A STUDY OF THE KINETICS OF MICROSPOROGENESIS IN CAMPELIA ZANONIA (L.) H.B.K.

During maturation, microspores pass through a series of morphologically distinguishable stages or compartments. A study has been made of the systematic fluctuations in the frequency of microspores in these compartments, when plants are grown under rigidly controlled conditions. A new approach to the construction of cumulative flux rate curves is described; these give the number of cells passing the compartment boundaries per unit time. The curves obtained indicate that simple models, which assume constant flux rates and compartment transit times, will not explain the observations. It is evident that not only do microspores mature at different rates, but that the maturation rate of individual microspores varies during the developmental sequence. The overall process may be controlled by the intimate relationship which exists between the microspores and the tapetal periplasmodium in the Tradescantiae.     

Cell kinetics in the erythroid compartment of guinea pig bone marrow: a model based on 3H-TdR studies

A model of steady-state erythropoiesis in the guinea pig is described. The model incorporates an unidentified progenitor compartment, as well as compartments representing proerythroblasts, basophilic, polychromatic and orthochromatic cells. A computer representation of the model permits a simulation of the labeling curves obtained in pulse and intermittent labeling regimes. It was found that a reasonable fit to the data can be achieved when the parameters for the various compartments are essentially identical. The results of a preliminary sensitivity analysis, carried out by perturbing the duration of S phase from the best fit value, are reported. The fit achieved to the data supports the hypothesis underlying the model that each compartment corresponds to one generation and that the flux within and between compartments is sequential.     

A kinetic investigation of the effects of adrenaline on 45Ca2+ exchange in isolated hepatocytes at different Ca2+ concentrations, at 20 degrees C and in the presence of inhibitors of mitochondrial Ca2+ transport.

The effects of adrenaline on 45Ca2+-exchange curves for isolated hepatocytes incubated under various steady-state conditions were investigated. Kinetic analysis showed that the simplest compartment configuration consistent with each set of data was a series configuration of a three-compartment closed system comprising compartment 1 (C1), the extracellular medium, and two kinetically distinct compartments of cellular exchangeable Ca2+, C2 and C3 (C1 = C2 = C3). Subcellular fractionation of hepatocytes labelled with 45Ca2+ at 0.1 mM-Ca2+ indicated that C3 includes exchangeable Ca2+ in the mitochondria and endoplasmic reticulum. The following results were obtained from experiments conducted at 37 degrees C at five different extracellular Ca2+ concentrations. For both untreated and adrenaline-treated cells, plots of the flux from C1 to C2 as a function of the extracellular Ca2+ concentration were best described by straight lines consistent with Ca2+ influx across the plasma membrane being a diffusion process. Adrenaline increased the value of the permeability constant for Ca2+ influx by 40%. For untreated cells, plots of the flux between C2 and C3 as a function of the concentrations of Ca2+ in these compartments approached a plateau at high Ca2+ concentrations. Adrenaline caused a 3-fold increase in the concentration of Ca2+ that gives half-maximal rate of Ca2+ transport from C2 to C3. At 1.3 mM extracellular Ca2+, a decrease in incubation temperature from 37 degrees C to 20 degrees C decreased the quantity of Ca2+ in C3 and the flux and fractional transfer rates for the transport of Ca2+ between C2 and C3. At 20 degrees C adrenaline increased the quantity of Ca2+ in C3 and the fractional transfer rates for the transfer of Ca2+ from C1 to C2, and from C2 to C3. At 37 degrees C and 2.4 mM extracellular Ca2+, antimycin A plus oligomycin decreased the quantity of Ca2+ in C3 and increased the fractional transfer rate for the transport of Ca2+ from C3 to C2. In the presence of antimycin A and oligomycin, adrenaline did not increase the quantity of Ca2+ in C2 or the flux and fractional transfer rate for the transport of Ca2+ from C1 to C2, whereas these parameters were increased in the absence of the inhibitors.     

Cell Kinetics In the Erythroid Compartment of Guinea Pig Bone Marrow: A Model Based On 3H-Tdr Studies

A model of steady-state erythropoiesis in the guinea pig is described. the model incorporates an unidentified progenitor compartment, as well as compartments representing proerythroblasts, basophilic, polychromatic and orthochromatic cells. A computer representation of the model permits a simulation of the labeling curves obtained in pulse and intermittent labeling regimes. It was found that a reasonable fit to the data can be achieved when the parameters for the various compartments are essentially identical. the results of a preliminary sensitivity analysis, carried out by perturbing the duration of S phase from the best fit value, are reported. the fit achieved to the data supports the hypothesis underlying the model that each compartment corresponds to one generation and that the flux within and between compartments is sequential.     

