The energy balance theory is an inconsistent paradigm.

Metabolic physiology asserts that body weight stability is achieved when over time the average absorbed energy intake equals the average expended energy. This principle, known as energy balance, justifies the design of numerous investigations that aim to elucidate the biology of obesity. The present work provides a mathematical analysis that demonstrates, nonetheless, that weight stability must coexist with a constant energy imbalance, i.e., the average absorbed energy intake and the average expended energy are significantly different during steady weight periods. This analytical finding is not in contradiction with the First Law of Thermodynamics since open systems can manifest a stable mass in the absence of energy equilibrium. The effect of caloric imbalance on weight fluctuations is thus the result of its underlying net mass flux. The energy balance theory is, consequently, an inconsistent paradigm; and as such, the data analysis and interpretation that follows from its postulates is expected to be erroneous.

Computational and theoretical insights into the homeostatic response to the decreased cell size of midbrain dopamine neurons.

Midbrain dopamine neurons communicate signals of reward anticipation and attribution of salience. This capacity is distorted in heroin or cocaine abuse or in conditions such as human mania. A shared characteristic among rodent models of these behavioral disorders is that dopamine neurons in these animals acquired a small size and manifest an augmented spontaneous and burst activity. The biophysical mechanism underlying this increased excitation is currently unknown, but is believed to primarily follow from a substantial drop in K+ conductance secondary to morphology reduction. This work uses a dopamine neuron mathematical model to show, surprisingly, that under size diminution a reduction in K+ conductance is an adaptation that attempts to decrease cell excitability. The homeostatic response that preserves the intrinsic activity is the conservation of the ion channel density for each conductance; a result that is analytically demonstrated and challenges the experimentalist tendency to reduce intrinsic excitation to K+ conductance expression level. Another unexpected mechanism that buffers the raise in intrinsic activity is the presence of the ether-a-go-go-related gen K+ channel since its activation is illustrated to increase with size reduction. Computational experiments finally demonstrate that size attenuation results in the paradoxical enhancement of afferent-driven bursting as a reduced temporal summation indexed correlates with improved depolarization. This work illustrates, on the whole, that experimentation in the absence of mathematical models may lead to the erroneous interpretation of the counterintuitive aspects of empirical data.

Erratum to "Serious analytical inconsistencies challenge the validity of the energy balance theory" [Heliyon 6 7 (July 2020) e04204].

[This corrects the article DOI: 10.1016/j.heliyon.2020.e04204.].

Serious analytical inconsistencies challenge the validity of the energy balance theory.

Energy metabolism theory affirms that body weight stability is achieved as over time the average energy intake equals the average energy expenditure, a state known as energy balance. Here it is demonstrated, however, that weight stability coexists with a persistent energy imbalance. Such unexpected result emerges as a consequence of the answers to three fundamental problems: 1. Is it possible to model body weight fluctuations without the energy balance theory? And if so, what are the benefits over the energy balance strategy? 2. During energy balance, how the oxidized macronutrient distribution that underlies the average energy expenditure is related to the macronutrient distribution of the average energy intake? 3. Is energy balance possible under a low-fat diet that simultaneously satisfies the following conditions? (a) The fat fraction of the absorbed energy intake is always less than the oxidized fat fraction of the energy expenditure. (b) The carbohydrate fraction of the absorbed energy intake is always greater or equal to the oxidized carbohydrate fraction of the energy expenditure. The first of these issues is addressed with the axiomatic method while the rest are managed through analythical arguments. On the whole, this analysis identifies inconsistencies in the principle of energy balance. The axiomatic approach results also in a simple mass balance model that fits experimental data and explains body composition alterations. This model gives rise to a convincing argument that appears to elucidate the advantage of low-carbohydrate diets over isocaloric low-fat diets. It is concluded, according to the aforementioned model, that weight fluctuations are ultimately dependent on the difference between daily food mass intake and daily mass loss (e.g., excretion of macronutrient oxidation products) and not on energy imbalance. In effect, it is shown that assuming otherwise may caused unintended weight gain.

