An alternative to allosteric interactions as causes of sigmoid dose versus response curves. Application to glucose-induced secretion of insulin.

It is shown that a sigmoid dose vs. response curve will occur in any biological system in which the stimulant compound must diffuse significant distances to reach responding cells, even when the cells themselves respond according to Michaelis-Menten kinetics. Isolated pancreatic islets releasing insulin in response to glucose stimulation have been used as a specific example. Since diffusion and/or other physical processes can produce global effects which could account for the sigmoidal nature of a dose vs. response curve, the existence of complex molecular mechanisms of hormone-receptor interaction can not be inferred solely from the character of a dose vs. response relation.     

Distinct role of neonatal and adult monocytes in the regulation of the in vitro antigen-induced plaque-forming cell response in man

Mononuclear cells from human cord blood (CBMC) are able to mount an antigen-specific IgM plaque-forming cell (PFC) response after primary in vitro stimulation with the T cell-dependent antigen ovalbumin (OA). The antigen dose-response relationship for the induction of PFC in cultures of CBMC is represented by a bell-shaped curve comparable to that found for mononuclear cells from adult peripheral blood (adult PBMC). The dose of OA optimal for the induction of a response in cultures of CBMC consistently, however, is 100-fold lower than the antigen dose optimal for adult PBMC (0.03 microgram OA/ml vs 3.0 micrograms OA/ml). Results obtained from co-culture experiments in which semiallogeneic combinations of parental/neonatal lymphocytes and monocytes were stimulated with a variable dose of OA indicate that the adherent cell (AC) plays a pivotal role in the establishment of the optimum antigen dose. From experiments using antigen-pulsed AC, it was concluded that neonatal and adult AC differ in their antigen handling capacity. In the presence of the prostaglandin synthetase inhibitor indomethacin the antigen dose-response relationship for the induction of PFC in cultures of CBMC shifts to an "adult type" of curve. From pulsing experiments it emerges that indomethacin affects the interaction between antigen and monocytes. Indomethacin causes an enhancement of the expression of HLA-DR at the surface of neonatal as well as adult AC; this can be down regulated by the addition of prostaglandin E2 (PGE2). The addition of PGE2 to cultures of adult PBMC leads to a shift of the optimal antigen dose for induction of PFC toward lower concentrations. Although higher levels of PGE2 were measured in the supernatant of cultured neonatal AC compared with adult AC, it seems unlikely that this observation can explain the distinct antigen dose-response relationship for the induction of a PFC response in cultures of CBMC.     

Differential proliferative responses of cultured Schwann cells to axolemma- and myelin-enriched fractions. I. Biochemical studies

Cultured rat Schwann cells were treated for 72 h with axolemma- and myelin-enriched fractions prepared from rat brainstem. [3H]Thymidine was added to the cultures 48 h before the termination of the experiment. Although, both fractions produced a dose-dependent uptake of label into Schwann cells, the shape of the dose response curves and rates at which [3H]thymidine was incorporated were different. The axolemma-enriched fraction produced a sigmoid dose response curve with a Hill coefficient of 2.05. The dose response curve for myelin rose sharply and saturated at a level that was approximately 50% of the maximal response observed with axolemma. Schwann cells that had been treated with axolemma exhibited little change in the rate of [3H]thymidine incorporation from 36-72 h after the addition of the membranes. In contrast, Schwann cells accumulated label three times faster during the 48-72-h period following the addition of myelin to the cultures when compared with the rate during the preceding 12-h interval. Furthermore, the mitogenic activity of the myelin-enriched fraction was decreased by the addition of ammonium chloride, a lysosomal inhibitor, whereas the activity of the axolemmal fraction was not impaired.     

The reproducibility of the plasma response to a physiological dose of zinc in healthy subjects

Zinc absorption may be estimated by measuring the area under the plasma zinc curve following the ingestion of a zinc supplement. The aim of this study is to determine the reproducibility of such a response when a small dose of zinc is administered to healthy volunteers. Five female subjects were asked to consume 4.5 mg elemental zinc, and blood samples were obtained at 30 min intervals for 5 h. The experiment was repeated in the same volunteers 12–16 d later. The area under the plasma zinc curve was 30% lower after the second zinc tolerance test compared with the first (11.0 vs 15.8 μmol/1 h). This difference could not be explained by differences in the fasting plasma zinc levels (12.9 μmol/L Experiment one, 15.1 μmol/L Experiment 2) nor was it related to technical or clinical parameters. The area under the curve after 5 h was strongly correlated with the response after 4 h. Hence we conclude that a small dose of zinc can be used to determine zinc absorption and a shorter experimental period may be used. However, trials must be designed to take into account the sequence variability in the response.     

