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At least 163 records · Page 9Linked to original sources

Effect of alveolar volume and sequential filling on the diffusing capacity of the lungs: I. theory.

The diffusing capacity, DL, is a critical physiological parameter of the lung used to assess gas exchange clinically. Most models developed to analyze experimental data from a single breath maneuver have assumed a well-mixed or uniform alveolar region, including the clinically accepted Jones-Meade method. In addition, all previous models have assumed a constant DL, which is independent of alveolar volume, VA. In contrast, experimental data provide evidence for a non-uniform alveolar region coupled with sequential filling of the lung. In addition, although the DL for carbon monoxide is a weak function of VA, the DL of nitric oxide depends strongly on VA. We have developed a new mathematical model of the single breath maneuver that considers both a variable degree of sequential filling and a variable DL. Our model predicts that the Jones-Meade method overestimates DL when the exhaled gas sample is collected late in the exhalation, but underestimates DL if the exhaled gas sample is collected early in the exhalation phase due to the effect of sequential filling. Utilizing a prolonged constant exhalation method, or a three-equation method, will also produce erroneous predictions of DL. We conclude that current methods may introduce significant error in the estimation of DL by ignoring the sequential filling of the lung, and the dependence of DL on VA.

Humans↗

On T2-shortening by weakly magnetized particles: the chemical exchange model.

Chemical exchange (CE) theory is compared with two theories of T2-shortening caused by microscopic magnetic centers: inner- and outer-sphere relaxation theory (long-echo limit) and mean gradient diffusion theory (short-echo limit). The CE equation is shown to be identical to these theories in the respective limits and appropriate parameter relationships are derived for spherical particles. The theories are then compared with computer simulations of spherical particles and with a recent general theory, with good agreement in the asymptotic regions. The CE model also reproduces the essential relaxation characteristics in the intermediate range. Finally, good agreement of a CE model with simulations for magnetized cylinders is also demonstrated. The discussion is limited to weakly magnetized particles such that the maximum phase shift during an echo interval is less than one radian, permitting the use of the Luz-Meiboom CE equation. Published 2001 Wiley-Liss, Inc.

Computer Simulation↗

Determining 222Rn diffusion lengths in soils and sediments.

Radon-222 diffusion length has been measured for 28 Danish soils and sediments. Samples were placed in a diffusion column connected to a 222Rn reservoir and the transport of 222Rn through the column was measured. The diffusion length was found by comparing the measured data to time-dependent diffusion theory. Dry silt, sand and gravel materials showed diffusion lengths from 160 cm to 190 cm. For wet clay materials, diffusion lengths of about 1 cm were found.

Denmark↗

Permeability, phase-boundary potential and conductance in a cholinergic channel without constant field.

A potassium-selective, chemically excitable channel, whose characteristics cannot be accurately described by constant-field theory, is studied by a new approach based on diffusion theory but with no need for the classical assumptions of constant field, homogeneous membrane, and equal phase-boundary potentials at both interfaces. Permeability is defined, free of these constraints, and the Goldman coefficient is demonstrated to be a special case useful only when the constraints apply. Permeability can be evaluated directly from current-voltage data, and it is found not to be a parameter in this channel, but rather a function of both the voltage and the concentration of the permeant ion. However, it becomes concentration-independent when the membrane voltage is equal to the sum of the phase-boundary potentials. That sum can therefore be determined from these data, and it is -65 mV in this channel. The permeability at that potential is a channel parameter, and equal to 8.66 X 10(-6) cm/s for this channel. A constant field is shown not to exist in this channel and the Goldman coefficient not to be a parameter but a function of potential and concentration. Although errors introduced into this coefficient by nonconstant field and unequal surface potentials partially cancel each other, the coefficient is nevertheless not a correct measure of permeability.

Animals↗

Permeability and phase-boundary potentials determined from conductance in a transmitter-activated potassium channel in Aplysia californica in the absence of a constant field.

A potassium-selective, chemically excitable channel, whose characteristics cannot be accurately described by "constant field" theory, is studied using a new approach based on diffusion theory but having no need for the classical assumptions of constant field, homogeneous membrane, and equal phase-boundary potentials at both interfaces. Permeability is defined, free of these constraints, and the Goldman coefficient is demonstrated to be a special case useful only when the constraints apply. Permeability can be evaluated directly from chord conductance, and it is found not to be a parameter in this channel, but rather a function of both the voltage and the concentration of the permeant ion. However, it becomes concentration-independent when the membrane voltage is equal to the sum of the phase-boundary potentials. That sum can therefore be determined from these data, and it is -65 mV in this channel. The permeability at that potential is a channel parameter, and equal to 8.77 (10)-6 cm/sec for this channel. A constant field is shown not to exist in this channel, and the Goldman coefficient not to be a parameter but a function of potential and concentration. Although errors introduced into this coefficient by nonconstant field and unequal surface potentials partially cancel each other, the coefficient is nevertheless not a correct measure of permeability.

