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.     

Calcium transport and distribution in Ehrlich mouse ascites tumor cells

Data from isotopic uptake experiments were used to measure calcium fluxes and compartment sizes in ascites tumor cells. The data were analyzed with two kinetic models, A and B. In 80% of the experiments model A, which is based on one exchangeable calcium compartment, was rejected in favor of Model B, which predicts two exchangeable compartments. A statistical evaluation of the model's performance, when fit to the experimental data was used to select between the two models. The results show that calcium was distributed between three cellular compartments in the ratio, non-exchangeable (88%): rapidly exchanging (7%): slowly exchanging (5%). The undirectional fluxes suggested that calcium transport could be described as a series system with the temporal sequence: environment ? rapidly exchanging ? slowly exchanging.     

Quantification of entry into and exit from the cell cycle in human lymphocyte cultures

A mathematical model is presented for the analysis of transition between cycling and non-cycling compartments by cells responding to a growth stimulus. The cellular age distribution as a function of time is derived from sequential [3H]thymidine pulse labeling indices. Rates of entry into and exit from the cycling compartment are determined on the basis of labeling indices obtained after instantaneous and long duration [3H]thymidine pulses. Analysis of an experiment involving sequential measurements over the whole lifespan of a human lymphocyte culture stimulated by phytohemagglutinin is presented as an example of the application of this method.     

A compartmental model of carbon allocation in the vegetative barley plant

Abstract. The allocation of carbon in a vegetative barley plant is described as an open, three-compartment model; the three compartments are soluble (which exchanges material with the environment), storage, and structure (both of which exchange material with the soluble compartment). The model shows a good fit with data on ¹⁴C kinetics following ¹⁴CO₂ feeding and some of its assumptions, properties and implications are discussed.     

Chylomicron metabolism in rats: kinetic modeling indicates that the particles remain at endothelial sites for minutes

Chylomicrons labeled in vivo with ¹⁴C-oleic acid (primarily in triglycerides, providing a tracer for lipolysis) and ³H-retinol (primarily in ester form, providing a tracer for the core lipids) were injected into rats. Radioactivity in tissues was followed at a series of times up to 40 min and the data were analyzed by compartmental modeling. For heart-like tissues it was necessary to allow the chylomicrons to enter into a compartment where lipolysis is rapid and then transfer to a second compartment where lipolysis is slower. The particles remained in these compartments for minutes and when they returned to blood they had reduced affinity for binding in the tissue. In contrast, the data for liver could readily be fitted with a single compartment for native and lipolyzed chylomicrons in blood, and there was no need for a pathway back to blood. A composite model was built from the individual tissue models. This whole-body model could simultaneously fit all data for both fed and fasted rats and allowed estimation of fluxes and residence times in the four compartments; native and lipolyzed chylomicrons (“remnants”) in blood, and particles in the tissue compartments where lipolysis is rapid and slow, respectively.     

Evaluation of quantitative models of the effect of insulin on lipolysis and glucose disposal

The effects of insulin on the suppression of lipolysis are neither fully understood nor quantified. We examined a variety of mathematical models analogous to the minimal model of glucose disposal (MMG) to quantify the combined influence of insulin on lipolysis and glucose disposal during an insulin-modified frequently sampled intravenous glucose tolerance test. The tested models, which include two previously published ones, consisted of separate compartments for plasma free fatty acids (FFA), glucose, and insulin. They differed in the number of compartments and in the action of insulin to suppress lipolysis that decreased the plasma FFA level. In one category of models, a single insulin compartment acted on both glucose and FFA simultaneously. In a second category, there were two insulin compartments, each acting on FFA and glucose independently. For each of these two categories, we tested 11 variations of how insulin suppressed lipolysis. We also tested a model with an additional glucose compartment that acted on FFA. These 23 models were fit to the plasma FFA and glucose concentrations of 102 subjects individually. Using Bayesian model comparison methods, we selected the model that best balanced fit and minimized model complexity. In the best model, insulin suppressed lipolysis via a Hill function through a remote compartment that acted on both glucose and FFA simultaneously, and glucose dynamics obeyed the classic MMG.     