A Strategy to Model Nonmonotonic Dose-Response Curve and Estimate IC50

The half-maximal inhibitory concentration IC is an important pharmacodynamic index of drug effectiveness. To estimate this value, the dose response relationship needs to be established, which is generally achieved by fitting monotonic sigmoidal models. However, recent studies on Human Immunodeficiency Virus (HIV) mutants developing resistance to antiviral drugs show that the dose response curve may not be monotonic. Traditional models can fail for nonmonotonic data and ignore observations that may be of biologic significance. Therefore, we propose a nonparametric model to describe the dose response relationship and fit the curve using local polynomial regression. The nonparametric approach is shown to be promising especially for estimating the IC of some HIV inhibitory drugs, in which there is a dose-dependent stimulation of response for mutant strains. This model strategy may be applicable to general pharmacologic, toxicologic, or other biomedical data that exhibits a nonmonotonic dose response relationship for which traditional parametric models fail.     

Estimating LD50s without a computer

Quantitative analysis of dose-related effects, such as mosquitoes killed by insecticide or parasites killed by a drug, usually involves estimating the dose which kills, on average, 50% of the subjects. This quantity is often termed the LD(50) (LD for lethal dose), or the ED(50) (ED for effective dose). Other specified response levels, such as the LD(90) - the dose that kills 90% of subjects - may also be derived. Dose-related effects of this type follow an S-shaped curve because, clearly, doses lower than those giving zero response will also give zero response, while at the other end of the curve, doses above those giving a maximum response can also only give a maximum response. In other words the curve flattens out at both ends. The mathematics of fitting a suitable S-shaped curve to such data - for example by probit analysis - is quite simple in principle but can be arduous and time-consuming without a suitably programmed computer. In this article, Michael Healy explains an alternative approach which is particularly applicable to field observations where computers are unavailable.     

Comparison of cytogenic response of human lymphocytes to in vivo and in vitro exposure to low doses of gamma-rays. Unstable chromosomal exchanges detected by FPG techniques

On peripheral lymphocytes of eight cancer patients undergone whole-body therapeutic irradiation (at daily dose of 10 cGy up to total dose of 50 cGy of 60Co gamma-rays) the dose-response of unstable chromosome exchanges (dicentrics and centric rings) was studied. This dose response fitted well linear function. The lower slope of dose-response curve was found for in vivo irradiated lymphocytes as compared to the dose response curve obtained for in vitro irradiated lymphocytes of the same patients. This finding seems to provide evidence that in case of protracted irradiation of individuals an absorbed dose could be underestimated if for biological dosimetry an in vitro dose response curve for unstable chromosome aberrations is used as referent one.     

Effect of fractionation and rate of radiation dose on human leukemic cells, HL-60

The capacity of HL-60 cells, human acute promyelocytic leukemic cells established in culture, to repair sublethal radiation damage was estimated from the response of the cells to fractionated irradiation or to a single irradiation at different dose rates. The HL-60 cells grown as a suspension culture in RPMI 1640 medium supplemented with 10% calf serum and antibiotics showed a cloning efficiency of about 0.46 in an agar culture bed. After exposure of cells to a single dose of X rays at a dose rate of 78 rad/min, the survival curve was characterized by n = 2.5, Dq = 80 rad, and D0 = 83.2 rad. Split-dose studies demonstrated that the cells were able to repair a substantial portion of sublethal radiation damage in 2 hr. The response of the cells to irradiation at different dose rates decreased with a decrease in the dose rates, which could be attributed to repair of sublethal radiation damage. The radiation response of leukemic cells is only one of the many factors which affect the clinical outcome of total-body irradiation (TBI) followed by bone marrow transplantation. Nevertheless, the possibility that some of the malignant hemopoietic cells, if not all, may possess a substantial capacity to repair sublethal radiation damage should not be underestimated in planning total-body irradiation followed by bone marrow transplantation.     

