Natural Topology

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Regivan H N Santiago - One of the best experts on this subject based on the ideXlab platform.

  • Natural Topology via fuzzy metric
    IEEE International Conference on Fuzzy Systems, 2011
    Co-Authors: Fagner Santana, Regivan H N Santiago
    Abstract:

    In this paper, we propose a Natural way to define topologies by using fuzzy metrics; here the value of the distance between two points is a non-negative fuzzy number. With such Topology, we also define notions like continuity, convergent sequence, Cauchy sequences and complete spaces. As an application, we provide a fixed point theorem quite similar to the classical Banach's theorem.

  • FUZZ-IEEE - Natural Topology via fuzzy metric
    2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011), 2011
    Co-Authors: Fagner Santana, Regivan H N Santiago
    Abstract:

    In this paper, we propose a Natural way to define topologies by using fuzzy metrics; here the value of the distance between two points is a non-negative fuzzy number. With such Topology, we also define notions like continuity, convergent sequence, Cauchy sequences and complete spaces. As an application, we provide a fixed point theorem quite similar to the classical Banach's theorem.

Fagner Santana - One of the best experts on this subject based on the ideXlab platform.

  • Natural Topology via fuzzy metric
    IEEE International Conference on Fuzzy Systems, 2011
    Co-Authors: Fagner Santana, Regivan H N Santiago
    Abstract:

    In this paper, we propose a Natural way to define topologies by using fuzzy metrics; here the value of the distance between two points is a non-negative fuzzy number. With such Topology, we also define notions like continuity, convergent sequence, Cauchy sequences and complete spaces. As an application, we provide a fixed point theorem quite similar to the classical Banach's theorem.

  • FUZZ-IEEE - Natural Topology via fuzzy metric
    2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011), 2011
    Co-Authors: Fagner Santana, Regivan H N Santiago
    Abstract:

    In this paper, we propose a Natural way to define topologies by using fuzzy metrics; here the value of the distance between two points is a non-negative fuzzy number. With such Topology, we also define notions like continuity, convergent sequence, Cauchy sequences and complete spaces. As an application, we provide a fixed point theorem quite similar to the classical Banach's theorem.

Shahrima Maharubin - One of the best experts on this subject based on the ideXlab platform.

  • Hybrid Additive Microfabrication Scaffold Incorporated with Highly Aligned Nanofibers for Musculoskeletal Tissues
    Tissue Engineering and Regenerative Medicine, 2019
    Co-Authors: Dilshan Sooriyaarachchi, Hugo J. Minière, Shahrima Maharubin, George Z. Tan
    Abstract:

    Background:Latest tissue engineering strategies for musculoskeletal tissues regeneration focus on creating a biomimetic microenvironment closely resembling the Natural Topology of extracellular matrix. This paper presents a novel musculoskeletal tissue scaffold fabricated by hybrid additive manufacturing method.Methods:The skeleton of the scaffold was 3D printed by fused deposition modeling, and a layer of random or aligned polycaprolactone nanofibers were embedded between two frames. A parametric study was performed to investigate the effects of process parameters on nanofiber morphology. A compression test was performed to study the mechanical properties of the scaffold. Human fibroblast cells were cultured in the scaffold for 7 days to evaluate the effect of scaffold microstructure on cell growth. Results:The tip-to-collector distance showed a positive correlation with the fiber alignment, and the electrospinning time showed a negative correlation with the fiber density. With reinforced nanofibers, the hybrid scaffold demonstrated superior compression strength compared to conventional 3D-printed scaffold. The hybrid scaffold with aligned nanofibers led to higher cell attachment and proliferation rates, and a directional cell organization. In addition, there was a nonlinear relationship between the fiber diameter/density and the cell actinfilament density.Conclusion:This hybrid biofabrication process can be established as a highly efficient and scalable platform to fabricate biomimetic scaffolds with patterned fibrous microstructure, and will facilitate future development of clinical solutions for musculoskeletal tissue regeneration.

  • Hybrid Additive Microfabrication Scaffold Incorporated with Highly Aligned Nanofibers for Musculoskeletal Tissues
    Tissue Engineering and Regenerative Medicine, 2018
    Co-Authors: Dilshan Sooriyaarachchi, Hugo J. Minière, Shahrima Maharubin
    Abstract:

    Background: Latest tissue engineering strategies for musculoskeletal tissues regeneration focus on creating a biomimetic microenvironment closely resembling the Natural Topology of extracellular matrix. This paper presents a novel musculoskeletal tissue scaffold fabricated by hybrid additive manufacturing method.

Dilshan Sooriyaarachchi - One of the best experts on this subject based on the ideXlab platform.

  • Hybrid Additive Microfabrication Scaffold Incorporated with Highly Aligned Nanofibers for Musculoskeletal Tissues
    Tissue Engineering and Regenerative Medicine, 2019
    Co-Authors: Dilshan Sooriyaarachchi, Hugo J. Minière, Shahrima Maharubin, George Z. Tan
    Abstract:

    Background:Latest tissue engineering strategies for musculoskeletal tissues regeneration focus on creating a biomimetic microenvironment closely resembling the Natural Topology of extracellular matrix. This paper presents a novel musculoskeletal tissue scaffold fabricated by hybrid additive manufacturing method.Methods:The skeleton of the scaffold was 3D printed by fused deposition modeling, and a layer of random or aligned polycaprolactone nanofibers were embedded between two frames. A parametric study was performed to investigate the effects of process parameters on nanofiber morphology. A compression test was performed to study the mechanical properties of the scaffold. Human fibroblast cells were cultured in the scaffold for 7 days to evaluate the effect of scaffold microstructure on cell growth. Results:The tip-to-collector distance showed a positive correlation with the fiber alignment, and the electrospinning time showed a negative correlation with the fiber density. With reinforced nanofibers, the hybrid scaffold demonstrated superior compression strength compared to conventional 3D-printed scaffold. The hybrid scaffold with aligned nanofibers led to higher cell attachment and proliferation rates, and a directional cell organization. In addition, there was a nonlinear relationship between the fiber diameter/density and the cell actinfilament density.Conclusion:This hybrid biofabrication process can be established as a highly efficient and scalable platform to fabricate biomimetic scaffolds with patterned fibrous microstructure, and will facilitate future development of clinical solutions for musculoskeletal tissue regeneration.

  • Hybrid Additive Microfabrication Scaffold Incorporated with Highly Aligned Nanofibers for Musculoskeletal Tissues
    Tissue Engineering and Regenerative Medicine, 2018
    Co-Authors: Dilshan Sooriyaarachchi, Hugo J. Minière, Shahrima Maharubin
    Abstract:

    Background: Latest tissue engineering strategies for musculoskeletal tissues regeneration focus on creating a biomimetic microenvironment closely resembling the Natural Topology of extracellular matrix. This paper presents a novel musculoskeletal tissue scaffold fabricated by hybrid additive manufacturing method.

Angelo Felice Lopez - One of the best experts on this subject based on the ideXlab platform.