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At least 19 recordsLinked to original sources

Dissecting spatial patterning and signaling with directional diffusion in spatial multi-omics.

Spatial multi-omics sequencing enables the simultaneous profiling of transcriptomics, proteomics, and epigenomics at a spatial resolution, offering insights into complex tissue organization and molecular regulation. However, the effective integration of multiple omics modalities in a spatial context remains a major challenge. Here, we present SpaDDM, a spatial multi-omics integration framework based on directional diffusion models (DDMs), which supports spatial pattern identification, cross-omics alignment, and inter-and intracellular signaling flow analysis. SpaDDM employs DDM-based graph networks to learn omics-specific representations by jointly incorporating spatial coordinates and molecular measurements within each modality, followed by an attention mechanism to align features across modalities. We benchmarked SpaDDM on diverse spatial multi-omics datasets, including transcriptomics-epigenomics and transcriptomics-proteomics combinations across multiple tissues and species. SpaDDM consistently outperformed existing methods by more accurately deciphering spatial tissue patterns and effectively reducing the boundary noise between spatial regions. Moreover, the learned low-dimensional coembedded representations of individual cells serve as integral mediators for inferring the signaling flows that underlie spatial patterning. Finally, we demonstrated that SpaDDM alignment of complementary information across multi-omics layers facilitates cross-omics translation and significantly improves the prediction of cell state alignments.

Multiomics

Pattern Formation in a Spatial Public Goods Dilemma due to Diffusive or Directed Motion.

The costly provision of public goods serves as a model problem for the evolution of cooperative behavior, presenting a social dilemma between the collective benefits of shared resources and the individual incentive to free-ride in resource production. The spatial structure of populations can also impact cooperation over public goods, as diffusion of public goods and intentional motion of individuals towards regions with greater resources can interact with population and public goods dynamics to produce heterogeneous patterns in the spatial distribution of strategies and resources. In this paper, we build off a model introduced by Young and Belmonte for the reaction dynamics of interacting individuals and an explicit public good, deriving a system of PDEs that describes the spatial profiles of strategies and the public good in the presence of both diffusive motion of individuals and resources and chemotaxis-like directed motion of individuals in response to gradients in the concentration of public goods. Through linear stability analysis, we show that spatial patterns in strategic and public goods profiles can emerge due to either Turing instability with high defector diffusivity or a directed-motion instability through strong sensitivity of cooperators towards increasing resource concentration. We further explore the emergent spatial patterns with a mix of weakly nonlinear stability analysis and numerical simulation, showing that, for a wide range of reaction parameters, diffusion-driven instability appears to increase cooperation and public goods across the spatial domain, while directed motion of cooperators towards public goods tends to decrease cooperation and environmental quality across the environment.

Models, Biological

Models for the active transport of cations...the steady-state analysis.

We summarise the progress that has been made in the analysis of active transport models, at the steady-state level. The two general classes of such model, counter-and co-transport, can be treated by a kinetic analysis which makes no assumptions as to the symmetry or asymmetry of the systems nor as to the presence of any particular rate-limiting steps. Precisely the same formalism is obeyed for primary active transport as for secondary active transport. Both are merely a generalisation of facilitated diffusion, in that they follow directly from accepted properties of carrier models. How affinities of such carriers for their substrates affect the efficiency of active transport is discussed and it is shown that in a number of cases, the affinity changes that the carrier demonstrates arise from inherent properties of the free carrier and not from any "high energy" properties of the chemical reactants. Methods of obtaining the kinetic parameters of the system from experimental data are reviewed, together with methods for testing and characterising the different transport models.

Binding Sites

Preaggregative cell motion in Dictyostelium.

The motions of a large number (495) of preaggregative D. discoideum NC-4 cells in sparse fields are recorded on time-lapse film and analysed using a specially constructed computer graphics system. All films are produced under a standard set of conditions, so that the range of cell behaviours under given conditions can be characterized. The mean velocity of pre-aggregative D. discoideum NC-4 is 7.19 micrometers/min. The mean velocity time course has a significant early peak at about 3 h. The distribution of mean velocities is fairly broad with a long high velocity tail. A modified random walk model using the parameters diffusion constant and persistence time describes well the changes in cell direction with time. Persistence can be described as an exponentially distributed 'memory' of movement direction, with a mean of 4.89 min. High velocity cells never have long persistence times, and persistence time shows no relationship with age. A nearest neighbour model of cell spacing shows that cells are randomly (Poisson) distributed at low densities. Measurements of cell contacts are compared to a simple model of contact frequency based on the kinetic theory of gases to show that cells at low densities have an affinity for making collisions. The length of contact durations is indicative of some mechanical adhesion between cells, and cells in contact move significantly though not dramatically slower. A cross-correlation analysis shows that the various parameters of motion are significantly interrelated in numerous ways. Finally mutants and strains related to D. discoideum NC-4 exhibit a number of new behaviours, suggesting that motion is a distinctive characteristic of cell type.

