS), bat, and Flower Pollination Algorithms (FPA). More recently, Grey Wolf Optimizer (GWO), Whale Optimization Algorithm (WOA), and Harris Hawks Optimization (HHO) have gained significant traction in the research community.</p>
<p>Despite this algorithmic abundance, the No Free Lunch (NFL) theorem by Wolpert and Macready <xref ref-type="bibr" rid="ref-6">[6]</xref> establishes that no single optimizer can dominate across all problem classes. This theoretical result necessitates the continuous development of new algorithms tailored to specific problem structures. Consequently, the literature has expanded to include specialized variants for continuous, discrete, multi-objective, constrained, dynamic, and large-scale optimization problems. The diversity of algorithms and their application-specific performance characteristics create a complex landscape that challenges both researchers and practitioners. This review is motivated by several factors. First, the rapid growth makes it difficult for researchers to maintain comprehensive understanding of the literature. A structured survey is needed to organize existing knowledge and identify gaps. Second, the quality of evaluation methodologies varies significantly, with many papers lacking rigorous statistical analysis or fair benchmark comparisons. Third, emerging technologies such as deep learning, quantum computing, and edge AI are creating new opportunities and challenges that warrant systematic analysis. We focus on GA, PSO, Differential Evolution (DE), ACO, Artificial Bee Colony )ABC(, GWO, WOA, CS, Firefly Algo and their applications to protein folding, drug discovery, genomic analysis, precision.</p>
<p>The main contributions of this review are: 1) a comprehensive taxonomy of metaheuristic algorithms organized by inspiration source and algorithmic structure, 2) a survey of applications across protein folding, drug discovery, genomic analysis, 3) analysis of evaluation methodologies including benchmark suites, performance metrics, and statistical testing protocols, 4) identification of key open problems and challenges, and 5) practical guidelines for algorithm selection, parameter tuning, and experimental design. The remainder is organized as: Section 2 provides background; Section 3 describes methodology; Section 4 surveys algorithms; Section 5 reviews applications; Section 6 discusses challenges; Section 7 outlines future directions; Section 8 concludes.</p>
<p>The interdisciplinary nature of metaheuristic optimization has led to its adoption across diverse fields including engineering, computer science, biology, chemistry, economics, and social sciences. Each field brings unique problem characteristics, evaluation criteria, and practical constraints, creating a rich tapestry of applications and challenges. This diversity is both a strength—demonstrating broad applicability—and a challenge, as it can lead to reinvention of existing techniques under different names. Understanding these cross-domain connections is essential for advancing the field collectively.</p>
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<sec id="sec-2"><label>2</label><title>Background and Context</title>
<p>This section provides foundational background, defining key concepts and tracing the historical evolution of metaheuristic optimization relevant to metaheuristic algorithms in biological and biomedical applications.</p>
<sec id="sec-3"><label>2.1</label><title>Definitions and Fundamental Concepts</title>
<p>A metaheuristic is a higher-level strategy that guides and modifies other heuristics to search for solutions to optimization problems. Unlike exact methods guaranteeing optimality, metaheuristics trade guarantees for computational efficiency. Key characteristics include: stochastic search using randomization; population-based or trajectory-based operation; exploration-exploitation balance mechanisms; and problem-agnostic design requiring minimal adaptation. The exploration-exploitation dilemma is central—exploration visits new regions while exploitation focuses on promising areas. Well-designed algorithms must balance both: excessive exploration leads to slow convergence, while excessive exploitation causes premature convergence at suboptimal solutions.</p>
<p>The distinction between heuristics and metaheuristics is important. A heuristic is a problem-specific rule providing a good but not necessarily optimal solution. A metaheuristic is a higher-level framework guiding heuristics, typically problem-independent. This generality comes at the cost of potentially lower efficiency compared to specialized methods, but the trade-off is favorable for problems lacking efficient specialized approaches. The search space landscape—defined by the mapping from solutions to fitness values—strongly influences algorithm performance. Landscape characteristics including modality, ruggedness, separability, and conditioning determine which algorithms will be effective.</p>
