scholarly journals A Human Body Mathematical Model Biometric Using Golden Ratio: A New Algorithm

2018 ◽  
Author(s):  
Evon Abu-Taieh ◽  
Hamed S. Al-Bdour
Keyword(s):  
Mathematical Model ◽  
Human Body ◽  
Golden Ratio

scholarly journals The phyllotaxis of the aortic valve

2019 ◽  
Vol 89 (3) ◽  
Author(s):  
Marco Moscarelli ◽  
Ruggero De Paulis
Keyword(s):  
Mathematical Model ◽  
Coronary Artery ◽  
Aortic Valve ◽  
Human Body ◽  
Fractal Geometry ◽  
Heart Valves ◽  
Molecular Level ◽  
Golden Ratio ◽  
Fibonacci Sequence ◽  
Sun Exposure

Biological systems ubiquitously and inevitably exhibit stochasticity in traits from the molecular level to the multicellular and morphological level. However, there are several examples of natural events that might be described in mathematical terms. Plants grow in a structured and geometric way to maximize their sun exposure for photosynthesis while reducing the stress. The ‘Fibonacci sequence’ and its ‘golden ratio’ are considered a mathematical regularity and model that is one of the corner-stone of the ‘phyllotaxis’, the part of the botany that studies how plants branch. Nevertheless, we currently do not know if such mathematical model can be applied to humans. Different authors have hypothesized that ‘fractal’ might be identified along with the ‘golden-ratio’ in the human body (coronary artery, heart valves etc.). The aortic valve and the aortic root might represent an interesting model of human fractal geometry, where the phyllotactic rules can be reasonably applied, and where deviation from normality might results in dysfunction. However, in the absence of scientific validations, such report represents only the authors’ perceptions of a beautiful shape.

Tissue necrosis and passage of fluid due to cold stress from the thermally damaged human body peripherals: A mathematical model

2015 ◽  
Vol 04 (02) ◽  
pp. 1550012
Author(s):  
M. A. Khanday ◽  
Fida Hussain ◽  
Khalid Nazir
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Heat Equation ◽  
Cold Stress ◽  
Human Body ◽  
Human Subjects ◽  
Diffusion Equations ◽  
Tissue Necrosis ◽  
Cold Temperatures ◽  
Element Technique

The development of cold injury takes place in the human subjects by means of crystallization of tissues in the exposed regions at severe cold temperatures. The process together with the evaluation of the passage of fluid discharge from the necrotic regions with respect to various degrees of frostbites has been carried out by using variational finite element technique. The model is based on the Pennes' bio-heat equation and mass diffusion equations together with suitable initial and boundary conditions. The results are analyzed in relation with atmospheric temperatures and other parameters of the tissue medium.

scholarly journals The Relation of Golden Ratio, Mathematics and Aesthetics

2018 ◽  
Vol 14 (1) ◽  
pp. 188-199 ◽  
Author(s):  
Gyan Bahadur Thapa ◽  
Rena Thapa
Keyword(s):  
Human Body ◽  
Golden Ratio ◽  
Divine Proportion ◽  
Logo Design ◽  
Geometrical Shapes ◽  
Natural Flora ◽  
The Universe

The Golden Ratio, mathematics and aesthetics are intricately related among each other. In this paper, we exhibit the presence of mathematics in aesthetic impression that appears in nature, classic art, architecture, logo design and much more. The divine proportion can be found in music, poetry and other forms of art, however our focus here is only in the visual ones. The Golden ratio is considered sacred due to its relationship to nature and even the construction of the universe and the human body. It has been used for centuries in the construction of architectural masterpieces by the great artists, who, being able to see its beauty used it in their designs and compositions. We explain how the applications of the Golden ratio in architectures, paintings and geometrical shapes create the mystery of beauty. Further we present the existence of the divine proportion in human body and natural flora and fauna. There are a diverse number of directions, paths and tangents to which the study of this beautiful concept could take us. Besides mathematicians and artists, we expect that this paper will be interesting for general readers as well.  Journal of the Institute of Engineering, 2018, 14(1): 188-199

scholarly journals A Multiphase Flow in the Antroduodenal Portion of the Gastrointestinal Tract: A Mathematical Model

2016 ◽  
Vol 2016 ◽  
pp. 1-18 ◽  
Author(s):  
P. V. Trusov ◽  
N. V. Zaitseva ◽  
M. R. Kamaltdinov
Keyword(s):  
Mathematical Model ◽  
Gastrointestinal Tract ◽  
Multiphase Flow ◽  
Human Body ◽  
Digestive System ◽  
System Model ◽  
Food Density ◽  
Secretory Function ◽  
Functional Disorders ◽  
Food Particles

