Unravelling the Turing bifurcation using spatially varying diffusion coefficients

. The Turing bifurcation is the basic bifurcation generating spatial pattern, and lies at the heart of almost all mathematical models for patterning in biology and chemistry. In this paper the authors determine the structure of this bifurcation for two coupled reaction diffusion equations on a two-dimensional square spatial domain when the diffusion coefficients have a small explicit variation in space across the domain. In the case of homogeneous diffusivities, the Turing bifurcation is highly degenerate. Using a two variable perturbation method, the authors show that the small explicit spatial inhomogeneity splits the bifurcation into two separate primary and two separate secondary bifurcations, with all solution branches distinct. This splitting of the bifurcation is more effective than that given by making the domain slightly rectangular, and shows clearly the structure of the Turing bifurcation and the way in which the! var ious solution branches collapse together as the spatial variation is reduced. The authors determine the stability of the solution branches, which indicates that several new phenomena are introduced by the spatial variation, including stable subcritical striped patterns, and the possibility that stable stripes lose stability supercritically to give stable spotted patterns.. Received: 10 January 1996/Revised version: 3 July 1996     

Tissue stretch decreases soluble TGF-beta1 and type-1 procollagen in mouse subcutaneous connective tissue: evidence from ex vivo and in vivo models

Vascular smooth muscle cells (SMC) may be directly exposed to blood flow after an endothelial-denuding injury. It is not known whether direct exposure of SMC to shear stress reduces SMC turnover and contributes to the low rate of restenosis after most vascular interventions. This study examines if laminar shear stress inhibits SMC proliferation or stimulates apoptosis. Bovine aortic SMC were exposed to arterial magnitudes of laminar shear stress (11 dynes/cm(2)) for up to 24 h and compared to control SMC (0 dynes/cm(2)). SMC density was assessed by cell counting, DNA synthesis by (3)[H]-thymidine incorporation, and apoptosis by TUNEL staining. Akt, caspase, bax, and bcl-2 phosphorylation were assessed by Western blotting; caspase activity was also measured with an in vitro assay. Analysis of variance was used to compare groups. SMC exposed to laminar shear stress had a 38% decrease in cell number (n = 4, P = 0.03), 54% reduction in (3)[H]-thymidine incorporation (n = 3, P = 0.003), and 15-fold increase in TUNEL staining (n = 4, P < 0.0001). Akt phosphorylation was reduced by 67% (n = 3, P < 0.0001), whereas bax/bcl-2 phosphorylation was increased by 1.8-fold (n = 3, P = 0.01). Caspase-3 activity was increased threefold (n = 5, P = 0.03). Pretreatment of cells with ZVAD-fmk or wortmannin resulted in 42% increased cell retention (n = 3, P < 0.01) and a fourfold increase in apoptosis (n = 3, P < 0.04), respectively. Cells transduced with constitutively-active Akt had twofold decreased apoptosis (n = 3, P < 0.002). SMC exposed to laminar shear stress have decreased proliferation and increased apoptosis, mediated by the Akt pathway. These results suggest that augmentation of SMC apoptosis may be an alternative strategy to inhibit restenosis after vascular injury.     

Factors released from embryonic stem cells inhibit apoptosis in H9c2 cells through PI3K/Akt but not ERK pathway

We recently reported that embryonic stem cells-conditioned medium (ES-CM) contains antiapoptotic factors that inhibit apoptosis in the cardiac myoblast H9c2 cells. However, the mechanisms of inhibited apoptosis remain elusive. In this report, we provide evidence for the novel mechanisms involved in the inhibition of apoptosis provided by ES-CM. ES-CM from mouse ES cells was generated. Apoptosis was induced after exposure with H(2)O(2) (400 mum) in H9c2 cells followed by the replacement with ES-CM or culture medium. H9c2 cells treated with H(2)O(2) were exposed to ES-CM, and ES-CM plus cell survival protein phosphatidylinositol 3-kinase/Akt inhibitor, LY-294002, or extracellular signal-regulated kinase (ERK1/2) inhibitor, PD-98050. After 24 h, H9c2 cells treated with ES-CM demonstrated a significant increase in cell survival. ES-CM significantly inhibited (P < 0.05) apoptosis determined by terminal deoxynucleotidyl transferase dUTP-mediated nick-end labeling staining, apoptotic ELISA, and caspase-3 activity. Importantly, enhanced cell survival and inhibited apoptosis with ES-CM was abolished with LY-294002. In contrast, PD-98050 shows no effect on ES-CM-increased cell survival. Furthermore, H(2)O(2)-induced apoptosis is associated with decreased levels of phosphorylated (p)Akt activity. Following treatment with ES-CM, we observed a decrease in apoptosis with an increase in pAkt, and the increased activity was attenuated with the Akt inhibitor, suggesting that the Akt pathway is involved in the decreased apoptosis and cell survival provided by ES-CM. In contrast, we observed no change in ES-CM-decreased apoptosis or pERK with PD-98050. In conclusion, we suggest that ES-CM inhibited apoptosis and is mediated by Akt but not the ERK pathway.     