Cocaine sensitization increases subthreshold activity in dopamine neurons from the ventral tegmental area.

The progressive escalation of psychomotor responses that results from repeated cocaine administration is termed sensitization. This phenomenon alters the intrinsic properties of dopamine (DA) neurons from the ventral tegmental area (VTA), leading to enhanced dopaminergic transmission in the mesocorticolimbic network. The mechanisms underlying this augmented excitation are nonetheless poorly understood. DA neurons display the hyperpolarization-activated, nonselective cation current, dubbed Ih We recently demonstrated that Ih and membrane capacitance are substantially reduced in VTA DA cells from cocaine-sensitized rats. The present study shows that 7 days of cocaine withdrawal did not normalize Ih and capacitance. In cells from cocaine-sensitized animals, the amplitude of excitatory synaptic potentials, at -70 mV, was ∼39% larger in contrast to controls. Raise and decay phases of the synaptic signal were faster under cocaine, a result associated with a reduced membrane time constant. Synaptic summation was paradoxically elevated by cocaine exposure, as it consisted of a significantly reduced summation indexed but a considerably increased depolarization. These effects are at least a consequence of the reduced capacitance. Ih attenuation is unlikely to explain such observations, since at -70 mV, no statistical differences exist in Ih or input resistance. The neuronal shrinkage associated with a diminished capacitance may help to understand two fundamental elements of drug addiction: incentive sensitization and negative emotional states. A reduced cell size may lead to substantial enhancement of cue-triggered bursting, which underlies drug craving and reward anticipation, whereas it could also result in DA depletion, as smaller neurons might express low levels of tyrosine hydroxylase. NEW & NOTEWORTHY: This work uses a new approach that directly extracts important biophysical parameters from alpha function-evoked synaptic potentials. Two of these parameters are the cell membrane capacitance (Cm) and rate at any time point of the synaptic waveform. The use of such methodology shows that cocaine sensitization reduces Cm and increases the speed of synaptic signaling. Paradoxically, although synaptic potentials show a faster decay under cocaine their temporal summation is substantially elevated.

New method to visualize neurons with DAT in slices of rat VTA using fluorescent substrate for DAT, ASP+

The ventral tegmental area (VTA), and in particular dopamine (DA) neurons in this region of midbrain, has been shown to play an important role in motivation (goal-directed behavior), reward, and drug addiction. Most evidence that implicates VTA DA neurons in these functions are based on widely accepted but indirect electrophysiological characterization, including the hyperpolarization activated non-specific cation current (Ih), spike frequency, and inhibition by D2 receptor agonists. In this study, we used a known neuronal dopamine transporter (DAT) fluorescent substrate [4-(4- (dimethylamino) styryl)-N-methylpyridinium iodide] (ASP+) to visualize DAT-containing cell bodies of DA neurons in VTA region in rat brain slices. Uptake of 100 nM of ASP+ in brain slices of rat VTA region marked 38% of visible neurons, while other neurons from this region and 100% neurons from hippocampus slices were not fluorescent. Using patch-clamp techniques, we have found that pronounced Ih current was present in all fluorescent neurons from VTA area, also spike frequency was similar to the widely accepted values for DA neurons. Furthermore, additional study has shown that there are 84% coincidence of ASP+ fluorescence in neuronal cell bodies and Falck-Hillarp labeling of DA cells. Electrophysiological recordings during ASP+ application have confirmed that low concentrations (100 nM) of ASP+ have no visible effect on neuronal activity during 1-2 hours after staining. Thus, uptake of fluorescent monoamine analog ASP+ by DAT can be an additional criterion for identification of DAT-containing neurons in slices.

Cocaine sensitization increases I h current channel subunit 2 (HCN2) protein expression in structures of the mesocorticolimbic system.

