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^{1}Laboratoire de Physiologie Intégrée, Faculté des Sciences, Université de Carthage, Jarzouna, Bizerte 7021, Tunisie

^{2}Laboratoire d’Ecologie des Systèmes Terrestres et Aquatiques, Faculté des Sciences, Université Badji Mokhtar, BP 12, 23000 Sidi Amar, Annaba, Algérie

^{3}Clinique d’Acupuncture de Bizerte, 7000 Bizerte, Tunisie

- *Corresponding Author:
- Hafedh Abdelmelek

Laboratoire de Physiologie Intégrée

Faculté des Sciences, Université de Carthage

Jarzouna, Bizerte 7021, Tunisie

**Tel:**(216) 93006057

**E-mail:**[email protected]

**Received date:** October 02, 2017; **Accepted date:** October 07, 2017; **Published date:** October 10, 2017

**Citation: **Abdelmelek H, Hanini A, Saili L, Azzouz A, Nebil E, et al. (2017) Energy Management and Health: Implication of Nervous System Superconductor-Like Behaviour. J Health Med Informat 8:289. doi: 10.4172/2157-7420.1000289

**Copyright:** © 2017 Abdelmelek H, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Physiological studies have implicated different mediator in energy management in nervous system and body metabolic rate. Health result in a good balance between positive (+1) or negative (-1) energy leading to physiological energy (E0). Interestingly, diseases could be explained by an unbalance of energy regulation of nervous system (alteration of superconductor-like behaviour by environment factors) and/or body metabolic rate. Recent years several studies investigating the implication of electrical signals at very low temperature in animal species adaptation and life. In this paper, the electric resistivity (R) at different temperatures (T) between 300 to 200 K in frog sciatic nerves was studied. When the electrical contacts were leaned into sciatic nerve of the four studied species a striking decrease of nerve resistivity was observed (frog 252 K); showing a superconductor-like behavior that could be associated to good health related to good emotions and metabolic equilibrium in Human and animals. Analysis of electrical properties demonstrates clearly that alteration of superconductor-like behaviour by environmental factors point to the development metabolic disorders and diseases.

Energy; Management; Time; Health; Superconductorlike behaviour

Physiological studies have shown that different kind of mediator implicated in energy management explain the balance between health and disease. Abdelmelek et al. [1] reported a direct action of glucagon on avian thermoregulatory mechanisms. Interestingly, cold and glucagon induced an increase of metabolic rate associated to the mobilization of lipids and sympatho-adrenal stimulation. The changes in peripheral noradrenergic activity during cold acclimation could be associated with adaptive changes leading to non-shivering thermogenesis. We have à balance resulting from the nervous system and body interactions. Moreover, the effect of cold acclimatization on the regional distribution of monoamines in duckling spinal cord was studied. In thermoneutral controls (TN), the high dopamine (DA) to norepinephrine (NE) ratios (0.25 at 4 weeks of age and 0.15 at 6 weeks of age) suggest the presence of specific (non precursor) dopaminergic pools in cervical spinal cord. DA levels and the ratio of DA to NE were lowered by age and cold exposure in the cervical cord. In TN ducklings, serotonin (5-HT) and its metabolite 5-hydroxyindoleacetic acid (5- HIAA) showed a decline with age in the spinal cord, indicating that this system is affected with development, whereas cold exposure prevents this decrease. The contents of 5-HT (+58%), 5-HIAA (+93%) and the ratio of 5-HIAA to 5-HT (+50%) are higher in the cervical spinal cord of cold acclimated than in TN ducklings. These results indicate that central monoaminergic systems are markedly affected by age and cold exposure [1]. Moreover, physiological study have shown neurochemical and electrical changes in nervous system during temperature variations could be associated with adaptative changes leading to evolution of species from poikilotherm to endotherm as well know model for energy management [1-3]. Besides the action of monoamines other electrical properties such as action potential or superconductorlike behavior play a key role in the optimization of nerve network and energy management. Previous study suggested the presence of adaptative mechanisms involving the spinal cord and the sciatic nerve dopaminergic and serotonergic pathways during cold acclimation [1,3]. Recent studies reported an increase in myelin sheaths during evolution that could be implicated to the neuromodulation of two components: the neurochemical transmission at low temperature and the adaptative nervous system response to different environmental stimuli giving to animal the so called good health. Previous study by Mbainaibeye et al. [4-8] revealed different electrical responses of frog sciatic nerves during the decrease of temperature. It might therefore be expected that natural selection on neuron or nerve conduction could have caused several structural and functional changes [1,4,5].

