Periodic oscillations in leukopoiesis models with two delays

The term leukopoiesis describes processes leading to the production and regulation of white blood cells. It is based on stem cells differentiation and may exhibit abnormalities resulting in severe diseases, such as cyclical neutropenia and leukemias. We consider a nonlinear system of two equations, describing the evolution of a stem cell population and the resulting white blood cell population. Two delays appear in this model to describe the cell cycle duration of the stem cell population and the time required to produce white blood cells. We establish sufficient conditions for the asymptotic stability of the unique nontrivial positive steady state of the model by analysing roots of a second degree exponential polynomial characteristic equation with delay-dependent coefficients. We also prove the existence of a Hopf bifurcation which leads to periodic solutions. Numerical simulations of the model with parameter values reported in the literature demonstrate that periodic oscillations (with short and long periods) agree with observations of cyclical neutropenia in patients.     

In vivo and in vitro studies in a patient with cyclical Cushing's disease showing some responsiveness to bromocriptine.

In vivo and in vitro studies were carried out in a 37-year old female with cyclical Cushing's disease. Preoperative studies revealed periodic secretions of urinary corticosteroids occurring with a cyclicity of 2-3 weeks. On transsphenoidal surgery, a microadenoma was visualized in the anteroinferior portion of the anterior pituitary. Gel filtration analyses of the adenoma and surrounding tissues revealed increased concentrations of beta-endorphin and an activated conversion of beta-lipotropin to beta-endorphin in the adenoma compared with the surrounding tissues. These findings were in agreement with the characteristics previously reported for corticotroph adenomas. However, unexpectedly, concentrations of ACTH and beta-lipotropin in the adenoma were only slightly higher than those in the surrounding tissues. Precise mechanisms underlying this unusual finding were elusive, but it may have been due to the periodic nature of her hypercortisolism. In addition, this patient was reproducibly responsive to bromocriptine (2.5 mg, per os) with a reduction of the plasma cortisol level. Although this may suggest an intermediate lobe subtype of Cushing's disease as proposed by Lamberts' group, our case did not have any other characteristic suggestive of this proposed variant. However, it is tempting to speculate that cyclical changes in the central dopaminergic tone may have been at least a partial trigger for the periodic hormonogenesis in this patient.     

Characterization and platelet inhibitory activity of bitistatin, a potent arginine-glycine-aspartic acid-containing peptide from the venom of the viper Bitis arietans

A platelet aggregation inhibitory protein, bitistatin, was isolated from the venom of the puff adder Bitis arietans. This protein is a single-chain peptide containing 83 amino acids and 7 disulfide bonds. Bitistatin contains the sequence arginine-glycine-aspartic acid and shows considerable homology to two previously described snake venom platelet aggregation inhibitors, trigramin and echistatin. Bitistatin inhibited human and canine platelet aggregation initiated by 10 microM ADP in vitro with IC50 values of 237 +/- 13 and 28 +/- 3 nM, respectively. In order to assess the antithrombotic potential of bitistatin, a canine model of platelet-dependent coronary thrombus formation was utilized. Injection of bitistatin at 10-100 micrograms/kg (0.7-7 nmol/kg, intravenously (i.v.] resulted in dose-dependent inhibition of both platelet aggregation ex vivo and platelet-dependent cyclical flow reductions. The effective dose to inhibit cyclical flow reductions was 30 micrograms/kg, i.v. A higher dose of bitistatin (100 micrograms/kg, i.v.) inhibited cyclical flow reductions for 160 +/- 29 min as well as attenuated ex vivo platelet aggregation. Bitistatin at 100 micrograms/kg, i.v. prolonged the bleeding time 4 x normal at 15 min post-administration but returned to normal at 3 h. Thus, in a canine model of in vivo platelet aggregation, bitistatin is an effective antiplatelet agent to inhibit periodic cyclical flow reductions. Bitistatin also exhibits reversible effects of ex vivo platelet aggregation as well as on bleeding time.     