Alteration of the biological activity among neuronal components of the mesocorticolimbic (MCL) system has been implicated in the pathophysiology of drug abuse. Changes in the electrophysiological properties of neurons involved in the reward circuit seem to be of utmost importance in addiction. The hyperpolarization-activated cyclic nucleotide current, I h, is a prominent mixed cation current present in neurons. The biophysical properties of the I h and its potential modulatory role in cell excitability depend on the expression profile of the hyperpolarization-activated cyclic nucleotide gated channel (HCN) subunits. We investigated whether cocaine-induced behavioral sensitization, an animal model of drug addiction, elicits region-specific changes in the expression of the HCN2 channel's subunit in the MCL system. Tissue samples from the ventral tegmental area, prefrontal cortex, nucleus accumbens, and hippocampus were analyzed using Western blot. Our findings demonstrate that cocaine treatment induced a significant increase in the expression profile of the HCN2 subunit in both its glycosylated and non-glycosylated protein isoforms in all areas tested. The increase in the glycosylated isoform was only observed in the ventral tegmental area. Together, these data suggest that the observed changes in MCL excitability during cocaine addiction might be associated with alterations in the subunit composition of their HCN channels.

Presynaptic inhibition of glutamate transmission by α2 receptors in the VTA.

The ventral tegmental area (VTA) forms part of the mesocorticolimbic system and plays a pivotal role in reward and reinforcing actions of drugs of abuse. Glutamate transmission within the VTA controls important aspects of goal-directed behavior and motivation. Noradrenergic receptors also present in the VTA have important functions in the modulation of neuronal activity. Here we studied the effects of α2 noradrenergic receptor activation in the alteration of glutamate neurotransmission in VTA dopaminergic neurons from male Sprague-Dawley rats. We used whole-cell patch-clamp recordings from putative VTA dopaminergic neurons and measured excitatory postsynaptic currents. Clonidine (40 µm) and UK 14,304 (40 µm), both α2 receptor agonists, reduced (approximately 40%) the amplitude of glutamate-induced excitatory postsynaptic currents. After clonidine administration, there was a dose-dependent reduction over the concentration range of 15-40 µm. Using yohimbine (20 µm) and two other α2 adrenergic receptor antagonists, idaxozan (40 µm) and atipemazole (20 µm), we demonstrated that the inhibitory action is specifically mediated by α2 receptors. Moreover, by inhibiting protein kinases with H-7 (75 µm), Rp-adenosine 3',5'-cyclic (11 µm) and chelerythrine (1 µm) it was shown that the clonidine-induced inhibition seems to involve a selective activation of the protein kinase C intracellular pathway. Increased paired-pulse ratios and changes in spontaneous and miniature excitatory postsynaptic current frequencies but not amplitudes indicated that the effect of the α2 agonist was presynaptically mediated. It is suggested that the suppression of glutamate excitatory inputs onto VTA dopaminergic neurons might be relevant in the regulation of reward and drug-seeking behaviors.

Cocaine sensitization inhibits the hyperpolarization-activated cation current Ih and reduces cell size in dopamine neurons of the ventral tegmental area.

The progressive augmentation of motor activity that results from repeated cocaine administration is termed behavioral sensitization. This phenomenon is thought to be a critical component in compulsive drug taking and relapse. Still, the cellular mechanisms that underlie sensitization remain elusive. Cocaine abuse, nonetheless, is known to evoke neuroplastic adaptations in dopamine (DA) neurotransmission originating from the midbrain's ventral tegmental area (VTA). Here, we report that concomitant with the development of locomotor sensitization to cocaine the hyperpolarization-activated cation current (I(h)) amplitude is depressed by ∼40% in VTA DA cells. Such effect did not result from a negative shift in I(h) voltage dependence. Nonstationary fluctuation analysis indicates that this inhibition was caused by an ∼45% reduction in the number of h-channels with no change in their unitary properties. The cocaine-induced I(h) depression was accompanied by a reduction in cell capacitance of similar magnitude (∼33%), leaving h-current density unaltered. Two implications follow from these data. First, I(h) inhibition may contribute to cocaine addiction by increasing bursting probability in DA cells and this effect could be intensified by the decrease in cell capacitance. Second, the cocaine-induced diminution of DA cell capacitance may also lead to reward tolerance promoting drug-seeking behaviors.