The present review report the influence of temperature on the electrical properties of sciatic nerves and to explain the implication of superconductor-like behaviour in health related to energy fluctuation and emotions or health.

The basic idea behind the Wavelet Transform is to represent any
arbitrary function *f* as a weighted sum of a set of basis functions *ψ _{s,u}* which are scaled and shifted version of a single mother wavelet

(1)

(2)

Where

There exist special choices of *ψ* such that the set {*ψ _{s,u}*} form an
orthogonal basis of

(3)

The wavelet Transform may be considered in its continuous version or in its discrete version depending of the application.

In contrast to Fourier Transform, the Wavelet Transform uses scale and translation as two parameters which allow constructing basis functions to take account of the stationary and the non-stationary behaviour of signal.

The Fourier Transform decomposes the signal using sinus and cosines as basis functions. Equation 4 defines the Fourier Transform of a signal f(t).

(4)

We can see in equation 4 that the signal is globally analyzed and no localized characteristic of the signal may be detected.

One of the solutions to take account of the local characteristics of the signal is to divide the signal using moved window function g to obtain the Short Time Fourier Transform. This transform is defined in equation 5.

(5)

The usual window functions are Hamming, Hanning, Blackman and de Gauss functions. These functions allow calculating ing the temporal resolution and the frequential resolution defined by equations 6 and 7 respectively.

(6)

(7)

In the case where , then . The **Figure 1** shows the graphical representation of the time-frequency division using moved window function **Figure 1**.

In this notion of moved window function or Short Time Fourier Transform, the Gabor Transform also called Gabor atom is defined by equation 8:

(8)

The energy of *g _{u,ξ}* in concentrated in the neighboring of u in
an interval which the width is

(9)

The energy of ξ is also in concentrated in the neighboring of ξ
in an interval which the width is *σ _{f}*.

In the time-frequency representation, the energy of the Gabor atom
is represented by the Heisenberg rectangle in the **Figure 2**.

In contrary to Fourier Transform, analysis with Wavelet Transform
allows to vary the temporal and frequential resolution by varying
the scale parameter. From the basis function called mother wavelet
function *ψ _{u,s}* it is easy to generate small basis functions

(10)

In equation 10, the scale parameter s is considered us the
inverse of the frequency; so, more small is s, more opened is the
basis function. In contrary, more big is s, less opened is the basis
function. **Figure 3** shows the time-frequency division using wavelet
basis function (we can see the difference compared with the **Figure
1** for Short Time Fourier basis function). In **Figure 3**, the temporal
resolution and the frequency resolution are variable depending of
scale parameters (**Figure 3**).

**Figure 4** presents time-frequency energy of wavelet basis function
(we can see the difference compared with **Figure 2** for the Gabor atom).

The **Figure 4** shows that the time resolution and the frequential
resolution may be varying to adapt the signal processing taking account
of its stationary or non-stationary properties. These possibility offered
by Wavelet Transformed is used to analyze and characterize the
conductivity of the sciatic nerve, object of this work.

**Analysis and characterization of the conductivity behaviour
of the sciatic nerve**

Sciatic nerve samples (n=6) were obtained by decapitation of frogs
(*Rana esculenta*) with light anesthesia (Halothane 2.5% in air). The
proximal segments of the sciatic nerves (1 cm) were harvested in order
to study resistivity. Animals were cared for, under the Tunisian code
of practice for the Care and Use of Animals for Scientific Purposes.
The experimental protocols were approved by the Faculty Ethics
Committee (Faculté des Sciences de Bizerte, Tunisia). Sciatic nerves
were conserved in Ringer-buffer during 1 to 5 min.

