ReviewBiomaterials2019
A healthy dose of chaos: Using fractal frameworks for engineering higher-fidelity biomedical systems.
Review in Biomaterials, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
14 citing papers in PubMed.
- A Novel Chaos-inspired Artificial Intelligence-based Model for Keratoconus Prediction.Journal of ophthalmic & vision research · 2026Article
- Biomimetic fractal topography enhances podocyte maturation in vitro.Nature communications · 2025Article
- Modeling chaotic diabetes systems using fully recurrent neural networks enhanced by fractional-order learning.Scientific reports · 2025Article
- Principles Entailed by Complexity, Crucial Events, and Multifractal Dimensionality.Entropy (Basel, Switzerland) · 2025Article
- A novel chaotic system with one absolute term: stability, ultimate boundedness, and image encryption.Heliyon · 2025Article
- Fractal analysis of peripheral blood neutrophil chromatin in patients infected with Trypanosoma cruzi and/or HIV correlates with left ventricle ejection fraction, T CD4+, and T CD8+ lymphocytes levels.Brazilian journal of medical and biological research = Revista brasileira de pesquisas medicas e biologica · 2025Article
- Symmetry and asymmetry in atherosclerosis.International journal of occupational medicine and environmental health · 2023Review
- The Fractal Viewpoint of Tumors and Nanoparticles.Current medicinal chemistry · 2023Review
- Fractal analysis of rat dermal tissue in the different injury states.International wound journal · 2022Article
- Myotendinous Junction: Exercise Protocols Can Positively Influence Their Development in Rats.Biomedicines · 2022Article
- Control and Anticontrol of chaos in Fractional-order models of Diabetes, HIV, Dengue, Migraine, Parkinson's and Ebola Virus diseases.Chaos, solitons, and fractals · 2021Article
- Controlling chaos by the system size.Scientific reports · 2021Article
- Fractal Design Boosts Extrusion-Based 3D Printing of Bone-Mimicking Radial-Gradient Scaffolds.Research (Washington, D.C.) · 2021Article
- Adaptive Capacities and Complexity of Heart Rate Variability in Patients With Chronic Obstructive Pulmonary Disease Throughout Pulmonary Rehabilitation.Frontiers in physiology · 2021Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
3 authors.
Funding
Abstract
Optimal levels of chaos and fractality are distinctly associated with physiological health and function in natural systems. Chaos is a type of nonlinear dynamics that tends to exhibit seemingly random structures, whereas fractality is a measure of the extent of organization underlying such structures. Growing bodies of work are demonstrating both the importance of chaotic dynamics for proper function of natural systems, as well as the suitability of fractal mathematics for characterizing these systems. Here, we review how measures of fractality that quantify the dose of chaos may reflect the state of health across various biological systems, including: brain, skeletal muscle, eyes and vision, lungs, kidneys, tumours, cell regulation, skin and wound repair, bone, vasculature, and the heart. We compare how reports of either too little or too much chaos and fractal complexity can be damaging to normal biological function, and suggest that aiming for the healthy dose of chaos may be an effective strategy for various biomedical applications. We also discuss rising examples of the implementation of fractal theory in designing novel materials, biomedical devices, diagnostics, and clinical therapies. Finally, we explain important mathematical concepts of fractals and chaos, such as fractal dimension, criticality, bifurcation, and iteration, and how they are related to biology. Overall, we promote the effectiveness of fractals in characterizing natural systems, and suggest moving towards using fractal frameworks as a basis for the research and development of better tools for the future of biomedical engineering.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.