A mathematical model of the dynamic heat transfer from the respiratory tract of a chicken

A mathematical model of the dynamic (periodic) heat exchange from the respiratory tract of a chicken is postulated and solved analytically. The model expresses the periodic respiratory heat loss as a function of respiration rate, respiratory air velocity, ambient temperature and humidity ratio, and body (trachea) temperature. It is unique in that previous models have been formulated for steady state heat transfer. The processes of sensible and latent heat exchange are considered as uncoupled processes.     

Morphogenesis of the laminated, tripartite cytoarchitectural design of the blood-gas barrier of the avian lung: a systematic electron microscopic study on the domestic fowl, Gallus gallus variant domesticus

Formation of a thin blood-gas barrier in the respiratory (gas exchange) tissue of the lung of the domestic fowl, Gallus gallus variant domesticus commences on day 18 of embryogenesis. Developing from infundibulae, air capillaries radiate outwards into the surrounding mesenchymal (periparabronchial) tissue, progressively separating and interdigitating with the blood capillaries. Thinning of the blood-gas barrier occurs by growth and extension of the air capillaries and by extensive disintegration of mesenchymal cells that constitute transient septa that divide the lengthening and anastomosing air capillaries. After they contact, the epithelial and endothelial cells deposit intercellular matrix that cements them back-to-back. At hatching (day 21), with a thin blood-gas barrier and a large respiratory surface area, the lung is well prepared for gas exchange. In sites where air capillaries lie adjacent to each other, epithelial cells contact directly: intercellular matrix is lacking.     

Heat and water rate transfer processes in the human respiratory tract at various altitudes

The process of the respiratory air conditioning as a process of heat and mass exchange at the interface inspired air-airways surface was studied. Using a model of airways (Olson et al., 1970) where the segments of the respiratory tract are like cylinders with a fixed length and diameter, the corresponding heat transfer equations, in the paper are founded basic rate exchange parameters-convective heat transfer coefficient h(c)(W m(-2) degrees C(-1)) and evaporative heat transfer coefficient h(e)(W m(-2)hPa(-1)). The rate transfer parameters assumed as sources with known heat power are connected to airflow rate in different airways segments. Relationships expressing warming rate of inspired air due to convection, warming rate of inspired air due to evaporation, water diffused in the inspired air from the airways wall, i.e. a system of air conditioning parameters, was composed. The altitude dynamics of the relations is studied. Every rate conditioning parameter is an increasing function of altitude. The process of diffusion in the peripheral bronchial generations as a basic transfer process is analysed. The following phenomenon is in effect: the diffusion coefficient increases with altitude and causes a compensation of simultaneous decreasing of O(2)and CO(2)densities in atmospheric air. Due to this compensation, the diffusion in the peripheral generations with altitude is approximately constant. The elements of the human anatomy optimality as well as the established dynamics are discussed and assumed. The square form of the airways after the trachea expressed in terms of transfer supposes (in view of maximum contact surface), that a maximum heat and water exchange is achieved, i.e. high degree of air condition at fixed environmental parameters and respiration regime.     

Longitudinal distribution of canine respiratory heat and water exchanges

We assessed the longitudinal distribution of intra-airway heat and water exchanges and their effects on airway wall temperature by directly measuring respiratory fluctuations in airstream temperature and humidity, as well as airway wall temperature, at multiple sites along the airways of endotracheally intubated dogs. By comparing these axial thermal and water profiles, we have demonstrated that increasing minute ventilation of cold or warm dry air leads to 1) further penetration of unconditioned air into the lung, 2) a shift of the principal site of total respiratory heat loss from the trachea to the bronchi, and 3) alteration of the relative contributions of conductive and evaporative heat losses to local total (conductive plus evaporative) heat loss. These changes were not accurately reflected in global measurements of respiratory heat and water exchange made at the free end of the endotracheal tube. Raising the temperature of inspired dry air from frigid to near body temperature principally altered the mechanism of airway cooling but did not influence airway mucosal temperature substantially. When local heat loss was increased from both trachea and bronchi (by increasing minute ventilation), only the tracheal mucosal temperature fell appreciably (up to 4.0 degrees C), even though the rise in heat loss from the bronchi about doubled that in the trachea. Thus it appears that the bronchi are better able to resist changes in airway wall temperature than is the trachea. These data indicate that the sites, magnitudes, and mechanisms of respiratory heat loss vary appreciably with breathing pattern and inspired gas temperature and that these changes cannot be predicted from measurements made at the mouth. In addition, they demonstrate that local heat (and presumably, water) sources that replenish mucosal heat and water lost to the airstream are important in determining the degree of local airway cooling (and presumably, drying).     

