Prediction of temperature profiles in the human skin and subcutaneous tissues

Exact mathematical solutions in terms of confluent hypergeometric and Airy's functions are obtained to study the steady state temperature distributions in human skin and subcutaneous tissues (SST). It is assumed that the skin is exposed to an air environment and heat transfer from the skin occurs by convection, radiation and evaporation. A mathematical model of the SST, accounting for heat conduction, perfusion of the capillary beds and metabolic heat productions of the dermis and subcutaneous tissues, has been solved to obtain interface temperatures for a wide range of environmental temperatures, rates of evaporation of sweat, wind speeds and relative humidities. The solutions provide inter-relationships between interface temperatures, thermal conductivities, metabolic heat production, blood perfusion, thicknesses of various layers of SST and ambient temperature.     

Galerkin's finite element-Laplace transform technique to transient heat migration in human skin and subcutaneous tissues

Galerkin's finite element-Laplace transform technique (GAFELTTE) has been used to study transient temperature distribution in human skin and subcutaneous tissues. This study incorporates heat conduction, heat carried by perfusion of blood in the capillary beds and metabolic heat generation in the tissues. Different values of various quantities have been considered in all three parts, namely epidermis, dermis and subcutaneous tissues, depending on physiological considerations. The GAFELTTE provides interface temperatures for a wide range of the values of skin surface temperatures. These values have been used to obtain temperature profiles in the region considered. Steady-state temperature distribution has been deduced from the solution obtained by GAFELTTE and has been compared with the results obtained by using different methods.     

Steady-state heat distribution in epidermis,dermis and subdermal tissues

Steady-state temperature distribution is investigated in human skin and subdermal tissue exposed to a dry and cool environment with negligible insensible perspiration. The mathematical model incorporates the effect of blood mass flow and metabolic heat generation. The rates of the two and the tissue thermal conductivity are assumed to have different values in all the three parts, namely epidermis, dermis and subdermal tissues. A simple variational finite element approach is used to find numerical values of the interface temperatures for a wide range of the values of skin surface temperature and for different thicknesses of the above parts. These values are used to obtain approximate temperature profiles in the whole region. The biological and physical implications of the results are also discussed.     

A study on thermal damage during hyperthermia treatment based on DPL model for multilayer tissues using finite element Legendre wavelet Galerkin approach

Hyperthermia is a process that uses heat from the spatial heat source to kill cancerous cells without damaging the surrounding healthy tissues. Efficacy of hyperthermia technique is related to achieve temperature at the infected cells during the treatment process. A mathematical model on heat transfer in multilayer tissues in finite domain is proposed to predict the control temperature profile at hyperthermia position. The treatment technique uses dual-phase-lag model of heat transfer in multilayer tissues with modified Gaussian distribution heat source subjected to the most generalized boundary condition and interface at the adjacent layers. The complete dual-phase-lag model of bioheat transfer is solved using finite element Legendre wavelet Galerkin approach. The present solution has been verified with exact solution in a specific case and provides a good accuracy. The effect of the variability of different parameters such as lagging times, external heat source, metabolic heat source and the most generalized boundary condition on temperature profile in multilayer tissues is analyzed and also discussed the effective approach of hyperthermia treatment. Furthermore, we studied the modified thermal damage model with regeneration of healthy tissues as well. For viewpoint of thermal damage, the least thermal damage has been observed in boundary condition of second kind. The article concludes with a discussion of better opportunities for future clinical application of hyperthermia treatment.     

Analysis of the heterogeneity of human collagens by two-dimensional polyacrylamide-gel electrophoresis.

The heterogeneity of the CNBr-cleavage peptides of human types I, II, III and V collagens were studied by using two-dimensional electrophoresis combining non-equilibrium pH-gradient-gel electrophoresis and sodium dodecyl sulphate/polyacrylamide-gel electrophoresis. Specific 'maps' were produced by the peptides obtained from the chains of each type of collagen, and most peptides had at least three charged forms of the same molecular weight. Specific 'maps' were also produced by the peptides of types I, III and V collagens from insoluble dermis and the peptides of types I and V collagens from decalcified bone. The alpha 1(I) CB7 and alpha 1(I) CB8 and the alpha 2 CB4 peptides obtained from the type I collagens of these tissues contained the same number of charged components, but there was a relative increase in the more basic components in bone. Some aspects of the involvement of the alpha 1(I) CB6 and the alpha 1(III) CB9 peptides in cross-linkages were also studied. The recovery of the alpha 1(I) CB6 peptide from bone and dermis was decreased and the alpha 1(III) CB9 peptide was not detected in dermis. Additional peptides, which were probably cross-linked peptides involving the alpha 1(I) CB6 peptide, were also observed.     