Then, the electrical resistivity variations of the sciatic nerve with
varying temperature were investigated by employing the four-probe
technique. The temperature variation was achieved using a Helium
exchange gas filled cryostat (closed cycle refrigerator). Temperature
was measured using a calibrated Si-diode sensor with an accuracy of
0.1ºK and was varied from 300 ºK to 20 ºK. In the present experiment,
we study the effect of the decrease and the increase of temperature
on nerve resistivity. The two external wires (the distance between the
‘current’ wires: 8 mm) were used as current leads and the other two
as the voltage leads (the distance between the ‘current’ wires: 2 mm)
to record potential differences. We used a variable current with very
low frequency (36Hz). The value of the current used for the resistivity
measurements was 20 μA (micro Ampere) [3,5]. The four-point probe
technique is the most common method of determining the critical
temperature (Tc) of a superconductor. T^{conset} is the temperature at
which resistivity starts decreasing. Wires are attached to a material.
Through two of these points, a voltage is applied and if the material
is conductive, a current will flow. Then, if any resistance exists in the material, a voltage will appear across the other two points in accordance
with the Ohm’s law. When the material enters a superconductor state,
its resistance drops to zero and no voltage appears across the second
set of points. The **Figure 5** shows the Four-point technique used for
measuring the resistivity of the sciatic nerve.

**Analysis of the electrical conductivity of sciatic nerve**

To analysis the regularity of a function (in our case the function is a signal), the continuous wavelet transform is desired versus discrete wavelet transform. Singularity detection can be undertaken by describing the local regularity of the signal. In our approach, we take advantage of the ability of the wavelet transform to characterize the local regularity of sciatic nerve signal. The mathematical background justifying this method is described in Mallat and Hwang [6-8] USA. For a given signal, the local regularity consists to compute all modulus maxima of its continuous wavelet transform and chain maxima across scales to obtain maxima lines. If the signal is noisy, maxima lines due to noise are mostly concentrated at fine scales, whereas maxima lines due to signal discontinuity should be persistent across coarser scales. Mathematically, singularity detection can be carried out by finding the abscissa where the wavelet modulus maxima converge at finer scales. If no wavelet modulus maxima exists at fine scales in a point for which the abscissa is t=u, it was shown that the signal is regular at this point. The major difficulty is to distinguish singularities caused by noise fluctuations from those that generated from sharp signal transitions. Only maxima lines that persist across all scales of the analysis are considered as true signal transitions, since noise fluctuations should have less persistence in scale-space. The task is to characterize the regularity of singularities through their Lipscitz exponentα. In general, the point-wise regularity of a function can be characterised by Lipschitz exponents. Mallat and Hwang [6] showed that Lipschitz exponents could be estimated from the decay of wavelet modulus maxima defined in the equation 11:

(11)

Where A is a constant, *s* the scale parameter, and *u* is the translation
parameter. The modulus of the wavelet coefficients varies with the scale
according to the Lipschitz regularityα. The equation 4 is equivalent to
the equation 12:

(12)

Hence, the Lipschitz regularity can be estimated from the slope of as a function of log_{2}(s) along the maxima lines. We can
estimate Lipschitz α from the decay slope of . Note that
a step edge is Lipschitz 0. The wavelets used in this work have one and
two vanishing moments. Essentially, singularities with more negative
exponents should be attributed to noise, whereas signal transitions
should have more positive exponents [7].

So, given a signal with several localized discontinuities, these localized discontinuities may be located and characterized by the estimation of α using the maxima wavelet coefficients called Wavelet Transform Modulus Maxima (WTMM). The measuring of the slope of the WTMM curve allows the estimating of α which is the characteristic of the singularity. The choice of wavelet basis depends on the application and in this work we have chosen the Gaussian Continuous Wavelet (GCW) which has the property to conserve the regularity of signal at different scales.

