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Related Concept Videos

Resonance and Hybrid Structures02:16

Resonance and Hybrid Structures

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According to the theory of resonance, if two or more Lewis structures with the same arrangement of atoms can be written for a molecule, ion, or radical, the actual distribution of electrons is an average of that shown by the various Lewis structures.
Resonance Structures and Resonance Hybrids
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Resonance02:52

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
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Concept of Resonance and its Characteristics01:19

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If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not...
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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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Related Experiment Video

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In Vivo Modeling of the Morbid Human Genome using Danio rerio
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The system-resonance approach in modeling genetic structures.

Sergey V Petoukhov1

  • 1Institute of Machines Studies, Russian Academy of Sciences, 101990 Moscow, Russia.

Bio Systems
|November 8, 2015
PubMed
Summary

This study introduces a novel bio-mathematical approach using resonance theory to model genetic inheritance. It reveals hidden genetic relationships and integrates biology with physics and informatics through oscillatory system analysis.

Keywords:
GeneticsNoise-immunity codingResonancesTensor product of matricesVibrational mechanics

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Area of Science:

  • Structural chemistry
  • Bio-mathematics
  • Systems biology

Background:

  • Linus Pauling highlighted resonance patterns in living systems.
  • Organisms function as complex oscillatory systems with many degrees of freedom.
  • The theory of oscillations uses matrix mathematics to study resonance characteristics.

Purpose of the Study:

  • To model genetically inherited structures and processes using resonance theory.
  • To reveal hidden relationships in genetic phenomena.
  • To develop a new class of bio-mathematical models.

Main Methods:

  • Application of mathematical tools from the theory of resonances.
  • Modeling biological organisms as oscillatory systems.
  • Analysis of molecular-genetic ensembles.

Main Results:

  • A new approach for modeling genetic inheritance through resonance.
  • Identification of hidden relationships in genetic phenomena.
  • Development of bio-mathematical models converging biology with physics and informatics.

Conclusions:

  • Resonance theory offers a powerful framework for understanding biological systems.
  • This approach bridges biology, physics, and computer science.
  • Potential applications in vibrational mechanics for biological modeling exist.