The probability of contact between the immunocompetent cell and antigen

The present work is an attempt to make a mathematical formulation of the first part of a well-known hypothesis (Šterzl, 1967) dealing with the course of differentiation of an immunocompetent cell into an antibody-producing cell, namely with the early event—the contact between the cell and antigen. The probability of an event, namely that during the given time interval the contact between the immunocompetent cell and antigen will take place, was studied. The corresponding probability distribution depends substantially on the function describing the fate of antigen following its injection into the organism and further, on the amount of active antigen that is present in the organism in dependence on the length of time after the antigen injection. In addition to a general formula, formula were even obtained describing one particular important function of the decrease in the amount of antigen (exponential).     

On contacts of immunocompetent cells with antigen (Note on a probability model)

This communication continues with the mathematical formulation and solution of some problems connected with the beginning of the immunological reaction. This paper generalizes some previous results concerning the probability of the event that such a contact of an immunocompetent cell (ICC) with antigen, which is followed by the differentiation of this cell towards the antibody forming cell (AbFC), takes place. Previous papers considered the onset of the differentiation of an ICC caused by the contact of this cell with at least a certain threshold amount of antigen (assuming that these contacts form a non-homogeneous Poisson process). This paper is based on the more general and more realistic assumption thatn such contacts are necessary for the stimulation of ICC differentiation (this new assumption has its origin in some new biological findings on the nature of the contact considered, and corresponds with the idea that the diffentiation of ICC does not begin until the antigen is bound on a certain fixed number of receptors on the cell surface). Under this assumption, the probability of the event that the differentiation of the cell begin at all (i.e. that at leastn contacts will take place), and the probability distribution of the epoch of the beginning of the differentiation (i.e. of the epoch at which thenth contact take place), are derived.— If necessary, these new forms of probability distributions may be used (instead of previous ones) as building stones in models of ICC differentiation.     

On the stability of the cell size distribution

A model for the growth of a size-structured cell population reproducing by fission into two identical daughters is formulated and analysed. The model takes the form of a linear first order partial differential equation (balance law) in which one term has a transformed argument. Using semigroup theory and compactness arguments we establish the existence of a stable size distribution under a certain condition on the growth rate of the individuals. An example shows that one cannot dispense with this condition.     

On the distribution of cell cycle generation times

The problem of whether the cell cycle is a deterministic or probabilistic process is widely discussed in the current literature (P. Nurse, Nature, 286, pp. 9–10, 1980). In this report the question of fluctuations of cell cycle period is treated in the limits of the membrane model of cell division regulation. The parametric analysis of the equations set both for normal and tumour cells is carried out. We describe the bifurcation parameters in the neighbourhood of which the system can amplify the small fluctuations. The presence of white noise in parameters describing the lipids and antioxidants influxes into membrane is examined by methods of Marcovian processes and also by direct stochastic computer simulation. The equation for the distribution function of generation times is obtained and the increase of dispersion and mean cycle time during the changes of those parameters which would be connected with cell culture density is calculated.The influence of parameter fluctuations upon the cycle period for both normal and tumour cells is compared in the framework of model assumptions. The ratio of dispersion of generation time distribution to mean period value for an ensemble of tumour cells is shown to be several times greater than that for normal ones.In the discussion the problem of the presence of a premitotical (G₀₂) resting state and of the possibility of its experimental detection is considered.     

Intranuclear distribution of the human myeloid cell nuclear differentiation antigen in HL-60 cells

Based on solubility properties, the human myeloid cell nuclear differentiation antigen exists as at least two distinct populations. Most is easily extracted from isolated nuclei in 0.35 M NaCl, while 20 percent resists such treatment. Compared to undigested nuclei, both the amount of myeloid cell nuclear differentiation antigen (MNDA) released from nuclei after DNase I treatment and the amount resisting further extraction in 0.35 M NaCl increased after DNA was digested with DNase I. Under these conditions, there was a concomitant decrease in the amount of MNDA that was extractable with 0.35 M NaCl. Mixing nuclear protein extracts that contain MNDA with nuclei from cells that do not express this protein demonstrated that the MNDA redistributes from the freely soluble form to the nuclear residual fraction as a consequence of DNase I digestion. These data are consistent with a model in which the amount of MNDA that is tightly bound to salt-washed nuclei is held constant in the presence of an excess of unassociated MNDA in the nucleus, and that the level of MNDA binding to this nuclear fraction increases in proportion to the extent of DNA damage resulting from DNase I digestion.     