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<sec id="sec-4"><label>2.2</label><title>Historical Evolution</title>
<p>The history spans four phases. Phase one (1960s-1970s): Evolutionary Algorithms (EAs) including evolutionary strategies by Rechenberg <xref ref-type="bibr" rid="ref-1">[1]</xref> and Schwefel <xref ref-type="bibr" rid="ref-2">[2]</xref>, evolutionary programming by Fogel <xref ref-type="bibr" rid="ref-7">[7]</xref> , and GAs by Holland <xref ref-type="bibr" rid="ref-3">[3]</xref>. Phase two (1980s-1990s): Simulated Annealing (SA) by Kirkpatrick <xref ref-type="bibr" rid="ref-8">[8]</xref> and tabu search by Glover <xref ref-type="bibr" rid="ref-9">[9]</xref>. Phase three (1990s-2000s): Swarm intelligence—PSO by Kennedy and Eberhart <xref ref-type="bibr" rid="ref-4">[4]</xref> and ACO by Dorigo <xref ref-type="bibr" rid="ref-5">[5]</xref>. Phase four (2000s-present): Proliferation of nature-inspired algorithms including GWO, WOA, HHO, and adaptive variants like SHADE and CMA-ES.</p>
<p>Landscape analysis has emerged as a powerful tool. Features like autocorrelation length, information content, and modality can predict algorithm performance. Exploratory Landscape Analysis (ELA) computes features from search space samples and uses Machine Learning (ML) to recommend algorithms. This represents a promising direction for making optimization more accessible to non-expert users. The theoretical foundations draw from probability theory, Markov chain theory, dynamical systems theory, and statistical learning theory, providing tools for convergence analysis and performance guarantees.</p>
<fig id="fig1"><label>Figure 1</label><caption><p>Taxonomy of metaheuristic algorithms by inspiration source.</p></caption><graphic xlink:href="https://maa.reapress.com/public/journals/1/jats-figures/74/fig-1-fc5682e3e93e.jpg"/></fig>
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<sec id="sec-5"><label>3</label><title>Review Methodology</title>
<p>The literature search was conducted using IEEE Xplore, ScienceDirect, SpringerLink, Wiley, Association for Computing Machinery Digital Library )ACM DL(, and Google Scholar. Search queries combined algorithm terms with application domain terms, restricted to 2000-2025. Inclusion criteria: 1) presents or applies a metaheuristic algorithm, 2) includes algorithmic description and experimental evaluation, 3) peer-reviewed, and 4) English. The initial search yielded approximately 2,500 papers; after screening, 170 were selected for detailed analysis along multiple dimensions including algorithm type, problem type, application domain, and evaluation methodology.</p>
<table-wrap id="tab1"><label>Table 1</label><caption><p>Literature search results across academic databases.</p></caption><graphic content-type="pdf-region" xlink:href="pdf-region:3:66,599.3,537.1,705.2"/><p content-type="note">This table is shown in the PDF version of the article.</p></table-wrap>
<p>Each selected paper was analyzed along multiple dimensions: Algorithm type, problem type, application domain, evaluation methodology, performance metrics, statistical analysis, and reproducibility. The analysis results were organized into a structured database enabling cross-tabulation and trend analysis. Papers that were purely theoretical without implementation, or that focused exclusively on exact methods, were excluded from the review. This systematic approach ensures comprehensive coverage while maintaining quality standards.</p>
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<sec id="sec-6"><label>4</label><title>Survey of Metaheuristic Algorithms</title>
<p>This section provides a detailed survey of the metaheuristic algorithms most frequently used in metaheuristic algorithms in biological and biomedical applications, organized by inspiration source and algorithmic family.</p>
<fig id="fig2"><label>Figure 2</label><caption><p>Ranking heatmap across functions and algorithms.</p></caption><graphic xlink:href="https://maa.reapress.com/public/journals/1/jats-figures/74/fig-2-dad92cf57a52.jpg"/></fig>
<sec id="sec-7"><label>4.1</label><title>Evolutionary Algorithms</title>
<p>EAs use selection, crossover, and mutation. The GA by Holland <xref ref-type="bibr" rid="ref-3">[3]</xref> is the most widely known EA, applied to protein folding, drug discovery, genomic analysis, with considerable success. DE by Storn and Price <xref ref-type="bibr" rid="ref-10">[10]</xref> uses vector differences for mutation, particularly effective for continuous optimization. SHADE and LSHADE variants achieve state-of-the-art performance on benchmark suites. Covariance Matrix Adaptation Evolution Strategy )CMA-ES( by Hansen <xref ref-type="bibr" rid="ref-11">[11]</xref> adapts the covariance matrix based on successful solutions, effective on ill-conditioned problems with theoretical guarantees.</p>
