Quantifying citrate-enhanced phosphate root uptake using microdialysis.

AIMS: Organic acid exudation by plant roots is thought to promote phosphate (P) solubilisation and bioavailability in soils with poorly available nutrients. Here we describe a new combined experimental (microdialysis) and modelling approach to quantify citrate-enhanced P desorption and its importance for root P uptake. METHODS: To mimic the rhizosphere, microdialysis probes were placed in soil and perfused with citrate solutions (0.1, 1.0 and 10 mM) and the amount of P recovered from soil used to quantify rhizosphere P availability. Parameters in a mathematical model describing probe P uptake, citrate exudation, P movement and citrate-enhanced desorption were fit to the experimental data. These parameters were used in a model of a root which exuded citrate and absorbed P. The importance of soil citrate-P mobilisation for root P uptake was then quantified using this model. RESULTS: A plant needs to exude citrate at a rate of 0.73 µmol cm-1 of root h-1 to see a significant increase in P absorption. Microdialysis probes with citrate in the perfusate were shown to absorb similar quantities of P to an exuding root. CONCLUSION: A single root exuding citrate at a typical rate (4.3 × 10-5 µmol m-1 of root h-1) did not contribute significantly to P uptake. Microdialysis probes show promise for measuring rhizosphere processes when calibration experiments and mathematical modelling are used to decouple microdialysis and rhizosphere mechanisms.

The effect of root exudates on rhizosphere water dynamics.

Most water and nutrients essential for plant growth travel across a thin zone of soil at the interface between roots and soil, termed the rhizosphere. Chemicals exuded by plant roots can alter the fluid properties, such as viscosity, of the water phase, potentially with impacts on plant productivity and stress tolerance. In this paper, we study the effects of plant exudates on the macroscale properties of water movement in soil. Our starting point is a microscale description of two fluid flow and exudate diffusion in a periodic geometry composed from a regular repetition of a unit cell. Using multiscale homogenization theory, we derive a coupled set of equations that describe the movement of air and water, and the diffusion of plant exudates on the macroscale. These equations are parametrized by a set of cell problems that capture the flow behaviour. The mathematical steps are validated by comparing the resulting homogenized equations to the original pore scale equations, and we show that the difference between the two models is ≲7% for eight cells. The resulting equations provide a computationally efficient method to study plant-soil interactions. This will increase our ability to predict how contrasting root exudation patterns may influence crop uptake of water and nutrients.

Determination of macro-scale soil properties from pore scale structures: image-based modelling of poroelastic structures.

We show how a combination of X-ray computed tomography (X-CT) and image-based modelling can be used to calculate the effect of moisture content and compaction on the macroscopic structural properties of soil. Our method is based on the equations derived in Daly & Roose (2018 Proc. R. Soc. A474, 20170141. (doi:10.1098/rspa.2017.0141)), which we have extended so they can be directly applied to the segmented images obtained from X-CT. We assume that the soils are composed of air-filled pore space, solid mineral grains and a mixed phase composed of both clay particles and water. We considered three different initial soil treatments, composed of two different compaction levels and two different moisture contents. We found that the effective properties of the soils were unaffected by compaction over the range tested in this paper. However, changing the moisture content significantly altered the hydraulic and mechanical properties of the soils. A key strength of this method is that it enables the optimization or even design of soils composed from different constituents, with specific mechanical and hydraulic properties.

Determination of macro-scale soil properties from pore-scale structures: model derivation.

In this paper, we use homogenization to derive a set of macro-scale poro-elastic equations for soils composed of rigid solid particles, air-filled pore space and a poro-elastic mixed phase. We consider the derivation in the limit of large deformation and show that by solving representative problems on the micro-scale we can parametrize the macro-scale equations. To validate the homogenization procedure, we compare the predictions of the homogenized equations with those of the full equations for a range of different geometries and material properties. We show that the results differ by [Formula: see text] for all cases considered. The success of the homogenization scheme means that it can be used to determine the macro-scale poro-elastic properties of soils from the underlying structure. Hence, it will prove a valuable tool in both characterization and optimization.

Fluid flow in porous media using image-based modelling to parametrize Richards' equation.

The parameters in Richards' equation are usually calculated from experimentally measured values of the soil-water characteristic curve and saturated hydraulic conductivity. The complex pore structures that often occur in porous media complicate such parametrization due to hysteresis between wetting and drying and the effects of tortuosity. Rather than estimate the parameters in Richards' equation from these indirect measurements, image-based modelling is used to investigate the relationship between the pore structure and the parameters. A three-dimensional, X-ray computed tomography image stack of a soil sample with voxel resolution of 6 µm has been used to create a computational mesh. The Cahn-Hilliard-Stokes equations for two-fluid flow, in this case water and air, were applied to this mesh and solved using the finite-element method in COMSOL Multiphysics. The upscaled parameters in Richards' equation are then obtained via homogenization. The effect on the soil-water retention curve due to three different contact angles, 0°, 20° and 60°, was also investigated. The results show that the pore structure affects the properties of the flow on the large scale, and different contact angles can change the parameters for Richards' equation.

