Periodic motion and bifurcations induced by the Painlevé paradox

International audienceIn this paper we study the periodic motion and bifurcations of the Frictional Impact Oscillator, which consists of an object with normal and tangential degrees of freedom that comes in contact with a rigid surface. The Frictional Impact Oscillator contains the basic mechanism for a hopping phenomenon observed in many practical applications. We will show that the hopping or bouncing motion in this type of systems is closely related to the Painlevé paradox. A dynamical system exhibiting the Painlevé paradox has nonuniqueness and nonexistence of solutions in certain sliding modes. Furthermore, we will show that this type of systems can exhibit the Painlevé paradox for physically realistic values of the friction coefficient

Group II secretory PLA2: A new cardiovascular risk factor

Inflammatory mediators contribute significantly to the induction and progression of cardiovascular diseases such as atherosclerosis and acute myocardial infarction (AMI). A mediator that has been shown to play a crucial role in both cardiovascular events is group-II secretory phospholipase A2 (sPLA2-II), as this mediator has been suggested to modulate atherosclerotic plaque formation, for example by increasing the accumulation of intracellular lipids in macrophages and stimulating the formation of foam cells. Furthermore, increased levels of sPLA2-II in the blood form a risk marker for the development of complications of coronary artery disease. In line with this, we recently found that extracellular sPLA2-II is more abundantly present in the extracellular matrix of atherosclerotic culprit lesions of coronary arteries in patients who developed AMI than in those of patients with stable or unstable angina pectoris. Another important feature of sPLA2-II is its ability to bind to and hydrolyze membrane phospholipids. Notably, sPLA2-II cannot bind to the tightly packed hydrophobic phospholipids in the outer leaflet of a normal membrane, but only to the disarranged or flip-flopped membranes of damaged cells, as is the case in ischemic jeopardized cardiomyocytes. Interestingly, we recently have observed that sPLA2-II cannot only bind to reversible damaged cardiomyocytes but also induces these cells to die, partly by potentiating binding of C-reactive protein and thus inducing an inflammatory response in the ischemically challenged heart. This review will discuss the pros and co ns of therapy with inhibitors of sPLA2-II to prevent complications of the process of atherosclerosis, and/or to limit the amount of cell death of cardiomyocytes subsequent to AMI

Inhibition of sPLA2-IIA, C-reactive protein or complement: new therapy for patients with acute myocardial infarction?

Reperfusion of ischemic myocardium after acute myocardial infarction (AMI) induces a local activation of inflammatory reactions that results in ischemia/reperfusion (I/R)-injury. I/R-injury contributes considerably to the total cell damage in the heart after AMI. Secretory phospolipase A2-IIA (sPLA2-IIA), C-reactive protein (CRP) and complement are inflammatory mediators that have been demonstrated to play key roles in I/R injury. From studies by us and others a mechanism emerged in which sPLA2-IIA binds to reversibly damaged cardiomyocytes and subsequently induces cell death, partly by potentiating binding of CRP and subsequent complement activation. Next to this, sPLA2-IIA also has a direct toxic effect, independent of CRP or complement. Therefore, these studies indicate a crucial role of inflammatory mediators in ischemia/reperfusion injury. This review will focus on the pathogenic effects of sPLA2-IIA, CRP and complement and on the putative therapeutic effects of inhibitors of these inflammatory mediators in acute myocardial infarction

Acetylcholinesterase inhibition in electric eel and human donor blood: an in vitro approach to investigate interspecies differences and human variability in toxicodynamics

In chemical risk assessment, default uncertainty factors are used to account for interspecies and interindividual differences, and differences in toxicokinetics and toxicodynamics herein. However, these default factors come with little scientific support. Therefore, our aim was to develop an in vitro method, using acetylcholinesterase (AChE) inhibition as a proof of principle, to assess both interspecies and interindividual differences in toxicodynamics. Electric eel enzyme and human blood of 20 different donors (12 men/8 women) were exposed to eight different compounds (chlorpyrifos, chlorpyrifos-oxon, phosmet, phosmet-oxon, diazinon, diazinon-oxon, pirimicarb, rivastigmine) and inhibition of AChE was measured using the Ellman method. The organophosphate parent compounds, chlorpyrifos, phosmet and diazinon, did not show inhibition of AChE. All other compounds showed concentration-dependent inhibition of AChE, with IC50s in human blood ranging from 0.2–29 µM and IC20s ranging from 0.1–18 µM, indicating that AChE is inhibited at concentrations relevant to the in vivo human situation. The oxon analogues were more potent inhibitors of electric eel AChE compared to human AChE. The opposite was true for carbamates, pointing towards interspecies differences for AChE inhibition. Human interindividual variability was low and ranged from 5–25%, depending on the concentration. This study provides a reliable in vitro method for assessing human variability in AChE toxicodynamics. The data suggest that the default uncertainty factor of ~ 3.16 may overestimate human variability for this toxicity endpoint, implying that specific toxicodynamic-related adjustment factors can support quantitative in vitro to in vivo extrapolations that link kinetic and dynamic data to improve chemical risk assessment