Measurement of local mass transfer coefficients in a cast model of the human upper respiratory tract

Local mass transfer coefficients measured using the naphthalene sublimation technique in an acrylic cast model of the human upper respiratory tract are reported as the Sherwood numbers for the corresponding regions. A steady air flow rate of 12 L per min was used for all measurements. Values of the Sherwood number are seen to be highest in the nasal cavity and proximal nasopharynx while a minimum value occurs just downstream from the larynx. Local values of the Nusselt number obtained in the trachea and proximal nasal cavity assuming a complete heat and mass transfer analogy agree well with in-vivo physiological measurements. The mass transfer coefficients found can be incorporated into an analytical model of respiratory heat and water vapor transfer or into a model of pollutant gas uptake in the respiratory tract.     

Modeling of unstable heat-mass air exchange in the lungs

A mathematical model of the unsteady-state heat and mass exchange of expired air in the bronchial tree is suggested. The model includes heat and mass exchange between air and bronchial walls, and heat exchange between blood circulation and bronchial tree. A problem has been numerically solved as a unidimensional one in the quasi-steady-state formulation. It is shown that air conditioning occurs through the whole length of a respiratory tract. During inspiration bronchial walls are cooled, that in its turn induces a decrease of air temperature and water vapour content in time. That process depends on the intensity of lung blood circulation and character of air velocity changes during inspiration.     

Differences in the structure of the rete ophthalmicum among three breeds of domestic fowls,Gallus gallus f. domesticus (Aves)

Summary The morphology of the rete ophthalmicum, which functions as a brain cooling system, was studied in the desert-origin Bedouin fowl in comparison with two commercial breeds: the White Leghorn and the White Plymouth Rock.Cross-sections of the rete ophthalmicum revealed a significantly higher degree of arteriovenous contact in the Bedouin fowl than in the commercial breeds (P<0.01). Based on the allometric relationship between the heat exchange area in the rete and body weight, the Bedouin fowl has a significantly higher heat exchange area than non-Bedouin fowls of similar body weights (P<0.02).These findings suggest that the higher heat exchange area and the high degree of arteriovenous contact in the rete ophthalmicum of the Bedouin fowl is an adaptation to desert conditions, and contributes functionally to the apparently superior heat resistance in this desert breed.     

Numerical investigation of the three-dimensional flow in a human lung model

The flow field at inspiration and expiration in the upper human airways consisting of the trachea down to the sixth generation of the bronchial tree is numerically simulated. The three-dimensional steady flow at a hydraulic diameter-based Reynolds number Re(D)=1250 is computed via a lattice-Boltzmann method (LBM). The simulation is validated by the experimental data based on particle-image velocimetry (PIV) measurements. The good agreement between numerical and experimental results is evidenced by comparing velocity contours and distributions in a defined reference plane. The results show the LBM to be an accurate tool to numerically predict flow structures in the human lung. Using an automatic Cartesian grid generator, the overall process time from meshing to a steady-state solution is <12h. Moreover, the numerical simulation allows a closer analysis of the secondary flow structures than in the experimental investigation. The three-dimensional streamline patterns reveal some insight on the air exchange mechanism at inspiration and expiration. At inspiration, the slower near-wall tracheal flow enters through the right principal bronchus into the right upper lobar bronchus. The bulk mass flux in the trachea is nearly evenly distributed over the left upper, center and lower lobar bronchi and the right center and lower bronchi. At expiration, the air from the right upper lobar bronchus enters the right center of the trachea and displaces the airflow from the lower and center right bronchi such that the tracheal positions of the streamlines at inspiration and expiration are switched. The flow in the left bronchi does not show this kind of switching. The findings emphasize the impact of the asymmetry of the lung geometry on the respiratory air exchange mechanism.     

Macro- and microscopic characteristics of the glands of the human trachea and main bronchi in postnatal ontogenesis

By means of the macro-microscopical method 68 preparations of the trachea and main bronchi, obtained from persons perished and died at the newborn age up to 90 years and having not any disease of the respiratory pathways by the time of death have been studied. The glands in the walls of these organs are adapted to the surrounding structures and have various topography in the cartilagenous and membranous parts of the trachea and main bronchi. The ductal openings in the membranous part demonstrate a regular longitudinal orientation. Despite the fact that during human life the sizes of the trachea and main bronchi increase, the amount of the glands during the postnatal ontogenesis remains nearly at the same or about the same level. With age, the density of the ductal opening arrangement per 1 cm2 of the mucosal membrane surface changes noticeably. Comparing with the newborn age, in the old age this parameter decreases nearly by 4 times.     

Simulation of a steady-state mass-heat exchange in the respiratory tract

On the basis of Weibel respiratory tract model the mathematical model of mass and heat transfer in the lungs was solved for steady-state one-dimensional case. Coefficients of mass and heat transfer were taken from empirical expressions for canals. The model shows that independent water vapour or air heat saturation in the lungs occurs in 12-14 generations of the bronchial tree. The saturation site depends upon volume velocity of the air and functioning of the upper respiratory tract.     