Investigation of microvascular morphological measures for skeletal muscle tissue oxygenation by image-based modelling in three dimensions.

The supply of oxygen in sufficient quantity is vital for the correct functioning of all organs in the human body, especially for skeletal muscle during exercise. Traditionally, microvascular oxygen supply capability is assessed by the analysis of morphological measures on transverse cross-sections of muscle, e.g. capillary density or capillary-to-fibre ratio. In this work, we investigate the relationship between microvascular structure and muscle tissue oxygenation in mice. Phase contrast imaging was performed using synchrotron radiation computed tomography (SR CT) to visualize red blood cells (RBCs) within the microvasculature in mouse soleus muscle. Image-based mathematical modelling of the oxygen diffusion from the RBCs into the muscle tissue was subsequently performed, as well as a morphometric analysis of the microvasculature. The mean tissue oxygenation was then compared with the morphological measures of the microvasculature. RBC volume fraction and spacing (mean distance of any point in tissue to the closest RBC) emerged as the best predictors for muscle tissue oxygenation, followed by length density (summed RBC length over muscle volume). The two-dimensional measures of capillary density and capillary-to-fibre ratio ranked last. We, therefore, conclude that, in order to assess the states of health of muscle tissue, it is advisable to rely on three-dimensional morphological measures rather than on the traditional two-dimensional measures.

Homogenization of two fluid flow in porous media.

The macroscopic behaviour of air and water in porous media is often approximated using Richards' equation for the fluid saturation and pressure. This equation is parametrized by the hydraulic conductivity and water release curve. In this paper, we use homogenization to derive a general model for saturation and pressure in porous media based on an underlying periodic porous structure. Under an appropriate set of assumptions, i.e. constant gas pressure, this model is shown to reduce to the simpler form of Richards' equation. The starting point for this derivation is the Cahn-Hilliard phase field equation coupled with Stokes equations for fluid flow. This approach allows us, for the first time, to rigorously derive the water release curve and hydraulic conductivities through a series of cell problems. The method captures the hysteresis in the water release curve and ties the macroscopic properties of the porous media with the underlying geometrical and material properties.

Mathematical modelling of the Phloem: the importance of diffusion on sugar transport at osmotic equilibrium.

Plants rely on the conducting vessels of the phloem to transport the products of photosynthesis from the leaves to the roots, or to any other organs, for growth, metabolism, and storage. Transport within the phloem is due to an osmotically-generated pressure gradient and is hence inherently nonlinear. Since convection dominates over diffusion in the main bulk flow, the effects of diffusive transport have generally been neglected by previous authors. However, diffusion is important due to boundary layers that form at the ends of the phloem, and at the leaf-stem and stem-root boundaries. We present a mathematical model of transport which includes the effects of diffusion. We solve the system analytically in the limit of high Münch number which corresponds to osmotic equilibrium and numerically for all parameter values. We find that the bulk solution is dependent on the diffusion-dominated boundary layers. Hence, even for large Péclet number, it is not always correct to neglect diffusion. We consider the cases of passive and active sugar loading and unloading. We show that for active unloading, the solutions diverge with increasing Péclet. For passive unloading, the convergence of the solutions is dependent on the magnitude of loading. Diffusion also permits the modelling of an axial efflux of sugar in the root zone which may be important for the growing root tip and for promoting symbiotic biological interactions in the soil. Therefore, diffusion is an essential mechanism for transport in the phloem and must be included to accurately predict flow.

A mathematical model of water and nutrient transport in xylem vessels of a wheat plant.

At a time of increasing global demand for food, dwindling land and resources, and escalating pressures from climate change, the farming industry is undergoing financial strain, with a need to improve efficiency and crop yields. In order to improve efficiencies in farming, and in fertiliser usage in particular, understanding must be gained of the fertiliser-to-crop-yield pathway. We model one aspect of this pathway; the transport of nutrients within the vascular tissues of a crop plant from roots to leaves. We present a mathematical model of the transport of nutrients within the xylem vessels in response to the evapotranspiration of water. We determine seven different classes of flow, including positive unidirectional flow, which is optimal for nutrient transport from the roots to the leaves; and root multidirectional flow, which is similar to the hydraulic lift process observed in plants. We also investigate the effect of diffusion on nutrient transport and find that diffusion can be significant at the vessel termini especially if there is an axial efflux of nutrient, and at night when transpiration is minimal. Models such as these can then be coupled to whole-plant models to be used for optimisation of nutrient delivery scenarios.