Antinociceptive effect following dietary-induced thiamine deficiency in mice: involvement of substance P and somatostatin

We produced thiamine deficiency by treating mice with a thiamine deficient (TD) diet, but not with pyrithiamine, a thiamine antagonist. Twenty days after TD feeding, a significant antinociceptive effect was observed in the formalin test. A single injection of thiamine HCl (50 mg/kg, s.c.) on the 19th day after TD feeding (on the late TD stage) failed to reverse the antinociceptive effect, the muricide effect, and impairment of avoidance learning induced by TD feeding, as compared to pair-fed controls. These results indicate the possibility that the TD-induced antinociceptive effect may result from irreversible changes in the spinal and/or brain neurons. To clarify the involvement of substance P (SP) and somatostatin (SST) systems in the spinal cord, we examined the effect of intrathecal (i.t.) injections of these agonists on TD feeding-inducd elevation of pain threshold. I.t. injection of SP and SST elicited a behavioral response consisting of reciprocal hindlimb scratching, biting and/or licking of hindpaws. There was no significant difference in the behavioral response to SP between TD mice and PF mice on the 5th day after feeding. However, on the 10th and 20th day after TD feeding the response to SP was significantly increased compared with PF mice. This phenomenon was also observed with SST on the 20th day after TD feeding. These results indicate the possibility that TD feeding may produce an increased behavioral response to SP and SST through an enhanced sensitivity of neurokinin-1 and SST receptors in the spinal cord. Taken together, the antinociceptive effect following TD feeding may result from a decrease in spinal SP and SST contents.     

Effects of exercise and heat stress on regional blood flow in pregnant sheep

Radioactive microspheres were used to measure cardiac output and blood flow to most major tissues, including those in the pregnant uterus, in late-pregnant ewes at rest and during treadmill exercise (approximately 3-fold increase in metabolic rate for 30 min) in thermoneutral (TN) (dry bulb temperature (Tdb) = 13 degrees C, wet bulb temperature (Twb) = 10 degrees C) and mildly hot (MH) (Tdb = 40 degrees C, Twb = 27 degrees C) environments. Exercise caused major increases in blood flow to respiratory muscles, nonrespiratory limb muscles, and adipose tissue, and flow was decreased to some gastrointestinal tissues, spleen, pancreas, and to placental and nonplacental tissues in the pregnant uterus. Heat exposure had relatively little effect on these exercise-induced changes, except that flow was further increased in the respiratory muscles. Results are compared with those of a similar study on nonpregnant sheep in which changes in muscle, skin, and visceral flows during exercise were attenuated by heat exposure. It is suggested that redistribution of blood flow from the pregnant uterus, which in resting ewes took 22% of cardiac output, is a significant buffer against the potentially deleterious effects of combined exercise and heat stress on blood flow to exercising muscles and thermoregulatory tissues.     

A canine thermal model for simulating temperature responses of military working dogs

Military working dogs (MWDs) are often required to operate in dangerous or extreme environments, to include hot and humid climate conditions. These scenarios can put MWD at significant risk of heat injury. To address this concern, a two-compartment (core, skin) rational thermophysiological model was developed to predict the temperature of a MWD during rest, exercise, and recovery. The Canine Thermal Model (CTM) uses inputs of MWD mass and length to determine a basal metabolic rate and body surface area. These calculations are used along with time series inputs of environmental conditions (air temperature, relative humidity, solar radiation and wind velocity) and level of metabolic intensity (MET) to predict MWD thermoregulatory responses. Default initial values of core and skin temperatures are set at neutral values representative of an average MWD; however, these can be adjusted to match known or expected individual temperatures. The rational principles of the CTM describe the heat exchange from the metabolic energy of the core compartment to the skin compartment by passive conduction as well as the application of an active control for skin blood flow and to tongue and lingual tissues. The CTM also mathematically describes heat loss directly to the environment via respiration, including panting. Thermal insulation properties of MWD fur are also used to influence heat loss from skin and gain from the environment. This paper describes the CTM in detail, outlining the equations used to calculate avenues of heat transfer (convective, conductive, radiative and evaporative), overall heat storage, and predicted responses of the MWD. Additionally, this paper outlines examples of how the CTM can be used to predict recovery from exertional heat strain, plan work/rest cycles, and estimate work duration to avoid overheating.     