Kinetics of C-14 Translocation in Soybean: II. Kinetics in the Leaf

The kinetics of ¹⁴C-assimilates in the soybean leaf were studied in pulse labeling and steady state labeling experiments. ¹⁴C-Sucrose apparently served as the ultimate source, at least, of translocated ¹⁴C-sucrose. However, since the specific activity of leaf sucrose reached a maximum within 5 minutes after pulse labeling, whereas that of exported sucrose did not reach a maximum until at least 20 minutes, it appeared that there were two sucrose compartments in the leaf. A possible physical basis for the two compartments may be the mesophyll (a photosynthetic compartment) and a specialized “paraveinal mesophyll” (a nonphotosynthetic compartment), through which photosynthate must pass on its way to the veins.     

In vivo imaging of retrogradely transported synaptic vesicle proteins in Caenorhabditis elegans neurons

Axonal transport is an essential process that carries cargoes in the anterograde direction to the synapse and in the retrograde direction back to the cell body. We have developed a novel in vivo method to exclusively mark and dynamically track retrogradely moving compartments carrying specific endogenous synaptic vesicle proteins in the Caenorhabditis elegans model. Our method is based on the uptake of a fluorescently labeled anti-green fluorescent protein (GFP) antibody delivered in an animal expressing the synaptic vesicle protein synaptobrevin-1::GFP in neurons. We show that this method largely labels retrogradely moving compartments. Very little labeling is observed upon blocking vesicle exocytosis or if the synapse is physically separated from the cell body. The extent of labeling is also dependent on the dyenin-dynactin complex. These data support the interpretation that the labeling of synaptobrevin-1::GFP largely occurs after vesicle fusion and the major labeling likely takes place at the synapse. Further, we observe that the retrograde compartment carrying synaptobrevin contains synaptotagmin but lacks the endosomal marker RAB-5. This labeling method is very general and can be readily adapted to any transmembrane protein on synaptic vesicles with a GFP tag inside the vesicle and can also be extended to other model systems.     

Determining the number of specific proteins in cellular compartments by quantitative microscopy

This protocol describes a method for determining both the average number and variance of proteins, in the few to tens of copies, in isolated cellular compartments such as organelles and protein complexes. Other currently available protein quantification techniques either provide an average number, but lack information on the variance, or they are not suitable for reliably counting proteins present in the few to tens of copies. This protocol entails labeling of the cellular compartment with fluorescent primary-secondary antibody complexes, total internal reflection fluorescence microscopic imaging of the cellular compartment, digital image analysis and deconvolution of the fluorescence intensity data. A minimum of 2.5 d is required to complete the labeling, imaging and analysis of a set of samples. As an illustrative example, we describe in detail the procedure used to determine the copy number of proteins in synaptic vesicles. The same procedure can be applied to other organelles or signaling complexes.     

Compartmental models for human iodine metabolism

Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field. The review first presents published submodels for the peripheral distribution of inorganic iodine, for the thyroidal iodide trapping function, and for the peripheral distribution and metabolism of the thyroid hormones. Approaches to improving understanding of the physiology of the thyroid gland itself through compartmental modeling techniques are then discussed in more detail. The three submodels described above are incorporated into overall models of thyroid iodine metabolism after being simplified to various degrees. Previously published models for thyroid-gland radioiodine metabolism, as well as current work in progress, are illustrated by attempting to fit the models to data from a single (previously unpublished) detailed prolonged ¹²⁵I feeding experiment in a normal human subject. Published thyroid gland models reviewed include: (1) the usual presentation, where the thyroid is a single homogeneous iodine compartment; (2) the model of DeGroot and colleagues, where thyroidal iodine is presented as MIT, DIT, T3, and T4, each with an active and linked storage compartment; (3) the thyroid model developed by Berman and colleagues, with less chemical subcategorization but incorporating a delay compartment, in which a fraction of the iodinated material in the thyroid is partially or completely inaccessible to secretion during the delay; and the later updating of Berman's model to include a thyroidal iodide recirculation pool. The experimental data presented fits most of these models for the first 1–2 weeks, but the fit could not be extended to longer data collection times. To overcome this shortcoming, a new thyroid gland model is introduced. It is based on the latest Berman model but describes thyroglobulin metabolism as incorporating multiple delay compartments of various time periods. The overall fit of the long term data is better with this model construct than with any of the published models. It appears that a complex thyroidal substructure, such as that of the multidelay model under development, will be required to account for overall thyroid iodine metabolism as isotopic equilibrium in man is approached.     