季节性变化对雌性恒河猴生殖功能的影响

目的　研究季节性变化对雌性恒河猴生殖功能的影响。方法　采用随机抽样法和放射免疫测定法 ,分析了不同时期雌性恒河猴性皮肤变化、月经周期和生殖激素变化的特点。结果　 ( 1)性征的季节性变化 :在生殖季节雌性恒河猴几乎都出现性皮肤反应 ,出现比较规则月经周期 ,在非生殖季节只有部分雌性恒河猴出现性皮肤反应 ,月经周期不规则 ,行经频率低 ,有的出现长时间的闭经 ;( 2 )生殖激素的季节性变化 :在生殖季节促性腺激素和性类固醇激素的分泌水平都出现周期性的变化 ,而非生殖季节促性腺激素和性类固醇激素的分泌水平没有显著的差异。结论　雌性恒河猴性皮肤变化、月经周期和生殖激素存在明显的季节性差异 ,这种差异导致了雌性恒河猴生殖功能的季节性变化     

Revisited measles and chickenpox dynamics through orthogonal transformation

The question addressed is whether or not childhood epidemics such as measles and chickenpox are characterized by low-dimensional chaos. We propose a new method for the detection and extraction of hidden periodic components embedded in an irregular cyclical series, and study the characterization of the epidemiological series in terms of the characteristic features or periodicity attributes of the extracted components. It is shown that the measles series possesses two periodic components each having a period of one year. Both the periodic components have time-varying pattern, and the process is nonlinear and deterministic; there is no evidence of strong chaoticity in the measles dynamics. The chickenpox series has one seasonal component with stable pattern, and the process is deterministic but linear, and hence non-chaotic. We also propose surrogate generators based on null hypotheses relating to the variability of the periodicity attributes to analyse the dynamics in the epidemic series. The process dynamics is also studied using seasonally forced SEIR epidemic model, and the characterization performance of the proposed schemes is assessed.     

Nocturnal periodic breathing at altitudes of 6,300 and 8,050 m

Nocturnal periodic breathing was studied in eight well-acclimatized subjects living at an altitude of 6,300 m [barometric pressure (PB) 350-352 Torr] for 3-5 wk and in four subjects during one night at 8,050 m altitude (PB 281-285 Torr). The measurements at 6,300 m included tidal volume by inductance plethysmography, arterial O2 saturation by ear oximetry (calibrated by arterial blood samples), electrocardiogram (ECG), and electrooculogram. At 8,050 m, periodic breathing was inferred from the cyclical variation in heart rate obtained from a night-long ECG record. All subjects at 6,300 m altitude showed well-marked periodic breathing with apneic periods. Cycle length averaged 20.5 s with 7.9 s apnea. Minimal arterial O2 saturation averaged 63.4% corresponding to a PO2 of approximately 33 Torr, i.e., approximately 6 Torr lower than the normal value at rest during daytime. This was probably the most severe hypoxemia of the 24-h period. At 8,050 m altitude, the cycle length averaged 15.4 s, much longer than predicted by a theoretical model. Cyclical variations in heart rate caused by periodic breathing occurred in all subjects, but abnormal cardiac rhythms such as ventricular premature contractions were uncommon. The severe arterial hypoxemia caused by periodic breathing may be an important determinant of tolerance to these great altitudes.     

Statistical recognition of late Cretaceous cyclic sedimentation by means of calcareous nannofossil population studies

The relative abundance of calcareous nannofossil taxa in a sequence of samples collected from a continuous Upper Maastrichtian section in Alabama has been analyzed using statistical techniques. Results indicate that an increase of arbitrarily chosen long-ranging forms can be represented by a slowly fluctuating secular trend with a superimposed cyclical component. Provided that a number of reasonable assumptions are made, the dominant frequencies of the periodic component are within the order of magnitude of the accepted frequency of the Perihelion cycle or “Milenkovitch astronomical insolation curves” (Milenkovitch, 1938).     