Animals↗

Advances in the study of diffusion of innovation in health care organizations.

Federal government programs of the 1960s to rapidly diffuse technologies have been displaced on the '70s by efforts to constrain costly technological growth. As a guide to action, the understanding of reasons for adoption of innovation is essential; but the utility of available diffusion theory is limited by its focus on the speed of diffusion rather than any reasons for its adoption by organizations. In a practical sense, more is known about the administrator as decision maker than about those increasing situatiions in which physicians play a more central part. Until coherent, empirically grounded theories of organizational innovation are available, large-scale "tests" are premature and wasteful.

Creativity↗

Electron dose calculation using multiple-scattering theory. A. Gaussian multiple-scattering theory.

This article is the first in a series on the calculation of electron dose using multiple-scattering theory. In it we develop a unified theory, which we term Gaussian multiple-scattering theory, starting from a number of contributions already in the literature: the Fermi-Eyges multiple-scattering theory, the Yang path length distribution, the second-order multiple-scattering theory of Jette [Med. Phys. 12, 178 (1985)], and the diffusion theory of Bethe et al. [Proc. Am. Philos. Soc. 78, 573 (1938)]. After examining in detail the ramifications and limitations of Gaussian multiple-scattering theory, we derive basic formulas generalizing the Fermi-Eyges theory, for use in subsequent articles. We also find explicit, accurate expressions for incorporating the scattering power into the theory.

Fourier Analysis↗

Optical and thermal characterization of natural (Sepia officinalis) melanin.

The optical properties and the thermal diffusivity of natural cuttlefish (Sepia officinalis) melanin have been measured. The optical absorption and scattering properties of melanin particles were determined at 580 nm and 633 nm, using photometric and photothermal techniques. For the photometric studies, the absorption and the transport scattering coefficients were determined from the measurements of diffuse reflectance and transmittance. The scattering anisotropy was obtained from an additional measurement of the total attenuation coefficient and independently obtained by goniometry. For photothermal studies, pulsed photothermal radiometry was used to deduce the absorption and transport scattering coefficients via a model based on optical diffusion theory. Pulsed photothermal radiometry was also used to provide the thermal diffusivity of solid melanin pressed pellets.

Animals↗

Effect of modifying O2 diffusivity and delivery on glomerular and tubular function in hypoxic perfused kidney.

Is O2 diffusivity within renal capillaries rate limiting for O2 delivery to hypoxic renal tubules? Equations based on diffusion theory and developed here predict that soluble hemoglobin (Hb) increases O2 diffusivity by a factor of 1 + [442 Hb%/(P50 + PO2)], where P50 is the partial pressure of O2 at which the Hb is half saturated. To examine the effect of P50 and Hb concentrations on renal function, we perfused isolated rat kidneys with Hb-P35 (P50 = 35 mmHg) and Hb-P11 (P50 = 11 mmHg). Venous PO2 was lower with Hb-P11 (10 +/- 1 vs 16 +/- 1 mmHg with arterial PO2 = 35 mmHg and 28 +/- 2 vs. 40 +/- 2 mmHg with arterial PO2 = 140 mmHg; P < 0.001). Perfusate P50 did not influence vascular resistance, glomerular filtration rate, O2 consumption, Na reabsorption, protein excretion, or free water clearance. Percent glucose and phosphate excretion were lower with Hb-P11 than with Hb-P35 (P < 0.001). Urine glucose was 0.17 mmol/l with Hb-P11 and 0.77 mmol/l with Hb-P35 (P < 0.001). Hb-P35 (2%) doubled O2 delivery and lowered glucose and phosphate excretion to the level obtained with 1% Hb-P11. Thus Hb-P11 delivered O2 twice as effectively as Hb-P35 to high-affinity sodium glucose and phosphate cotransporters in the late proximal tubule (S3 segment). Hb-P11 may also have shunted O2 from the outer cortex to the outer medulla and facilitated O2 diffusion where PO2 was low. We conclude that diffusivity is a limiting factor in delivery of O2 to hypoxic tubules.

Animals↗

Osmotic flow in membrane pores of molecular size.

