High frequency spikes in long period blood cell oscillations

Several hematological diseases are characterised by oscillations of various blood cell populations. Two of these are a variant of chronic myelogenous leukemia (CML) and cyclical neutropenia (CN). These oscillations typically have long periods ranging from 20 to 60 days, despite the fact that the stem cell cycling time is thought to be of the order of 2–3 days. Clinical data from humans and laboratory data from the grey collie animal model of CN is suggestive of the idea that these long period oscillations may also contain higher frequency spiky oscillations. We show how such oscillations can be understood in the context of slow periodic stem cell oscillations, by analysing a two component differential-delay equation model of stem cell and neutrophil populations.For Karl Hadeler, on his 70th birthday, leader, teacher, colleague and friend.     

Modeling complex neutrophil dynamics in the grey collie

We have developed a mathematical model for the peripheral regulation of neutrophil production mediated by granulocyte colony-stimulating factor. We have used that model to show that the pattern of neutrophil oscillations in nine grey collies is consistent with the hypothesis that cyclical neutropenia is due to an oscillatory stem cell input to the neutrophil regulatory system, and not due to autonomous oscillations in the peripheral neutrophil regulatory system. In the process of interfacing our model with the laboratory data, we have estimated parameters for the peripheral neutrophil control system consistent with higher than normal apoptotic cell loss within the recognizable neutrophil precursors. This is in agreement with other experimental data. Our estimated model parameters also predict that the peripheral neutrophil production system is globally stable in the grey collies we studied. This further supports our hypothesis that the origin of the oscillatory behavior in cyclical neutropenia is in the stem cell population, consistent with other clinical and experimental evidence.     

Oscillations in cyclical neutropenia: new evidence based on mathematical modeling

We present a dynamical model of the production and regulation of circulating blood neutrophil number. This model is derived from physiologically relevant features of the hematopoietic system, and is analysed using both analytic and numerical methods. Supercritical Hopf bifurcations and saddle-node bifurcations of limit cycles are shown to exist. We make the estimation of kinetic parameters for dogs and then apply the model to cyclical neutropenia (CN) in the grey collie, a rare disorder in which oscillations in all blood cell counts are found. We conclude that the major cause of the oscillations in CN is an increased rate of apoptosis of neutrophil precursors which leads to a destabilization of the hematopoietic stem cell compartment.     

Dynamic hematological disease: a review

We review the basic characteristics of four periodic hematological disorders (periodic auto-immune hemolytic anemia, cyclical thrombocytopenia, cyclical neutropenia and periodic chronic myelogenous leukemia) and examine the role that mathematical modeling and numerical simulations have played in our understanding of the origin of these diseases and in the regulation of hematopoiesis.     

A Model of Oscillatory Blood Cell Counts in Chronic Myelogenous Leukaemia

In certain blood diseases, oscillations are found in blood cell counts. Particularly, such oscillations are sometimes found in chronic myelogenous leukaemia, and then occur in all the derived blood cell types: red blood cells, white blood cells, and platelets. It has been suggested that such oscillations arise because of an instability in the pluri-potential stem cell population, associated with its regulatory control system. In this paper, we consider how such oscillations can arise in a model of competition between normal (S) and genetically altered abnormal (A) stem cells, as the latter population grows at the expense of the former. We use an analytic model of long period oscillations to describe regions of oscillatory behaviour in the S–A phase plane, and give parametric criteria to describe when such oscillations will occur. We also describe a mechanism which can explain dynamically how the transformation from chronic phase to acute phase and blast crisis can occur.     

