An analytical model of temperature regulation in human head

An analytical model of human brain temperature regulation is proposed. The model describes the distribution of brain temperature as a function of internal and external parameters, such as temperature of the incoming arterial blood, blood flow, oxygen consumption rate, ambient temperature, and heat exchange with the environment. It is shown that substantial changes in human brain temperature can be accomplished only through changes in the temperature of the incoming arterial blood or substantial suppression of blood flow. Other parameters can lead only to temperature changes near the brain surface.     

Local alternated temperature gradients as footprints of cortical functional activation

Heat liberation in the brain was utilized as a direct signature of functional activation. We hypothesize that both temporal and spatial uncoupling between local cerebral blood flow (lCBF) and metabolic temperature components can be explored through the imaging of brain thermal gradients evoked by functional stimulation.

Surface cortical infrared (IR) images were obtained from 34 patients undergoing surgery for brain lesions under baseline conditions following peripheral nerve stimulation and, in some patients, during active behavioral tasks such as finger apposition and repetitive hand movements. An IR camera (0.02 °C sensitivity, 3–5 μm wavelength) was used to image local thermal gradients across the cerebral cortex by passively detecting IR emission.

Neural activation elicited reproducible temperature changes (0.04–0.09 °C) within the primary somatosensory cortex during median nerve stimulation and in the sensorimotor cortex during repetitive hand movements and finger tapping. The initial temperature responses were detected as early as 100–200 ms, the peak IR response occurred 5–7 s after stimulus onset.

Models of the relationship between evoked thermal gradients, lCBF and metabolic heat are proposed. Since the latencies of local metabolic and lCBF responses to stimulation vary by more than an order of magnitude, we are able to separate vascular-dependent and metabolic-dependent temperature components and thus create two discrete brain images, each reflecting distinct physiological mechanisms of functional activation. The resultant temperature profile reflects the balance between metabolism and lCBF, and therefore the degree of their functional uncoupling for the exposed and (possibly) for the intact normal human brain.     

U-14C]glucose metabolism of the perfused cat brain with blood flow disturbances

—In order to study changes of the glycolytic-respiratory system and amino acid metabolism associated with blood flow disturbance, the cat brain perfusion was conducted with artificial blood containing [U-¹⁴C]glucose and the results were compared with those of standard perfusion keeping the cerebral blood flow at constant rate. The findings of the present study are briefly summarized: (1) In blood flow disturbance there was observed an accumulation of lactate just as seen in the low functional state observable in the standard perfusion. However the increase in relative specific activity of lactate was not so marked as the rise in cerebral lactate content, and this indicates that there is an increase of lactate production from substrates other than glucose as well as an increase of net flow of glucose carbon to lactate. (2) In blood flow disturbance relative specific activities of glutamate, aspartate, glutamine and respiratory CO₂ were decreased as compared with those in the brain of high functional state. The relative specific activity of GABA in the reduced blood flow brain was at the same level as that of the brain at high functional state and it was higher than the relative specific activity of glutamate. (3) The relative specific activity and content of alanine were increased in the low function brain with standard perfusion.     

From Blood Oxygenation Level Dependent (BOLD) Signals to Brain Temperature Maps

A theoretical framework is presented for converting Blood Oxygenation Level Dependent (BOLD) images to brain temperature maps, based on the idea that disproportional local changes in cerebral blood flow (CBF) as compared with cerebral metabolic rate of oxygen consumption (CMRO ₂) during functional brain activity, lead to both brain temperature changes and the BOLD effect. Using an oxygen limitation model and a BOLD signal model, we obtain a transcendental equation relating CBF and CMRO ₂ changes with the corresponding BOLD signal, which is solved in terms of the Lambert W function. Inserting this result in the dynamic bioheat equation describing the rate of temperature changes in the brain, we obtain a nonautonomous ordinary differential equation that depends on the BOLD response, which is solved numerically for each brain voxel. Temperature maps obtained from a real BOLD dataset registered in an attention to visual motion experiment were calculated, obtaining temperature variations in the range: (−0.15, 0.1) which is consistent with experimental results. The statistical analysis revealed that significant temperature activations have a similar distribution pattern than BOLD activations. An interesting difference was the activation of the precuneus in temperature maps, a region involved in visuospatial processing, an effect that was not observed on BOLD maps. Furthermore, temperature maps were more localized to gray matter regions than the original BOLD maps, showing less activated voxels in white matter and cerebrospinal fluid.     