Intradermal angiotensin II administration attenuates the local cutaneous vasodilator heating response

The vasodilation response to local cutaneous heating is nitric oxide (NO) dependent and blunted in postural tachycardia but reversed by angiotensin II (ANG II) type 1 receptor (AT(1)R) blockade. We tested the hypothesis that a localized infusion of ANG II attenuates vasodilation to local heating in healthy volunteers. We heated the skin of a calf to 42 degrees C and measured local blood flow to assess the percentage of maximum cutaneous vascular conductance (%CVC(max)) in eight healthy volunteers aged 19.5-25.5 years. Initially, two experiments were performed; in one, Ringer solution was perfused in three catheters, the response to heating was measured, 2 microg/l losartan, 10 mM nitro-l-arginine (NLA), or NLA + losartan was added to perfusate, and the heat response was remeasured; in another, 10 microM ANG II was given, the heat response was measured, losartan, NLA, or NLA + losartan was added to ANG II, and the heat response was reassessed. The heat response decreased with ANG II, particularly the plateau phase (47 +/- 5 vs. 84 +/- 3 %CVC(max)). Losartan increased baseline conductance in both experiments (from 8 +/- 1 to 20 +/- 2 and 12 +/- 1 to 24 +/- 3). Losartan increased the ANG II response (83 +/- 4 vs. 91 +/- 6 in Ringer). NLA decreased both angiotensin and Ringer responses (31 +/- 4 vs. 43 +/- 3). NLA + losartan blunted the Ringer response (48 +/- 2), but the ANG II response (74 +/- 5) increased. In a second set of experiments, we used dose responses to ANG II (0.1 nM to 10 microM) with and without NLA + losartan to confirm graded responses. Sodium ascorbate (10 mM) restored the ANG II-blunted heating plateau. NO synthase and AT(1)R inhibition cause an NO-independent angiotensin-mediated vasodilation with local heating. ANG II mediates the AT(1)R blunting of local heating, which is not exclusively NO dependent, and is improved by antioxidant supplementation.     

Litter decomposition and nitrogen mineralization of soils in subtropical plantation forests of southern China,with special attention to comparisons between legumes and non-legumes

Litter decomposition and nitrogen mineralization were investigated in subtropical plantation forests in southern China. The CO₂ –C release from incubated litter and the forest floor of Acacia mangium, Acacia auriculaeformis, Eucalyptus citriodora, Pinus elliotii and Schima superba stands were used to estimate relative rates of litter decomposition. Decomposition was not positively correlated with litter nitrogen. E. citridora litter decomposed most rapidly and A. mangium litter most slowly, both with and without the addition of exotic nitrogen. Aerobic incubation and intact soil core incubation at 30 °C over a period of 30 days were used to assess nitrogen mineralization of six forest soils. Although there were differences in results obtained using the two methods, patterns between legume and non-legume species were the same regardless of method. All soils had pH values below 4.5, but this did not prevent nitrification. The dominant form of mineral nitrogen was nitrate for legume species and ammonium for non-legume species. The nitrogen mineralization potential was highest for soils in which legumes were growing.     

Toll-like receptor 3 signaling evokes a proinflammatory and proliferative phenotype in human vascular smooth muscle cells

Inflammation plays a key role in atherogenesis, perhaps promoted by bacterial and viral products present within the artery wall. Vascular smooth muscle cells (VSMC) can express certain bacterially responsive Toll-like receptors (TLR), which promote a proinflammatory and proliferative VSMC phenotype when activated, but it is unknown whether virally activated TLR can regulate VSMC phenotype. Here we tested the role in VSMC of TLR3, which is activated by double-stranded (dsRNA), a molecular signature of viruses. VSMC from multiple vessel types, including human coronary artery (HCoASMC) and mouse aorta (MAoSMC), expressed TLR3 constitutively, and HCoASMC were exquisitely sensitive to dsRNA-stimulated release of monocyte chemoattractant protein-1 (MCP-1) and interleukin-6. dsRNA-induced MCP-1 release was abolished by small interfering RNA-mediated TLR3 knockdown in HCoASMC and was absent in TLR3-/- MAoSMC but was unimpaired in TLR2-/- and in TLR4 signaling-deficient MAoSMC. Exposure to dsRNA also activated ERK1/2 and NF-kappaB in both human and murine SMC, but these effects were absent in SMC from TLR3-deficient mice, demonstrating a crucial role of TLR3 signaling. dsRNA also stimulated proliferation of HCoASMC, indicated by increased DNA synthesis, and induced persistent elevations in the intracellular levels of growth-promoting mediators, including interleukin-1alpha and phospho-ERK1/2. We conclude that exposure of HCoASMC to dsRNA elicits dramatic TLR3-mediated proinflammatory and proproliferative phenotypic changes, responses that could potentially be triggered by viral infection of cells within the arterial wall.     

Small-scale spatial cognition in pigeons

Roberts and Van Veldhuizen's [Roberts, W.A., Van Veldhuizen, N., 1985. Spatial memory in pigeons on the radial maze. J. Exp. Psychol.: Anim. Behav. Proc. 11, 241-260] study on pigeons in the radial maze sparked research on landmark use by pigeons in lab-based tasks as well as variants of the radial-maze task. Pigeons perform well on open-field versions of the radial maze, with feeders scattered on the laboratory floor. Pigeons can also be trained to search precisely for buried food. The search can be based on multiple landmarks, but is sometimes controlled by just one or two landmarks, with the preferred landmarks varying across individuals. Findings are similar in landmark-based searching on a computer monitor and on a lab floor, despite many differences between the two kinds of tasks. A number of general learning principles are found in landmark-based searching, such as cue competition, generalization and peak shift, and selective attention. Pigeons also learn the geometry of the environment in which they are searching. Neurophysiological studies have implicated the hippocampal formation (HF) in avian spatial cognition, with the right hippocampus hypothesized to play a more important role in the spatial recognition of goal locations. Most recently, single-cell recording from the pigeon's hippocampal formation has revealed cells with different properties from the classic 'place' cells of rats, as well as differences in the two sides of the hippocampus.