American Journal of Applied Mathematics

| Peer-Reviewed |

Differential Incremental Equilibrium Geometry - Spatial Folding of Protein Particles, Genome Expression and Bidirectional Semiconservative Replication of Ring Chromosomes

Received: 13 July 2019    Accepted: 31 July 2019    Published: 12 September 2019
Views:       Downloads:

Share This Article

Abstract

The research direction of this paper is to study the interdisciplinary subjects of life science, mathematics and computer science at the molecular level from the life science Molecular Cell Biology. On the basis of mathematical primitive innovation "Differential Incremental Balanced Geometry", the cell modification of normal chromosome mitosis was established at the molecular level, and the normal cell tissue spatial morphology with initial boundary was established. DNA is used to unravel double helix and separate double strands to solve the protein skeleton structure of bi-directional Semi-Reserved replication of cyclic chromosomes in life sciences at the molecular level. Therefore, it establishes and reveals the duplication fork and bidirectional duplication of molecular cell biology model, the internal structure and regularity of cyclic chromosomes bound by cyclic DNA double helix and many proteins. New mathematics is integrated into the micro-activities of cell modification in life sciences. The topological geometric image of the solitary wavelet with supersymmetric structure is constructed, which reflects the correct abstract model of cell modification and provides dynamic structure for DNA gene sequencing, etc. It also provides a mature mathematical basis for reliable predictability of gene editing.

DOI 10.11648/j.ajam.20190704.12
Published in American Journal of Applied Mathematics (Volume 7, Issue 4, August 2019)

This article belongs to the Special Issue Molecular Cellular Information Mathematics-Differential Incremental Equilibrium Geometry

Page(s) 98-113
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Ring Chromosomes, Chromosome Mitosis, Molecular Cytobiology, Spatial Folding of Protein Particles, Cell Modification, Bidirectional Semi-reserved Replication

References
[1] C. Rogers W. K. Schief, Bäcklund and Darboux Transformations: Geometry and Modern Applications in Solition Theory, first published by Cambridge University, 2015: 1-292.
[2] Chen Zhonghu, Lie group guidance, Higher Education Press, 1997: 1-334.
[3] Ding Peizhu Wang Yi, Group and its Express, Higher Education Press, 1999: 1-468.
[4] E. M. Chirka, Complex Analytic Sets Mathematics and Its Applications, Kluwer Academic Publishers Gerald Karp, Cell and Molecular Biology: Concepts and Experiments (3e), Higher Education Press, 2005: 1-792.
[5] Gong Sheng, Harmonic Analysis on Typical Groups Monographs on pure mathematics and Applied Mathematics Number twelfth, Beijing China, Science Press, 1983: 1-314.
[6] Gu chaohao Hu Hesheng Zhou Zixiang, DarBoux Transformation in Solition Theory and Its Geometric Applications (The second edition), Shanghai science and technology Press, 1999, 2005: 1-271.
[7] Jari Kaipio Erkki Somersalo, Statistical and Computational Inverse Problems With 102 Figures, Spinger.
[8] Lou Senyue Tang Xiaoyan, Nonlinear Mathematical Physics Method, Beijing China, Science Press, 2006: 1-365.
[9] Numerical Treatment of Multi-Scale Problems Porceedings of the 13th GAMM-Seminar, Kiel, January 24-26, 1997 Notes on Numerical Fluid Mechanics Volume 70 Edited By WolfGang HackBusch and Gabriel Wittum.
[10] Qiu Chengtong Sun Licha, Differential Geometry Monographs on pure mathematics and Applied Mathematics Number eighteenth, Beijing China, Science Press, 1988: 1-403.
[11] Ren Fuyao, Complex Analytic Dynamic System, Shanghai China, Fudan University Press, 1996: 1-364.
[12] Shou Tiande, Neurobiology (2e), Higher Education Press, 2001, 2006: 1-548.
[13] Shou Tiande, Neurobiology, Higher Education Press, 2001, 2003: 1-470.
[14] Su Jingcun, Topology of Manifold, Wuhan China, wuhan university press, 2005: 1-708.
[15] W. Miller, Symmetry Group and Its Application, Beijing China, Science Press, 1981: 1-486.
[16] Wu Chuanxi Li Guanghan, Submanifold geometry, Beijing China, Science Press, 2002: 1-217.
[17] Xiao Gang, Fibrosis of Algebraic Surfaces, Shanghai China, Shanghai science and technology Press, 1992: 1-180.
[18] Zhang Wenxiu Qiu Guofang, Uncertain Decision Making Based on Rough Sets, Beijing China, tsinghua university press, 2005: 1-255.
[19] Zheng jianhua, Meromorphic Functional Dynamics System, Beijing China, tsinghua university press, 2006: 1-413.
[20] Zheng Weiwei, Complex Variable Function and Integral Transform, Northwest Industrial University Press, 2011: 1-396.
[21] ЛaBpHTЪeB M. A., ⅢaбaT Б. B., Methods of Function of a Complex Variable Originally published in Russian under the title, 1956, 2006: 1-287.
[22] Zhu Rong Rong, Differential incremental equilibrium geometry protein granule Space folding, genome expression and cell modification, Fudan University, Volume 1, 2015-04-1: 1-112.
[23] Zhu Rong Rong, Differential incremental equilibrium geometry-protein granule Space folding, genome expression and cell modification General solution of nonlinear class of isolated wavelet -- effective nuclear trace information, Fudan University, Volume 2, 2015-04-11: 1-185.
[24] Zhu Rong Rong, Differential incremental equilibrium geometry – Effects of Cerebral Groove and Protein Granule Motion on Thinking Space and Mental Activity, 4-Dimensional Super-high-end Super-spherical Convex Spherical Fiber Cluster, Residual Product-like Cluster Petal Microfibers, Fudan University, Volume 3, 2015-04-18: 1-227.
Author Information
  • Office of Human Resources, Fudan University, Shanghai, China

