Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Modeling and Similitude01:12

Modeling and Similitude

474
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
474
Hyperbolas01:30

Hyperbolas

152
A hyperbola is a conic section produced when a double-napped cone is intersected by a plane at an angle steeper than the slope of the cone, such that it cuts through both nappes. This intersection yields two separate, mirror-image curves known as branches, which open away from each other along the transverse axis. The nearest points on each branch to the hyperbola’s center are termed vertices, and the distance from the center to a vertex is denoted by a. Perpendicular to the transverse...
152
Exponential Equations for Modeling Growth02:33

Exponential Equations for Modeling Growth

93
Exponential models are essential for describing rapid, multiplicative changes in natural systems, such as population growth. When a population doubles at regular intervals, the process can be modeled using a suitable base. For instance, a bacterial culture that doubles every three hours follows the model n(t)=n0⋅2t/3, where n(t) is the population at the time t.A more general model uses the natural base e, especially for continuous growth. This takes the form n(t)=n0⋅ert, where r is...
93
Geometry of Hyperbolas01:30

Geometry of Hyperbolas

111
A hyperbola consists of all points where the absolute difference of distances to two fixed points, called foci, remains constant. The standard equation isEach branch extends infinitely and approaches two asymptotes, which guide the curve’s behavior. The parameters a and b define key features: a measures the distance from the center to each vertex along the transverse axis, while b influences the slopes of the asymptotes. The asymptotes have equationsA rectangle centered at the origin with...
111
Clearance Models: Physiological Models01:09

Clearance Models: Physiological Models

199
Drug clearance is a critical pharmacokinetic process involving the irreversible removal of drugs from the body through various organs over a specified time period. Physiological models are indispensable in determining organ-specific clearance, defined by the proportion of the drug eliminated per unit of time from the organ's blood volume.
The organ's clearance rate depends on the blood flow to the organ and the extraction ratio (E). The extraction ratio describes the organ's...
199
Typical Model Studies01:30

Typical Model Studies

532
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
532

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Genetic code, the problem of coding biological cycles, and cyclic Gray codes.

Bio Systems·2024
Same author

The principle "like begets like" in algebra-matrix genetics and code biology.

Bio Systems·2023
Same author

Binary oppositions, algebraic holography and stochastic rules in genetic informatics.

Bio Systems·2022
Same author

The stochastic organization of genomes and the doctrine of energy-information evolution based on bio-antenna arrays.

Bio Systems·2022
Same author

Algebraic harmony and probabilities in genomes. Long-range coherence in quantum code biology.

Bio Systems·2021
Same author

Hyperbolic rules of the cooperative organization of eukaryotic and prokaryotic genomes.

Bio Systems·2020

Related Experiment Video

Updated: Dec 1, 2025

Construction of a Realistic, Whole-Body, Three-Dimensional Equine Skeletal Model using Computed Tomography Data
11:09

Construction of a Realistic, Whole-Body, Three-Dimensional Equine Skeletal Model using Computed Tomography Data

Published on: February 25, 2021

3.6K

Modeling inherited physiological structures based on hyperbolic numbers.

Sergey V Petoukhov1

  • 1Mechanical Engineering Research Institute of the Russian Academy of Sciences, M. Kharitonievskiy Pereulok, 4, 101990, Moscow, Russia.

Bio Systems
|November 9, 2020
PubMed
Summary
This summary is machine-generated.

This study models inherited biological systems using hyperbolic numbers, revealing shared genetic structures and connections to resonance theory. The approach highlights harmonic progressions and means, linking biology to music and aesthetics.

Keywords:
Bisymmetric matricesEigenvaluesHarmonic progressionHyperbolic numbersOligomer sums methodPhyllotaxisPunnet squaresQuantum informaticsResonanceWeber-Fechner law

More Related Videos

Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology
08:54

Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology

Published on: April 18, 2018

10.0K
Probing the Roles of Physical Forces in Early Chick Embryonic Morphogenesis
06:33

Probing the Roles of Physical Forces in Early Chick Embryonic Morphogenesis

Published on: June 5, 2018

7.6K

Related Experiment Videos

Last Updated: Dec 1, 2025

Construction of a Realistic, Whole-Body, Three-Dimensional Equine Skeletal Model using Computed Tomography Data
11:09

Construction of a Realistic, Whole-Body, Three-Dimensional Equine Skeletal Model using Computed Tomography Data

Published on: February 25, 2021

3.6K
Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology
08:54

Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology

Published on: April 18, 2018

10.0K
Probing the Roles of Physical Forces in Early Chick Embryonic Morphogenesis
06:33

Probing the Roles of Physical Forces in Early Chick Embryonic Morphogenesis

Published on: June 5, 2018

7.6K

Area of Science:

  • Mathematics
  • Biology
  • Genetics
  • Physics

Background:

  • Inherited biological systems exhibit complex patterns.
  • Understanding the commonality and interconnections between diverse biosystems is crucial.
  • Existing models may not fully capture the underlying structural relationships.

Purpose of the Study:

  • To model inherited biosystems using multi-dimensional hyperbolic numbers and matrix representations.
  • To uncover hidden structural interconnections among different biosystems.
  • To explore the link between biological systems, resonance theory, and mathematical formalisms.

Main Methods:

  • Application of multi-dimensional hyperbolic numbers and their matrix representations.
  • Modeling of phyllotaxis sequences, Mendelian genetics (Punnet squares), and the Weber-Fechner law.
  • Analysis of structural commonalities related to harmonic progressions and means.

Main Results:

  • Identified hidden structural interconnections among diverse inherited biosystems.
  • Demonstrated a commonality in genetic basis across different biological models.
  • Revealed connections between biosystems, resonance theory, and harmonic progressions (1/n, harmonic mean).

Conclusions:

  • Hyperbolic number modeling provides a unified framework for understanding diverse biosystems.
  • Structural commonality in biosystems is linked to harmonic principles found in nature, art, and music.
  • This approach bridges mathematical sciences and biology, fostering mutual enrichment.