Temperature distribution in human skin and subdermal tissues

Temperature profiles have been computed in the skin and subdermal part of a human body for (i) various values of environmental temperature, rate of sweat evaporation and wind velocity, (ii) rate of blood mass flow, (iii) rate of metabolic heat generation and (iv) three different sets of thicknesses of skin layers. The mathematical equations have been considered for a one-dimensional steady-state case. The two important physical parameters, namely rate of blood mass flow and rate of metabolic heat generation, have been assigned position-dependent values. The latter is also taken as linearly dependent on the tissue temperature. Analytic solutions have been obtained for the three layers of the region. These forms of solution facilitate the study of parameter dependence.     

Effect of dermal tumours on temperature distribution in skin with variable blood flow

Several investigations have been made for the heat flow problems in skin and subdermal tissues under normal physiological and atmospheric conditions. This paper considers the existence of a malignant tumour in the underlying tissues of epidermis of a human body. The surrounding tissues are assumed to have normal physiological functions, namely self-controlled metabolic activity, variable blood flow and perspiration. For the malignant portion the metabolic activity is taken to be continuous and uncontrolled. The effect of this factor is studied on the temperature profiles of the skin.     

Effects of local heat on blood flow in infected and normal hands

Changes in response to heat in the dermal, subcutaneous, and muscle blood flow in the hands of 10 patients with hand infections were studied using 133Xe and recording of clearance data. A further 15 normal hands were studied in a similar manner. The application of topical heat to normal hands resulted in a decrease in the dermal blood flow (p less than 0.001), an increase in the subcutaneous blood flow (p less than 0.05), and perhaps an increase in the intramuscular flow (p less than 0.1). This suggests that surface heat promotes a shunting of the blood from the skin to deeper tissue layers. In infected hands, the blood flow was found to be significantly increased threefold in the intradermal circulation (p less than 0.01) and eightfold in the subcutaneous circulation (p less than 0.03) when compared to controls. In contrast to normal hands, in the infected hands, the blood flow decreased in all three compartments by 50 percent following application of heat. The blood flow of the normal hand in patients with infection did not respond to heat in the normal pattern. We conclude that the application of local heat to normal tissues results in shunting of blood flow from superficial tissues such as dermis to deeper ones such as subcutaneous fat and muscle. In infected tissues, the blood flow was found to be much higher than normal; however, the traditional belief in the improvement in blood flow by the application of heat was not confirmed.(ABSTRACT TRUNCATED AT 250 WORDS)     

Phylogenetic grouping, curvature and metabolic scaling in terrestrial invertebrates

For more than a century, the scaling of animal metabolic rates with individual body masses and environmental temperature has predominantly been described by power-law and exponential relationships respectively. Many theories have been proposed to explain these scaling relationships, but were challenged by empirically documented curvatures on double-logarithmic scales. In the present study, we present a novel data set comprising 3661 terrestrial (mainly soil) invertebrate respiration rates from 192 independent sources across a wide range in body masses, environmental temperatures and phylogenetic groups. Although our analyses documented power-law and exponential scaling with body masses and temperature, respectively, polynomial models identified curved deviations. Interestingly, complex scaling models accounting for phylogenetic groups were able to remove curvatures except for a negative curvature at the highest temperatures (>30 °C) indicating metabolic down regulation. This might indicate that the tremendous differences in invertebrate body architectures, ecology and physiology may cause severely different metabolic scaling processes.     

Thermoregulation during marathon running in cool, moderate, and hot environments.

A well-trained subject, age 38, ran continously for periods ranging from 60 to 165 min on a motor-driven treadmill at 255.7 m/min while confronted with an airflow equivalent to running speed in cool, moderate, and hot environments. After a period of intensive heat acclimatization, treadmill runs were repeated in the moderate and hot conditions. Measurements were also obtained outdoors in a competitive marathon race. Sweat rate (SR) and mean skin temperature (Ts) were linearly related to Tdb. Acclimatization did not alter VO2max or metabolic rate during the treadmill runs, but heart rat (HR),rectal temperature (Tre), and Ts were lower, SR was higher, and maximal run duration longer in the hot environment, postacclimatization. Maximum runs in the hot environment were terminated by a spiralling increase in Tre to hyperthermic levels, due largely to a marked reduction in cutaneous blood flow, probably reflecting cardiovascular overload from the combined muscular and thermoregulatory blood flow demands, coupled with the effects of progressive dehydration. Utilizing partitional calorimetry and the subject's metabolic heat production, two examples of limiting environmental conditions for his marathon running speed were given.     