Water transfer by osmosis through pores occurs either by viscous flow or diffusion depending on whether the driving osmolyte is able to enter the pore. Analysis of osmotic permeabilities (Pos) measured in antibiotic and cellular pore systems supports this distinction, showing that Pos approaches either the viscous value (Pf) or the diffusive value (Pd) depending on the size of the osmolyte in relation to the pore radius. Macroscopic hydrodynamics and diffusion theory, when used with drag and steric coefficients within an appropriate osmotic model, apply with remarkable accuracy to channels of molecular dimensions where water molecules cannot pass each other, without the need to postulate any special flow regimens. It becomes apparent that the true viscous to diffusive flow ratio, Pf/Pd, can be separated from the effects of tracer filing by osmotic measurements alone. It does not monotonically decrease with the pore radius but rises steeply at the smaller radii which would apply to pores in cell membranes. Consequently, the application of the theory to osmotic and diffusive flow data for the red cell predicts a pore radius of 0.2 nm in agreement with other recent measurements on isolated components of the system, showing that the viscous-diffusive distinction applies even in molecular pores.

Anti-Bacterial Agents↗

How large is the drop in PO2 between cytosol and mitochondrion?

The subject of this brief review is the size of the local drops in PO2 around consuming mitochondria. We show that large drops (several Torr or more) are in conflict with the predictions of basic diffusion theory, when one uses accepted values for relevant parameters. In particular, oxygen diffusion coefficients must be reduced by at least a factor of 10 below measured values to reconcile Fick's law with large PO2 drops. Experimental evidence offered for large drops is often ambiguous because of system heterogeneities. In those cases where tractable models of heterogeneous systems can be developed, the experimental data are consistent with drops in PO2 on the order of a few hundredths of a Torr between cytosol and mitochondrion.

Cytosol↗

Assessing or predicting adoption of telehealth using the diffusion of innovations theory: a practical example from a rural program in New Mexico.

In New Mexico, a large rural state, it was anticipated that telehealth would bring significant value to health care delivery, improve local capacity for patient care, decrease the need for patient travel, diminish professional isolation, provide an avenue for enhanced professional education and information sharing, increase access to care, and ultimately improve health status. During the course of an evaluation of the University of New Mexico Center for Telehealth's rural telemedicine program, we used a grounded theory approach to assess barriers to the adoption of telemedicine and components of successful adoption. We then turned to the diffusion of innovations theory to better understand the dynamic interactions between the characteristics of telehealth and the social system in which it is applied. In doing so, we learned that the type of innovation decision involved in the adoption of telehealth appears to be particularly important in determining adoption. In this article we demonstrate that diffusion theory can be a useful framework for evaluating telehealth programs. We also suggest that the development of a predictive tool for prospective assessment would be useful, and could be applied when new telehealth programs are being planned.

Delivery of Health Care↗

Diffusion-based learning theory for organizing visuo-motor coordination.

A diffusion-based learning theory is presented and applied to organize the visuomotor coordination of an eye-hand system which has redundant motion degree of freedom (dof). This theory considers the spatial optimality of the coordination: to minimize the end-effector position error of the eye-hand system as well as the differentiation of the joint angles with respect to the end-effector positions over all the bounded work space. By introducing variational methods with respect to the space, we derive a partial differential equation (PDE) of the joint angles with respect to the work space. The equation includes a diffusion term. For the given boundary conditions and the initial conditions, it can be solved uniquely, and the solution is a well organized map. From the motor learning point of view, our approach contains both the aspects of supervised learning as well as self-organization. Firstly, we assume that the forward relation from the hand system's joint angles to its end-effector positions can be obtained using supervised learning, and at the boundary of the work space, the supervisor can provide correct joint information. Then, by evolving the diffusion equation, we organize the visuomotor coordination. We show the effectiveness of this approach using a 3-dof scale manipulator. The problems of how to realize the visuomotor map; how to utilize the resultant map in several motions; and what are the influences of the initial conditions on the map formation and the relation to the boundary conditions are also discussed using computer simulations. Our approach has three advantages: (1) it does not require too many trial motions for the eye-hand system; (2) during the map formation process, it requires only the local interactions between each node; and (3) it guarantees the final map's spatial optimality over all the bounded work space.

Computer Simulation↗

Perturbation theory for the diffusion equation by use of the moments of the generalized temporal point-spread function. I. Theory.

We approach the perturbative solution to the diffusion equation for the case of absorbing inclusions embedded in a heterogeneous scattering medium by using general properties of the radiative transfer equation and the solution of the Fredholm equation of the second kind given by the Neumann series. The terms of the Neumann series are used to obtain the expression of the moments of the generalized temporal point-spread function derived in transport theory. The moments are calculated independently by using Monte Carlo simulations for validation of the theory. While the mixed moments are correctly derived from the theory by using the solution of the diffusion equation in the geometry of interest, in order to obtain the self moments we should reframe the problem in transport theory and use a suitable solution of the radiative transfer equation for the calculation of the multiple integrals of the corresponding Neumann series. Since the rigorous theory leads to impractical formulas, in order to simplify and speed up the calculation of the self moments, we propose a heuristic method based on the calculation of only a single integral and some scaling parameters. We also propose simple quadrature rules for the calculation of the mixed moments for speeding up the computation of perturbations due to multiple defects. The theory can be developed in the continuous-wave domain, the time domain, and the frequency domain. In a companion paper [J. Opt. Soc. Am. A23, 2119 (2006)] we discuss the conditions of applicability of the theory in practical cases found in diffuse optical imaging of biological tissues.