Agglutination

Pharmacokinetics of halothane in the dog. Comparison of theory and measurement in individuals.

After surgical preparation under pentobarbitone anaesthesia seven dogs of mean body weight 31 kg were ventilated with 1% halothane for 80 min. At 1, 2, 5, 10, 20, 40 and 80 min after the start of the halothane administration blood samples were taken from the femoral artery and pulmonary artery and from a cerebral, a renal and a femoral vein. At 80 min a biopsy sample of skeletal muscle (psoas) was taken. The halothane tension in all samples was determined by extraction into carbon tetrachloride followed by gas chromatographic analysis using chloroform as an internal standard. The measured tensions were compared with tensions computed from a multi-compartment model of the uptake and distribution of halothane in the body. The model was quantified by measurements, in each individual, of total body mass, the masses of the major organs and the solubility of halothane in the major organs and tissues; by measurements of blood volume and solubility in blood at the start and finish of the halothane administration; and by repeated measurements of alveolar ventilation, cardiac output and body temperature. For the original version of the model, the computed tensions deviated from the measured tensions to an extent greater than could be attributed to experimental error and in a manner which could be attributed to metabolism of halothane and probably to direct diffusion of halothane from well-perfused organs and lean tissues into fat. Direct experimental evidence of diffusion into perirenal fat was obtained in supplementary experiments. With the quantitation of the model distorted to mimic the processes of metabolism and diffusion, measured arterial tensions could be predicted with a mean error of -0.2 mm Hg (SD 0.6 mm Hg). The mean measured arterial tension was 3.5 mm Hg.

Animals

Recovering membrane interaction kinetics of single molecules from 3D tracking data.

Interactions between cytosolic biomolecules and the bacterial inner membrane are fundamental to many cellular processes, yet directly measuring their binding kinetics in living cells remains challenging. Conventional 2D single-molecule tracking analyses can be insufficient, particularly when membrane association does not markedly alter the diffusion rate. Here, we present a method to recover membrane interaction kinetics from 3D single-molecule trajectories in rod-shaped bacteria. Using simulated 3D tracking data, we identify membrane-associated motion by quantifying how well short trajectory segments follow the circular curvature of the cell membrane. The resulting measure is further analyzed using a hidden Markov modeling framework, enabling robust discrimination between cytosolic and membrane-bound states and capturing the dynamics of state transitions without requiring diffusion-rate changes or direct colocalization with membrane markers. This work establishes a general framework for extracting membrane interaction kinetics from 3D single-molecule tracking data in live bacteria and highlights the value of realistic microscopy simulations for quantitative interpretation and systematic bias assessment.

Kinetics

Numerical determination of intestinal membrane diffusing constants by a gradient method.

Optimisation problems arising in the identification of kinetic parameters of intestinal membranes are here considered. The dynamic behaviour of the membrane is described by means of a linear compartmental model. Using optimisation techniques of a gradient type, the intestinal kinetic parameters are identified, minimising a quadratic criterion between experimental data of D-histidine transport and model prediction. Numerical results are reported and their physiological implications discussed. The quantitative assessment of the asymmetry of diffusion constants with respect to diffusion direction seems to be an important result of this work.

Biological Transport

Isometric dynamic response of mammalian heart muscle due to step changes in the calcium concentration of the perfusing medium.

The isometric tension transient response of isolated kitten papillary muscle was found to exhibit direction-dependent dynamics when subjected to step changes in the calcium concentration of the bathing medium. The tension transient curves could be resolved into a minimum of two to three exponential components, which could be considered to indicate different calcium compounds or compartments within the muscle. However, a model relating calcium diffusion across the muscle to the dose-response curve indicates that the exponential components of the tension transient curves are due to the properties of calcium diffusion through the extracellular space, and that the direction-dependent dynamics are caused by the nonlinearity of the dose-response curve.

Animals

Natural selection for within-generation variance in offspring number II. Discrite haploid models.

In the classical model of genetic drift in population genetics theory, use is made of a hypothetical "infinite-gametic pool". If, instead, the gametic pool is determined by the random number of offspring per individual, a new form of natural selection acting on the variance in offspring number occurs. A diffusion model of this selection process is derived and some of its properties are explored. It is shown that, independent of the sampling scheme used, the diffusion equation has the drift coefficient M(p) = p(1-p) (mul--mu2 + sigma2e2--sigma2el) and the diffusion coefficient v(p) equals p(1-p) [psigma2e2 + (l--p)sigma2el]. It is also pointed out that the Direct Product Branching process model of genetic drift introduces a non-biological interaction between individuals and is thus inappropriate for modeling natural selection.