A model of brain circulation and metabolism: NIRS signal changes during physiological challenges

We construct a model of brain circulation and energy metabolism. The model is designed to explain experimental data and predict the response of the circulation and metabolism to a variety of stimuli, in particular, changes in arterial blood pressure, CO(2) levels, O(2) levels, and functional activation. Significant model outputs are predictions about blood flow, metabolic rate, and quantities measurable noninvasively using near-infrared spectroscopy (NIRS), including cerebral blood volume and oxygenation and the redox state of the Cu(A) centre in cytochrome c oxidase. These quantities are now frequently measured in clinical settings; however the relationship between the measurements and the underlying physiological events is in general complex. We anticipate that the model will play an important role in helping to understand the NIRS signals, in particular, the cytochrome signal, which has been hard to interpret. A range of model simulations are presented, and model outputs are compared to published data obtained from both in vivo and in vitro settings. The comparisons are encouraging, showing that the model is able to reproduce observed behaviour in response to various stimuli.     

Modelling of the Coupling between Brain Electrical Activity and Metabolism

In order to make an attempt at grouping the various aspects of brain functional imaging (fMRI, MRS, EEG-MEG, ...) within a coherent frame, we implemented a model consisting of a system of differential equations, that includes: (1) sodium membrane transport, (2) Na/K ATPase, (3) neuronal energy metabolism (i.e. glycolysis, buffering effect of phosphocreatine, and mitochondrial respiration), (4) blood-brain barrier exchanges and (5) brain hemodynamics, all the processes which are involved in the activation of brain areas. We assumed that the correlation between brain activation and metabolism could be due to either changes in the concentrations of ATP and ADP following activation of Na/K ATPase that result from the changes in ion concentrations, or the involvement, in different phases of metabolism, of a second messenger such as calcium. In this article, we show how this type of model enables interpretation of MRS and fMRI published data that were obtained during prolonged stimulations.     

Neighborly interactions of metabolically-activated astrocytes in vivo

Metabolic responses of brain cells to a stimulus are governed, in part, by their enzymatic specialization and interrelationships with neighboring cells, and local shifts in functional metabolism during brain activation are likely to be influenced by the neurotransmitter system, subcellular compartmentation, and anatomical structure. Selected examples of functional activation illustrate the complexity of metabolic interactions in working brain and of interpretation of changes in brain lactate levels. The major focus of this article is the disproportionately higher metabolism of glucose compared to oxygen in normoxic brain, a phenomenon that occurs during activation in humans and animals. The glucose utilized in excess of oxygen is not fully explained by accumulation of glucose, lactate, or glycogen in brain or by lactate efflux from brain to blood. Thus, any lactate derived from the excess glucose could not have been stoichiometrically exported to and metabolized by neighboring neurons because oxygen consumption would have otherwise increased and matched that of glucose. Metabolic labeling of tricarboxylic acid cycle-derived amino acids increased during brief sensory stimulation, reflecting a rise in oxidative metabolism. Brain glycogen is mainly in astrocytes, and its level falls throughout the stimulus and early post-activation interval. Glycogenolysis cannot be accounted for by lactate accumulation or oxidation; there must be rapid product clearance. Glycogen restoration is slow and diversion of glucose from oxidative pathways for its re-synthesis could reduce the global O(2)/glucose uptake ratio; astrocytes could downshift this ratio for up to an hour after 5 min stimulus. Morphological studies of astrocytes reveal a paucity of cytoplasm and organelles in the fine processes that surround synapses and form gap junction connections with neighboring astrocytes. Specialized regions of astrocytes, e.g. their endfeet and thin peripheral lamellae, are likely to have compartmentalized metabolic activities. Anatomical constraints imposed upon the fine processes might require preferential utilization of glycolysis to satisfy their energy demands, but rapid lactate clearance would then be essential, since its accumulation would inhibit glycolysis. Gap junctional connections between neighboring astrocytes provide a mechanism for rapid metabolite spreading via the astrocytic syncytium and elimination of by-products. Local structure-function relationships need to be incorporated into experimental models of neuron-astrocyte and astrocyte-astrocyte interactions in working brain.     

Cerebral blood flow regulation in REM sleep: a model for flow-metabolism coupling.