C-Reactive Protein Activates Complement in Infarcted Human Myocardium

Circulating levels of C-reactive protein (CRP) constitute a cardiovascular risk marker. Immunohistochemical studies have revealed co-localization of CRP and activated complement in human infarcted myocardium suggesting CRP to enhance inflammation in ischemic myocardium by inducing local complement activation. The aim was to establish whether CRP activates complement in infarcted human myocardium and to assess the relationship between this activation and the duration of infarction. Myocardial tissue samples from 56 patients that had died from acute myocardial infarction were evaluated. Specimens were taken from infarcted as well as noninfarcted sites of the heart. CRP-mediated complement activation was assessed by immunohistochemistry and by measuring levels of complement, CRP, and CRP-complement complexes, specific markers for CRP-mediated activation, in homogenates of the heart. Infarctions of 12 hours to 5 days had significantly more extensive depositions of complement and CRP and contained significantly more CRP, activated complement, and CRP-complement complexes than infarctions that were less than 12 hours old. Levels of CRP complexes correlated significantly with CRP and complement concentrations in the infarctions, as well as with the extent of complement and CRP depositions as measured via immunohistochemistry. Specific activation products of CRP-mediated activation of complement are increased in infarcts of more than 12 hours in duration and correlate with the extent of complement depositions. Hence, CRP seems to enhance local inflammatory reactions ensuing in human myocardial infarcts of more than 12 hours duration

Secretory type II phospholipase A(2) binds to ischemic myocardium during myocardial infarction in humans

OBJECTIVE: An increase of circulating secretory Phospholipase A(2) (sPLA(2)) is a risk factor for coronary artery disease. We hypothesized that this reflects participation of sPLA(2) in local inflammatory reactions ensuing in ischemic myocardium. Therefore, we studied the course of circulating sPLA(2), in patients with acute myocardial infarction (AMI) or unstable angina pectoris (UAP), and investigated the presence of sPLA(2) in infarcted myocardial tissue. METHODS: Plasma samples of 107 patients with AMI or UAP, collected on admission and at varying intervals thereafter, were tested for the presence of sPLA(2) and C-reactive protein (CRP). Cumulative release values of these parameters were calculated, which allowed for comparison of the results rearranged in time according to the onset of symptoms. By immunohistochemistry we studied the presence of sPLA(2) and CRP in myocardial tissue of 30 patients who died subsequent to AMI. RESULTS: Levels of sPLA(2) became elevated during the disease course in 66 of the 87 patients with AMI, and were higher than those of the patients with UAP of whom 8 of the 20 had elevated levels. By immunohistochemistry sPLA(2) was found to be localized in the infarcted myocardium, particularly in its borderzone, from 12 h after the onset of AMI. Positive staining for sPLA(2) was more extensive than that for CRP. CONCLUSIONS: The localization pattern of sPLA(2) in infarcted myocardium as well as its plasma course, in relation to those of CRP, are in line with a supposed pro-inflammatory role during AMI for sPLA(2) as a generator of lysophospholipids serving as ligands for CRP

Secretory type II phospholipase A(2) binds to ischemic myocardium during myocardial infarction in humans

OBJECTIVE: An increase of circulating secretory Phospholipase A(2) (sPLA(2)) is a risk factor for coronary artery disease. We hypothesized that this reflects participation of sPLA(2) in local inflammatory reactions ensuing in ischemic myocardium. Therefore, we studied the course of circulating sPLA(2), in patients with acute myocardial infarction (AMI) or unstable angina pectoris (UAP), and investigated the presence of sPLA(2) in infarcted myocardial tissue. METHODS: Plasma samples of 107 patients with AMI or UAP, collected on admission and at varying intervals thereafter, were tested for the presence of sPLA(2) and C-reactive protein (CRP). Cumulative release values of these parameters were calculated, which allowed for comparison of the results rearranged in time according to the onset of symptoms. By immunohistochemistry we studied the presence of sPLA(2) and CRP in myocardial tissue of 30 patients who died subsequent to AMI. RESULTS: Levels of sPLA(2) became elevated during the disease course in 66 of the 87 patients with AMI, and were higher than those of the patients with UAP of whom 8 of the 20 had elevated levels. By immunohistochemistry sPLA(2) was found to be localized in the infarcted myocardium, particularly in its borderzone, from 12 h after the onset of AMI. Positive staining for sPLA(2) was more extensive than that for CRP. CONCLUSIONS: The localization pattern of sPLA(2) in infarcted myocardium as well as its plasma course, in relation to those of CRP, are in line with a supposed pro-inflammatory role during AMI for sPLA(2) as a generator of lysophospholipids serving as ligands for CR

Acetylcholinesterase inhibition in electric eel and human donor blood: an in vitro approach to investigate interspecies differences and human variability in toxicodynamics

In chemical risk assessment, default uncertainty factors are used to account for interspecies and interindividual differences, and differences in toxicokinetics and toxicodynamics herein. However, these default factors come with little scientific support. Therefore, our aim was to develop an in vitro method, using acetylcholinesterase (AChE) inhibition as a proof of principle, to assess both interspecies and interindividual differences in toxicodynamics. Electric eel enzyme and human blood of 20 different donors (12 men/8 women) were exposed to eight different compounds (chlorpyrifos, chlorpyrifos-oxon, phosmet, phosmet-oxon, diazinon, diazinon-oxon, pirimicarb, rivastigmine) and inhibition of AChE was measured using the Ellman method. The organophosphate parent compounds, chlorpyrifos, phosmet and diazinon, did not show inhibition of AChE. All other compounds showed concentration-dependent inhibition of AChE, with IC50s in human blood ranging from 0.2–29 µM and IC20s ranging from 0.1–18 µM, indicating that AChE is inhibited at concentrations relevant to the in vivo human situation. The oxon analogues were more potent inhibitors of electric eel AChE compared to human AChE. The opposite was true for carbamates, pointing towards interspecies differences for AChE inhibition. Human interindividual variability was low and ranged from 5–25%, depending on the concentration. This study provides a reliable in vitro method for assessing human variability in AChE toxicodynamics. The data suggest that the default uncertainty factor of ~ 3.16 may overestimate human variability for this toxicity endpoint, implying that specific toxicodynamic-related adjustment factors can support quantitative in vitro to in vivo extrapolations that link kinetic and dynamic data to improve chemical risk assessment