QUANTIFICATION OF ENTRY INTO AND EXIT FROM THE CELL CYCLE IN HUMAN LYMPHOCYTE CULTURES

A mathematical model is presented for the analysis of transition between cycling and non-cycling compartments by cells responding to a growth stimulus. the cellular age distribution as a function of time is derived from sequential [³H]thymidine pulse labeling indices. Rates of entry into and exit from the cycling compartment are determined on the basis of labeling indices obtained after instantaneous and long duration [³H]thymidine pulses. Analysis of an experiment involving sequential measurements over the whole lifespan of a human lymphocyte culture stimulated by phytohemagglutinin is presented as an example of the application of this method.     

A kinetic model of coronary reactive hyperemic response to transient ischemia

A kinetic model is proposed to delineate the factors that determine the coronary reactive hyperemic response (RHR) to transient ischemia. The model comprises of myocardial-interstitial (M) and vascular (V) compartments. Vasodilator metabolites (VM) are produced in the M compartment during the interval of coronary occlusion. The rate of VM production is dependent on the flow rate during the ischemic period, the ratio of excess flow above the control level (R) to the loss of flow during occlusion period (D), the amount of oxygen stored and the degree of vasodilation in the V compartment prior to occlusion. Following a complete release of occlusion, VM are transported from the M to V compartment and are washed out or degraded with time. The time course of RHR is determined by the coronary patency which is proportional to VM concentration in the V compartment. Based on a set of numerical constants, the model is tested by simulating RHR to the various occlusion manoeuvres: a pair of 10 sec occlusions separated by brief release, a 15 sec release followed by a second brief occlusion, a brief release of an occlusion followed by restriced inflow and a period of restricted inflow after occlusion. The simulated results fit the experimental R/D and RH durations data of canine hearts. Factors that determine the impairment of RH capacity in coronary stenosis are suggested in terms of the model scheme.     

A simple centrifugal dehydration force method to characterize water compartments in fresh and post-mortem fish muscle

A centrifugal dehydration force (CDF) method to quantify changes in tissue hydration in fresh and in post-mortem muscular fish tail tissue is presented. The data obtained were used to assess fluid flow rate from tissues and the size of hydration compartments expressed in g water/g dry mass (DM). Curve fit analysis demonstrated that muscle tissue has three detectable water compartments. Application of the method to the fresh fish indicated the presence of a large non-bulk water compartment (3.14 g water/g DM) with a much smaller (0.11 g water/g DM) inner non-bulk water sub-compartment in addition to a comparatively small bulk water compartment (0.99 g water/g DM). At 10 min and at 4h post-mortem, no significant change in size or flow rate of the water compartments was observed. At 24h post-mortem the muscular fish tissue, stored in water, swelled with statistically significant increase in total water and in the bulk water compartment but no significant change in the size of the non-bulk water compartments. The water flow rate from the non-bulk water compartment was, however, increased significantly in the 24h dead tissue. This simple CDF method has application for quantization of bulk and non-bulk water compartments in other biological and non-biological systems.     

The discrete-time kinetic model analysis of DNA content distributions in experimental tumour cells.

A method was developed to analyse and characterize FMF measurements of DNA content distribution, utilizing the discrete time kinetic (DTK) model for cell kinetics analysis. The DTK model determines the time sequence of the cell age distribution during the proliferation of a tumor cell population and simulates the distribution pattern of the DNA content of cells in each age compartment of the cell cycle. The cells in one age compartment are distributed and spread into several compartments of the DNA content distribution to allow for different rates of DNA synthesis and instrument dispersion effects. It is assumed that the DNA content of cells in each age compartment has a Gaussian distribution. Thus, for a given cell age distribution the DNA content distribution depends on two parameters of the cells in each age compartment: the average DNA content and its coefficient of variation. As the DTK model generates the best fit DNA content distribution to the FMF measurement data, it enables one to estimate specific values of these two parameters in each stage of the cell cycle and to determine the fraction of cells in each cycle phase. The method was utilized to fit FMf measurements of DNA content distributions and to analyse their relationship tothe cell kinetic parameters, namely cell loss rate, cell cycle times and grwoth graction of exponentially growing Chinese hamster ovary cells in vitro and, also, with a wide range of coeffficients of variation, of the L1210 ascites tumour during the growth period.     