The calculation of transfer rates in two compartment systems not in dynamic equilibrium

Dynamic equilibrium in a biological system implies that the compartment under study does not change in size during the period of observation. In many biological systems there are, however, net changes with time and this report deals with the mathematical treatment necessary to calculate unequal rates of inflow and outflow. A method is presented for the calculation of transfer rates in a two compartment system when the rates of flow between these compartments are unequal but constant. Equations were developed to calculate the amount of material transported per unit time derived from measurements of specific activity and compartment size. The problems of (1) sampling from the pool and (2) the effects of analytical errors on the estimation of rate have been evaluated. An example has been presented in which the derived equations have been applied to a study of the simultaneous passage of sodium into and out of a permanently isolated loop of bowel.     

HIV-1 buds and accumulates in "nonacidic" endosomes of macrophages

Macrophages represent viral reservoirs in HIV-1-infected patients and accumulate viral particles within an endosomal compartment where they remain infectious for long periods of time. To determine how HIV-1 survives in endocytic compartments that become highly acidic and proteolytic and to study the nature of these virus-containing compartments, we carried out an ultrastructural study on HIV-1-infected primary macrophages. The endosomal compartments contain newly formed virions rather than internalized ones. In contrast to endocytic compartments free of viral proteins within the same infected cells, the virus containing compartments do not acidify. The lack of acidification is associated with an inability to recruit the proton pump vacuolar ATPase into the viral assembly compartment. This may prevent its fusion with lysosomes, since acidification is required for the maturation of endosomes. Thus, HIV-1 has developed a strategy for survival within infected macrophages involving prevention of acidification within a devoted endocytic virus assembly compartment.     

Solutions for the kinetic analysis of 45calcium uptake curves

The classic solutions based on specific activity curves for the kinetic analysis of ⁴⁵Ca movements in three compartment cellular systems cannot be used when the extracellular compartment is one to two orders of magnitude larger than the cellular or tissue compartments. However if the relative radioactivity curve (tracer uptake curve) is analyzed it is possible to calculate all the relevant kinetic parameters. This paper offers the solutions based on relative radioactivity measurements for the calculation of exchange rates, rate constants and compartment sizes of three compartment systems, for series and parallel cases, for closed and open systems.     

Changes in the extents of viable and necrotic tissue, interstitial fluid pressure, and proliferation kinetics in clone A human colon tumour xenografts as a function of tumour size

Abstract. Total, viable and necrotic tumour tissue, tumour cell yields, and colony forming efficiencies were measured in clone A human colon tumour xenografts as neoplasms grew from about 100 mm³ to about 6000 mm³. The volumes of the total, viable and necrotic compartments were fit using the Verhulst equation to obtain estimates of growth rates and maximal sizes of the various compartments (carrying capacities). Additionally, at four discrete tumour volumes (250, 850, 2500 and 5500 mm³), hypoxic percentages, proportions of parenchymal tumour and host cells, interstitial fluid pressures, and proliferation kinetics including measurements of apoptosis were determined. There were interesting relationships between the shapes of the curves for total, viable and necrotic tissue to some of the other endpoints measured. Specifically, the volumetric growth curves for the total and viable tumour tissue compartments were identical to a volume of approximately 1000 mm³, but diverged at larger sizes, with the viable cell compartment exhibiting a smaller carrying capacity. The shape of the growth curve for the necrotic compartment exactly mimicked that for the total volume compartment, but was delayed in time by about 21 days. Similarity in shape to that of the overall tumour volume/necrotic volume curves was also seen for the curve for the increase in interstitial fluid pressure, and for the increase in the size of the host cell compartment. In contrast, the growth of the hypoxic compartment and of the parenchymal tumour cell compartment were similar in shape to that of the viable compartment. These data indicate that these compartments are functionally linked. Marked changes in cell kinetic parameters occurred as tumour size increased from 250–5500 mm³. The labelling index and growth fractions decreased from 0.256–0.125, and 0.77–0.40 respectively, and the cell loss factor increased from 0.52–0.74. The volumetric and potential doubling times increased from 4.3–17.6 and 2.1–4.6 days respectively. The cell kinetic changes could not be clearly related to the changes in shape of either the overall tumour volume or the viable tumour volume.     

