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We develop the equations obeyed by contacts forces in Contact Dynamics algorithm and consider their resolution in two simple cases of cohesive grains, namely two-body and three-body cohesive collisions. We show how equations predict that increasing the time step increases the effective cohesion of the systems. Numerical simulations are performed to verify the predictions, in the case of cohesive granular piles falling in the gravity field, and in the case of a simplified Newton's cradle; predictions are confirmed. We thereby present the details of Contact Dynamics equations in a nutshell, and speculate over the definition of a dimensionless "cohesive time" that would merge considerations over the cohesive properties of the simulations and considerations over their precision.

G protein-coupled receptor kinase-2 (GRK2) is a critical regulator of β-adrenergic receptor (β-AR) signaling and cardiac function. We studied the effects of mechanical stretch, a potent stimulus for cardiac myocyte hypertrophy, on GRK2 activity and β-AR signaling. To eliminate neurohormonal influences, neonatal rat ventricular myocytes were subjected to cyclical equi-biaxial stretch. A hypertrophic response was confirmed by “fetal” gene up-regulation. GRK2 activity in cardiac myocytes was increased 4.2-fold at 48 h of stretch versus unstretched controls. Adenylyl cyclase activity was blunted in sarcolemmal membranes after stretch, demonstrating β-AR desensitization. The hypertrophic response to mechanical stretch is mediated primarily through the Gαq-coupled angiotensin II AT1 receptor leading to activation of protein kinase C (PKC). PKC is known to phosphorylate GRK2 at the N-terminal serine 29 residue, leading to kinase activation. Overexpression of a mini-gene that inhibits receptor-Gαq coupling blunted stretch-induced hypertrophy and GRK2 activation. Short hairpin RNA-mediated knockdown of PKCα also significantly attenuated stretch-induced GRK2 activation. Overexpression of a GRK2 mutant (S29A) in cardiac myocytes inhibited phosphorylation of GRK2 by PKC, abolished stretch-induced GRK2 activation, and restored adenylyl cyclase activity. Cardiac-specific activation of PKCα in transgenic mice led to impaired β-agonist-stimulated ventricular function, blunted cyclase activity, and increased GRK2 phosphorylation and activity. Phosphorylation of GRK2 by PKC appears to be the primary mechanism of increased GRK2 activity and impaired β-AR signaling after mechanical stretch. Cross-talk between hypertrophic signaling at the level of PKC and β-AR signaling regulated by GRK2 may be an important mechanism in the transition from compensatory ventricular hypertrophy to heart failure.

Apoptosis plays a significant role in maladaptive remodeling and ventricular dysfunction following ischemia-reperfusion injury. There is a critical need for novel approaches to inhibit apoptotic cell death following reperfusion, as this loss of cardiac myocytes can progressively lead to heart failure. We investigated the ability and signaling mechanisms of a high-molecular-weight polyethylene glycol-based copolymer, PEG 15–20, to protect cardiac myocytes from hypoxia-reoxygenation (H-R)-induced cell death and its efficacy in preserving ventricular function following extended hypothermic ischemia and warm reperfusion as relevant to cardiac transplantation. Pretreatment of neonatal rat ventricular myocytes with a 5% PEG solution led to a threefold decline in apoptosis after H-R relative to untreated controls. There was a similar decline in caspase-3 activity in conjunction with inhibition of cytochrome c release from the inner mitochondrial membrane. Treatment with PEG also reduced reactive oxygen species production after H-R, and sarcolemmal lipid-raft architecture was preserved, consistent with membrane stabilization. Cell survival signaling was upregulated after H-R with PEG, as demonstrated by increased phosphorylation of Akt, GSK-3β, and ERK1/2. There was also maintenance of cardiac myocyte β-adrenergic signaling, which is critical for myocardial function. PEG 15–20 was very effective in preserving left ventricular function following prolonged hypothermic ischemia and warm reperfusion. PEG 15–20 has a potent protective antiapoptotic effect in cardiac myocytes exposed to H-R injury and may represent a novel therapeutic strategy to decrease myocardial cell death and ventricular dysfunction at the time of reperfusion during acute coronary syndrome or following prolonged donor heart preservation.

