A brief survey of paradigmatic fractals from a topological perspective

J Patiño Ortiz, M Patiño Ortiz, MÁ Martínez-Cruz… - Fractal and …, 2023 - mdpi.com
The key issues in fractal geometry concern scale invariance (self-similarity or self-affinity)
and the notion of a fractal dimension D which exceeds the topological dimension d. In this …

Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension

O Tomchuk - Fractal and Fractional, 2023 - mdpi.com
This review article delves into the growing recognition of fractal structures in mesoscale
phenomena. The article highlights the significance of realistic fractal-like aggregate models …

Polymer self-assembly into unique fractal nanostructures in solution by a one-shot synthetic procedure

S Shin, ML Gu, CY Yu, J Jeon, E Lee… - Journal of the American …, 2018 - ACS Publications
A fractal nanostructure having a high surface area is potentially useful in sensors, catalysts,
functional coatings, and biomedical and electronic applications. Preparation of fractal …

Microstructure and composition of marine aggregates as co-determinants for vertical particulate organic carbon transfer in the global ocean

J Maerz, KD Six, I Stemmler, S Ahmerkamp… - …, 2020 - bg.copernicus.org
Marine aggregates are the vector for biogenically bound carbon and nutrients from the
euphotic zone to the interior of the oceans. To improve the representation of this biological …

[HTML][HTML] Stimulus-responsive self-assembly of protein-based fractals by computational design

NE Hernández, WA Hansen, D Zhu, ME Shea… - Nature …, 2019 - nature.com
Fractal topologies, which are statistically self-similar over multiple length scales, are
pervasive in nature. The recurrence of patterns in fractal-shaped branched objects, such as …

[HTML][HTML] Morphological Features of Mathematical and Real-World Fractals: A Survey

M Patiño-Ortiz, J Patiño-Ortiz, MÁ Martínez-Cruz… - Fractal and …, 2024 - mdpi.com
The aim of this review paper is to survey the fractal morphology of scale-invariant patterns.
We are particularly focusing on the scale and conformal invariance, as well as on the fractal …

[HTML][HTML] Modelling and experimental study on static yield stress evolution and structural build-up of cement paste in early stage of cement hydration

Y Ji, U Pott, A Mezhov, C Rößler, D Stephan - Cement and Concrete …, 2025 - Elsevier
Static yield stress is crucial for concrete, especially for 3D printed concrete, as it determines
whether the bottom layer can support the load of the subsequent layers or withstand any …

Recent progress in designing protein-based supramolecular assemblies

WA Hansen, SD Khare - Current Opinion in Structural Biology, 2020 - Elsevier
The design of protein-based assemblies is an emerging area in bionanotechnology with
wide ranging applications, from vaccines to smart biomaterials. Design approaches have …

Spatiotemporal modeling of mitochondrial network architecture

KB Holt, J Winter, S Manley, EF Koslover - PRX Life, 2024 - APS
In many cell types, mitochondria undergo extensive fusion and fission to form dynamic,
responsive network structures that contribute to a number of homeostatic, metabolic, and …

[HTML][HTML] Direct formation of nano-objects via in situ self-assembly of conjugated polymers

GI Peterson, S Yang, TL Choi - Polymer Chemistry, 2021 - pubs.rsc.org
Polymer self-assembly is a widely utilized method to prepare a wide range of nano-objects
in solution. Typically, preparation of such objects relies on the use of block copolymers and …