Mathematical Modeling of Complex Entangled Structures
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".
Deadline for manuscript submissions: 28 February 2025 | Viewed by 493
Special Issue Editors
Interests: knot theory; braid groups; knot algebras; skein modules; low-dimensional topology; applications
Special Issue Information
Dear Colleagues,
Welcome to the Special Issue on "Mathematical modeling of complex entangled structures". This Issue aims to highlight the latest breakthroughs and ongoing research in the intricate fields of knot theory and the topology of entangled structures. The mathematical modeling of complex entangled structures is very important in many fields of science, such as physics (quantum entanglements), chemistry (molecular frameworks, polymers), materials science (metamaterials, nanomaterials, textiles), and life science (DNA structure). This Issue will delve into theoretical developments, computational techniques, and practical applications, exploring how these complex structures influence and interact with each other.
We invite researchers to submit their research articles, reviews, and technical notes, fostering a deeper understanding of these fascinating topological phenomena. Submissions may address, but are not limited to, the following topics:
- Knot theory.
- Applications of low-dimensional topology.
- Mathematical modeling of knotted structures.
- Periodic entanglements.
- The geometry and topology of fabric-like materials.
- Topology in chemistry and biology.
- The topology of DNA.
All submissions will undergo a standard peer-review process to ensure the inclusion of high-quality and impactful research in this Special Issue. We believe this Special Issue will provide a comprehensive understanding of knot theory and its applications, paving the way for innovative strategies and advancements across various academic and industrial domains.
Dr. Ioannis Diamantis
Guest Editor
Dr. Sonia Mahmoudi
Guest Editor Assistant
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- knot theory
- knot classification
- mathematical modeling
- computational topology
- applications in biology, chemistry, and physics
- periodic entanglements and fabric structures
- low-dimensional topology
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