Cardiac fibroblasts (CF) make up 60–70% of the total cell number in the heart and play a critical role in regulating normal myocardial function and in adverse remodeling following myocardial infarction and the transition to heart failure. Recent studies have shown that increased intracellular cAMP can inhibit CF transformation and collagen synthesis in adult rat CF; however, mechanisms by which cAMP production is regulated in CF have not been elucidated. We investigated the potential role of G protein-coupled receptor kinase-2 (GRK2) in modulating collagen synthesis by adult human CF isolated from normal and failing left ventricles. Baseline collagen synthesis was elevated in failing CF and was not inhibited by β-agonist stimulation in contrast to normal controls. β-adrenergic receptor (β-AR) signaling was markedly uncoupled in the failing CF, and expression and activity of GRK2 were increased 3-fold. Overexpression of GRK2 in normal CF recapitulated a heart failure phenotype with minimal inhibition of collagen synthesis following β-agonist stimulation. In contrast, knockdown of GRK2 expression in normal CF enhanced cAMP production and led to greater β-agonist-mediated inhibition of basal and TGFβ-stimulated collagen synthesis versus control. Inhibition of GRK2 activity in failing CF by expression of the GRK2 inhibitor, GRK2ct, or siRNA-mediated knockdown restored β-agonist-stimulated inhibition of collagen synthesis and decreased collagen synthesis in response to TGFβ stimulation. GRK2 appears to play a significant role in regulating collagen synthesis in adult human CF, and increased activity of this kinase may be an important mechanism of maladaptive ventricular remodeling as mediated by cardiac fibroblasts.

Using both a continuum Navier-Stokes solver, with the mu(I)-flow-law implemented to model the viscous behavior, and the discrete Contact Dynamics algorithm, the discharge of granular silos is simulated in two dimensions from the early stages of the discharge until complete release of the material. In both cases, the Beverloo scaling is recovered. We first do not attempt quantitative comparison, but focus on the qualitative behavior of velocity and pressure at different locations in the flow. A good agreement is obtained in the regions of rapid flows, while areas of slow creep are not entirely captured by the continuum model. The pressure field shows a general good agreement. The evolution of the free surface implies differences, however, the bulk deformation is essentially identical in both approaches. The influence of the parameters of the mu(I)-flow-law is systematically investigated, showing the importance of the dependence on the inertial number I to achieve quantitative agreement between continuum and discrete discharge. The general ability of the continuum model to reproduce qualitatively the granular behavior is found to be very encouraging., 12 pages, 15 figures

This contribution reports on numerical simulations of 2D granular flows on erodible beds. The broad aim is to investigate whether simple flows of model granular matter exhibits spontaneous oscillatory motion in generic flow conditions, and in this case, whether the frictional properties of the contacts between grains may affect the existence or the characteristics of this oscillatory motion. The analysis of different series of simulations show that the flow develops an oscillatory motion with a well-defined frequency which increases like the inverse of the velocity's square root. We show that the oscillation is essentially a surface phenomena. The amplitude of the oscillation is higher for lower volume fractions, and can thus be related to the flow velocity and grains friction properties. The study of the influence of the periodic geometry of the simulation cell shows no significant effect. These results are discussed in relation to sonic sands., 7 pages, 8 figures

Cardiac fibroblasts (CF) make up 70% of the total cell number in the heart and play a critical role in regulating normal myocardial function and in adverse remodeling following myocardial infarction. Recent studies have shown that increased intracellular cAMP can inhibit CF transformation and collagen synthesis in adult rat CF; however, mechanisms by which cAMP production is regulated in CF have not been elucidated. The objective of this study was to investigate the potential role of GRK2 in modulating CF transformation to myofibroblasts and collagen synthesis in adult human CF isolated from normal and failing left ventricles. CF isolated from failing ventricles showed a significant increase in expression of collagen I, III and VI compared with controls. α-SMA was increased 2-fold over controls, consistent with CF transformation to myofibroblasts. Baseline collagen synthesis was elevated 2-fold in failing CF and was not inhibited by isoproterenol (ISO)-stimulation in contrast to normal controls. β-adrenergic receptor (β-AR) signaling was markedly uncoupled in failing CF as assessed by basal and ISO-stimulated cAMP production. The primary mechanism appears to be a 2.5-fold increase in GRK2 activity as GRK2 phosphorylates and uncouples agonist-occupied β-ARs. Overexpression of GRK2 in normal CF recapitulated a heart failure phenotype with minimal inhibition of collagen synthesis following ISO stimulation. In contrast, siRNA-mediated knockdown of GRK2 expression in normal CF enhanced cAMP production and led to greater β-agonist-mediated inhibition of basal and TGFβ-stimulated collagen synthesis versus control. Inhibition of GRK2 activity by adenoviral-mediated βARKct expression or GRK2 knockdown in failing CF led to a significant decline in collagen and α-SMA expression. GRK2 inhibition restored β-AR signaling and ISO-stimulated inhibition of collagen synthesis and also significantly decreased collagen synthesis in response to TGFβ stimulation. In conclusion, GRK2 appears to play a significant role in regulating CF transformation and collagen synthesis in adult human CF and increased activity of this kinase may be an important mechanism of maladaptive ventricular remodeling as mediated by cardiac fibroblasts.