The **Figures 6 **and** 7** show the responses of the frog sciatic nerve
versus temperature in Kelvin degree. In the **Figure 6**, the measure
equipment is placed outside the sciatic nerve and in the **Figure 7**, the
measure equipment is placed inside the sciatic nerve. These responses
are the ratio of R by Ra where Ra is the nerve resistance at the room
temperature (298 ºK), and R is the nerve resistance at different values
of the temperature. The curves shown in the **Figures 6 **and** 7** may be
considered as the impulse response of the sciatic nerve and describe
the conductivity behaviour of frog sciatic nerve at different values of
the temperature.

We decompose the signal of the **Figures 6 **and** 7** by the continuous
wavelet using GCW. Five scales are performed with GCW. The **Figures
8-11** show the wavelet representation for five scales. The **Figure 8** shows
the wavelet coefficients of the frog sciatic nerve for the first, the second
and the third scales, the **Figure 9** shows the wavelet coefficients of the
frog sciatic nerve for the fourth and fifth scales, both figures for the
measure equipment placed outside the sciatic nerve. The **Figure 10** shows the wavelet coefficients of the frog sciatic nerve for the first, the
second and the third scales, the **Figure 11** shows the wavelet coefficients
of the frog sciatic nerve for the fourth and fifth scales, both figures for
the measure equipment placed inside the sciatic nerve (**Figure 6**).

The observation of the **Figures 8-11** shows that the transition in
the response of the nerve is well represented in the wavelet domain
particularly for the **Figure 8 **and** 9** where the measure equipment is
placed outside the sciatic nerve. The **Figures 12 **and** 13** are the scalespace
representation of the response which may be considered as an
image representation of the sciatic nerve response; the transitions in
the nerve response are also well observed in these images, particularly
in **Figure 12**.

The transition observed in **Figures 8-11** may be considered, in
signal processing point of view, as the singularity behaviour and our
goal is to determine the type of this singularity. First, we detect the
local maxima of the wavelet coefficients for each scale (we have five
scales in our decomposition). Second, we calculate the logarithm of the
absolute value of these local maxima. Third, we calculate the logarithm
of the scale vector containing the five scales. Fourth, we represent the
logarithm of the absolute values versus the logarithm of the scale vector.
The **Figures 13-15** show the results obtained. The **Figure 14** shows the
curve for the measure equipment placed outside the sciatic nerve; the **Figure 15** shows the curve for the measure equipment placed inside the
sciatic nerve Mbainaibeye et al. [8].

These curves are a graphical representation of a linear function and may be described by the equation 13:

**y = ax** (13)

Where *y* is the logarithm of absolute values of the maxima of
wavelet coefficients, *x* is the logarithm of scale vector, *a* is the slope of
the curve Mbainaibeye et al. [8].

Since y is a linear function of x, the value of a may be determined by the equation 14:

(14)

Where k and j are the any index of the function. The **Figures 16 **and** 17** show the results of the equations 13 and 14:

The transition of the sciatic behaviour is particularly pronounced
in the **Figure 6**, transition observed by placing the measure equipment
outside the sciatic nerve. We quantitatively evaluate the sensibility of
this transition between 250 ºK and 240 ºK in term of variations of the
ratio R/Ra by Kelvin degree in the zone of transition. We design by S_{K} this sensibility and V the value of the response of the sciatic nerve at the
temperature T in ºK. Since the impulse response shown in the **Figure 6** is a ratio of R by Ra, S_{K} may be estimated by the equation 15:

(15)

So, this value indicates that between the semi-conductor and the
supra-conductor behaviour of the frog sciatic nerve, the sensibility in
term of R by Ra ration is 0.14 per °K (**Figure 18**) [8].