Cell proliferation in the erythroid compartment of guinea-pig bone marrow: studies with 3H-thymidine.

Single and multiple injections of 3H-TdR have been used for measuring the rate of proliferation in morphologically defined cell populations of guinea-pig bone marrow that are committed to erythroid differentiation. The conclusions are based on the analysis of absolute cell numbers in the maturational compartments, the labeling and mitotic indices, labeled mitotic curves, pulse and chase grain counts over dividing and interphase cells, and on the rate or labeling during multiple, repeated injections of 3H-TdR. The average duration of S and the rate of cycling is similar in all maturational compartments of the erythrom. The majority of cells progress to the next maturational compartment by the time they divide for the second time. All proerythroblasts and basophilic erythroblasts are in cycle. Polychromatic erythroblasts incapable of incorporating 3H-TdR reach the orthochromatic population in the span of 5-6 hr. The orthochromatic population is renewed every 20-24 hr. The number of divisions between the proerythroblast and orthochromatic erythroblast does not exceed four and some cells may undergo only two divisions during the maturation pathway. Cell input from a progenitor cell population contributes to the maintenance of the erythron. The kinetic behavior of progenitor cells is similar to that of proerythroblasts. By the time of their second division, progenitor cells may reach either the proerythroblast or basophilic erythroblast compartments. The kinetic behavior of basophilic transitional cells corresponds to the predicted behavior of the erythroblast progenitor cell pool. Several of the conclusions are based on the assumption that grain count halving is the result of cell division. In view of the evidence discussed, this assumption in the present studies seems justified.     

Chemotactic peptide binding by rabbit polymorphonuclear leukocytes. Presence of two compartments having similar affinities but different kinetics

N-Formylnorleucylleucylphenylalanine (f-Nle-LeuPhe) bound to rabbit peritoneal polymorphonuclear leukocytes at 4 degrees C exists in at least two compartments that can be differentiated by their off rates. The off rate of one compartment is similar to that of the receptor characterized previously, about 0.4 min-1 (Aswanikumar, S., Corcoran, B., Schiffmann, E., Day, A. R., Freer, R. J., Showell, H. J., Becker, E. L., and Pert, C. B. (1977) Biochem. Biophys. Res. Commun. 74, 810-817; Sullivan, S. J., and Zigmond, S. H. (1980) J. Cell Biol. 85, 703-711); the off rate of the second compartment is about 0.005 min-1. Lysis of the cells at 4 degrees C with 1% Triton does not affect the peptide release from either compartment. Accumulation of peptide at 4 degrees C into the fast off-rate compartment is rapid, reaching a plateau in about 5 min, while peptide in the slow off-rate compartment continues to increase for up to 4 h. The rate of accumulation in the slow off-rate compartment is approximately proportional to the amount of peptide bound to the fast off-rate compartment. Cells lysed at 4 degrees C before binding are still able to accumulate peptide into both compartments. Three possible models to explain the data are presented.     

Kinetics of glucose transport and sequestration in lactating bovine mammary glands measured in vivo with a paired indicator/nutrient dilution technique.

To quantify kinetics of mammary glucose utilization in vivo, 24 paired glucose and extracellular indicator (p-aminohippuric acid) dilution curves across intact bovine mammary glands were obtained after bolus injections into the external iliac artery. Dilution curves were analyzed using a compartmental capillary, convolution integration model. Four candidate submodels of glucose transport and metabolism in capillary supply zones were fit to the glucose dilution curves and evaluated. Model I, with one extracellular compartment for glucose and first-order unidirectional uptake, failed, indicating that efflux of glucose from the intracellular space could not be ignored. Model II, with first-order exchanges between extracellular and intracellular compartments and sequestration from the latter, was overdefined because unidirectional clearance of glucose was at least five times the blood flow rate and 20 times the net clearance rate. Model III, combining extracellular and intracellular space into one compartment, was superior in its goodness-of-fit to curves and identifiability of parameters. Michaelis-Menten parameters of sequestration were not identifiable. Parameters of the optimal compartmental capillary, convolution integration model were applicable to both the dynamics of injected glucose dilution and the steady-state background arteriovenous difference of glucose. Glucose sequestration followed first-order kinetics between 0 and 7 mM extracellular glucose with an average rate constant of 0.006 s(-1) or a clearance of 44 ml/s. The ratio of intracellular to extracellular glucose distribution space was 0.34, which is considerably lower than the expected intracellular volume and suggests an intracellular occlusion compartment with which extracellular glucose rapidly exchanges.     