Multiscale modelling of hydraulic conductivity in vuggy porous media.

Flow in both saturated and non-saturated vuggy porous media, i.e. soil, is inherently multiscale. The complex microporous structure of the soil aggregates and the wider vugs provides a multitude of flow pathways and has received significant attention from the X-ray computed tomography (CT) community with a constant drive to image at higher resolution. Using multiscale homogenization, we derive averaged equations to study the effects of the microscale structure on the macroscopic flow. The averaged model captures the underlying geometry through a series of cell problems and is verified through direct comparison to numerical simulations of the full structure. These methods offer significant reductions in computation time and allow us to perform three-dimensional calculations with complex geometries on a desktop PC. The results show that the surface roughness of the aggregate has a significantly greater effect on the flow than the microstructure within the aggregate. Hence, this is the region in which the resolution of X-ray CT for image-based modelling has the greatest impact.

Multiscale models of colloidal dispersion of particles in nematic liquid crystals.

We use homogenization theory to develop a multiscale model of colloidal dispersion of particles in nematic liquid crystals under weak-anchoring conditions. We validate the model by comparing it with simulations by using the Landau-de Gennes free energy and show that the agreement is excellent. We then use the multiscale model to study the effect that particle anisotropy has on the liquid crystal: spherically symmetric particles always reduce the effective elastic constant. Asymmetric particles introduce an effective alignment field that can increase the Fredericks threshold and decrease the switch-off time.

Human immunodeficiency virus-infected patients with prior Pneumocystis pneumonia exhibit increased serologic reactivity to several major surface glycoprotein clones.

Recombinant clones of the carboxyl terminus of the major surface glycoprotein (MsgC) of Pneumocystis jirovecii are useful for analyzing serologic responses in humans. However, there is no standardized set of antigens in general use, which could lead to conflicting results. We have previously shown that human immunodeficiency virus type 1 (HIV-1)-infected patients with prior Pneumocystis pneumonia (PcP+) responded more frequently and more strongly to a clone of MsgC than did HIV-1-infected patients without PcP (PcP-). Here we test three new clones of MsgC to determine the effect of antigenic sequence variation on immune reactivity in blood donors and HIV-infected patients previously analyzed for reactivity to our original MsgC clone. In Western blot analyses, PcP+ patients exhibited the highest frequency of reactivity to each MsgC clone, and the frequency of reactivity with all four MsgC clones together was significantly higher in sera from PcP+ patients than in sera from the other patient groups. Furthermore, in an enzyme-linked immunosorbent assay we found that the PcP+ population had the highest level of reactivity to two of the four clones tested. One of the new clones could distinguish between PcP+ and PcP- populations, and two MsgC clones could distinguish blood donors from the other patient populations. The results show that inherent differences in MsgC amino acid sequence can affect recognition by antibodies independently of variations in protein length or patient population, and the utility of a clone depends on its sequence and on the populations tested.

Effects of two nipple drinker types with different flow rates on the productive performance of broiler chickens during summerlike growing conditions.

Three trials were conducted to study the effects of a high flow volume (2.3 mL/s) nipple waterer (HFN) versus a low flow volume (.4 mL/s) nipple waterer (LFN) on the productive performance of broiler chickens as measured by average body weight (kilograms), average feed conversion (kilograms:kilogram), and percentage mortality rate. Equal numbers of male and female birds were used during Trial 1; only male birds were used during Trials 2 and 3. All trials were conducted during the summer months. An attempt was made during Trial 2 to expose the birds to artificial heat stress. No differences were seen during any of the trials in feed conversion between the two treatments. In Trial 1 the only significant difference (P less than or equal to .05) exhibited was in average male body weight (1.87 kg HFN; 1.84 kg LFN). A highly significant difference (P less than or equal to .01) was seen in average body weight (1.75 kg HFN; 1.64 kg LFN) during Trial 2. Average body weight difference during Trial 3 was highly significant at 42 days of age but not at Day 49. Mortality rate figures during Trial 2 indicate a highly significant difference during the 38-day period prior to heat stress (2.2% LFN; .4% HFN), and significant difference during the heat stress period (38 to 44 days; 2.9% LFN; 1.5% HFN). During Trial 3 mortality rate differences were significant by 49 days (20.6% LFN; 11.4% HFN) although there was no difference at 42 days.(ABSTRACT TRUNCATED AT 250 WORDS)

The effect of age of breeder hens on residual yolk fat, and serum glucose and triglyceride concentrations of day-old broiler chicks.