Multistability in an age-structured model of hematopoiesis: Cyclical neutropenia

Cyclical neutropenia (CN) is a rare hematopoietic disorder in which the patient's neutrophil level drops to extremely low levels for a few days approximately every three weeks. CN is effectively treated with granulocyte colony stimulating factor (G-CSF), which is known to interfere with apoptosis in neutrophil precursors and to consequently increase the circulating neutrophil level. However, G-CSF treatment usually fails to eliminate the oscillation. In this study, we establish an age-structured model of hematopoiesis, which reduces to a set of four delay differential equations with specific forms of initial functions. We numerically investigate the possible stable solutions of the model equations with respect to changes in the parameters as well as the initial conditions. The results show that the hematopoietic system possesses multistability for parameters typical of the normal healthy state. From our numerical results, decreasing the proliferation rate of neutrophil precursors or increasing the stem cell death rate are two possible mechanisms to induce cyclical neutropenia, and the periods of the resulting oscillations are independent of the changing parameters. We also discuss the dependence of the model solution on the initial condition at normal parameter values corresponding to a healthy state. Using insight from our results we design a hybrid treatment method that is able to abolish the oscillations in CN.     

A mathematical model of haemopoiesis as exemplified by CD34 cell mobilization into the peripheral blood

A mathematical model for the kinetics of haemopoietic cells, including CD34+cells, is proposed. This minimal model reflects the known kinetics of haemopoietic progenitor cells, including peripheral blood CD34+ cells, white blood cells and platelets, in the presence of granulocyte colony-stimulating factor. Reproducing known perturbations within this system, subjected to granulocyte colony-stimulating factor treatment and apheresis of peripheral blood progenitor cells (CD34+ cells) in healthy individuals allows validation of the model. Predictions are made with this model for reducing the length of time with neutropenia after high-dose chemotherapy. Results based on this model indicate that myelosuppressive treatment together with infusion of CD34+ peripheral blood progenitor cells favours a faster recovery of the haemopoietic system than with granulocyte colony-stimulating factor alone. Additionally, it predicts that infusion of white blood cells and platelets can relieve the symptoms of neutropenia and thrombocytopenia, respectively, without drastically hindering the haemopoietic recovery period after high dose chemotherapy.     

ORGANIZATION OF HAEMOPOIETIC STEM CELLS: THE GENERATION-AGE HYPOTHESIS

This paper proposes that the previous division history of each stem cell is one determinant of the functional organization of the haemopoietic stem cell population. Stem cells from a lineage of stem cells which have generated many stem cells (older stem cells) are used in the animal to form blood before stem cells which have generated few stem cells (younger stem cells). The stem cell generating capacity of a lineage of stem cells is finite. After a given number of generations a stem cell is lost to the stem cell compartment by forming two committed precursors of the cell lines. Its part in blood formation is taken by the next oldest stem cell. We have called this proposal the generation-age hypothesis. Experimental evidence in support of the proposal is presented. We stripped away older stem cells from normal bone marrow and 12 day foetal liver with phase-specific drugs and revealed a younger population of stem cells whose capacity for stem cell generation was three- to four-fold greater than that of the average normal, untreated population. We aged normal stem cells by continuous irradiation and serial retransplantation and found that their stem cell generative capacity had declined eight-fold. We measured the stem cell generative capacity of stem cells in the bloodstream. It was a half, to a quarter that of normal bone marrow stem cells and we found a subpopulation of circulating stem cells whose capacity for stem cell generation was an eighth to a fortieth that of normal femoral stem cells. This subpopulation was identified by its failure to express the brain-associated antigen which was present on 75% of normal femoral stem cells but was not found on their progeny, the committed precursors of granulocytes.     

Organization of haemopoietic stem cells: the generation-age hypothesis.

This paper proposes that the previous division history of each stem cell is one determinant of the functional organization of the haemopoietic stem cell population. Stem cells from a lineage of stem cells which have generated many stem cells (older stem cells) are used in the animal to form blood before stem cells which have generated few stem cells (younger stem cells). The stem cell generating capacity of a lineage of stem cells is finite. After a given number of generations a stem cell is lost to the stem cell compartment by forming two committed precursors of the cell lines. Its part in blood formation is taken by the next oldest stem cell. We have called this proposal the generation-age hypothesis. Experimental evidence in support of the proposal is presented. We stripped away older stem cells from normal bone marrow and 13 day foetal liver with phase-specific drugs and revealed a younger population of stem cells whose capacity for stem cell generation was three- to four-fold greater than that of the average normal, untreated population. We aged normal stem cells by continuous irradiation and serial retransplantation and found that their stem cell generative capacity had declined eight-fold. We measured the stem cell generative capacity of stem cells in the bloodstream. It was a half to a quarter that of normal bone marrow stem cells and we found a subpopulation of circulating stem cells whose capacity for stem cell generation was an eighth to a fortieth that of normal femoral stem cells. This subpopulation was identified by its failure to express the brain-associated antigen which was present on 75% of normal femoral stem cells but was not found on their progeny, the committed precursors of granulocytes.     

