Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements

Ernesto Borges Batista; Luis Alberto Escalona Fernandez; Kirelis Napoles Dominguez; Yamila Ochoa Sarmiento; Claudia del Carmen Pupo Marrero

doi:doi:10.11648/j.acm.20211002.12

Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements

Ernesto Borges Batista, Luis Alberto Escalona Fernandez, Kirelis Napoles Dominguez, Yamila Ochoa Sarmiento, Claudia del Carmen Pupo Marrero

Published in Applied and Computational Mathematics (Volume 10, Issue 2)

Received: 11 December 2020 Accepted: 7 January 2021 Published: 16 June 2021

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Abstract

Aims: Fractal for comparison of radiological imagery between morphologic and pathological elements confirms the behavior of the experimental information through dimension itself. The irregularity of the human body is its own characteristic. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Method: they use the theoretic methods: Analysis synthesis, induction deduction and abstraction concretion. Processes of understanding, explanation and interpretation. Methods, procedures and mathematical algorithms, as well as information-technology professional programs are applicable. Come true quest of information about the application of dimension fractal in the diagnostic one belonging to diseases, based in radiological imagery. The diagnostic method fractal consists in the calculation of dimension for three cellular objects defined as: the nucleus, the cytoplasm without a nucleus and the entire cell. Results: Methods and procedures to ratify diseases, where the different authors yield a mathematical model, propose which themselves fractal for the comparison of histological and pathological elements confirms the behavior of the experimental data represented in radiological imagery, by means of dimension. About fractal geometry, the fractal dimension is obtained, which is a numerical measure that represents the degree of irregularity of an object. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Conclusions: A methodology of work based in radiological imagery by comparison of histological and pathological elements to determine different diseases in patients becomes established.

Published in	Applied and Computational Mathematics (Volume 10, Issue 2)
DOI	10.11648/j.acm.20211002.12
Page(s)	40-45
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), 2021. Published by Science Publishing Group

Keywords

Experimental Data, Mathematical Model, Medical Applications

References

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Ernesto Borges Batista, Luis Alberto Escalona Fernandez, Kirelis Napoles Dominguez, Yamila Ochoa Sarmiento, Claudia del Carmen Pupo Marrero. (2021). Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements. Applied and Computational Mathematics, 10(2), 40-45. https://doi.org/10.11648/j.acm.20211002.12

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Ernesto Borges Batista; Luis Alberto Escalona Fernandez; Kirelis Napoles Dominguez; Yamila Ochoa Sarmiento; Claudia del Carmen Pupo Marrero. Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements. Appl. Comput. Math. 2021, 10(2), 40-45. doi: 10.11648/j.acm.20211002.12

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AMA Style

Ernesto Borges Batista, Luis Alberto Escalona Fernandez, Kirelis Napoles Dominguez, Yamila Ochoa Sarmiento, Claudia del Carmen Pupo Marrero. Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements. Appl Comput Math. 2021;10(2):40-45. doi: 10.11648/j.acm.20211002.12

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@article{10.11648/j.acm.20211002.12,
  author = {Ernesto Borges Batista and Luis Alberto Escalona Fernandez and Kirelis Napoles Dominguez and Yamila Ochoa Sarmiento and Claudia del Carmen Pupo Marrero},
  title = {Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements},
  journal = {Applied and Computational Mathematics},
  volume = {10},
  number = {2},
  pages = {40-45},
  doi = {10.11648/j.acm.20211002.12},
  url = {https://doi.org/10.11648/j.acm.20211002.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20211002.12},
  abstract = {Aims: Fractal for comparison of radiological imagery between morphologic and pathological elements confirms the behavior of the experimental information through dimension itself. The irregularity of the human body is its own characteristic. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Method: they use the theoretic methods: Analysis synthesis, induction deduction and abstraction concretion. Processes of understanding, explanation and interpretation. Methods, procedures and mathematical algorithms, as well as information-technology professional programs are applicable. Come true quest of information about the application of dimension fractal in the diagnostic one belonging to diseases, based in radiological imagery. The diagnostic method fractal consists in the calculation of dimension for three cellular objects defined as: the nucleus, the cytoplasm without a nucleus and the entire cell. Results: Methods and procedures to ratify diseases, where the different authors yield a mathematical model, propose which themselves fractal for the comparison of histological and pathological elements confirms the behavior of the experimental data represented in radiological imagery, by means of dimension. About fractal geometry, the fractal dimension is obtained, which is a numerical measure that represents the degree of irregularity of an object. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Conclusions: A methodology of work based in radiological imagery by comparison of histological and pathological elements to determine different diseases in patients becomes established.},
 year = {2021}
}

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TY  - JOUR
T1  - Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements
AU  - Ernesto Borges Batista
AU  - Luis Alberto Escalona Fernandez
AU  - Kirelis Napoles Dominguez
AU  - Yamila Ochoa Sarmiento
AU  - Claudia del Carmen Pupo Marrero
Y1  - 2021/06/16
PY  - 2021
N1  - https://doi.org/10.11648/j.acm.20211002.12
DO  - 10.11648/j.acm.20211002.12
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
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EP  - 45
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20211002.12
AB  - Aims: Fractal for comparison of radiological imagery between morphologic and pathological elements confirms the behavior of the experimental information through dimension itself. The irregularity of the human body is its own characteristic. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Method: they use the theoretic methods: Analysis synthesis, induction deduction and abstraction concretion. Processes of understanding, explanation and interpretation. Methods, procedures and mathematical algorithms, as well as information-technology professional programs are applicable. Come true quest of information about the application of dimension fractal in the diagnostic one belonging to diseases, based in radiological imagery. The diagnostic method fractal consists in the calculation of dimension for three cellular objects defined as: the nucleus, the cytoplasm without a nucleus and the entire cell. Results: Methods and procedures to ratify diseases, where the different authors yield a mathematical model, propose which themselves fractal for the comparison of histological and pathological elements confirms the behavior of the experimental data represented in radiological imagery, by means of dimension. About fractal geometry, the fractal dimension is obtained, which is a numerical measure that represents the degree of irregularity of an object. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Conclusions: A methodology of work based in radiological imagery by comparison of histological and pathological elements to determine different diseases in patients becomes established.
VL  - 10
IS  - 2
ER  -