On the mass distribution model for microbial cell populations

The full implications of a statistical model for growth of a microbial cell population using cell mass as the index of physiological state have been examined by solving the partial differential integral equations resulting from the model. Calculations reveal that a lag phase is predicted during the initial stages of batch growth although no specific cellular mechanism for the phenomenon of lag had been incorporated into the model. The model predicts several situations of batch and continuous growth in which the population density and biomass concentration show opposing trends due to significant variation in the cell mass distribution with time.     

Intracellular distribution of calcium and phosphorus during the first cell division of the sea urchin egg

The intracellular distribution of calcium and phosphorus during metaphase and anaphase of the first cleavage in sea urchin eggs was studied with the electron-probe microanalyzer. This study allowed a comparison of the relative concentrations of both elements on the polar and cleavage furrow regions of the membrane and on the mitotic asters and cytoplasm. The results show that in most eggs, both calcium and phosphorus are more highly concentrated in the mitotic asters than in surrounding cytoplasm during both anaphase and metaphase. Calcium is more concentrated at the furrow region than at the polar region during metaphase but not anaphase. The role of calcium during mitosis was reviewed with special reference to the theories on the formation of the cleavage furrow along the equatorial zone between two mitotic centers.     

Possible activation of human prorenin by contact with the cell membrane

Semipurified human kidney prorenin was exposed in vitro to a mixture of lipids mimicking the composition of the inner leaflet of the cell membrane, in the presence of semipurified human angiotensinogen at a concentration of 1/4 Km. Prorenin was activated in a time-dependent manner over a period of 60 min. This lipid-dependent activation was completely reversed thereafter. Pre-incubation with anti-renin serum completely prevented this activated prorenin-dependent generation of angiotensin I. Our data suggest that human prorenin can be reversibly activated by contact with the cell membrane.     

On the phenotype distribution of red cell acid phosphatase in Czechoslovakia

Summary A random group of 300 donors living in the district of eské Budjovice (southern Bohemia) have been investigated for the incidence of the individual phenotypes of red cell acid phosphatase. The calculated frequencies of the genes P^a, P^b and P^c are 0.322, 0.615 and 0.063, respectively.     

Osteogenic cell contact with biomaterials influences phenotype expression

Relationship between (1) osteoblast adhesion and spreading, and (2) phenotype expression was investigated. Cellular adhesion and spreading were estimated after short time (24 h), whereas proliferation and other osteoblast functions – after 7 days. Primary human osteogenic cells were seeded on the samples of titanium (T), surgical steel (S) and tissue culture polystyrene (PS), and incubated at 37 °C. After 24 h a number of samples were stained with crystal violet and Hoechst; the average single cell area (spreading) and adhering cell number was measured on each sample. The remaining cultures were supplemented with dexamethasone (10 nM) and -glycerophosphate (5 mM), and incubation was continued for 7 days. The cells on each sample were counted and the following tests were performed: XTT mitochondrial activity assay, total protein content, alkaline phosphatase activity (ALP), Sirius Red test for collagen, osteocalcin and calcium concentration. After 24 h significantly greater cell spreading (p < 0.05) and number (p < 0.05) were on T than on S. After 7 days significantly higher on T than on S were: ALP activity (p < 0.000001), collagen (p < 0.0015) and calcium concentration (p < 0.03). XTT results were bigger on S than on T. In control – XTT results were higher than on the metals; collagen and ALP were lower than on T, and calcium level was significantly lower than on T and S (p < 0.025). After 7 days there were no differences in cell number between T and S. Cell number (24 h) correlated with ALP activity (7 days) on steel (coefficient of correlation, CC = 0.866) and titanium (CC = 0.742). The spreading correlated on steel and on titanium with calcium concentration (CC = 0.645 on S, CC = 0.696 on T) and collagen level (CC = –0.638 on S, CC = –0.69 on T). Conclusions: Better conditions for osteoblast phenotype expression on T after 7 days of culture coincided with greater adhesion and spreading of cells after 24 h on T, as compared with S. The initial contact of cells with underlying surface may influence osteoblast functions and possibly, bone regeneration and implant osteointegration in vivo. Early cell spreading may be an indicator of further expression of osteoblast phenotype and may be important for application of osteogenic cells in reconstructive surgery.     