The fat content and the concentrations of glucose and triglyceride in day-old chicks hatched from 27 and 60 wk-old broiler-breeder hens were determined from pooled samples of residual yolk and blood serum, respectively. Serum glucose and triglyceride levels were unaffected (P greater than .05) by breeder age, although there was a linear (P less than .001; r = .67) relationship between these characteristics and chick weight. Yolk fat, adjusted for chick weight, was on the average 13% greater (P less than .05) in chicks from old breeders than chicks from young breeder hens. Yolk wet weight was not affected (P greater than .05) by breeder age. Results indicate that breeder age may affect chick performance through alterations in the fat content of residual yolk.

An intronic 10-base-pair deletion in a class II A beta gene affects RNA processing.

Several biologically important examples of posttranscriptionally regulated genes have recently been described (T. Gerster, D. Picard, and W. Schaffner, Cell 45:45-52, 1986; R. Reeves, T.S. Elton, M.S. Nissen, D. Lehn, and K.R. Johnson, Proc. Natl. Acad. Sci. USA 84:6531-6535, 1987; H.A. Young, L. Varesio, and P. Hwu, Mol. Cell. Biol. 6:2253-2256, 1986). Little is known, however, regarding sequences that mediate posttranscriptional RNA stability. Characterization in our laboratory of a mutant murine B lymphoma, M12.C3, revealed a posttranscriptional defect affecting the synthesis of a major histocompatibility complex class II gene (A beta d) whose product normally controls both the specificity and magnitude of the immune response. Molecular studies revealed that the mutation responsible for diminished A beta d gene expression was an intronic deletion of 10 base pairs (bp) located 99 bp 5' of the third exon. This deletion lies in a region not known to be critical for accurate and efficient splicing. Furthermore, sequence analysis of amplified A beta-specific cDNA demonstrated that the small number of A beta d transcripts produced in the mutant cells was correctly spliced. It appears that the mechanism by which this intronic 10-bp deletion acts to decrease RNA stability is unlikely to be at the level of RNA splicing.

Statistical association of dietary components with Simonsiella species residing in normal human mouths.

Members of the genus Simonsiella, aerobic, multicellular filamentous gliding bacteria, were detected in swabbings from the palates of 32% of 212 human subjects free of gross oral pathologies. Nutritional evaluations for 142 of the subjects showed a significantly greater daily intake among 53 Simonsiella carriers for 13 dietary variables, including four fat components, but there was no significantly greater daily intake for any of the carbohydrate components. Overall, there was a general excess dietary intake by Simonsiella carriers. The mean dietary intake of the carriers was numerically greater than that of the noncarriers for 70 of 74 dietary variables.

Isolation, characterization, and numerical taxonomy of Simonsiella strains from the oral cavities of cats, dogs, sheep, and humans.

Forty-nine strains of the gliding prokaryote Simonsiella were isolated from the oral cavities of cats (8), dogs (19), sheep (4), and humans (18) in Southern California by a direct isolation procedure using a complex serum-enriched medium. The numerical taxonomic analysis (unweighted pair-group method using arithmetric averages) of 57 differential traits for each strain was based on standard bacteriological diagnostic tests and included the molar guanine-plus-cytosine contents of the DNA and the relative percentages of fatty acid contents reported earlier. The resulting phenogram clustered the strains of Simonsiella into groups that correlated with sources of origin. The study included the neotype strain of Simonsiella crassa (ATCC 27504, ICPB 3651, NCTC 10283) of Australian sheep origin. The strains isolated from dogs, sheep, and humans form clusters of organisms that appear to have become adapted to live in and possibly to have evolved with their respective "hosts". In our judgment, these source-of-origin clusters represent different "ecospecies".

Fatty acid composition of Simonsiella strains.

Gas-liquid chromatography of methyl esters of bound fatty acids extracted from the cells of 48 Simonsiella strains showed that these aerobic, gliding, multicellular-filamentous bacteria have fatty acid profiles of the pattern considered typical of Gram-negative eubacteria. All strains contained predominantly tetradecanoic acid (29.5%), 9-hexadecenoic acid (22.2%), an unidentified acid with an equivalent chain length of approximately 20 carbon atoms (15.8%), and dodecanoic acid (11.4%). Discriminant analysis of the mean relative percentages of 12 fatty acids correctly assigned 94% of the strains to groups based on their source of origin (i.e., the oral cavities of sheep, cat, human or dog); the relative amounts of only 3 of the fatty acids (9-octadecenoic acid, hexadecanoic acid, and tetradecanoic acid) provided most of this discrimination.