Model of accelerated carcinogenesis based on proliferative stress and inflammation for doses relevant to radiotherapy

Recent findings demonstrate that accelerated carcinogenesis following liver regeneration is associated with chronic inflammation-induced double-strand DNA breaks in cells, which escaped apoptosis due to proliferative stress. In this work, proliferative stress and inflammation-based carcinogenesis at large dose were included in a cancer induction model considering fractionation. At large dose, tissue injury due to irradiation could be so severe that under the regenerative proliferative stress induced by cell loss, the genomic unstable cells generated during irradiation and/or inflammation escape senescence or apoptosis and reenter the cell cycle, triggering enhanced carcinogenesis. This acceleration—modeled to be proportional to the number of repopulated cells—is only significant, however, when tissue injury is severe and thus proportional to the cell loss in the tissue. The general solutions to the resulting differential equations for carcinoma induction were computed. In case of full repopulation or acute low-dose irradiation, the acceleration term disappears from the equation describing cancer induction. The acceleration term is affecting the dose–response curve for carcinogenesis only at large doses. An example for bladder cancer is shown. An existing model for cancer induction after fractionated radiotherapy which is based on cell mutations was extended here by including the effects of inflammation and proliferative stress, and an additional model parameter was established which describes acceleration. The new acceleration parameter affects the dose–response model only at large dose and is only effective when the tissue is not capable of fully repopulating between dose fractions.     

Radiosensitivity of the helper cell function.

The helper function of T cells primed and irradiated in vivo was tested in vitro by the Mishell-Dutton technique. Spleen cells from mice carrier-primed with HRBC and exposed to 50 to 2000 rads of x-radiation were assayed for their ability to help syngeneic normal spleen cells to mount an in vitro anti-hapten antibody response after stimulation with the conjugate TNP-HRBC. The anti-TNP response was evaluated by the Jerne technique. The helper activity was titrated by adding graded numbers of carrier-primed spleen cells to a constant number of normal spleen cells. The slope of the initial linear portion of the response-cell dose titration curve was taken as an estimated of the helper activity and found to decrease with increasing the x-ray dose. The curve describing the remaining helper activity as a function of the radiation dose shows the presence of two components, one radiosensitive, the other, radioresistant. This suggests the existence either of helper cells at different stages of activation or of two cell subpopulations participating in the helper function.     

The Mechanical Characteristics of Human Endothelial Cells in Response to Single Ionizing Radiation Doses By Using Micropipette Aspiration Technique

The mechanical properties of living cells are known to be promising biomarkers when investigating the health and functions of the human body. Ionizing irradiation results in vascular injury due to endothelial damage. Thus, the current study objective was to evaluate the influence of continuous radiation doses on the mechanical properties of human umbilical vein endothelial cells (HUVECs), and to identify Young’s modulus (E) and viscoelastic behavior. Single-dose (0, 2, 4, 6, and 8 Gy) radiation was applied to HUVECs using a Cobalt-60 treatment machine in the current vitro irradiation study. Thereafter, a micropipette-aspiration technique was used to measure the elastic modulus of the HUVECs in control and radiation-induced samples. Confocal imaging was then performed for following of the cytoskeletal reorganization of the HUVECs in response to the different radiation doses. Significant enhanced adhesion of the elastic modulus of the HUVECs was observed. The dose value was seen to increase from 0 Gy to 8 Gy. A linear relationship was observed between the 0 Gy and 8 Gy doses following an examination of the dose-response curve for elastic modulus after irradiation. The correlation coefficient was found to be 0.955 and the sensitivity of the dose-elastic modulus to be 7.69 Pa..Gy-1 following analysis of the linear portion of the response curve. Also, a significant increment in stiffness accompanied with the considerable drop in creep compliance curve was detected in radiation-induced groups. Biomechanics-based analysis can provide a platform from which to assess the response of the endothelium to radiation when studying vascular system behavior during the cancer therapy process.     

In vitro responses of rat lymphocytes following adult thymectomy. II. Increased inhibition by splenic adherent cells of responses to phytohemagglutinin

Adult thymectomy in rats results in a marked fall of spleen cell responsiveness to PHA over a period of days to weeks. Examination of dose-response curves showed that, with high PHA dose or ≥ 10⁶ cells/ml, there is a profound inhibition of the response with spleen cells from thymectomized animals compared with cells of matched sham-operated controls. However, when adherent cells are removed from the cell suspensions, the remaining nonadherent cells give an almost linear dose-response relationship with increasing PHA similar to that exhibited by the nonadherent cells of the controls or sometimes a slightly decreased response. Similarly, when increasing numbers of spleen cells from these animals are cultured (with admixed thymocytes to make a constant total of 2 × 10⁶ cells/ml) with PHA, the linear portion of the doseresponse curve can be extrapolated to give a similar value for the maximal potential response, which again is the same as or somewhat less than the corresponding value for sham-operated controls. A difference in inhibitory capacity is also shown in mixtures of the two spleen cell populations with LNC or with purified spleen cells. It is concluded that adult thymectomy results in increased “suppressor” activity in the spleen within a few days and may reduce slightly the number of T lymphocytes in the spleen reactive with PHA.     