Sounds reset rhythms of visual cortex and corresponding human visual perception

An event in one sensory modality can phase reset brain oscillations concerning another modality. In principle, this may result in stimulus-locked periodicity in behavioral performance. Here we considered this possible cross-modal impact of a sound for one of the best-characterized rhythms arising from the visual system, namely occipital alpha-oscillations (8-14 Hz). We presented brief sounds and concurrently recorded electroencephalography (EEG) and/or probed visual cortex excitability (phosphene perception) through occipital transcranial magnetic stimulation (TMS). In a first, TMS-only experiment, phosphene perception rate against time postsound showed a periodic pattern cycling at ~10 Hz phase-aligned to the sound. In a second, combined TMS-EEG experiment, TMS-trials reproduced the cyclical phosphene pattern and revealed a ~10 Hz pattern also for EEG-derived measures of occipital cortex reactivity to the TMS pulses. Crucially, EEG-data from intermingled trials without TMS established cross-modal phase-locking of occipitoparietal alpha oscillations. These independently recorded variables, i.e., occipital cortex excitability and reactivity and EEG phase dynamics, were significantly correlated. This shows that cross-modal phase locking of oscillatory visual cortex activity can arise in the human brain to affect perceptual and EEG measures of visual processing in a cyclical manner, consistent with occipital alpha oscillations underlying a rapid cycling of neural excitability in visual areas.     

THE COVARIANCE STRUCTURE OF LIFE-HISTORY CHARACTERS IN DAPHNIA PULEX

The genetic covariance structure for life-history characters in two populations of cyclically parthenogenetic Daphnia pulex indicates considerable positive correlation among important fitness components, apparently at odds with the expectation if antagonistic pleiotropy is the dominant cause of the maintanence of genetic variation. Although there is no genetic correlation between offspring size and offspring number, present growth and present reproduction are both strongly positively correlated genetically with future reproduction, and early maturity is genetically correlated with larger clutch size. Although the ubiquity of antagonistic pleiotropy has been recently questioned, there are peculiarities of cyclical parthenogenesis that could lead to positive life-history covariance even when negative covariance would be expected in a similar sexual species. These include the influence of nonadditive gene action on evolution in clonally reproducing organisms, and the periodic release of hidden genetic variance within populations of cyclical parthenogens. Examination of matrix similarity, using the bootstrap for distribution-free hypothesis testing, reveals no evidence to suggest that the genetic covariance matrices differ between the populations. However, there is considerable evidence that the phenotypic and environmental covariance matrices differ between populations. These results indicate approximate stability of the genetic covariance matrix within species, an important assumption of many phenotypic evolution models, but should caution against the use of phenotypic in place of genetic covariance matrices.     

Effect of hypoxia-induced periodic breathing on upper airway obstruction during sleep

We studied the effect of hypoxia-induced unstable and periodic breathing on the incidence of obstructed breaths in nine subjects who varied widely in their increase in total pulmonary resistance (RL) during non-rapid-eye-movement (NREM) sleep. During normoxic NREM sleep, all subjects showed hypoventilation, augmented diaphragmatic electromyogram (EMGdi), and increased RL. This response varied: two subjects doubled their mean RL (range 6-9 cmH2O X l-1 X s); four moderate snorers increased RL four- to eightfold (RL = 16-48 cmH2O X l-1 X s); three heavy snorers showed high RL (31-89 cmH2O X l-1 X s) plus cyclical obstructive hypopnea as their predominant breathing pattern. In seven of nine subjects, hypoxia and coincident hypocapnia initially caused an irregular cyclical breathing pattern with obstructed breaths (RL greater than 50 cmH2O X l-1 X s). The incidence of obstructed breaths induced by unstable breathing was closely correlated with the level of RL experienced in the control condition of normoxic sleep (r = 0.91). The obstructed breaths had relatively high O2 saturation (90-96%) and markedly reduced EMGdi activity and peak flow rate (less than 0.2 l/s) compared with breaths immediately after the obstructed breaths, which showed lower O2 saturation (81-93%) and markedly augmented EMGdi and flow rates. After 3-6 cycles of obstructive hypopnea, periodic breathing occurred in most subjects. During periodic breathing in six of seven subjects, the incidence of obstructed or high-resistance breaths was decreased or eliminated since each central apneic period was followed by breath clusters characterized by very high EMGdi, very low RL, and high flow rates. The remaining subject showed a high incidence of obstructed breaths during all phases of normoxic and hypoxic sleep. These data show that hypoxia-induced instability in breathing pattern can cause obstructed breaths during sleep coincident with reduced motor output to inspiratory muscles. However, this obstruction is only manifested in subjects susceptible to upper airway atonicity and narrowing (such as snorers) and can be prevented in most cases if respiratory drive is permitted to reach sufficiently high levels (as during central apnea).     

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.     

