Release of neurotransmitter induced by Ca2+-uncaging: reexamination of the ca-voltage hypothesis for release.

The primacy of Ca2+ in controlling the amount of released neurotransmitter is well established. However, it is not yet clear what controls the time-course (initiation and termination) of release. Various experiments indicated that the time-course is controlled by membrane potential per se. Consequently the phenomenological Ca-Voltage-Hypothesis (CVH) was formulated. The CVH was later embodied in a molecular level mathematical model, whose key predictions were affirmed experimentally. Nonetheless, the single most important basis for the CVH, namely that depolarization per se is needed to induce physiological phasic release, was challenged by two major experimental findings. (i) Release was induced by Ca2+ alone by means of Ca2+-uncaging. (ii) There was at most a small additional effect when depolarization was applied after release was induced by Ca2+-uncaging. Point (i) was dealt with previously, but additional conclusions are drawn here. Here we concentrate on (ii) and show that the experimental results can be fully accounted for by the molecular level CVH model, with essentially the same parameters.

Homeostasis of peripheral immune effectors.

In this paper, we use both mathematical modeling and simulation to explore homeostasis of peripheral immune system effector cells, particularly alveolar macrophages. Our interest is in the distributed control mechanisms that allow such a population to maintain itself. We introduce a multi-purpose simulator designed to study individual cell responses to local molecular signals and their effects on population dynamics. We use the simulator to develop a model of growth factor regulation of macrophage proliferation and survival. We examine the effects of this form of regulation in the context of two competing hypotheses regarding the source of new alveolar macrophages. In one model, local cells divide to replenish the population; in the other, only cells migrating from circulation divide. We find that either scenario is plausible, although the influx-driven system is inherently more stable. The proliferation-driven system requires lower cell death and efflux rates than the influx-driven system.

Can the Ca2+ hypothesis and the Ca2+-voltage hypothesis for neurotransmitter release be reconciled?

It is well established that Ca2+ plays a key role in promoting the physiological depolarization-induced release (DIR) of neurotransmitters from nerve terminals (Ca2+ hypothesis). Yet, evidence has accumulated for the Ca2+-voltage hypothesis, which states that not only is Ca2+ required, but membrane potential as such also plays a pivotal role in promoting DIR. An essential aspect of the Ca2+-voltage hypothesis is that it is depolarization that is responsible for the initiation of release. This assertion seems to be contradicted by recent experiments wherein release was triggered by high concentrations of intracellular Ca2+ in the absence of depolarization [calcium-induced release (CIR)]. Here we show that there is no contradiction between CIR and the Ca2+-voltage hypothesis. Rather, CIR can be looked at as a manifestation of spontaneous release under conditions of high intracellular Ca2+ concentration. Spontaneous release in turn is governed by a subset of the molecular scheme for DIR, under conditions of no depolarization. Prevailing estimates for the intracellular calcium concentration, [Ca2+]i, in physiological DIR rely on experiments under conditions of CIR. Our theory suggests that these estimates are too high, because depolarization is absent in these experiments and [Ca2+]i is held at high levels for an extended period.

Human haematopoiesis in steady state and following intense perturbations.

Haematopoiesis is comprised of multiple stages, originating from pluripotent stem cells through intermediate progenitors to mature differentiated cells. Consequently, during the development of blood cells numerous sites are potentially exposed to the intense perturbations induced by anticancer chemotherapy. However, little is known about human haematopoietic stem cell kinetics in health and following cytotoxic perturbations. Here we reconstruct the complex in vivo dynamics of haematopoietic populations, including the elusive pluripotent stem cells, with a detailed mathematical representation of the marrow biology. The bone marrow kinetic parameters were estimated by using white blood cell counts routinely collected in patients during high dose chemotherapy (HDCT) followed by autologous peripheral blood stem cell transplantation and granulocyte colony stimulating factor (G-CSF) injections. Studying the model performance under a wide variety of parameter values reveals that bone marrow is surprisingly robust in the physiologically feasible parameter space. We infer that the human haematopoietic pluripotent stem cell density is approximately 1 in 2 x 10(5) mononuclear cells and that most of these cells are quiescent, dividing once in 3-4 weeks. Our results suggest that the re-infused stem cell content is relatively high (10(4) kg-1 or 1/300 of CD34+ cells) which contributes to both the long-term marrow re-population as well as to short-term support. This study implies that, in most patients, the pluripotent population recovers within 4 months following HDCT. The proposed model accurately predicts the bone marrow dynamics over a wide range of perturbations caused by clinical interventions. It provides valuable insights about the haematopoietic regeneration capacity, predicts the effect of G-CSF manipulation and of ex vivo graft expansion in improving transplantation procedures, and may have implications for effective stem cell gene therapy.

How instruction and feedback can select the appropriate T helper response.

The decision of the immune system to trigger immune responses that are, respectively, induced by Th1 or Th2 effectors is a critical one, because it profoundly influences disease outcome. We have recently constructed a mathematical model of Th1-Th2-pathogen interactions that shows that the major decisional events can often be successfully determined by the intrinsic behaviour of the T helper system itself. For certain dangerous types of pathogens, however, which replicate rapidly or have developed strategies to evade the immune response, additional stimuli may be necessary. As a possible mechanism for the decision-making process innate immune recognition has been proposed. Here we present an enlarged version of our model, which incorporates signals created from the innate immune system after pathogen recognition. The model analysis suggests that there is fault-tolerance of the T helper system to incorrect Th1 signals. In the presence of incorrect Th1 stimuli an initial Th1 response is shifted to the correct Th2-dominated response owing to the intrinsic T helper dynamics. By contrast, according to our model there is no fault-tolerance for incorrect Th2 signals. In fact, if timing is unimportant then Th2 signals are superfluous since the intrinsic T helper dynamics provide an automatic switch to Th2 if Th1 effectors fail to control the pathogen. Th2 signals may, however, be required to accelerate the onset of the Th2 response. Additionally, we discuss the role of feedback where successful pathogen destruction leads to up-regulation of activation of the effective T helper type. As one possibility we examine the role of CpG motifs as indicators for successful pathogen destruction. Differences between instructive and feedback mechanisms are highlighted.