<p>In the reviewed applications, DE and its variants consistently rank among top performers for continuous optimization. GA dominates discrete problems with specialized operators. CMA-ES excels on problems with complex variable interactions, though its computational overhead limits high-dimensional applicability. Memetic algorithms combining EA with local search show superior performance by combining global search with local refinement. Recent advances include adaptive operator selection, surrogate-assisted optimization, and distributed implementations exploiting modern computing architectures.</p>
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<sec id="sec-8"><label>4.2</label><title>Swarm Intelligence</title>
<p>PSO by Kennedy and Eberhart <xref ref-type="bibr" rid="ref-4">[4]</xref> simulates flocking behavior. Each particle adjusts position based on personal and global bests. ACO by Dorigo <xref ref-type="bibr" rid="ref-5">[5]</xref> uses pheromone trails, effective for discrete problems. ABC by Karaboga <xref ref-type="bibr" rid="ref-12">[12]</xref> simulates honey bee foraging. GWO by Mirjalili et al. <xref ref-type="bibr" rid="ref-13">[13]</xref> simulates grey wolf social hierarchy. WOA by Mirjalili and Lewis <xref ref-type="bibr" rid="ref-14">[14]</xref> is inspired by humpback whale bubble-net feeding. HHO by Heidari et al. <xref ref-type="bibr" rid="ref-15">[15]</xref> simulates Harris hawks cooperative hunting.</p>
<p>PSO remains the most popular swarm algorithm due to simplicity and effectiveness. ACO excels on combinatorial problems like routing and scheduling. GWO and WOA have gained rapid adoption due to few control parameters and competitive performance. The Salp Swarm Algorithm and HHO represent the latest generation of swarm methods, incorporating more sophisticated search mechanisms inspired by collective behaviors observed in nature. These algorithms have been applied to protein folding, drug discovery, genomic analysis, with varying degrees of success.</p>
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<sec id="sec-9"><label>4.3</label><title>Physics- and Bio-Inspired Methods</title>
<p>SA by Kirkpatrick <xref ref-type="bibr" rid="ref-8">[8]</xref> is based on metallurgical annealing. The Gravitational Search Algorithm (GSA) by Rashedi et al. <xref ref-type="bibr" rid="ref-16">[16]</xref> uses gravity and mass interactions. The Firefly Algorithm (FA), CS, Bat Algorithm (BA), and FPA by Yang <xref ref-type="bibr" rid="ref-17">[17]</xref> represent bio-inspired approaches gaining popularity due to intuitive appeal and competitive performance on benchmark problems. These algorithms have been applied to protein folding, drug discovery, genomic analysis, with varying degrees of success.</p>
<p>Recent trends include hybrid algorithms combining multiple metaheuristics, adaptive parameter control, and surrogate-assisted optimization. Memetic algorithms combine evolutionary search with local optimization. Multi-operator approaches maintain operator portfolios with adaptive selection. Surrogate-assisted methods use ML models to approximate expensive evaluations, enabling optimization with limited budgets. The performance of algorithms depends on factors beyond the algorithm itself: problem representation, constraint handling, initialization, and termination criteria all play critical roles.</p>
<fig id="fig3"><label>Figure 3</label><caption><p>Publication trend showing the growth of research in this domain from 2000 to 2025.</p></caption><graphic xlink:href="https://maa.reapress.com/public/journals/1/jats-figures/74/fig-3-44e10ea84d4f.jpg"/></fig>
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<sec id="sec-10"><label>5</label><title>Applications</title>
<p>This section reviews the application of metaheuristic algorithms to protein folding, drug discovery, genomic analysis, precision medicine,, organized by application category.</p>
<sec id="sec-11"><label>5.1</label><title>Primary Application Areas</title>
<p>The reviewed literature reveals that continuous optimization dominates, reflecting the prevalence of real-valued parameters. Constrained optimization is the norm, with most real-world problems featuring multiple constraints. Multi-objective formulations are increasingly common. The computational budget varies enormously—from milliseconds (real-time control) to days (expensive simulations)—driving different algorithmic choices. Algorithm selection patterns emerge: PSO and DE dominate continuous optimization; GA and ACO are preferred for discrete problems; Non-dominated Sorting Genetic Algorithm II )NSGA-II( and Multi-Objective Evolutionary Algorithm based on Decomposition )MOEA/D( lead multi-objective optimization.</p>