A group of authors has developed a multilevel mathematical model that focuses on functional disorders in a human body associated with various chemical, physical, social, and other factors. At this point, the researchers have come up with structure, basic definitions and concepts of a mathematical model at the “macrolevel” that allow describing processes in a human body as a whole. Currently we are working at the “mesolevel” of organs and systems. Due to complexity of the tasks, this paper deals with only one meso-fragment of a digestive system model. It describes some aspects related to modeling multiphase flow in the antroduodenal portion of the gastrointestinal tract. Biochemical reactions, dissolution of food particles, and motor, secretory, and absorbing functions of the tract are taken into consideration. The paper outlines some results concerning influence of secretory function disorders on food dissolution rate and tract contents acidity. The effect which food density has on inflow of food masses from a stomach to a bowel is analyzed. We assume that the future development of the model will include digestive enzymes and related reactions of lipolysis, proteolysis, and carbohydrates breakdown.

scholarly journals Wavelet introscopy of human organism bionets

2021 ◽  
pp. 63-72
Author(s):  
Gennady M. Aldonin ◽  
◽  
Vasily V. Cherepanov ◽  
Keyword(s):  
Functional State ◽  
Human Body ◽  
Dynamic Models ◽  
Golden Ratio ◽  
The State ◽  
The Body ◽  
Human Organism ◽  
Fractal Structures ◽  
Self Similar ◽  
The Creation

In domestic and foreign practice, a great deal of experience has been accumulated in the creation of means for monitoring the functional state of the human body. The existing complexes mainly analyze the electrocardiogram, blood pressure and a number of other physiological parameters. Diagnostics is often based on formal statistical data which are not always correct due to the nonstationarity of bioprocesses and without taking into account their physical nature. An urgent task of monitoring the state of the cardiovascular system is the creation of effective algorithms for computer technologies to process biosignals based on nonlinear dynamic models of body systems since biosystems and bioprocesses have a nonlinear nature and fractal structure. The nervous and muscular systems of the heart, the vascular and bronchial systems of the human body are examples of such structures. The connection of body systems with their organization in the form of self-similar fractal structures with scaling close to the “golden ratio” makes it possible to diagnose them topically. It is possible to obtain detailed information about the state of the human body’s bio-networks for topical diagnostics on the basis of the wavelet analysis of biosignals (the so-called wavelet-introscopy). With the help of wavelet transform, it is possible to reveal the structure of biosystems and bioprocesses, as a picture of the lines of local extrema of wavelet diagrams of biosignals. Mathematical models and software for wavelet introscopy make it possible to extract additional information from biosignals about the state of biosystems. Early detection of latent forms of diseases using wavelet introscopy can shorten the cure time and reduce the consequences of disorders of the functional state of the body (FSO), and reduce the risk of disability. Taking into account the factors of organizing the body’s biosystems in the form of self-similar fractal structures with a scaling close to the “golden ratio” makes it possible to create a technique for topical diagnostics of the most important biosystems of the human body.

The New Methodology of Working Load Classification in Engineering Operations

2013 ◽  
Vol 664 ◽  
pp. 1186-1190
Author(s):  
Maria Kapustova
Keyword(s):  
Mathematical Model ◽  
Working Conditions ◽  
Human Body ◽  
Complex Loading ◽  
Summary Effect ◽  
Moment Load ◽  
Forging Press ◽  
Negative Factors

Working conditions in engineering operations are often characterized by a complex of negative factors, which at every moment load the human body during the active work with various intensity. Determination of the intensity of the workload is important for creation of workplace comfort, which is closely connected to workers’ contentment. The contribution presents a description and application of a mathematical model for determination of the workers´ complex loading at forging press workplace. It's a new and human way of evaluating work comfort, which can take into account the summary effect of all the negative factors at the workplace.

A Mathematical Model for Estimation of Plutonium in the Human Body from Urine Data Influenced by DTPA Therapy

1978 ◽  
Vol 34 (5) ◽  
pp. 419-431 ◽  
Author(s):  
R. M. Hall ◽  
G. A. Poda ◽  
R. R. Fleming ◽  
J. A. Smith
Keyword(s):  
Mathematical Model ◽  
Human Body

A personalized mathematical model of the human body.

1966 ◽  
Vol 3 (3) ◽  
pp. 446-448 ◽  
Author(s):  
ERNEST P. HANAVAN
Keyword(s):  
Mathematical Model ◽  
Human Body
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