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Author Information

Ernesto Borges Batista

Department of Basic Biomedical Sciences, Holguin University of Medical Sciences, Holguin, Cuba
Luis Alberto Escalona Fernandez

Department of Medical Information Technology, Faculty of Medical Sciences, Holguin University of Medical Sciences, Holguin, Cuba
Kirelis Napoles Dominguez

Department of Basic Biomedical Sciences, Holguin University of Medical Sciences, Holguin, Cuba
Yamila Ochoa Sarmiento

Department of Basic Biomedical Sciences, Holguin University of Medical Sciences, Holguin, Cuba
Claudia del Carmen Pupo Marrero

Department of Basic Biomedical Sciences, Holguin University of Medical Sciences, Holguin, Cuba

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Ernesto Borges Batista, Luis Alberto Escalona Fernandez, Kirelis Napoles Dominguez, Yamila Ochoa Sarmiento, Claudia del Carmen Pupo Marrero. (2021). Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements. Applied and Computational Mathematics, 10(2), 40-45. https://doi.org/10.11648/j.acm.20211002.12

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ACS Style

Ernesto Borges Batista; Luis Alberto Escalona Fernandez; Kirelis Napoles Dominguez; Yamila Ochoa Sarmiento; Claudia del Carmen Pupo Marrero. Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements. Appl. Comput. Math. 2021, 10(2), 40-45. doi: 10.11648/j.acm.20211002.12

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AMA Style

Ernesto Borges Batista, Luis Alberto Escalona Fernandez, Kirelis Napoles Dominguez, Yamila Ochoa Sarmiento, Claudia del Carmen Pupo Marrero. Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements. Appl Comput Math. 2021;10(2):40-45. doi: 10.11648/j.acm.20211002.12

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@article{10.11648/j.acm.20211002.12,
  author = {Ernesto Borges Batista and Luis Alberto Escalona Fernandez and Kirelis Napoles Dominguez and Yamila Ochoa Sarmiento and Claudia del Carmen Pupo Marrero},
  title = {Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements},
  journal = {Applied and Computational Mathematics},
  volume = {10},
  number = {2},
  pages = {40-45},
  doi = {10.11648/j.acm.20211002.12},
  url = {https://doi.org/10.11648/j.acm.20211002.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20211002.12},
  abstract = {Aims: Fractal for comparison of radiological imagery between morphologic and pathological elements confirms the behavior of the experimental information through dimension itself. The irregularity of the human body is its own characteristic. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Method: they use the theoretic methods: Analysis synthesis, induction deduction and abstraction concretion. Processes of understanding, explanation and interpretation. Methods, procedures and mathematical algorithms, as well as information-technology professional programs are applicable. Come true quest of information about the application of dimension fractal in the diagnostic one belonging to diseases, based in radiological imagery. The diagnostic method fractal consists in the calculation of dimension for three cellular objects defined as: the nucleus, the cytoplasm without a nucleus and the entire cell. Results: Methods and procedures to ratify diseases, where the different authors yield a mathematical model, propose which themselves fractal for the comparison of histological and pathological elements confirms the behavior of the experimental data represented in radiological imagery, by means of dimension. About fractal geometry, the fractal dimension is obtained, which is a numerical measure that represents the degree of irregularity of an object. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Conclusions: A methodology of work based in radiological imagery by comparison of histological and pathological elements to determine different diseases in patients becomes established.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements
AU  - Ernesto Borges Batista
AU  - Luis Alberto Escalona Fernandez
AU  - Kirelis Napoles Dominguez
AU  - Yamila Ochoa Sarmiento
AU  - Claudia del Carmen Pupo Marrero
Y1  - 2021/06/16
PY  - 2021
N1  - https://doi.org/10.11648/j.acm.20211002.12
DO  - 10.11648/j.acm.20211002.12
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 40
EP  - 45
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20211002.12
AB  - Aims: Fractal for comparison of radiological imagery between morphologic and pathological elements confirms the behavior of the experimental information through dimension itself. The irregularity of the human body is its own characteristic. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Method: they use the theoretic methods: Analysis synthesis, induction deduction and abstraction concretion. Processes of understanding, explanation and interpretation. Methods, procedures and mathematical algorithms, as well as information-technology professional programs are applicable. Come true quest of information about the application of dimension fractal in the diagnostic one belonging to diseases, based in radiological imagery. The diagnostic method fractal consists in the calculation of dimension for three cellular objects defined as: the nucleus, the cytoplasm without a nucleus and the entire cell. Results: Methods and procedures to ratify diseases, where the different authors yield a mathematical model, propose which themselves fractal for the comparison of histological and pathological elements confirms the behavior of the experimental data represented in radiological imagery, by means of dimension. About fractal geometry, the fractal dimension is obtained, which is a numerical measure that represents the degree of irregularity of an object. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Conclusions: A methodology of work based in radiological imagery by comparison of histological and pathological elements to determine different diseases in patients becomes established.
VL  - 10
IS  - 2
ER  -

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