Elimination of MNU-induced mutational lesions in V79 Chinese hamster cells

Studies were performed on the non-linear dose response for gene mutations induced by low doses of monofunctional methylating agents in V79 Chinese hamster cells. When treatment with methylnitrosourea was applied at the beginning of the S phase in synchronized cells, a linear dose-response curve was obtained, whereas application of the dose after gene replication resulted in a strong reduction of the number of induced mutations. Additional time for repair resulted in reduced dose response of MNU, indicating that an error-free repair process operates on methylated DNA in V79 Chinese hamster cells.     

The nature of unbalanced cell growth caused by cytotoxic agents

The volume of cells grown in tissue culture following exposure to a wide variety of cytotoxic drugs or x-rays increases at a rate of 1 to 10% of cell mass per hour. The same phenomenon is seen in animal neoplasias and human leukemias. This increase in cell volume is the result of unbalanced cell growth with a resulting disproportionate synthesis of proteins and possibly other macromolecules in the cytoplasm and nucleus. The dose response curve for a decrease in cell survival as measured by cloning efficiency in tissue culture is quantitatively correlated with the dose response curve for inducing an increase in cell volume. This quantitative relationship makes feasible the use of the phenomenon of unbalanced cell growth as a measure of cell death in screening for cytotoxic drugs or in monitoring response to therapy. An hypothesis to explain this increase in cell volume following chemotherapy is that cells are by the action of these drugs induced into an abortive or unbalanced pseudo-cycle which is characterized by synthesis of substantial amounts of protein without other preparative steps for cell division.     

Comparison of dose response functions for EBT3 model GafChromic™ film dosimetry system

ObjectiveDifferent dose response functions of EBT3 model GafChromic™ film dosimetry system have been compared in terms of sensitivity as well as uncertainty vs. error analysis. We also made an assessment of the necessity of scanning film pieces before and after irradiation.MethodsPieces of EBT3 film model were irradiated to different dose values in Solid Water (SW) phantom. Based on images scanned in both reflection and transmission mode before and after irradiation, twelve different response functions were calculated. For every response function, a reference radiochromic film dosimetry system was established by generating calibration curve and by performing the error vs. uncertainty analysis.ResultsResponse functions using pixel values from the green channel demonstrated the highest sensitivity in both transmission and reflection mode. All functions were successfully fitted with rational functional form, and provided an overall one-sigma uncertainty of better than 2% for doses above 2 Gy. Use of pre-scanned images to calculate response functions resulted in negligible improvement in dose measurement accuracy.ConclusionAlthough reflection scanning mode provides higher sensitivity and could lead to a more widespread use of radiochromic film dosimetry, it has fairly limited dose range and slightly increased uncertainty when compared to transmission scan based response functions. Double-scanning technique, either in transmission or reflection mode, shows negligible improvement in dose accuracy as well as a negligible increase in dose uncertainty. Normalized pixel value of the images scanned in transmission mode shows linear response in a dose range of up to 11 Gy.     

Comparison of cytogenetic response of human lymphocytes to in vivo and in vitro exposure to low-dose gamma rays. Translocations and dicentrics detected by the FISH technique

On peripheral lymphocytes of 5 cancer patients undergone wholebody therapeutic irradiation (at daily dose of 10 cGy up to total dose 50 cGy of 60Co gamma-rays) the dose response of unstable and stable chromosomal exchanges detected by FISH was compared with the dose response of the some aberrations in lymphocytes irradiated in vitro. The dose response fitted well to linear function. For dicentrics the lower slope of dose-response curve was found for in vivo irradiated lymphocytes as compared to the dose-response curve obtained for in vitro irradiated lymphocytes of the same patients. No difference between in vivo and in vitro irradiation of lymphocytes was found for translocations. The frequency of translocations increased faster with the dose than the frequency of dicentrics only in lymphocytes irradiated in vivo.     