Alleles

[Modified agar diffusion test for direct testing of the effectiveness of released antibiotics from bone cements].

A modified agar-diffusion method is used to test the bactericidal efficacy of antibacterial substances (model substance: Gentamicin) that have been mixed with Palacos osseous cement. Holes of a diameter slightly larger than the diameter of the cylindric Palacos test block are cut from the agar plate. The remaining space (inner wall of the hole--edge of the test body) is filled with various eluate media. The release of active antibacterial substances from polymethylmetacrylates can thereby be determined under nearly physiologic conditions at varying pHs by direct antibacterial testing.

Agar

Influence of membrane lipid fluidity on glucose and uridine facilitated diffusion in human erythrocytes.

A central question which must be resolved before acceptable molecular descriptions of facilitated diffusion systems can be provided is the nature of the spatial and functional relationships between the transport proteins and the membrane lipids. In the work reported here, this question was addressed by investigating the dependence of the rates of glucose and uridine facilitated diffusion in human erythrocytes on membrane lipid fluidity. Two approaches were used to alter the lipid fluidity: treatment with ether, an anesthetic, and the exchange of a synthetic 3-ketosteroid, cholest-4-en-3-one, for membrane chloesterol. Both of these treatments result in a significant increase in membrane lipid fluidity, as judged by the increase in the rates of passive diffusion of uridine through cell membranes and of glucose through membrane lipid bilayer vesicles. Ether produces no change in the Km of either transport process, a slight decrease in the V for glucose transport, and no significant change in the V for uridine transport. Replacement of membrane cholesterol by cholest-4-en-3-one reduces the V for glucose transport slightly, without altering the Km, and reduces both the Km and V for uridine transport. The absence of the expected increase in the V of facilitated diffusion with increasing membrane lipid fluidity observed here with human erythrocytes is not consistent with models for the transport process which feature movement of transport proteins which are in direct contact with the bulk lipids of the membrane.

Biological Transport

Influence of isoproterenol and cholestyramine on acute gastric mucosal ulcerogenesis.

One thesis concerning the pathogenesis of "stress ulcer" states that the combination of (1) bile acid-induced H+ "back diffusion" and (2) gastric mucosal ischemia is acutely Hg) to induce ischemia, this thesis was further tested by selectively mitigating either the ischemic or the back diffusion components of the model. Vascularized wedges of proximal canine gastric wall mounted on Lucite chambers were studied. With the mucosa directly visualized, control group A (6 dogs) was subjected sequentially to (1) topical acid test solution alone (ATS), (2) ATS + S, and (3) ATS + S + topical 5 mM Na taurocholate (TC). Study group B (6 dogs): (1) ATS, (2) ATS + S + the beta adrenergic agonist, isoproterenol, 1.5 microng per kg-min infused into the splenic artery, and (3) ATS + S + TC + isoproterenol. Study group C (6 dogs): (1) ATS, (2) ATS + S + the bile acid binding resin, cholestyramine (C), 4 g per liter, and (3) ATS + S + TC + C. During each period the net flux of H+, the electrical potential difference, and the aminopyrine clearance (AC) were determined. Mucosal damage (intramucosal hemorrhage, erosions, and ulcers, graded 0 to 5) was assessed blindly by an independent observer using photographs. The results indicate (1) that, despite H+ back diffusion comparable to ATS + S + TC, intraarterial isoproterenol significantly protects against lesion formation by increasing AC, and (2) that, despite a reduction in AC comparable to ATS + S + TC, topical C significantly protects against lesion formation by preventing excessive back diffusion of H+.

Administration, Topical

Nature of amorphous aluminum hydroxycarbonate.

The titration of sodium carbonate with aluminum nitrate is shown to produce amorphous aluminum hydroxycarbonate. This compound is not stoichiometric, although the maximum carbonate to aluminum ratio appears to be 0.5. The pH conditions for achieving the maximum carbonate content are concentration dependent. A model for the particle surface at the solution interface is proposed. This model accounts for the presence of carbonate directly coordinated to the aluminum and carbonate adsorbed by electrostatic forces. Sodium is present in the diffuse layer and is, therefore, not an integral part of the structure.

Aluminum

Estimation of dissolution rate of salicylamide in complexing media using a theoretical diffusion model.

Dissolution rates of salicylamide in water and caffeine solutions under perfect sink conditions were predicted by theoretical diffusion equations applicable to dissolution in complexing media. Experimental dissolution rates were measured using a compartmentalized rotating-basket apparatus under two sets of conditions. Agreement was found between experimental and predicted rates. Use of the theoretical equation for estimating dissolution rates involves simple calculations of diffusion coefficients and diffusion layer thickness under the operative dissolution conditions. The increase in dissolution rate caused by addition of the complexant can be calculated for diffusion-controlled dissolution directly if the stability constant and the drug solubility in water are known or measured.