The relationship of intercompartmental excitation transfer rate constants to those of an underlying physical model

In studies on photosynthetic systems it is common practice to interpret the results of time-resolved fluorescence experiments on the basis of compartmental, or target, models. Each compartment represents a group of molecules with similar fluorescence characteristics. In cases of practical interest, the members of each compartment are spatially contiguous and make up part of an overall energy-transferring system. Since a rate constant describing the overall transfer between compartments is not that of any pair of molecules in the system, this question naturally rises: what do we learn about the microscopic structure from these data? In this note we introduce ‘compartment melting’, a smooth mathematical connection between the compartmental and microscopic levels. We then show, on the basis of model calculations on finite lattices in one, two, and three dimensions, that average microscopic rates at the interfaces between compartments may be estimated from observed intercompartmental rates. The estimate involves a modest number of structural assumptions about the system. As examples of the method, which is applicable mainly to systems containing homogeneous pigment pools, some recent chlorophyll-protein antenna studies are analyzed.     

Some, but not all, retromer components promote morphogenesis of C. elegans sensory compartments

The endings of sensory receptor cells often lie within specialized compartments formed by glial cells. The main sensory organ of Caenorhabditis elegans, the amphid, provides a powerful setting for studying glial compartment morphogenesis. Our previous studies showed that amphid compartment size is controlled by opposing activities of the Nemo-like kinase LIT-1, which promotes compartment expansion, and the Patched-related protein DAF-6, which restricts compartment growth. From a genetic screen for mutations able to suppress the bloated sensory compartments of daf-6 mutants, we identified an allele of the sorting nexin gene snx-1. SNX-1 protein is a component of the retromer, a protein complex that facilitates recycling of transmembrane proteins from the endosome to the Golgi network. We find that snx-1 functions cell autonomously within glia to promote sensory compartment growth, and that SNX-1 protein is enriched near the surface of the sensory compartment. snx-1 interacts genetically with lit-1 and another regulator of compartment size, the Dispatched-related gene che-14. Mutations in snx-3 and vps-29, also retromer genes, can suppress daf-6 defects. Surprisingly, however, remaining retromer components seem not to be involved. Our results suggest that a novel assembly of retromer components is important for determining sensory compartment dimensions.     

A novel multi-coaxial hollow fiber bioreactor for adherent cell types. Part 1: hydrodynamic studies.

A novel multi-coaxial bioreactor for three-dimensional cultures of adherent cell types, such as liver, is described. It is composed of four tubes of increasing diameter placed one inside the other, creating four spatially isolated compartments. Liver acinar structure and physiological parameters are mimicked by sandwiching cells in the space between the two innermost semi-permeable tubes, or hollows fibers, and creating a radial flow of media from an outer compartment (ECC), through the cell mass compartment, and to an inner compartment (ICC). The outermost compartment is created by gas-permeable tubing, and the housing is used to oxygenate the perfusion media to periportal levels in the ECC. Experiments were performed using distilled water to correlate the radial flow rate (Q(r)) with (1) the pressure drop (DeltaP) between the media compartments that sandwich the cell compartment and (2) the pressure in the cell compartment (P(c)). These results were compared with the theoretical profile calculated based on the hydraulic permeability of the two innermost fibers. Phase-contrast velocity-encoded magnetic resonance imaging was used to visualize directly the axial velocities inside the bioreactor and confirm the assumptions of laminar flow and zero axial velocity at the boundaries of each compartment in the bioreactor. Axial flow rates were calculated from the magnetic resonance imaging results and were similar to the measured axial flow rates for the previously described experiments.     

Staining for viability testing,germination and maturation of Sambucus nigra L. pollen in vitro

Freshly released pollen of black elderberry (Sambucus nigra L.) was incubated under various culture conditions until germination was achieved. Optimal conditions for germination were determined and used for maturation of unicellular microspores in vitro. Staining with 5-diphenyltetrazolium bromide, propidium iodide and iodine potassium iodide was used to assess pollen viability, nuclear phase and maturation, respectively. The germination rate was highest when fresh pollen was agitated at 40 rpm in Petri dishes containing a liquid medium consisting of Brewbaker and Kwack salts, 15% (w/v) sucrose, 500 mg/l MES sodium salt, at pH 5.0; germination reached nearly 70% after only 1 h in culture. Under these conditions, and with addition of 200 mg/l glutamine, 260 mg/l cytidine and 500 mg/l uridine, uninucleate microspores developed into mature pollen at a 12% germination rate. Our report is the first demonstration of maturation of S. nigra microspores in vitro.     