Selected contribution: Carotid body as a model for aging studies: is there a link between oxygen and aging?

The carotid body (CB) is the site in the body that triggers awareness of changes in blood oxygen pressure. Aging is characterized by a decrease in oxygen supply to tissues, in reduction of tissue Po2, and in the activity of several enzymes and metabolic factors. The ventilatory response to hypoxia is attenuated with aging related to the age-dependent structure modifications including the basal reduction of oxygen requirements. The aged CB shows an increase in extracellular matrix, a reduction in number and volume of type I cells, and a reduction in volume of mitochondria that was consistent with and similar to that during chronic hypoxia; this phenomenon seems to operate also during aging as shown by the reduced volume of mitochondria in the aged CB. During chronic hypoxia, CB hypertrophy is less evident in aged CB than in young CB. Therefore, hypoxia and aging seem to share some type of link at different cell sites. CB represents an experimental model adequate for studying aging processes because of its high blood flow and metabolism, and thus it serves as a means to understanding the oxygen modulation of the aging process.     

The impact of rising temperatures on the prevalence of coral diseases and its predictability: A global meta-analysis

Coral reefs are under threat from disease as climate change alters environmental conditions. Rising temperatures exacerbate coral disease, but this relationship is likely complex as other factors also influence coral disease prevalence. To better understand this relationship, we meta-analytically examined 108 studies for changes in global coral disease over time alongside temperature, expressed using average summer sea surface temperature (SST) and cumulative heat stress as weekly sea surface temperature anomalies (WSSTAs). We found that both rising average summer SST and WSSTA were associated with global increases in the mean and variability in coral disease prevalence. Global coral disease prevalence tripled, reaching 9.92% in the 25 years examined, and the effect of ‘year’ became more stable (i.e. prevalence has lower variance over time), contrasting the effects of the two temperature stressors. Regional patterns diverged over time and differed in response to average summer SST. Our model predicted that, under the same trajectory, 76.8% of corals would be diseased globally by 2100, even assuming moderate average summer SST and WSSTA. These results highlight the need for urgent action to mitigate coral disease. Mitigating the impact of rising ocean temperatures on coral disease is a complex challenge requiring global discussion and further study.     

Role of dopamine and arterial chemoreceptors in thermal tachypnea in conscious cats

In mammals submitted to a warm environment, intracerebral injection of dopamine (DA) produces no change or an increase in body temperature accompanied by an increase in metabolic heat production, but its effect on heat loss mechanisms such as vasodilation and tachypnea is not clear. Because the principal mechanism of heat loss in the conscious cat is thermal tachypnea, we studied the influence of DA on thermal tachypnea in response to heat stress (ambient temperature = 33-36 degrees C) in five conscious cats. We first studied the steady-state response to a DA agonist, apomorphine, which crosses the blood-brain barrier. Intravenous injection of apomorphine greatly reduced thermal tachypnea by decreasing respiratory frequency (from 94.9 to 52.5 breaths/min) and increasing tidal volume (from 13.2 to 20.4 ml). The subsequent injection of the DA antagonist haloperidol, which also crosses the blood-brain barrier, restored the initial tachypnea. To further investigate the mechanism involved in thermal tachypnea, we studied the influence of peripheral chemoreceptors by transiently stimulating or inhibiting carotid body (CB) activity during tachypneic breathing. CB stimulation by intravenous injection of NaCN or domperidone reduced thermal tachypnea mainly by decreasing the respiratory frequency, whereas CB inhibition by DA tended to increase frequency and thus tachypnea. It is concluded that 1) in a warm environment, central DA receptors are also greatly involved in heat loss mechanisms, 2) arterial chemoreceptor input appears to counteract this tachypneic breathing, and 3) thermal and hypoxic tachypnea may be controlled by the same mechanism in which a DA-like system has a key role.     