Caffeine

Studies on the human pharmacokinetics of isophosphamide (NSC-109724).

The pharmacokinetics of isophosphamide (IP) in man has been studied using 14C-labeled drug and differential extraction of unchanged drug from metabolites by CHCl3 extraction of plasma and urine. The plasma decay of IP is biphasic with a terminal half-life of 15.2 hours which is twice that reported for cyclophosphamide (CP). The fraction of drug metabolized is 49% for IP compared to 88% reported for CP. This is consistent with the six-times larger pseudometabolic pharmacokinetic rate constant reported for CP (0.26 hr-1) than found by us for IP (0.04 hr-1). The renal clearance for IP (21.3 ml/min) is two times that of CP (10.7 ml/min). In addition to an analysis of the kinetics of disposition and elimination of unchanged IP, an analysis of the pharmacokinetics of total metabolite of IP in plasma and urine was made. A nonlinear pharmacokinetic model which includes a term for biotransformation according to Michaelis and Menten revealed that the total metabolites do not diffuse from a small plasma space of 2.1 liters but are excreted directly via the urine. In contrast to the biexponential plasma decay of single, high-dose IP (5 g/m2), multiple-dose IP (2.4 g/m2/day X 3) shows a monoexponential decay with a half-life of 6.9 hours, a pseudometabolic rate constant of 0.08 hour-1, and a renal clearance of 18.7 ml/minute. The fraction of drug metabolized (79.7%) calculated from the pharmacokinetic parameters agrees with the fraction of drug recovered in urine as total metabolites (72.8%). This is distinctly different from high-dose IP (48.6%) but similar to the fraction of drug metabolized as reported for CP (88.0%). This suggests that the pharmacokinetic transfer constant for IP metabolism is dose dependent, an observation that may be useful in developing new IP regimens.

Cyclophosphamide

Glymphatic dysfunction mediates inflammation-driven vascular burden and cognitive decline in cerebral small vessel disease.

BACKGROUND: Cerebral small vessel disease (CSVD) is increasingly recognized as a disorder involving microvascular dysfunction, impaired perivascular clearance, and inflammatory processes. However, how systemic inflammatory burden, neurovascular coupling (NVC), glymphatic MRI markers, vascular lesion burden, and cognition are interrelated remains unclear. MATERIALS AND METHODS: In this prospective study, 155 patients with CSVD and 70 healthy controls (HCs) underwent multimodal MRI. NVC was quantified using the cerebral blood flow/fractional amplitude of low-frequency fluctuations ratio. Glymphatic function was assessed via the diffusion tensor image analysis along the perivascular space (ALPS) index, choroid plexus volume (CPV), and perivascular space (PVS) fractions. Structural equation modeling (SEM) was employed to evaluate the direct and indirect effects of inflammatory markers on vascular burden and cognitive performance. RESULTS: Patients with CSVD exhibited significantly diminished NVC (specifically in the right median cingulate and left frontal gyri) and impaired glymphatic function (lower ALPS-index; higher CPV and PVS fractions) compared to HCs. SEM revealed that inflammatory biomarkers exerted both a direct effect on vascular burden and a substantial indirect effect (accounting for 66.3% of the total effect) mediated through two pathways: a single-mediation path via glymphatic function (42.8%) and a serial-mediation path via NVC and glymphatic function (23.5%). Increased vascular burden was significantly associated with poorer cognitive performance. CONCLUSION: Inflammation drives CSVD progression and cognitive decline primarily through the disruption of NVC and glymphatic clearance mechanisms. These findings highlight glymphatic dysfunction as a critical mediator of inflammation-related structural brain damage.

Humans

Experimental glomerulonephritis induced by in situ formation of immune complexes in glomerular capillary wall.

An experimental model of glomerulonephritis was produced by the in situ formation of immune complexes directly in the glomerular capillary wall. Perfusing the lectin concanavalin A (Con A) into the left renal arteries of rats led to its binding diffusely to the glycoproteins of the glomerular capillary wall of only that kidney in each animal. The subsequent reaction with anti-Con A antibody (either administered systemically or actively induced) resulted in an exudative and proliferative glomerulonephritis confined to the Con A perfused kidney. Immunofluorescence disclosed the diffuse deposition of immunoglobulin, Con A, and C3 in the perfused, but not the unperfused kidney. The quantitative relationship between antigen and antibody binding and histologic outcome was determined. Since lectins have been found in mammalian tissues, as well as in infectious agents that are pathogenic in man, a series of events conceptually similar to this in situ model may occur in some cases of glomerulonephritis in man.

Animals