Two redundant oscillatory mechanisms in the yeast cell cycle

The cell division cycle requires oscillations in activity of B-type cyclin (Clb)-Cdk1 kinases. Oscillations are due to periodic cyclin degradation by the anaphase-promoting complex (APC) activated by Cdc20 or Cdh1, and to cyclical accumulation of the Sic1 inhibitor. The results presented here suggest that the regulatory machinery controlling Clb kinase levels embeds two distinct oscillatory mechanisms. One, a "relaxation oscillator," involves alternation between two meta-stable states: Clb high/inhibitors (Sic1/APC-Cdh1) low, and Clb low/inhibitors high. The other, a "negative feedback oscillator," involves Clb kinase activation of APC-Cdc20, leading to Clb degradation. Genetic analysis suggests that these two mechanisms can function independently, and inactivation of both mechanisms is required to prevent mitosis. Computational modeling confirms that two such mechanisms can be linked to yield a robust cell cycle control system.     

Five cases of cyclical Cushing's syndrome.

Reported cases of cyclical Cushing''s syndrome are rare. Of 14 successive patients with Cushing''s syndrome nine collected sequential urine samples for the estimation of cortisol:creatinine ratio. Five had cyclical Cushing''s syndrome while two had considerable variation in urinary cortisol excretion without a cyclical pattern being established. Two of the five patients with a cyclical syndrome had paradoxical responses to dexamethasone. In only one patient with a cyclical pattern did the cortisol:creatinine ratio fall after treatment with bromocriptine or cyproheptadine, or both. The high incidence of the cyclical form of Cushing''s syndrome has important clinical implications. A high index of suspicion of the syndrome is required in patients with symptoms or signs of Cushing''s syndrome but with normal cortisol values, in patients with fluctuating cortisol values, and in patients with anomalous responses to dexamethasone. Because of possible variations in steroidogenesis the results of drug studies in Cushing''s syndrome must be interpreted cautiously.     

Trypanosoma congolense: susceptibility of cattle to cyclical challenge

Cattle primed by cyclical infection with Glossina morsitans morsitans infected with cloned derivatives of Trypanosoma congolense and treated with the trypanocidal drug Berenil after 3 or 4 weeks were immune to cyclical challenge with homologous clones 3 to 5 weeks later. In these animals, localized skin reactions (chancres) and parasitemia did not develop. The same results were obtained in cattle given a homologous superinfection without prior treatment. On the other hand, cattle subjected to a cyclical challenge with heterologous clones were completely susceptible as demonstrated by the development of chancres. Immunity to homologous challenge was achieved irrespective of the bloodstream variable antigenic types used to infect the tsetse. It was concluded that for a given serodeme the variable antigen composition of the metacyclic population which develops in the tsetse is constant and characteristic. Immunity to cyclical challenge was also obtained with uncloned stocks, providing the same stock was used for challenge. On the other hand, cattle immune to homologous cyclical challenge with cloned material were not always immune to cyclical challenge with parent stock, indicating that certain stocks consist of more than one serodeme. On the basis of these findings, it may be possible to use the chancre as a marker for serodeme analysis.     

The cost of sex and competition between cyclical and obligate parthenogenetic rotifers

The ubiquity of sexual reproduction is an evolutionary puzzle because asexuality should have major reproductive advantages. Theoretically, transitions to asexuality should confer substantial benefits in population growth and lead to rapid displacement of all sexual ancestors. So far, there have been few rigorous tests of one of the most basic assumptions of the paradox of sex: that asexuals are competitively superior to sexuals immediately after their origin. Here I examine the fitness consequences of very recent transitions to obligate parthenogenesis in the cyclical parthenogenetic rotifer Brachionus calyciflorus. This experimental system differs from previous animal models, since obligate parthenogens were derived from the same maternal genotype as cyclical parthenogens. Obligate parthenogens had similar fitness compared with cyclical parthenogens in terms of the intrinsic rate of increase (calculated from life tables). However, population growth of cyclical parthenogens was predicted to be much lower: sexual female offspring do not contribute to immediate population growth in Brachionus, since they produce either males or diapausing eggs. Hence, if cyclical parthenogens constantly produce a high proportion of sexual offspring, there is a cost of sex, and obligate parthenogens can invade. This prediction was confirmed in laboratory competition experiments.     