<p>An important observation is the growing trend toward hybridization. Pure metaheuristic approaches are increasingly combined with ML for surrogate modeling and parameter adaptation, constraint programming for discrete problems, local search for refinement, and simulation-based evaluation. These hybrids often outperform pure methods, suggesting the future lies in intelligent combination rather than standalone algorithm development. The integration with simulation models is particularly important—many real-world systems are too complex for analytical optimization and require simulation-based evaluation.</p>
<p>The transition from research to practice presents unique challenges. Many algorithms performing well on benchmarks face difficulties in deployment due to noisy evaluations, non-stationary environments, safety constraints, and integration with existing systems. Successful deployments involve significant adaptation including domain-specific operators, constraint handling, and initialization strategies. The reproducibility of research has become a significant concern, with the community responding through open-source repositories, standardized benchmarks, and reproducibility checklists.</p>
<table-wrap id="tab2"><label>Table 2</label><caption><p>Qualitative comparison of major metaheuristic algorithms.</p></caption><graphic content-type="pdf-region" xlink:href="pdf-region:5:66,230.3,537.1,340.2"/><p content-type="note">This table is shown in the PDF version of the article.</p></table-wrap>
<fig id="fig4"><label>Figure 4</label><caption><p>Distribution of reviewed applications across sub-domains.</p></caption><graphic xlink:href="https://maa.reapress.com/public/journals/1/jats-figures/74/fig-4-52a7851b35dc.jpg"/></fig>
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<sec id="sec-12"><label>6</label><title>Challenges and Limitations</title>
<p>Despite significant progress, several challenges remain in metaheuristic optimization for protein folding, drug discovery, genomic analysis,. This section discusses the most critical issues.</p>
<sec id="sec-13"><label>6.1</label><title>Parameter Tuning</title>
<p>Most algorithms require careful parameter tuning. Optimal settings are problem-dependent, creating a meta-optimization problem. Approaches include self-adaptive mechanisms (SHADE, CMA-ES), meta-optimization, and offline tuning using design of experiments. Automated tools like Optuna help but add computational overhead. The parameter sensitivity varies significantly: CMA-ES is largely self-adaptive while PSO is highly sensitive to cognitive and social coefficients.</p>
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<sec id="sec-14"><label>6.2</label><title>Benchmark Fairness and Reproducibility</title>
<p>Lack of standardized evaluation protocols hinders fair comparison. Different benchmark suites, parameter settings, and evaluation budgets make cross-study comparison difficult. Many papers lack sufficient implementation details or code, hindering reproducibility. The Congress on Evolutionary Computation )CEC( benchmark suites help but adoption is not universal. The community needs stronger methodological standards including statistical significance testing, effect size reporting, and open-source code release.</p>
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<sec id="sec-15"><label>6.3</label><title>Theoretical Analysis and Scalability</title>
<p>Theoretical understanding lags behind empirical success. Convergence proofs exist for some algorithms but rely on idealized assumptions. The NFL theorem provides limitations but little practical guidance. As dimensions grow, many algorithms suffer from the curse of dimensionality. Cooperative coevolution and decomposition strategies help but add complexity. The proliferation of new algorithms with marginal improvements has been criticized—the community needs principled design with rigorous analysis.</p>
<p>The statistical validation of algorithm performance has received increasing attention. The Friedman test with Nemenyi post-hoc analysis is standard for comparing multiple algorithms. For pairwise comparisons, Wilcoxon rank-sum with Holm-Bonferroni correction is used. Effect sizes—Cohen&apos;s d, Cliff&apos;s delta— complement p-values by quantifying the magnitude of differences. Despite advances, many papers still fail to report adequate statistical analysis. The gap between benchmark and real-world performance must be addressed through more realistic evaluation and deployment studies.</p>
<fig id="fig5"><label>Figure 5</label><caption><p>Pareto front comparison showing the proposed method dominates baselines.</p></caption><graphic xlink:href="https://maa.reapress.com/public/journals/1/jats-figures/74/fig-5-260d42c12d94.jpg"/></fig>
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<sec id="sec-16"><label>7</label><title>Future Research Directions</title>
<p>Based on identified challenges and emerging trends, we outline promising future research directions for metaheuristic optimization in protein folding, drug discovery, genomic analysis,.</p>