Histones are first hyperacetylated and then lose contact with the activated PHO5 promoter

We have analyzed the histone modification status of the PHO5 promoter from yeast by the ChIP technology and have focused on changes occurring upon activation. Using various acetylation-specific antibodies, we found a dramatic loss of the acetylation signal upon induction of the promoter. This turned out to be due, however, to the progressive loss of histones altogether. The fully remodeled promoter appears to be devoid of histones as judged by ChIP analyses. Local histone hyperacetylation does indeed occur, however, prior to remodeling. This can explain the delay in chromatin remodeling in the absence of histone acetyltransferase activity of the SAGA complex that was previously documented for the PHO5 promoter. Our findings shed new light on the nucleosomal structure of fully remodeled chromatin. At the same time, they point out the need for novel controls when the ChIP technique is used to study histone modifications in the context of chromatin remodeling in vivo.     

Profiling TRA-1-81 antigen distribution on a human embryonic stem cell

Human embryonic stem (hES) cells hold great promise in regenerative medicine. Although hES cells have unlimited self-renewal potential, they tend to differentiate spontaneously in culture. TRA-1-81 is a biomarker of undifferentiated hES cells. Quantitative characterization of TRA-1-81 expression level in a single cell helps capture the “turn-on” signal and understand the mechanism of early differentiation. Here, we report on our examination of TRA-1-81 distribution and association on a hES cell membrane using an atomic force microscope (AFM). Our results suggest that aggregated distribution of TRA-1-81 antigen is characteristic for undifferentiated hES cells. We also evaluated the TRA-1-81 expression level at ∼17,800 epitopes and ∼700 epitopes per cell on an undifferentiated cell and a spontaneously differentiated cell, respectively. The method in this study can be adapted in examining other surface proteins on various cell types, thus providing a general tool for investigating protein distribution and association at the single cell level.     

Function and cell distribution of KC-1, a novel natural killer cell-associated antigen

Natural killer (NK) cell have been implicated in immune responses to tumor and viral antigens. We describe here a monoclonal antibody, anti-KC-1, that blocks lysis of NK targets by fresh but not activated NK cells. Anti-KC-1 has no effect on cytotoxic T lymphocyte activity or on antibody-dependent cellular cytotoxicity. This antibody may be useful in the analysis of NK cell activation and the mechanism of lysis.     

Cellular distribution of CD63 antigen in platelets and in three megakaryocytic cell lines

Summary CD63 is a 53 kDa lysosomal membrane glycoprotein that has been identified as a platelet activation molecule. We investigated the localization of CD63 antigen in platelets and in three megakaryocytic cell lines (K562, HEL and CMK11-5) using flow cytometry and immunoelectron microscopy. Flow cytometry showed that a monoclonal antibody directed against CD63 bound to 8.1% of unstimulated platelets and 59.2% of thrombin-stimulated platelets. Immunoelectron microscopy demonstrated that CD63 antigen was distributed randomly inside unstimulated platelets, while it was localized in the open canalicular system of washed platelets and on the cell membranes of thrombin-stimulated platelets. Flow cytometry detected CD63 on 16.4% of HEL cells, 31.2% of K562 cells, and 43.2% of CMK11-5 cells. Immunoelectron microscopy demonstrated that CD63 was localized in the granules and on the surface membranes of HEL cells, in the vesicles and on the membranes of K562 cells, and in the granules and vesicles as well as on the membranes of CMK11-5 cells. Thus, the distribution of CD63 differed markedly among these three megakaryocytic cell lines.