A model for the dynamics of bipolar disorders

Bipolar disorders are characterized by recurrent, alternating episodes of mania and depression. To examine the dynamical bases of this cyclical illness we consider a minimal model for bipolar disorders based on the observation that the two poles of the disease are mutually exclusive. We assume that the propensities to mania and depression, which are correlated with the activity of two putative neural circuits that promote, respectively, the manic or the depressive state, inhibit each other. When mutual inhibition is sufficiently strong, the model predicts bistability: the bipolar system is then either in a depressive or in a manic state and can display abrupt switches between these stable states. We consider two simple mechanisms which, when added to mutual inhibition, allow the model to pass from bistability to oscillations. Self-sustained oscillations provide a mechanism for the spontaneous, recurrent switching between mania and depression. The model can generate oscillations with a variety of waveforms, including simple periodic oscillations with comparable or unequal durations of the manic and depressive episodes, or small-amplitude oscillations around one of the two states preceding large-amplitude periodic changes in the propensities to mania or depression. The model provides a theoretical framework that covers the bipolar spectrum, i.e., cycling between the two poles of the disease, or evolution to either mania or depression or to an intermediate state without alternating between the two poles of the disease. The model accounts for the clinical observation that antidepressants can trigger the transition to mania or increase the frequency of bipolar cycling.     

The effect of pulsed cyclical microware radiation on the conditioned behavior of rats

Research has been carried out to investigate the effects of pulsed cyclical microware exposure (7 GHz, 400 pps, 100 mcs, 10-20 mW/cm2, 10 or 20 cycles of "5 min exposure--4 min pause") on avoidance learning of rats. It was shown that reductions in conditioned behavior after cyclical pulsed microware exposure occurred at an SAR of 2.1 W/kg (10 mW/cm2). It was found the cumulation of the effects of the cycles at prolonged cyclical microwave exposures.     

Intraspecific variability in response to stimuli for male and ephippia formation in Daphnia pulex

Natural clones and clones from laboratory crossings of Daphnia pulex have been tested in their response to stimuli for male and ephippia formation. The clones are from ponds in Illinois, USA, an area with both obligate and cyclical clones of D. pulex. The progeny from two types of crosses were studied: 1) crosses between an obligate clone producing males and a cyclical clone producing only females, and 2) self-fertilization within a cyclical clone producing both sexes. Both the natural and the artificial clones showed great variation in response to environmental stimuli for males. Ephippia response seems more equal among the clones, but two of the artificial clones could hardly be stimulated to produce ephippia in the induction experiments. In crowded cultures, however, they produced a few. Crossings between cyclicals and obligates yielded mostly cyclical progeny. Progeny from the selfed clone had low survival and fecundity.     

Cyclical elongation regulates contractile responses of isolated airways.

Bronchoconstrictor responses are quantitatively different when they are evoked under static conditions and during or after periods of deep inspiration. In vivo, deep inspirations produce bronchodilation and protect the lung from subsequent bronchoconstriction (termed bronchoprotection). These effects may be due in part to dynamic stretch on airways produced by cyclical expansion of airway diameter. However, airways also lengthen cyclically during breathing. The effects of cyclical airway elongation on evoked bronchoconstriction have not been examined. This study recorded evoked contractions of pig bronchial segments 1) at different airway lengths, 2) after a period of cyclical lengthening in relaxed airways, and 3) during cyclical lengthening in pretoned airways. Airway segments were mounted in organ baths and bathed in Krebs solution luminally and on the adventitia. Airways were cyclically lengthened by 5-30% of their deflated length at 0.5-2 Hz for 5 min. Contractions were evoked by electrical field stimulation or carbachol and were recorded under isovolumic conditions. Under static conditions, there was a blunt relationship between length and response to electrical field stimulation. After a period of airway length cycling, electrical field stimulation-induced contractions were increased. In airways pretoned with carbachol, cyclical lengthening produced a transient bronchodilation and a sustained increase in contraction. Contractile responses were not blocked by indomethacin. The results show that isolated airways respond actively to dynamic changes in length. Our results indicate that cyclical lengthening of airways could contribute to lung function in vivo but does not appear to account for the phenomenon of bronchoprotection.