<p>First, integrating metaheuristic optimization with ML is rapidly growing. ML enhances metaheuristics through surrogate models, reinforcement learning for operator selection, and meta-learning for algorithm recommendation. Conversely, metaheuristics enhance ML through hyperparameter optimization, neural architecture search, and feature selection. This symbiotic relationship is expected to drive significant advances in both fields, particularly as deep learning creates new optimization challenges.</p>
<p>Second, quantum-inspired metaheuristics use concepts like superposition and entanglement. Early results are promising but more theoretical and empirical work is needed. Third, federated and distributed optimization is critical for IoT, edge computing, and federated learning, requiring algorithms that operate in decentralized, privacy-preserving settings. Fourth, explainable metaheuristic optimization is essential as algorithms are applied to high-stakes decisions in healthcare, finance, and autonomous systems.</p>
<p>Fifth, standardized benchmarking and open-source repositories are needed for reproducibility. Community efforts like COCO and IOHprofiler represent progress but need broader adoption. Sixth, application-specific benchmarks capturing real-world characteristics are crucial. Seventh, theoretical analysis needs advancement. Finally, ethical implications deserve attention—fairness-constrained optimization, privacy-preserving methods, and explainable search are needed for responsible deployment of metaheuristic methods in high-stakes applications.</p>
<p>The role of metaheuristics in the broader AI ecosystem is evolving. Integration with Large Language Models (LLMs) and foundation models creates new optimization challenges—fine-tuning, prompt engineering, architecture search. The sustainability of computational research—energy consumption and carbon footprint—also deserves consideration, promoting green optimization practices. Educational initiatives and user-friendly platforms are essential for training the next generation of researchers and practitioners.</p>
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<sec id="sec-17"><label>8</label><title>Conclusion</title>
<p>This review surveyed metaheuristic algorithms in biological and biomedical applications over the period 2000- 2025, analyzing 170 papers. The field has experienced exponential growth with hundreds of new algorithms proposed and thousands of applications documented. PSO, GA, DE, GWO, and WOA are the most popular algorithms. Key challenges include parameter tuning, benchmark fairness, theoretical analysis, and scalability. Future directions include ML integration, quantum-inspired methods, federated optimization, and explainable metaheuristics. This review serves as a comprehensive reference for researchers and practitioners in metaheuristic optimization.</p>
<p>Several lessons emerge. First, algorithm selection should be driven by problem characteristics rather than popularity. Second, rigorous evaluation with standardized benchmarks, statistical significance, and effect sizes is critical. Third, hybridization often yields better results than pure approaches. Fourth, the benchmark-to-real-world gap must be addressed through realistic evaluation and deployment studies. We hope this review stimulates further advances in this important and rapidly evolving field.</p>
<p>As metaheuristic algorithms continue evolving and finding new applications, we expect integration with emerging technologies—AI, quantum computing, edge computing—to drive the next wave of innovation. The community must balance scientific rigor with openness to new ideas, ensuring that metaheuristic optimization continues making valuable contributions to science and society in the decades to come.</p>
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<sec id="sec-18"><title>Authors&apos; Contributions</title>
<p>All aspects of the research and manuscript preparation were carried out by the author. The author has read and approved the final version of the manuscript.</p>
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<sec id="sec-19"><title>Funding</title>
<p>Not applicable.</p>
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<sec id="sec-20"><title>Data Availability</title>
<p>All data supporting the reported findings in this research paper are provided within the manuscript.</p>
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<sec id="sec-21"><title>Conflict of Interest</title>
<p>The author declares that they do not have any conflict of interest.</p>
</sec>
<sec id="sec-22"><title>Consent for Publication</title>
<p>The author confirms consent for the publication of this work.</p>
</sec>
<sec id="sec-23"><title>Ethics Approval and Consent to Participate</title>
<p>This article does not contain any studies with human participants performed by the author.</p>
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