小鼠骨髓造血干细胞、外周血组成随年龄的变化趋势及其相关性分析

造血干细胞是具有自我更新能力并能分化为血液中各种血细胞组分的多能干细胞。近来研究显示,不同造血干细胞表面标志物标记的造血干细胞具有分化为不同血细胞的趋势,但是这种分化的内在关系仍不清楚。对小鼠CD34~-/Sca-1~+骨髓造血干细胞、外周血组成随小鼠年龄增长的变化情况进行了分析,结果显示:随着年龄的增长,骨髓中的CD34~-/Sca-1~+骨髓造血干细胞比率显著增加;而外周血各组分则随年龄变化呈现不同的趋势。对不同年龄段小鼠的骨髓造血干细胞及其他组分与外周血组分的同步分析发现,外周血中血小板密度变化趋势与CD34~-/Sca-1~+骨髓造血干细胞变化情况相关系数为0.804 8;外周血中淋巴细胞密度变化趋势与CD34~+/Sca-1~-骨髓细胞的变化情况相关系数为0.947 97;外周血中白细胞密度变化趋势与CD34~+/Sca-1~+骨髓细胞变化情况相关系数为0.763 1(大于0.9为极度相关,0.7到0.9为高度相关)。     

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 · 10⁵ 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 (10⁴ 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.     

Adipose tissue-derived progenitor cells and cancer

Recruitment of stem cells and partially differentiated progenitor cells is a process which accompanies and facilitates the progression of cancer. One of the factors complicating the clinical course of cancer is obesity, a progressively widespread medical condition resulting from overgrowth of white adipose tissue (WAT), commonly known as white fat. The mechanisms by which obesity influences cancer risk and progression are not completely understood. Cells of WAT secret soluble molecules (adipokines) that could stimulate tumor growth, although there is no consensus on which cell populations and which adipokines are important. Recent reports suggest that WAT-derived mesenchymal stem (stromal) cells, termed adipose stem cells (ASC), may represent a cell population linking obesity and cancer. Studies in animal models demonstrate that adipokines secreted by ASC can promote tumor growth by assisting in formation of new blood vessels, a process necessary for expansion of tumor mass. Importantly, migration of ASC from WAT to tumors has been demonstrated, indicating that the tumor microenvironment in cancer may be modulated by ASC-derived trophic factors in a paracrine rather than in an endocrine manner. Here, we review possible positive and adverse implications of progenitor cell recruitment into the diseased sites with a particular emphasis on the role in cancer progression of progenitors that are expanded in obesity.     

Intestinal crypt homeostasis results from neutral competition between symmetrically dividing Lgr5 stem cells

Intestinal stem cells, characterized by high Lgr5 expression, reside between Paneth cells at the small intestinal crypt base and divide every day. We have carried out fate mapping of individual stem cells by generating a multicolor Cre-reporter. As a population, Lgr5(hi) stem cells persist life-long, yet crypts drift toward clonality within a period of 1-6 months. We have collected short- and long-term clonal tracing data of individual Lgr5(hi) cells. These reveal that most Lgr5(hi) cell divisions occur symmetrically and do not support a model in which two daughter cells resulting from an Lgr5(hi) cell division adopt divergent fates (i.e., one Lgr5(hi) cell and one transit-amplifying [TA] cell per division). The cellular dynamics are consistent with a model in which the resident stem cells double their numbers each day and stochastically adopt stem or TA fates. Quantitative analysis shows that stem cell turnover follows a pattern of neutral drift dynamics.     