Cite This Article
  • APA Style

    Zhu Rong Rong. (2019). Differential Incremental Equilibrium Geometry - Spatial Folding of Protein Particles, Genome Expression and Bidirectional Semiconservative Replication of Ring Chromosomes. American Journal of Applied Mathematics, 7(4), 98-113. https://doi.org/10.11648/j.ajam.20190704.12

    Copy | Download

    ACS Style

    Zhu Rong Rong. Differential Incremental Equilibrium Geometry - Spatial Folding of Protein Particles, Genome Expression and Bidirectional Semiconservative Replication of Ring Chromosomes. Am. J. Appl. Math. 2019, 7(4), 98-113. doi: 10.11648/j.ajam.20190704.12

    Copy | Download

    AMA Style

    Zhu Rong Rong. Differential Incremental Equilibrium Geometry - Spatial Folding of Protein Particles, Genome Expression and Bidirectional Semiconservative Replication of Ring Chromosomes. Am J Appl Math. 2019;7(4):98-113. doi: 10.11648/j.ajam.20190704.12

    Copy | Download

  • @article{10.11648/j.ajam.20190704.12,
      author = {Zhu Rong Rong},
      title = {Differential Incremental Equilibrium Geometry - Spatial Folding of Protein Particles, Genome Expression and Bidirectional Semiconservative Replication of Ring Chromosomes},
      journal = {American Journal of Applied Mathematics},
      volume = {7},
      number = {4},
      pages = {98-113},
      doi = {10.11648/j.ajam.20190704.12},
      url = {https://doi.org/10.11648/j.ajam.20190704.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajam.20190704.12},
      abstract = {The research direction of this paper is to study the interdisciplinary subjects of life science, mathematics and computer science at the molecular level from the life science Molecular Cell Biology. On the basis of mathematical primitive innovation "Differential Incremental Balanced Geometry", the cell modification of normal chromosome mitosis was established at the molecular level, and the normal cell tissue spatial morphology with initial boundary was established. DNA is used to unravel double helix and separate double strands to solve the protein skeleton structure of bi-directional Semi-Reserved replication of cyclic chromosomes in life sciences at the molecular level. Therefore, it establishes and reveals the duplication fork and bidirectional duplication of molecular cell biology model, the internal structure and regularity of cyclic chromosomes bound by cyclic DNA double helix and many proteins. New mathematics is integrated into the micro-activities of cell modification in life sciences. The topological geometric image of the solitary wavelet with supersymmetric structure is constructed, which reflects the correct abstract model of cell modification and provides dynamic structure for DNA gene sequencing, etc. It also provides a mature mathematical basis for reliable predictability of gene editing.},
     year = {2019}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Differential Incremental Equilibrium Geometry - Spatial Folding of Protein Particles, Genome Expression and Bidirectional Semiconservative Replication of Ring Chromosomes
    AU  - Zhu Rong Rong
    Y1  - 2019/09/12
    PY  - 2019
    N1  - https://doi.org/10.11648/j.ajam.20190704.12
    DO  - 10.11648/j.ajam.20190704.12
    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
    SP  - 98
    EP  - 113
    PB  - Science Publishing Group
    SN  - 2330-006X
    UR  - https://doi.org/10.11648/j.ajam.20190704.12
    AB  - The research direction of this paper is to study the interdisciplinary subjects of life science, mathematics and computer science at the molecular level from the life science Molecular Cell Biology. On the basis of mathematical primitive innovation "Differential Incremental Balanced Geometry", the cell modification of normal chromosome mitosis was established at the molecular level, and the normal cell tissue spatial morphology with initial boundary was established. DNA is used to unravel double helix and separate double strands to solve the protein skeleton structure of bi-directional Semi-Reserved replication of cyclic chromosomes in life sciences at the molecular level. Therefore, it establishes and reveals the duplication fork and bidirectional duplication of molecular cell biology model, the internal structure and regularity of cyclic chromosomes bound by cyclic DNA double helix and many proteins. New mathematics is integrated into the micro-activities of cell modification in life sciences. The topological geometric image of the solitary wavelet with supersymmetric structure is constructed, which reflects the correct abstract model of cell modification and provides dynamic structure for DNA gene sequencing, etc. It also provides a mature mathematical basis for reliable predictability of gene editing.
    VL  - 7
    IS  - 4
    ER  - 

    Copy | Download

  • Sections