THE DISCRETE–TIME KINETIC MODEL ANALYSIS OF DNA CONTENT DISTRIBUTIONS IN EXPERIMENTAL TUMOUR CELLS

A method was developed to analyse and characterize FMF measurements of DNA content distribution, utilizing the discrete time kinetic (DTK) model for cell kinetics analysis. The DTK model determines the time sequence of the cell age distribution during the proliferation of a tumor cell population and simulates the distribution pattern of the DNA content of cells in each age compartment of the cell cycle. The cells in one age compartment are distributed and spread into several compartments of the DNA content distribution to allow for different rates of DNA synthesis and instrument dispersion effects. It is assumed that the DNA content of cells in each age compartment has a Gaussian distribution. Thus, for a given cell age distribution the DNA content distribution depends on two parameters of the cells in each age compartment: the average DNA content and its coefficient of variation. As the DTK model generates the best fit DNA content distribution to the FMF measurement data, it enables one to estimate specific values of these two parameters in each stage of the cell cycle and to determine the fraction of cells in each cycle phase. The method was utilized to fit FMF measurements of DNA content distributions and to analyse their relationship to the cell kinetic parameters, namely cell loss rate, cell cycle times and growth fraction of exponentially growing Chinese hamster ovary cells in vitro and, also, with a wide range of coefficients of variation, of the L1210 ascites tumour during the growth period.     

Nucleolar morphology and cell proliferation kinetics of thymic lymphocytes

Proliferation kinetics of cells of the lymphocytic series were studied in mouse thymuses using ³H-methyl-thymidine (³H-TdR) as a tracer of DNA synthesis and employing autoradiographic technique. Cells were allocated arbitrarily to several compartments according to their degree of maturity and nucleolar morphology. Serial sampling after continuous ³H-TdR injection showed that thymic cells of the lymphocytic series constitute a small highly proliferating pool that feeds into a large nonproliferating pool. Lymphoblasts with dense and trabeculate nucleoli and prolymphocytes with trabeculate nucleoli represent multiplicative compartments and belong to the proliferating pool. A fraction of multiplicative precursors enters a ‘dormant’ state and these immature lymphocytes are morphologically characterized by ring-shaped nucleoli. Multiplicative compartments and non-dividing compartments of immature lymphocytes differ significantly in labeling indices, kinetics of labeling in serial samples and in other kinetic parameters, namely in the efflux from the unlabeled pool, labeling increment and efflux from the labeled pool. Serially connected compartments of lymphoblasts with dense and trabeculate nucleoli, prolymphocytes with trabeculate nucleoli and mature lymphocytes, represent the main stream of cell differentiation and maturation. At least a portion of mature lymphocytes proceeds during maturation from the compartment of cells with trabeculate nucleoli to the compartment of cells with ring-shaped nucleoli. The presence of proliferating and ‘dormant’ precursors suggests that lymphopoiesis in thymuses may correspond to the advantaged logarithmic system of multiplication.     

A rapid method for assessing the distribution of gold labeling on thin sections.

Particulate gold labeling on ultrathin sections is in widespread use for antigen localization at the EM level. To extend the usefulness of gold labeling technology, we are evaluating different methods for sampling and estimating quantities of gold labeling. Here we present a simple, rapid, and unbiased method for assessing the relative pool sizes of immunogold labeling distributed over different cell compartments. The method uses a sampling approach developed for stereology in which a regular array of microscopic fields or linear scans is positioned randomly on labeled sections. From these readouts, gold particles are counted and assigned to identifiable cell structures to construct a gold labeling frequency distribution of those labeled compartments. Here we use ultrathin cryosections labeled for a range of different proteins and for a signaling lipid. We show by scanning labeled sections at the electron microscope that counting 100-200 particles on each of two grids is sufficient to obtain a reproducible and rapid assessment of the pattern of labeling proportions over 10-16 compartments. If more precise estimates of labeling proportions over individual compartments are required (e.g., to achieve coefficients of error of 10-20%), then 100-200 particles need to be counted over each compartment of interest.     

A multicompartmental model of fluid-phase endocytosis in rabbit liver parenchymal cells.