Chilling‐related cell damage of apple (Malus × domestica Borkh.) fruit cortical tissue impacts antioxidant,lipid and phenolic metabolism

‘Soggy breakdown’ (SB) is an internal flesh disorder of ‘Honeycrisp’ apple (Malus × domestica Borkh.) fruit that occurs during low temperature storage. The disorder is a chilling injury (CI) in which visible symptoms typically appear after several weeks of storage, but information about the underlying metabolism associated with its induction and development is lacking. The metabolic profile of flesh tissue from wholly healthy fruit and brown and healthy tissues from fruit with SB was characterized using gas chromatography‐mass spectrometry (GC‐MS) and liquid chromatograph‐mass spectrometry (LC‐MS). Partial least squares discriminant analysis (PLS‐DA) and correlation networks revealed correlation among ester volatile compounds by composition and differences in phytosterol, phenolic and putative triacylglycerides (TAGs) metabolism among the tissues. anova ‐simultaneous component analysis (ASCA) was used to test the significance of metabolic changes linked with tissue health status. ASCA‐significant components included antioxidant compounds, TAGs, and phytosterol conjugates. Relative to entirely healthy tissues, elevated metabolite levels in symptomatic tissue included γ‐amino butyric acid, glycerol, sitosteryl (6′‐O‐palmitoyl) β‐d ‐glucoside and sitosteryl (6′‐O‐stearate) β‐d ‐glucoside, and TAGs containing combinations of 16:0, 18:3, 18:2 and 18:1 fatty acids. Reduced metabolite levels in SB tissue included 5‐caffeoyl quinate, β‐carotene, catechin, epicatechin, α‐tocopherol, violaxanthin and sitosteryl β‐d glucoside. Pathway analysis indicated aspects of primary metabolism differed according to tissue condition, although differences in metabolites involved were more subtle than those of some secondary metabolites. The results implicate oxidative stress and membrane disruption processes in SB development and constitute a diagnostic metabolic profile for the disorder.     

Heat-stress-dependency and developmental modulation of gene expression: the potential of house-keeping genes as internal standards in mRNA expression profiling using real-time RT-PCR

The potential of different house-keeping genes for their use as internal standards of gene expression under changing environmental conditions and in different organs of plants was assessed. Using real-time PCR mRNA levels were precisely quantified for preselected actin and ribosomal protein genes in Arabidopsis thaliana (L.) Heinh. and Nicotiana tabacum L. grown at normal temperature and following heat stress. In tobacco leaves the mRNA levels of the constitutively expressed ribosomal protein gene Nt-L25 and the actin genes Nt-ACT9 and At-ACT66 were strongly reduced (to approximately 10%) during heat stress. Heat stress applied at the temperature optimum (37 degrees C) for elicitation of a heat stress response to Arabidopsis leaves resulted in a strong induction (several thousand-fold) of the mRNA heat shock protein genes, At-HSP17.6 and At-HSP18.2. Concomitantly, the mRNA levels of constitutively expressed actin 2 (At-ACT2) and ribosomal protein L23 (At-L23a) genes were reduced to approximately 50% of the levels in leaves incubated at room temperature. Conversely, under severe heat stress conditions (44 degrees C), the induction of At-HSP17.6 and At-HSP18.2 mRNAs was insignificant, the mRNA levels of At-ACT2 remained at approximately the same levels as in leaves incubated at room temperature, whereas the mRNA level of At-L23 declined. The mRNA levels of At-ACT2 and At-L23a examined in stem, flower and siliques of Arabidopsis plants grown under non-stress condition showed differential alterations; the mRNA level of ribosomal protein L23 correlates with the metabolic activity of tissues. The potential use of house-keeping gene expression as standards in expression profiling and the mechanisms modulating the mRNA levels are discussed.     

Temperature regulation of marine mammals

A mathematical model of heat loss from an aquatic animal to the surrounding water is presented. Heat is generated in metabolically active tissues and distributed by circulating blood and by conduction. The time dependent radial temperature profile of the animal is numerically solved from heat transfer equations by a computer. The model is applied to large whales, porpoises, and seals. For the whales, blood circulation to the dermal layer below appendage and body skin surfaces proved to be essential for sufficient heat dissipation. When decreasing the blood flow below a certain value (dependent on sea temperature and whale activity) the large whales would overheat. Blubber thickness was found to be of minor importance in whale thermoregulation, because the blubber coat can be bypassed by blood circulation. On the other hand, it is in general not possible for small porpoises and seals to stay warm in the coldest waters using normal mammalian resting metabolic rates, even if the peripheral circulation is shut off (or artery-vein heat exchangers used). Heat loss can be reduced if the outermost tissue layers are allowed to cool. This is achieved by minimizing convective radial heat flow via the circulation. (For large whales even minute radial blood flow raises the muscle temperatures to the core temperature level.) Seasonal acclimatization of harbour seals is explained by changes in their effective insulation thickness. Differences in whale activity induce changes in the temperature profile mainly within the first few centimeters from the skin surface. These superficial temperatures, if known, could be used to estimate whale metabolic rates. Since they drop close to the sea water temperature within minutes after whale death, the measurements should be done of live whales.