The pattern of metabolic and circulatory changes occurring during REM sleep in the whole brain is also observed at a regional level in different instances of functional activation. This pattern is characterized by an increase in metabolic rate, blood flow, glucose and oxygen uptake, the increase in glucose uptake generally exceeding oxygen uptake. A model of interpretation is presented, based on the assumption that substantial limitation to oxygen diffusion exists in the brain. According to the model, microregions lying at mid-distance between capillaries may become hypoxic, depending on metabolic rate and blood-cell PO2 difference. At increasing metabolic rates, O2 consumption in pericapillary microregions increases and the PO2 drop becomes steeper. As a consequence, in microregions far from capillaries a decrease in O2 availability occurs, in concomitance with the increase in metabolic rate, so that non-oxidative glucose metabolism develops locally. A similar spatial PO2 pattern forms in the case of arterial hypoxia, when capillary PO2, and then blood-cell PO2 difference, is reduced. The hypoxic microregions are the source of vasodilatatory messages, the consequent vasodilatation increasing average capillary PO2 and then favoring O2 diffusion to the tissue. Oxygen thus appears to be a better candidate than glucose as a mediator of blood flow-metabolism coupling. This is supported by its higher extraction fraction and by the fact that, in physiologic conditions, arterial hypoxia (and not hypoglycemia) acts on cerebral blood flow. Moreover, the diffusion capacity of glucose in the brain is higher than that of oxygen, so that diffusion limitation is more likely to occur for oxygen. The present model allows consistent organization of the stereotyped changes in cerebral blood flow and glucose and oxygen uptake occurring both in REM sleep and in other instances of brain activation.     

Real Time Intraoperative Functional Brain Mapping Based on RGB Imaging

Intraoperative optical imaging is a localization technique for the functional areas of the human brain cortex during neurosurgical procedures. However, it still lacks robustness to be used as a clinical standard. In particular new biomarkers of brain functionality with improved sensitivity and specificity are needed. We present a method for the real time identification of the activated cortical areas based on the analysis of the cortical hemodynamic using a RGB camera and a white light source. We measure the quantitative oxy and deoxy-hemoglobin concentration changes in the human brain cortex with the modified Beer-Lambert law and Monte Carlo simulations. A functional model has been implemented to define in real time a binary biomarker of the cortical activation following neuronal activation by physiological stimuli. The results show a good correlation between the computed activation maps and the brain areas localized by electrical brain stimulation. We demonstrate that a RGB camera combined with a quantitative modeling of brain hemodynamics biomarkers can evaluate in real time the functional areas during neurosurgery and serve as a tool of choice to complement electrical brain stimulation.     

Targeted Activation of Astrocytes: A Potential Neuroprotective Strategy

Astrocytes are involved in many key physiological processes in the brain, including glutamatergic transmission, energy metabolism, and blood flow control. They become reactive in response to pathological situations, a response that involves well-described morphological alterations and less characterized functional changes. The functional consequences of astrocyte reactivity seem to depend on the molecular pathway involved and may result in the enhancement of several neuroprotective and neurotrophic functions. We propose that a selective and controlled activation of astrocytes may switch these highly pleiotropic cells into therapeutic agents to promote neuron survival and recovery. This may represent a potent therapeutic strategy for many brain diseases in which neurons would benefit from an increased support from activated astrocytes.     

Human males and females body thermoregulation: Perfusion effect analysis

Skin temperature is a common physiological parameter that reflects thermal responses. Blood perfusion is an important part of the physiological processes that the human body undergoes in order to maintain homeostasis. This study focuses on the effect of perfusion on the temperature distribution in human males and females body in different thermal environment. The study has been carried out for one dimensional steady cases using finite element method. The input parameter of the model is the blood perfusion or volumetric flow rate within the tissue. The appropriate physical and physiological parameters together with suitable boundary conditions that affect the heat regulations have been incorporated in the model. The study is to have a better understanding that how does thermoregulation change in human males and females skin layered due to perfusion.     

Effects of hypoxia-reoxygenation on rat blood-brain barrier permeability and tight junctional protein expression

Cerebral microvessel endothelial cells that form the blood-brain barrier (BBB) have tight junctions (TJs) that are critical for maintaining brain homeostasis. The effects of initial reoxygenation after a hypoxic insult (H/R) on functional and molecular properties of the BBB and TJs remain unclear. In situ brain perfusion and Western blot analyses were performed to assess in vivo BBB integrity on reoxygenation after a hypoxic insult of 6% O2 for 1 h. Model conditions [blood pressure, blood gas chemistries, cerebral blood flow (CBF), and brain ATP concentration] were also assessed to ensure consistent levels and criteria for insult. In situ brain perfusion revealed that initial reoxygenation (10 min) significantly increased the uptake of [14C]sucrose into brain parenchyma. Capillary depletion and CBF analyses indicated the perturbations were due to increased paracellular permeability rather than vascular volume changes. Hypoxia with reoxygenation (10 min) produced an increase in BBB permeability with associated alterations in tight junctional protein expression. These results suggest that H/R leads to reorganization of TJs and increased paracellular diffusion at the BBB, which is not a result of increased CBF, vascular volume change, or endothelial uptake of marker. Additionally, the tight junctional protein occludin had a shift in bands that correlated with functional changes (i.e., increased permeability) without significant change in expression of claudin-3, zonula occludens-1, or actin. H/R-induced changes in the BBB may result in edema and/or associated pathological outcomes.     