Nonmonotonous metabolic response of mammalian cells and tissues to ionizing radiation

Changes in the activity of ornithindecarboxylase in various tissues and in the amount of catecholamine in rat hypothalamus by the action of acute and chronic ionizing radiation were studied. A nonmonotonous relationship between the metabolic parameters of animal tissues and cells and the radiation dose was revealed. It was assumed that the nonmonotonous character of the dose-response dependence results from the nonmonotonous time course of the metabolic response to irradiation. It was also assumed that living systems have the property of responding to stress agents by nonmonotonous changes in metabolism. In the case of acute irradiation, this response manifests itself as oscillations of metabolic parameters about the control. The oscillations occur with a particular amplitude and periods, which vary with radiation dose, and damp out with time. As a result, in a fixed time interval, the dose-response curve may be nonmonotonous. Reverse dose-response relationships are also possible. In the case of chronic irradiation, the metabolic and functional parameters oscillate throughout irradiation time, and a modification of the response occurs. A prolong exposure to ionizing radiation causes strong changes in the metabolism of lipids of cell membranes, organelles and chromatin, as well as in the functional properties of some mammalian cells and tissues. The necessity of constructing quantitative models for explaining the nonmonotonous dose-response dependence is discussed.     

Anti-proliferative effect of IFN-gamma in immune regulation. II. IFN-gamma inhibits the proliferation of murine bone marrow cells stimulated with IL-3, IL-4, or granulocyte-macrophage colony-stimulating factor

A biphasic dose response curve was observed when the bone marrow-derived cell line FDCP1, used as an indicator line for IL-3 bioassays, was exposed to supernatants from some activated T cell clones but not others. The active component which inhibited proliferation at the higher supernatant concentrations appeared to be IFN-gamma, based on the following observations. 1) Only those culture supernatants which contained IFN-gamma gave a biphasic dose response curve; 2) with these supernatants, an anti-IFN-gamma mAb augmented the proliferation of FDCP1 cells at the higher supernatant concentrations; and 3) rIFN-gamma profoundly inhibited the proliferation of FDCP1 cells stimulated with rIL-3 or rIL-4. rTNF-alpha inhibited FDCP1 proliferation only to a modest extent, yet the combination of rTNF-alpha + rIFN-gamma provided greater inhibition than each agent alone. The proliferation of a second bone marrow-derived cell line, DA1, was not inhibited by rIFN-gamma or rIFN-gamma + rTNF-alpha when stimulated with rIL-3 or recombinant granulocyte-macrophage colony-stimulating factor (rGM-CSF). Fresh bone marrow cells also showed a suboptimal proliferative response when stimulated with T cell supernatants containing IFN-gamma, and this response was augmented considerably upon the addition of anti-IFN-gamma mAb. Bone marrow cell proliferation was observed upon exposure to rIL-3, rIL-4, or rGM-CSF, and these responses were inhibited by rIFN-gamma; rTNF-alpha also produced a synergistic effect with these cells. Bone marrow cell colony formation stimulated by rIL-3 or rGM-CSF also was inhibited by rIFN-gamma. Colony formation in bone marrow cell cultures was not observed in response to rIL-4. Collectively, these results suggest that Th1 cells, which in addition to IL-3 and GM-CSF also produce IFN-gamma, may regulate hemopoietic cell proliferation and colony formation differently from the way Th2 cells do, which do not produce IFN-gamma.     

Two distinct signaling pathways participate in auxin-induced swelling of pea epidermal protoplasts

Protoplast swelling was used to investigate auxin signaling in the growth-limiting stem epidermis. The protoplasts of epidermal cells were isolated from elongating internodes of pea (Pisum sativum). These protoplasts swelled in response to auxin, providing the clearest evidence that the epidermis can directly perceive auxin. The swelling response to the natural auxin IAA showed a biphasic dose response curve but that to the synthetic auxin 1-naphthalene acetic acid (NAA) showed a simple bell-shaped dose response curve. The responses to IAA and NAA were further analyzed using antibodies raised against ABP1 (auxin-binding protein 1), and their dependency on extracellular ions was investigated. Two signaling pathways were resolved for IAA, an ABP1-dependent pathway and an ABP1-independent pathway that is much more sensitive to IAA than the former. The response by the ABP1 pathway was eliminated by anti-ABP1 antibodies, had a higher sensitivity to NAA, and did not depend on extracellular Ca(2+). In contrast, the response by the non-ABP1 pathway was not affected by anti-ABP1 antibodies, had no sensitivity to NAA, and depended on extracellular Ca(2+). The swelling by either pathway required extracellular K(+) and Cl(-). The auxin-induced growth of pea internode segments showed similar response patterns, including the occurrence of two peaks in the dose response curve for IAA and the difference in Ca(2+) requirements. It is suggested that two signaling pathways participate in auxin-induced internode growth and that the non-ABP1 pathway is more likely to be involved in the control of growth by constitutive concentrations of endogenous auxin.