Donor heart dysfunction (DHD) precluding procurement for transplantation occurs in up to 25% of brain-dead (BD) donors. The molecular mechanisms of DHD remain unclear. We investigated the potential role of myocardial interleukin (IL)-6 signaling through the JAK2-STAT3 pathway, which can lead to the generation of nitric oxide (NO) and decreased cardiac myocyte contractility.Hearts were procured using standard technique with University of Wisconsin (UW) solution from 14 donors with a left ventricular (LV) ejection fraction of35% (DHD). Ten hearts with normal function (NF) after BD served as controls. LV IL-6 was quantitated by enzyme-linked immunoassay (ELISA) and JAK2-STAT3 signaling was assessed by expression of phosphorylated STAT3. Inducible NO synthase (iNOS) and caspase-3 were measured by activity assays.Myocardial IL-6 expression was 8-fold greater in the DHD group vs NF controls. Phosphorylated STAT3 expression was 5-fold higher in DHD than in NF, indicating increased JAK2-STAT3 signaling. LV activity of iNOS was 2.5-fold greater in DHD than in NF. LV expression of the pro-apoptotic gene Bnip3 and caspase-3 activity were 3-fold greater in the DHD group than in the NF group.Myocardial IL-6 expression is significantly higher in the setting of DHD compared with hearts procured with normal function. This may lead to increased JAK2-STAT3 signaling and upregulation of iNOS, which has been shown to decrease cardiac myocyte contractility. Increased NO production may also lead to increased apoptosis through upregulation of Bnip3 gene expression. Increased iNOS signaling may be an important mechanism of DHD and represents a novel therapeutic target to improve cardiac function after BD.

Background Myocardial β-adrenergic receptor (β-AR) signaling is severely impaired in chronic heart failure (HF). This study was conducted to determine if left ventricular (LV) β-AR signaling could be restored after continuous-flow LV assist device (LVAD) support. Methods Twelve patients received LVADs as a bridge to transplant. Paired LV biopsy specimens were obtained at the time of LVAD implant (HF group) and transplant (LVAD group). The mean duration of LVAD support was 152 ± 34 days. Myocardial β-AR signaling was assessed by measuring adenylyl cyclase (AC) activity, total β-AR density (B max ), and G protein-coupled receptor kinase-2 (GRK2) expression and activity. LV specimens from 8 non-failing hearts (NF) were used as controls. Results Basal and isoproterenol-stimulated AC activity was significantly lower in HF vs NF, indicative of β-AR uncoupling. Continuous-flow LVAD support restored basal and isoproterenol-stimulated AC activity to levels similar to NF. B max was decreased in HF vs NF and increased to nearly normal in the LVAD group. GRK2 expression was increased 2.6-fold in HF vs NF and was similar to NF after LVAD support. GRK2 activity was 3.2-fold greater in HF vs NF and decreased to NF levels in the LVAD group. Conclusions Myocardial β-AR signaling can be restored to nearly normal after continuous-flow LVAD support. This is similar to previous data for volume-displacement pulsatile LVADs. Decreased GRK2 activity is an important mechanism and indicates that normalization of the neurohormonal milieu associated with HF is similar between continuous-flow and pulsatile LVADs. This may have important implications for myocardial recovery.

The collapse and spreading of granular columns has been the subject of sustained interest in the last years from both mechanical and geophysical communities. Yet, in spite of this intensive research, the adequate rheology allowing for a reliable continuum modeling of the dynamics of granular column collapse is still open to discussion. Essentially, continuum models rely on shallow‐water approximation for which dissipation and sedimentation processes are taken into account through the introduction of ad hoc laws. However, the rheological origin of the experimental scaling laws exhibited by the granular columns when spreading remains unclear. On these grounds, we adopt an alternative approach consisting of studying the collapse of columns of material obeying a Bingham rheology. Therefore we carried out series of numerical simulations using the Gerris Flow Solver solving the time dependent incompressible Navier‐Stokes equation in two dimensions for the specified rheology. We first check that the mass exhibit similar scaling laws as those shown by granular columns. Then we investigate in which extent rheological parameters do reflect on these scaling laws. A comparative analysis of Bingham and granular flow characteristics ensues.The collapse and spreading of granular columns has been the subject of sustained interest in the last years from both mechanical and geophysical communities. Yet, in spite of this intensive research, the adequate rheology allowing for a reliable continuum modeling of the dynamics of granular column collapse is still open to discussion. Essentially, continuum models rely on shallow‐water approximation for which dissipation and sedimentation processes are taken into account through the introduction of ad hoc laws. However, the rheological origin of the experimental scaling laws exhibited by the granular columns when spreading remains unclear. On these grounds, we adopt an alternative approach consisting of studying the collapse of columns of material obeying a Bingham rheology. Therefore we carried out series of numerical simulations using the Gerris Flow Solver solving the time dependent incompressible Navier‐Stokes equation in two dimensions for the specified rheology. We first check that the mass exhibit...

Numerical simulation of 2D periodic granular stationary flows approaching arrest are performed. The Bagnold model relating the shear stress and the shear rate is tested, while the emergence of increasingly correlated motion of the grains is shown.