Temperature difference between the body core and arterial blood supplied to the brain during hyperthermia or hypothermia in humans

 A vascular heat transfer model is developed to simulate temperature decay along the carotid arteries in humans, and thus, to evaluate temperature differences between the body core and arterial blood supplied to the brain. Included are several factors, including the local blood perfusion rate, blood vessel bifurcation in the neck, and blood vessel pairs on both sides of the neck. The potential for cooling blood in the carotid artery by countercurrent heat exchange with the jugular veins and by radial heat conduction to the neck surface was estimated. Cooling along the common and internal carotid arteries was calculated to be up to 0.87 °C during hyperthermia by high environmental temperatures or muscular exercise. This model was also used to evaluate the feasibility of lowering the brain temperature effectively by placing ice pads on the neck and head surface or by wearing cooling garments during hypothermia treatment for brain injury or other medical conditions. It was found that a 1.1 °C temperature drop along the carotid arteries is possible when the neck surface is cooled to 0 °C. Thus, the body core temperature may not be a good indication of the brain temperature during hyperthermia or hypothermia. Received: 10 January 2002 / Accepted: 7 May 2002 This research was supported by a UMBC Summer Faculty Fellowship.     

Interspecies activity correlations reveal functional correspondence between monkey and human brain areas

Evolution-driven functional changes in the primate brain are typically assessed by aligning monkey and human activation maps using cortical surface expansion models. These models use putative homologous areas as registration landmarks, assuming they are functionally correspondent. For cases in which functional changes have occurred in an area, this assumption prohibits to reveal whether other areas may have assumed lost functions. Here we describe a method to examine functional correspondences across species. Without making spatial assumptions, we assessed similarities in sensory-driven functional magnetic resonance imaging responses between monkey (Macaca mulatta) and human brain areas by temporal correlation. Using natural vision data, we revealed regions for which functional processing has shifted to topologically divergent locations during evolution. We conclude that substantial evolution-driven functional reorganizations have occurred, not always consistent with cortical expansion processes. This framework for evaluating changes in functional architecture is crucial to building more accurate evolutionary models.     

Mitochondrial function and alzheimer's disease

The brain is highly dependent on aerobic metabolism. Normal mitochondrial function is therefore likely to play a critical role in neuronal function and integrity. Defects in the mitochondrial oxidative phosphorylation pathway (OXPHOS) have been demonstrated in aging human tissue including brain. It is not clear whether underlying mitochondrial DNA mutations are responsible for the observed functional defects. The previously reported OXPHOS defects, in particular reduced cytochrome c oxidase activity, in Alzheimer's disease (AD) are not likely to be due to specific enzyme dysfunction. The falloff in cytochrome c oxidase activity in AD brains is more likely to be related to a global decline in mitochondrial activity manifested by downregulation in mitochondrial number. It is not definitely established where the observed mitochondrial changes are placed in the AD cascade. A number of factors might contribute to the observed changes in OXPHOS function including mitochondrial transport through axonal and dendritic processes, compromised regulatory feedback mechanisms responsible for individual complex-subunit synthesis, and complex assembly.     

Pericytes control key neurovascular functions and neuronal phenotype in the adult brain and during brain aging

Pericytes play a key role in the development of cerebral microcirculation. The exact role of pericytes in the neurovascular unit in the adult brain and during brain aging remains, however, elusive. Using adult viable pericyte-deficient mice, we show that pericyte loss leads to brain vascular damage by two parallel pathways: (1) reduction in brain microcirculation causing diminished brain capillary perfusion, cerebral blood flow, and cerebral blood flow responses to brain activation that ultimately mediates chronic perfusion stress and hypoxia, and (2) blood-brain barrier breakdown associated with brain accumulation of serum proteins and several vasculotoxic and/or neurotoxic macromolecules ultimately leading to secondary neuronal degenerative changes. We show that age-dependent vascular damage in pericyte-deficient mice precedes neuronal degenerative changes, learning and memory impairment, and the neuroinflammatory response. Thus, pericytes control key neurovascular functions that are necessary for proper neuronal structure and function, and pericyte loss results in a progressive age-dependent vascular-mediated neurodegeneration.     