Kinetics of respiratory system elastance after airway challenge in dogs.

We compared the time courses of lung mechanical changes with intravenous (iv) injection vs. aerosol administration of histamine, methacholine, and ACh in dogs. We interpret these results in terms of a spring-and-dashpot model of airway smooth muscle receiving activation via a tissue compartment when agonist is delivered by the iv route and through an additional airway wall compartment when it is delivered by the aerosol route. The model accurately accounts for the principal features of the respiratory system elastance response curves. It also accounts for the differences between iv and aerosol responses, supporting the notion that agonist delivered by aerosol has to traverse a longer pathway to the airway smooth muscle than does agonist delivered iv. The time constants representing diffusive exchange of agonist between compartments were not significantly different for the three agonists, suggesting that the three agonists shared a common principal means of clearance, which was presumably blood flow.     

Distribution of C apolipoproteins between the vascular and lymph compartments of the rat

This study has investigated the kinetics of transfer of C apolipoproteins between the vascular and lymph compartments of the rat. Very-low-density lipoprotein, labeled with [125I]apolipoprotein C, was injected intravenously into lymph duct-cannulated rats and the redistribution of radioactivity between lymph and plasma followed at frequent intervals for 3 h. Equilibration between the two compartments was rapid (10-15 min), and thereafter removal from both compartments continued at similar rates. Specific radioactivity determinations showed that lymph C-III-0, C-III-3, and C-III-2,1 apolipoproteins rapidly reached values identical to those of corresponding plasma C apolipoproteins and the interrelationship between the curves were consistent with precursor-product relationships in which all, or most, of the product (lymph apolipoprotein C-III) was derived from the precursor (plasma). However, the specific radioactivity curves for C-II peptide did not cross; the lower value for lymph C-II apolipoprotein suggests that, unlike C-III apolipoproteins, a substantial proportion (approx. 40%) of lymph C-II peptide is not derived from the plasma compartment. The most likely source of the unlabeled lymph apolipoprotein C-II is synthesis and secretion from the intestine.     

Measurement of facilitated calcium diffusion by a soluble calcium-binding protein

The flux of calcium through an aqueous compartment was determined in a flow-dialysis cell in which two dialysis membranes separated the middle aqueous compartment from two outer compartments. The contribution of convection to the total calcium flux was large but could be removed by addition of 1% agar. The flux of calcium through the gelled aqueous compartment agreed with theoretical expectations. The self-diffusion coefficient for calcium from these results was calculated to be 0.81 X 10(-5) cm2 X s-1. Carp parvalbumin significantly enhanced the calcium flux at 2.3 X 10(-6)M free calcium. The calcium flux increased linearly with parvalbumin concentration. These observations are consistent with the hypothesis that the overall unidirectional calcium flux J is the sum of free calcium diffusion and protein-calcium diffusion: J = D[Ca] + D'[CaPr]. The value of D', the self-diffusion coefficient for parvalbumin, was calculated from the flux data to be 13.7 X 10(-7) cm2 X s-1.     

Cytochalasin B-induced pseudo-cleavage of mouse oocytes in vitro: asymmetric localization of mitochondria and microvilli associated with a stage-specific response.

Mouse oocytes are induced by cytochalasin B to undergo 'pseudo-cleavage' in vitro into 2 equally sized and separable compartments. This response to the drug is dependent upon the meiotic state of the oocytes, as well as upon the presence of an intact zona pellucida. The resulting 2 cellular compartments can be completely separated from another and cultured in vitro. Each of the compartments possesses characteristic structural features. The most pronounced structural differences include: (i) the presence of a nucleus (germinal vesicle) and nucleolus in one compartment; (ii) the presence of microvilli on the surface of the anucleate, but not the nucleate, compartment; and (iii) the localization (segregation) of mitochondria at the periphery of the anucleate, but not the nucleate, compartment. The results presented suggest that pseudo-cleavage induced by cytochalasin B arises as a consequence of a limited interaction of the drug with the oocyte surface and/or cortex and that it may represent a topographical dissociation of transporting and non-transporting regions of the membrane. These and other features of mouse oocytes treated with cytochalasin B are of interest in view of the involvement of the oocyte zona pellucida and plasma membrane during meiotic maturation, fertilization, and early embryogenesis.