Presentation is loading. Please wait.

Presentation is loading. Please wait.

Theory of coupled electromagnetic circuits and the relevance of their resonances in chronobiology In honor of the 90 th birthday of Franz Halberg W. Ulmer.

Similar presentations


Presentation on theme: "Theory of coupled electromagnetic circuits and the relevance of their resonances in chronobiology In honor of the 90 th birthday of Franz Halberg W. Ulmer."— Presentation transcript:

1 Theory of coupled electromagnetic circuits and the relevance of their resonances in chronobiology In honor of the 90 th birthday of Franz Halberg W. Ulmer – Corresponding member of MPI of Physics Göttingen Germany Problems – summary: Day-night rhythm by external visible light: Excitation of tryptophan and metabolism of tryptophan – serotonin – melatonin. This is only on surface (skin) possible: Lifetime of singlet transitions: 10 -8 sec; lifetime of triplets: seconds, minutes,….. Each cell shows ultraweak bioluminescence (uwb):

2 Problems – summary: In darkness ultraweak bioluminescence (uwb) exists in each cell Intensity of wavelengths is only depending on biorhythm (circadian, circaseptan, etc). Mechanism: Excitations by several steps by ATP – (GTP) decay (0.5 eV) – pumping mechanisms. Receptors: tryptophan – serotonin – melatonin (singlet – triplet transitions). Coupling to DNA and role of neurotransmitters. Every charge distribution of biomolecules (and even a cell) represents a capacitance. Transitions represent currents – inductivitances (magnetic fields). This view goes back to Heisenberg. Recent developments: molecular electronic devices.

3 Basic princple: One electric oscillator with L: inductivitance (solenoid) and C: capacitance (condensator); electric charge: Q, current: Q/dt L C

4 Two coupled electrical resonators via magnetic interactions M of the currents (right) - mechanical analogon: two pendula coupled by a spring (left) M1M1 M2M2 spring L C M C L

5 Three identical oscillators with magnetic coupling M via currents between different states

6 Resonator with dielectric coupling: Instead of the mutual inductivitance M a mutual capacitance is used to couple the two resonators - Basic equations and solution methods are always equivalent

7 Carrier waves and beat frequencies by superpositions of different solutions (modes) of two resonators

8 Two coupled resonators: Resonance time T from the difference values (beat frequency) ω’ 2 = 2∙π/T= (ω 1 - ω 2 )/2 – narrow intervals for circadian, etc.

9 Number of beat resonance time intervals T with T1 and T2 < =10 sec; ω 1 = 2∙π/T1 and ω 2 = 2∙π/T2

10 Two coupled resonators: Resonance time T from the difference values (beat frequency) ω’ 2 = 2∙π/T= (ω 1 - ω 2 )/2 – wide intervals for circadians, etc.

11 Two coupled resonators show: Numerous beat frequencies may be candidates to provide independently circadian, circasemiseptan, circaseptan, ….,etc. Principal question: who is the CONDUCTOR in a cellular system to select particular resonance times/periods? In chronobiology, the scientific work of Franz Halberg represents the role of a ‚music director‘ In a cellular/ molecular biological level synergetic phenomena should lead to such a selection: 1. Physical term schemes of biomolecules - production of singlet – triplet resonances via external light and ultraweak bioluminescence (DNA, RNA, tryptophan, serotonin, melatonin), configurations (charge distributions) of different states by double resonances between molecules. 2. Influence of the geomagnetic/solar magnetic field to charged molecules and ions such as Mg-ATP-protein complexes and hydrolysis of ATP via Ca ions

12 Characteristic term scheme: Solid arrows: allowed transitions - dashed arrows: forbidden transitions from singlet ground state 1. Singlet double resonance (  E) 2. Singlet – triplet transitions from the excited singlet state (allowed) 3. Triplet – triplet transitions and cascades (long lifetime: seconds, minutes, hours, etc. )

13 More complex (realistic systems): I. Two electrical resonators (circuits) are coupled via a further resonator

14 II. Three different circuits are mutually coupled via magnetic interactions (currents)

15 Generalization to three or more coupled resonators[couplings via electric (dielectricum) or magnetic interaction]

16 Three/four coupled oscillators can simultaneously produce ‚beats‘: 3 and 4 periods of chronobiology Number of necessary conductors is drastically reduced

17 Periodic system of resonators – simplified application to double-stranded DNA chains - Beat intervals: ca. 1 – 3.5 – 7 days

18 Periods of ATP –metabolism supported by the resonances: Geomagnetic and solar magnetic field (Ca and Mg) and ultraweak bioluminescence

19 DNA (section): H bonds (protons) represent mutually coupled currents (inductivitances) and the charge distributions at the corresponding bases (A, T, G, C) are capacitances of resonators Large manifold ofmagnetically coupled resonators: weak couplings between not neighbouring proton bonds yielding highly nonlocal effects and time periods (‚beat frequencies‘)

20 Conclusions and relevance to chronobiology: 1. Conductor of beats/carrier waves: 2. Reduction of resonances by coupled complex systems 3. Diffusion of metallic ions in magnetic fields (role of Ca and Mg ions in ATP-protein complexes) 4. Skin surface (external light, day and night) 5. Ultraweak bioluminescence (role of ATP) 6. Proton bonds (H bonds) between DNA base pairs and resonances by nonlocal influences – Calculation of the magnetic coupling between different base pairs (very weak and decreasing with distances provides rhythms of ca. 1 day, 3.5 days and 7 days


Download ppt "Theory of coupled electromagnetic circuits and the relevance of their resonances in chronobiology In honor of the 90 th birthday of Franz Halberg W. Ulmer."

Similar presentations


Ads by Google