A new role of thrombopoietin enhancing ex vivo expansion of endothelial precursor cells derived from AC133-positive cells

We previously reported that CD31(bright) cells, which were sorted from cultured AC133(+) cells of adult peripheral blood cells, differentiated more efficiently into endothelial cells than CD31(+) cells or CD31(-) cells, suggesting that CD31(bright) cells may be endothelial precursor cells. In this study, we found that CD31(bright) cells have a strong ability to release cytokines. The mixture of vascular endothelial growth factor (VEGF), thrombopoietin (TPO), and stem cell factor stimulated ex vivo expansion of the total cell number from cultured AC133(+) cells of adult peripheral blood cells and cord blood cells, resulting in incrementation of the adhesion cells, in which endothelial nitric oxide synthase and kinase insert domain-containing receptor were positive. Moreover, the mixture of VEGF and TPO increased the CD31(bright) cell population when compared with VEGF alone or the mixture of VEGF and stem cell factor. These data suggest that TPO is an important growth factor that can promote endothelial precursor cells expansion ex vivo.     

Stem Cell-Like Differentiation Potentials of Endometrial Side Population Cells as Revealed by a Newly Developed In Vivo Endometrial Stem Cell Assay

Background

Endometrial stem/progenitor cells contribute to the cyclical regeneration of human endometrium throughout a woman''s reproductive life. Although the candidate cell populations have been extensively studied, no consensus exists regarding which endometrial population represents the stem/progenitor cell fraction in terms of in vivo stem cell activity. We have previously reported that human endometrial side population cells (ESP), but not endometrial main population cells (EMP), exhibit stem cell-like properties, including in vivo reconstitution of endometrium-like tissues when xenotransplanted into immunodeficient mice. The reconstitution efficiency, however, was low presumably because ESP cells alone could not provide a sufficient microenvironment (niche) to support their stem cell activity. The objective of this study was to establish a novel in vivo endometrial stem cell assay employing cell tracking and tissue reconstitution systems and to examine the stem cell properties of ESP through use of this assay.

Methodology/Principal Findings

ESP and EMP cells isolated from whole endometrial cells were infected with lentivirus to express tandem Tomato (TdTom), a red fluorescent protein. They were mixed with unlabeled whole endometrial cells and then transplanted under the kidney capsule of ovariectomized immunodeficient mice. These mice were treated with estradiol and progesterone for eight weeks and nephrectomized. All of the grafts reconstituted endometrium-like tissues under the kidney capsules. Immunofluorescence revealed that TdTom-positive cells were significantly more abundant in the glandular, stromal, and endothelial cells of the reconstituted endometrium in mice transplanted with TdTom-labeled ESP cells than those with TdTom-labeled EMP cells.

Conclusions/Significance

We have established a novel in vivo endometrial stem cell assay in which multi-potential differentiation can be identified through cell tracking during in vivo endometrial tissue reconstitution. Using this assay, we demonstrated that ESP cells differentiated into multiple endometrial lineages in the niche provided by whole endometrial cells, indicating that ESP cells are genuine endometrial stem/progenitor cells.     

Hematopoietic growth factors in autologous transplantation

Hematopoietic growth factors (HGFs) sustain the survival, proliferation and differentiation of hematopoietic stem cells and some functions of mature blood cells. In man several HGFs have been characterised and cloned so far, and this has allowed investigators to confer the rationale for the clinical application of these molecules in hematology and oncology. In particular G-CSF and GM-CSF are currently utilised to abrogate the hematological toxicity of chemotherapy for standard and dose-intensified therapy, neutropenia following bone marrow and peripheral blood stem cell transplantation. Moreover there has recently been great interest in the ex vivo expansion of hematopoietic stem and progenitor cells for a variety of applications, such as in vitro tumor cell purging or for reducing the volume of blood processed by the leukapheresis. Several combinations of HGFs have been described to sustain the ex vivo survival and proliferation of these cells disclosing new opportunities in the field of stem cells transplants.     