Algorithms↗

Interference of diffusive light waves.

We examine interference effects resulting from the superposition of photon-density waves produced by coherently modulated light incident upon a turbid medium. Photon-diffusion theory is used to derive expressions for the ac magnitude and phase of the aggregate diffusive wave produced in full- and half-space volumes by two sources. Using a frequency-domain spectrometer operating at 410 MHz, we verify interference patterns predicted by the model in scattering samples having optical properties similar to those of skin tissue. Potential imaging applications of interfering diffusive waves are discussed in the context of the theoretical and experimental results.

Humans↗

Dosimetry model for photodynamic therapy with topically administered photosensitizers.

BACKGROUND AND OBJECTIVE: Photodynamic therapy (PDT) based on topical application of photosensitizers has been under development over the last years. Typical applications are treatment of basal cell carcinoma of the skin and photoablation of the endometrium. The dosimetry for topically administered photosensitizers must take a time-dependent inhomogenous drug distribution into account together with the conventional parameters such as optical scattering, absorption, and photobleaching. STUDY DESIGN/MATERIALS AND METHODS: This study presents a dosimetry model where the cytotoxic dose is calculated in a stepwise procedure. The first step calculates the time-dependent distribution of 5-aminolevulinic acid (5-ALA) from diffusion theory. In skin this distribution is dependent on drug permeability through the stratum corneum, on the diffusivity of dermis and epidermis, on the drug clearance time, and on the conversion rate from 5-ALA to protoporphyrin IX (PpIX). In the second step the distribution of PpIX is calculated from the 5-ALA distribution found in the first step taking the dynamics of the biosynthesis of 5-ALA to PpIX and the clearance time of PpIX into account. In the third step the generation of cytotoxic singlet oxygen is calculated from the optical distribution during irradiation, taking a photobleaching mechanism into account. RESULTS: The distribution of cytotoxic oxygen is predicted from the optical dose, the drug dose, and the time between the application of the drug and the irradiation. CONCLUSION: The presented dosimetry model is made as simple as possible, yet composite enough to enable all relevant parameters to be taken into account. The model that is based on a linear theory in a semi-infinite medium can, if required, be extended to take nonuniform and nonlinear phenomena into account.

Administration, Topical↗

Water uptake and release from iodine-containing bone cement.

Water uptake and release characteristics of PMMA cement containing the water-soluble contrast media iohexol or iodixanol have been investigated. The water uptake study revealed that iohexol had the highest uptake of water (3.7%) and that iodixanol had an uptake close to that of Palacos R (2.3% and 1.9%). The curves obtained showed the materials to follow classic diffusion theory, with an initial linearity with respect to t(1/2) making it possible to calculate the diffusion coefficients. This showed iohexol to have the lowest diffusion coefficient, Palacos R the highest, and iodixanol close to that of Palacos R. The release study showed that more iohexol than iodixanol was released from the bone cement; the long-term release was above 25 microg/mL for iohexol compared to slightly above 10 microg/mL for iodixanol. A microCT investigation showed that the risk of developing an observable radiolucent zone is negligible.

Absorption↗

Optical characterization of thin female breast biopsies based on the reduced scattering coefficient.

One of the main goals in optical characterization of biopsies is to discern between tissue types. Usually, the theory used for deriving the optical properties of such highly scattering media is based on the diffusion approximation. However, biopsies are usually small in size compared to the transport mean free path and thus cannot be treated with standard diffusion theory. To account for this, an improved theory was developed, by the authors, that can correctly describe light propagation in small geometries (Garofalakis et al 2004 J. Opt. A: Pure Appl. Opt. 6 725-35). The theory's limit was validated by both Monte Carlo simulations and experiments performed on tissue-like phantoms, and was found to be two transport mean free paths. With the aid of this theory, we have characterized 59 samples of breast tissue including cancerous samples by retrieving their reduced scattering coefficients from time-resolved transmission data. The mean values for the reduced scattering coefficients of the normal and the tumour tissue were measured to be 9.7 +/- 2.2 cm(-1) and 10.8 +/- 1.8 cm(-1), respectively. The correlation with age was also investigated.

Adipose Tissue↗