The present investigation point to the modulation of neurochemical, electric properties, metabolic rate by cold and many hormone like glucagon. Moreover, data indicated that low temperatures induce a fall of nerve resistivity in frog; showing a superconductor-like behaviour. Previous results have demonstrated the existence of superconductor-like behaviour in sciatic nerve [3,5]. Our main interest lies in the electrical properties of large-scale nerve networks at low temperature during physiological or pathological situations. Understanding these complex functions of nerves during different sychological status requires a multidisciplinary approach [1-5] reported that superconductor-like behaviour is related to the development of metabolic function, the development of myelin and the three-dimensional arrangement of proteins and ion channels. Nerve fibres conduct nerve impulses very quickly because the myelin sheath has gaps, which allows the nerve impulse to jump from gap to gap and travel faster [3]. The mechanism of superconductivity and the saltation over the myelin sheathed portions of the nerves showed many similarities with superconductors. Interestingly, in superconductor materials we found Josephson junction. Josephson Junctions are thin layer of insulating material sandwiched between two superconducting layers. Electrons “Tunnel” through this non-superconducting region in what is known as the Josephson effects Mbainaibeye et al. [8]. Here a superconducting current flows even in the absence of an external voltage. Moreover, the gradient shift of superconductor-like behaviour in the nervous system from poikilotherms to endotherms is correlated with the degree of myelinisation and one exemple of energy management [3].

Energy could be understood as conventional measurement of
metabolic rate with thermochemistry approches based on QR indicat
the metabolism nature (glucidic, lipidic, or protidic) or innovative
approach to understand the energy management in the brain or nervous
system like superconductor-behaviour that explain the improvement
of information treatment and electric conduction without heat loss.
Moreover, we can discuss the energy fluctuation as dynamic energy
(**Figure 18**) on the body. The dynamic energy move through the
body (digestive tube, etc) and vary with the body shape in female
and male. The electromagnetic pollution (artificial EMF) could alter
the equilibrum of the dynamic energy and metabolic rate (metabolic
energy) in order to explain stress, diabete, hypoxia, cancer…etc and
behaviour or neurological disease like amnesia, anxiety, or Alzheimer
[9,10].

We have to consider three level of energy in the body (E0
physiological, E1 : high energy, E3 : low energy) (**Figure 18**). Energy
level is represented on a scale of -1 (lowest) and 1 (highest). Energy
fluctuation of between negative or positive is related to body shape
(man or women), metabolic rate, and environment (pollution,
electromagnetic field pollution, stress,…etc). When nervous system
works as superconductor-like behavior we have E0 energy and its
fluctuation lead to metabolic disorder or modulate positively or
negatively our emotions. We can draw three circles of energy (body
energy, nervous system energy, environment energy) four different
behavior that represent energy states as high or low and as either
positive or negative. Low energy fluctuation from E0 (physiological
for the body and nervous system) and weak noise in the environment
explain good health. The energy fluctuation in one circle (E1 or E-1)
lead to different behaviour and emotions implicated in the disease of
genesis. Interestingly, alteration of superconductor-behaviour could
be associated with neurodegenerative disease or differtens motor dysfunction as paralysia in Human and animal. The diseases associated
to the alteration of superconductor-like behavior could be considered
as an increase of heat loss and energy with low information treatment.

Harvesting natural energy (solar electromagnetic field) or artificial (electromagnetic field generated from mobile phone, WIFI, WIMAX…) in the Human or animal environment has been identified as an effective way to modulate the body energy in wireless body area networks such as superconductor-like behaviour in nervous sytem (NS) based on the EMF circulation through myelin nanopares or mitochondria in cells. Morover, eating heavily could influence energy balance with classical physiology based on respiratory thermochemistry (QR) associated to digestive wastes in the body that can be linked to the possible interaction of electromagneticfield with fuel metabolite in the digestive tube. Natural and artificial electromagnetic field can act on the body surface and modulate body energy positively or negatively with different mechanisms based on size and body shape in Human and animals.

The analysis by the wavelet transform shows that between 250 ºK and 240 ºK, the frog sciatic nerve presents a 0.5 singularity order which indicates the magnitude discontinuity in its electrical resistance behaviour. The main contribution of this review is that we report the existence of superconductor-like behaviour in sciatic nerves and the precise characterization by the wavelet transform of the impulse response of the sciatic nerve.

In addition, we introduce a theory related to energy management between three circles (Body energy, nervous sytem energy, and environment energy) that explain in part health or diseases in Human or animals.

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