Effect of Dedifferentiation on Time to Mutation Acquisition in Stem Cell-Driven Cancers

Accumulating evidence suggests that many tumors have a hierarchical organization, with the bulk of the tumor composed of relatively differentiated short-lived progenitor cells that are maintained by a small population of undifferentiated long-lived cancer stem cells. It is unclear, however, whether cancer stem cells originate from normal stem cells or from dedifferentiated progenitor cells. To address this, we mathematically modeled the effect of dedifferentiation on carcinogenesis. We considered a hybrid stochastic-deterministic model of mutation accumulation in both stem cells and progenitors, including dedifferentiation of progenitor cells to a stem cell-like state. We performed exact computer simulations of the emergence of tumor subpopulations with two mutations, and we derived semi-analytical estimates for the waiting time distribution to fixation. Our results suggest that dedifferentiation may play an important role in carcinogenesis, depending on how stem cell homeostasis is maintained. If the stem cell population size is held strictly constant (due to all divisions being asymmetric), we found that dedifferentiation acts like a positive selective force in the stem cell population and thus speeds carcinogenesis. If the stem cell population size is allowed to vary stochastically with density-dependent reproduction rates (allowing both symmetric and asymmetric divisions), we found that dedifferentiation beyond a critical threshold leads to exponential growth of the stem cell population. Thus, dedifferentiation may play a crucial role, the common modeling assumption of constant stem cell population size may not be adequate, and further progress in understanding carcinogenesis demands a more detailed mechanistic understanding of stem cell homeostasis.     

Programming human pluripotent stem cells into white and brown adipocytes

The utility of human pluripotent stem cells is dependent on efficient differentiation protocols that convert these cells into relevant adult cell types. Here we report the robust and efficient differentiation of human pluripotent stem cells into white or brown adipocytes. We found that inducible expression of PPARG2 alone or combined with CEBPB and/or PRDM16 in mesenchymal progenitor cells derived from pluripotent stem cells programmed their development towards a white or brown adipocyte cell fate with efficiencies of 85%-90%. These adipocytes retained their identity independent of transgene expression, could be maintained in culture for several weeks, expressed mature markers and had mature functional properties such as lipid catabolism and insulin-responsiveness. When transplanted into mice, the programmed cells gave rise to ectopic fat pads with the morphological and functional characteristics of white or brown adipose tissue. These results indicate that the cells could be used to faithfully model human disease.     

Cellular aging leads to functional heterogeneity of hematopoietic stem cells: a modeling perspective

Hematopoietic stem cells (HSCs) are the source for the life-long supply of functional cells in peripheral blood while they simultaneously maintain their own reserve pool. However, there is accumulating evidence that HSCs are themselves subject to quantitative and qualitative exhaustion. Although several processes linked to mitotic activity can potentially account for the observed aging phenomena (e.g., DNA damage, telomere shortening, epigenetic modification), a precise understanding of HSC exhaustion is still missing. It is particularly unclear how individual aging processes on the single-cell level translate on the phenotypic level of the overall tissue and whether there is a functional implication of an age-structured HSC population. We address these issues by applying a novel mathematical model of HSC organization in which division-specific, cumulative alterations of stem cell quality determine the phenotypic and functional appearance of the overall cell population. Adapting the model to a number of basic experimental findings, we quantify the level of additional heterogeneity that is introduced by a population of individually aging cells. Based on this model, we are able to conclude that division-dependent processes of cellular aging explain a wide range of phenomena on HSC exhaustion and that HSC aging needs to be considered as a highly heterogeneous process. We furthermore report that functional heterogeneity between young and old HSCs appears closely similar to the phenomena described for long- and short-term repopulating cells. We speculate whether differential, division-coupled stem cell aging introduces an intra-animal variability that also accounts for heterogeneity with respect to the repopulation ability of HSCs.