Fluid-phase endocytosis was studied in isolated rabbit liver parenchymal cells by using 125I-poly(vinylpyrrolidone) (PVP) as a marker. First, uptake of 125I-PVP by cells was determined. Also, cells were loaded with 125I-PVP for 20, 60 and 120 min, and release of marker was monitored for 120-220 min. Then we used the Simulation, Analysis and Modeling (SAAM) computer program and the technique of model-based compartmental analysis to develop a mechanistic model for fluid-phase endocytosis in these cells. To fit all data simultaneously, a model with three cellular compartments and one extracellular compartment was required. The three kinetically distinct cellular compartments are interpreted to represent (1) early endosomes, (2) a prelysosomal compartment equivalent to the compartment for uncoupling of receptor and ligand (CURL) and/or multivesicular bodies (MVB), and (3) lysosomes. The model predicts that approx. 80% of the internalized 125I-PVP was recycled to the medium from the early-endosome compartment. The apparent first-order rate constant for this recycling was 0.094 min-1, thus indicating that an average 125I-PVP molecule is recycled in 11 min. The model also predicts that recycling to the medium occurs from all three intracellular compartments. From the prelysosomal compartment, 40% of the 125I-PVP molecules are predicted to recycle to the medium and 60% are transferred to the lysosomal compartment. The average time for recycling from the prelysosomal compartment to the medium was estimated to be 66 min. For 125I-PVP in the lysosomal compartment, 0.3%/min was transferred back to the medium. These results, and the model developed to interpret the data, predict that there is extensive recycling of material endocytosed by fluid-phase endocytosis to the extracellular environment in rabbit liver parenchymal cells.     

Molecular mechanism of opioid receptor selection

Preferred conformations, orientations, and accumulations of 26 opioid peptides on lipid membranes were estimated and compared with pharmacologic and selective binding data taken from the literature. Interaction with mu-receptors was governed by the net positive charge effective at the message domain of the agonist peptides z(eff) as the Boltzmann term ez(eff) that determines relative accumulation on anionic biologic membranes. Selection for delta-receptors was reduced by z(eff) and correlated with e-z(eff). Selection for kappa-receptors was governed by the peptide amphiphilic moment A. A pronounced scalar magnitude A and almost perpendicular orientation of the N-terminal message domain as an alpha-helix were favorable for kappa-site selection. Potencies as kappa-agonists and binding affinities correlated with A X ez(eff). The classical site selectivity caused by the receptor requirements for a complementary fit of the agonist to the discriminator site is thus crucially supplemented by a selection mechanism based on peptide membrane interactions (membrane requirements). In the model presented here, the delta-site is exposed to the aqueous compartment surrounding the target cell at a distance comparable to or greater than the Debye-Hückel length and is in a cationic vicinity. The mu-site is exposed to the anionic fixed-charge compartment of the membrane in aqueous surroundings. The kappa-site is buried in a more hydrophobic membrane compartment close to the fixed-charge compartment. The relative accumulation of the opioid message domains in these compartments is determined by the address domains and constitutes a major part of the site selection mechanism.(ABSTRACT TRUNCATED AT 250 WORDS)     

Localization of the Lys, Asp, Glu, Leu tetrapeptide receptor to the Golgi complex and the intermediate compartment in mammalian cells

The carboxyl-terminal Lys-Asp-Glu-Leu (KDEL), or a closely-related sequence, is important for ER localization of both lumenal as well as type II membrane proteins. This sequence functions as a retrieval signal at post-ER compartment(s), but the exact compartment(s) where the retrieval occurs remains unresolved. With an affinity-purified antibody against the carboxyl-terminal sequence of the mammalian KDEL receptor, we have investigated its subcellular localization using immunogold labeling on thawed cryosections of different tissues, such as mouse spermatids and rat pancreas, as well as HeLa, Vero, NRK, and mouse L cells. We show that rab1 is an excellent marker of the intermediate compartment, and we use this marker, as well as budding profiles of the mouse hepatitis virus (MHV) in cells infected with this virus, to identify this compartment. Our results demonstrate that the KDEL receptor is concentrated in the intermediate compartment, as well as in the Golgi stack. Lower but significant labeling was detected in the rough ER. In general, only small amounts of the receptor were detected on the trans side of the Golgi stack, including the trans- Golgi network (TGN) of normal cells and tissues. However, some stress conditions, such as infection with vaccinia virus or vesicular stomatitis virus, as well as 20 degrees C or 43 degrees C treatment, resulted in a significant shift of the distribution towards the trans- TGN side of the Golgi stack. This shift could be quantified in HeLa cells stably expressing a TGN marker. No significant labeling was detected in structures distal to the TGN under all conditions tested. After GTP gamma S treatment of permeabilized cells, the receptor was detected in the beta-COP-containing buds/vesicles that accumulate after this treatment, suggesting that these vesicles may transport the receptor between compartments. We propose that retrieval of KDEL- containing proteins occurs at multiple post-ER compartments up to the TGN along the exocytotic pathway, and that within this pathway, the amounts of the receptor in different compartments varies according to physiological conditions.