Study of the Synchronization and Transmission of Intracellular Signaling Oscillations in Cells Using Bispectral Analysis
Abstract
:Simple Summary
Abstract
1. Introduction
2. Materials and Methods
2.1. Animals
2.2. Cell Isolation
2.3. Fluorescence Microscopy
2.4. Data Analysis
2.5. Bispectral Analysis Method
2.6. Statistical Processing
3. Results
3.1. Application of Bispectral Method for Non-Lineal System Analisys
- Synchronous registration of signals occurs both from node “1” and from node “2”,
- Each node has its own generator of harmonic oscillations with characteristic frequencies ω1 and ω2, respectively,
- There is a channel for transmitting oscillations from node “1” to node “2”, and in node “2”, the linear summation of oscillations “1” and “2” occurs,
- Analog nonlinear signal conversion occurs at the registration stage in each node.
3.2. Application of the Bispectral Analysis Method to Assess the Synchronization of Vibrations of Intracellular Signaling Molecules
4. Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Frequency | Φ1(t,ω) | Φ2(t,ω) |
---|---|---|
ω1 | A1exp(jω1t) | kA1exp(jω1t) |
2ω1 | A12B1exp(j(2ω1t + π/2))/2 | k2A12B2exp(j(2ω1t + π/2))/2 |
ω2 | 0 | A2exp(jω2t) |
2ω2 | 0 | A22B2exp(j(2ω2t + π/2))/2 |
ω1 + ω2 | 0 | kA1 A2B2exp(j((ω1 + ω2)t − π/2)) |
No. | Intracellular Messenger | Ca2+ Oscillations | NO Oscillations | ||
---|---|---|---|---|---|
Temperature, °C Characteristics | 37 | 40 | 37 | 40 | |
1 | Frequency 1, Hz × 10−3 | 2.2 (1.2; 4.2) | 2.4 (1.1; 3.9) | 1.9 (1.1; 3.9) | 3.0 (1.6; 4.6) * |
2 | Frequency 2, Hz × 10−3 | 1.7 (1.2; 3.6) | 2.8 (1.4; 3.9) * | 2.5 (1.3; 4.2) | 2.5 (1.6; 4.6) |
3 | Peak Value, a. u. × 106 | 8 (5; 13) | 116 (69; 170) * | 51 (29; 84) | 93 (60; 146) * |
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Astashev, M.E.; Serov, D.A.; Tankanag, A.V.; Knyazeva, I.V.; Dorokhov, A.A.; Simakin, A.V.; Gudkov, S.V. Study of the Synchronization and Transmission of Intracellular Signaling Oscillations in Cells Using Bispectral Analysis. Biology 2024, 13, 685. https://doi.org/10.3390/biology13090685
Astashev ME, Serov DA, Tankanag AV, Knyazeva IV, Dorokhov AA, Simakin AV, Gudkov SV. Study of the Synchronization and Transmission of Intracellular Signaling Oscillations in Cells Using Bispectral Analysis. Biology. 2024; 13(9):685. https://doi.org/10.3390/biology13090685
Chicago/Turabian StyleAstashev, Maxim E., Dmitriy A. Serov, Arina V. Tankanag, Inna V. Knyazeva, Artem A. Dorokhov, Alexander V. Simakin, and Sergey V. Gudkov. 2024. "Study of the Synchronization and Transmission of Intracellular Signaling Oscillations in Cells Using Bispectral Analysis" Biology 13, no. 9: 685. https://doi.org/10.3390/biology13090685