Exercise hyperpnea in birds: evidence against a primary role for pCO2

Ventilatory responses of domestic fowl to graded intensities of treadmill exercise were compared when the birds breathed air, 3% CO2 in air or 4.2% CO2 in air. During exercise in air, increased minute ventilation resulted mainly from increased respiratory rate with little change in tidal volume. This pattern of ventilatory response was not altered when the birds respired CO2. In contrast, the pattern of ventilatory response to CO2, at given work loads, consisted of a primary increase in tidal volume with little change in respiratory rate. It is concluded that intrapulmonary pCO2 does not affect the ventilatory response to exercise.     

Use of a heat transfer analogy for a mathematical model of respiratory tract deposition

Mathematical models predicting the aerosol deposition in the respiratory tract are reviewed. Data in the literature indicated not only that the air flow in the trachea and major bronchi may not be laminar, but also that the entrance effect of the tube or airway has not been considered. A new approach to a mathematical model of respiratory tract deposition, based on the analogy of the heat and mass transfer, is discussed.     

The fine structure of the pancreatic nerves of the domestic fowl

Summary The fine structure of the pancreatic nerves of the domestic fowl has been studied. Naked axon beadings were found in membranous contact with endocrine as well as exocrine cells. From an anatomical point of view it seems reasonable to suggest that the endocrine glands might be subjected to some influence of the autonomic nervous system.     

Mucopolysaccharides in bronchial secretion of children.

The diseases of respiratory system are nowadays one of the important medical, economical and social problems of modern civilization. A common symptom of these diseases regardless of their etiology, character, klinical manifestation and morphological findings is hypersecretion of bronchial sputum. Tracheobronchial mucus is produced by mucous bronchial glands and goblet cells. This mucus represents at physiological condition about 5 micrometer thick cover on mucous of nasopharynx, larynx, trachea, bronchi up to terminal bronchioles. Protective function of mucus cover resposes in mechanical and humoral barrier and also in removing the inhaled particles and their transport to the upper part of the respiratory system. In spite of the fact, that bronchial secretion has an important role in protective mechanism and in thermal and water exchange of respiratory tract, this secretion is not sufficiently scrutinized mainly of children yet.     

江豚气管和肺的解剖学与组织学研究

鲸类气管和肺的解剖学研究,早在17世纪末就开始进行。近年来,我国的珍稀动物白鱀豚(Lipotes vexillifer)已分别由陈宜瑜等(1975)进行了形态解剖,刘仁俊等(1980)进行了呼吸系统的解剖和组织学研究。有关江豚(Neophocaena asiaeorientalis)的呼吸系统仅秉志(1926)作过极简短的大体结构描述,有关其组织学的观察,目前尚无报道。本文对江豚气管、肺的解剖和组织学进行了详细的观察。     

The Biological Mechanisms of Air Ion Action : II. Negative air ion effects on the concentration and metabolism of 5-hydroxytryptamine in the mammalian respiratory tract

Negative air ions are shown to decrease 5-hydroxytryptamine concentrations in extirpated strips of rabbit trachea and in the respiratory tracts of living mice. An initial exposure of guinea pigs to (-) air ions causes a transient rise in urinary 5-hydroxyindoleacetic acid excretion which is not observed upon subsequent exposures. These findings are compatible with the hypothesis advanced earlier that (-) air ion effects depend on the ability of (-) ions to accelerate enzymatic oxidation of 5-hydroxytryptamine.     

Analysis of the distribution of materials within the blood-brain-cerebrospinal fluid system

When material is introduced into the blood-brain-cerebrospinal fluid system, it will distribute throughout the system in a manner dependent upon the geometrical characteristics and the physical and chemical parameters of the system. Since only average values of the concentration of the material are known in each of the parts of the system, and approximation approach is used in analyzing this distribution theoretically. A simplified model is chosen for the system and equations are derived. These equations are then applied to the results of four papers in the literature dealing with the distribution of thiocyanate. A fifth paper dealing with the sulfate extracellular space of brain is also analyzed.     

Model simulation of heat and water transport dynamics in an airway

Heat and water transport processes in the respiratory tract depend on environmental conditions, breathing patterns, and the physiological state of the respiratory system. To study these processes, we have developed a mathematical model of the dynamics of temperature and water vapor in the radial and axial directions of an idealized trachea. The model is expressed as two implicit finite-difference equations and solved using an alternating-direction algorithm. Using these equations, we simulated the effects of inspired gas temperature and humidity, velocity profile, and flow rate on heat and water transport between the gas and airway wall. Under inspired gas conditions of low temperature or high relative humidity, supersaturation occurs. Increasing either the velocity gradient at the wall or the flow rate increases the heat and water transport rates. However, these rates change by only 10 percent when the velocity gradient is doubled, and by about 35 percent when flow rate undergoes a two-fold change. The model can be used with in-vivo data from the trachea to test hypotheses concerning normal and abnormal heat and water transport.