Perivascular nerves and the regulation of cerebrovascular tone.

Brain perfusion is tightly coupled to neuronal activity, is commonly used to monitor normal or pathological brain function, and is a direct reflection of the interactions that occur between neuronal signals and blood vessels. Cerebral blood vessels at the surface and within the brain are surrounded by nerve fibers that originate, respectively, from peripheral nerve ganglia and intrinsic brain neurons. Although of different origin and targeting distinct vascular beds, these "perivascular nerves" fulfill similar roles related to cerebrovascular functions, a major one being to regulate their tone and, therein, brain perfusion. This utmost function, which underlies the signals used in functional neuroimaging techniques and which can be jeopardized in pathologies such as Alzheimer's disease, stroke, and migraine headache, is thus regulated at several levels. Recently, new insights into our understanding of how neural input regulate cerebrovascular tone resulted in the rediscovery of the functional "neurovascular unit." These remarkable advances suggest that neuron-driven changes in vascular tone result from interactions that involve all components of the neurovascular unit, transducing neuronal signals into vasomotor responses not only through direct interaction between neurons and vessels but also indirectly via the perivascular astrocytes. Neurovascular coupling is thus determined by chemical signals released from activated perivascular nerves and astrocytes that alter vascular tone to locally adjust perfusion to the spatial and temporal changes in brain activity.     

Astrocyte activation in vivo during graded photic stimulation

Astrocytes have important roles in control of extracellular environment, de novo synthesis of neurotransmitters, and regulation of neurotransmission and blood flow. All of these functions require energy, suggesting that astrocytic metabolism should rise and fall with changes in neuronal activity and that brain imaging can be used to visualize and quantify astrocytic activation in vivo . A unilateral photic stimulation paradigm was used to test the hypothesis that graded sensory stimuli cause progressive increases in the uptake coefficient of [2-¹⁴C]acetate, a substrate preferentially oxidized by astrocytes. The acetate uptake coefficient fell in deafferented visual structures and it rose in intact tissue during photic stimulation of conscious rats; the increase was highest in structures with monosynaptic input from the eye and was much smaller in magnitude than the change in glucose utilization (CMR_glc) by all cells. The acetate uptake coefficient was not proportional to stimulus rate and did not correlate with CMR_glc in resting or activated structures. Simulation studies support the conclusions that acetate uptake coefficients represent mainly metabolism and respond to changes in metabolism rate, with a lower response at high rates. A model portraying regulation of acetate oxidation illustrates complex relationships among functional activation, cation levels, and astrocytic metabolism.     

Systemic investigation of a brain-centered model of the human energy metabolism

The regulation of the human energy metabolism is crucial to ensure the functionality of the entire organism. Deregulations may lead to severe pathologies such as diabetes mellitus and obesity. The decisive role of the brain as active controller and heavy consumer in the complex whole-body energy metabolism is the object of recent research. Latest studies suggest the priority of the brain energy supply in the competition between brain and body periphery for the available energy resources. In this paper, a systemic investigation of the human energy metabolism is presented which consists of a compartment model including periphery, blood, and brain as well as signaling paths via insulin, appetite, and ingestion. The presented dynamical system particularly contains the competition for energy between brain and body periphery. Characteristically, the hormone insulin is regarded as central feedback signal of the brain. The model realistically reproduces the qualitative behavior of the energy metabolism. Short-time observations demonstrate the physiological periodic food intake generating the typical oscillating blood glucose variations. Integration over the daily cycle yields a long-term model which shows a stable behavior in accordance with the homeostatic regulation of the energy metabolism on a long-time scale. Two types of abstract constitutive equations describing the interaction between compartments and signals are taken into consideration. These are nonlinear and linear representatives from the class of feasible relations. The robustness of the model against the choice of the representative relation is linked to evolutionary stability of existing organisms.     

Heat transfer modeling of the tongue

The heat transfer mechanism of tongue was investigated on the basis of experimental and theoretical research. Firstly, the relationship between tongue temperature and blood perfusion was obtained from animal experiment that mainly carried out on porcine tongue, subordinate on human tongue. Secondly, a one-dimensional variable coefficients second-order inhomogeneous heat transfer equation is developed by simplifying tongue as fin cube and the analytical solution is got. The results show that the change regulations of temperature by blood perfusion rate are the same in human and porcine tongue, and also, there is a good agreement between calculation and experimental results. When checking the model with corresponding properties of human tongue, the result is also satisfied. In conclusion, predicting temperature distribution of tongue is feasible with the fin cube model.