A comparison of the actions of BIBN4096BS and CGRP 8-37 on CGRP and adrenomedullin receptors expressed on SK-N-MC, L6, Col 29 and Rat 2 cells

1. The ability of the CGRP antagonist BIBN4096BS to antagonize CGRP and adrenomedullin has been investigated on cell lines endogenously expressing receptors of known composition. 2. On human SK-N-MC cells (expressing human calcitonin receptor-like receptor (CRLR) and receptor activity modifying protein 1 (RAMP1)), BIBN4096BS had a pA 2 of 9.95 although the slope of the Schild plot (1.37±0.16) was significantly greater than 1. 3. On rat L6 cells (expressing rat CRLR and RAMP1), BIBN4096BS had a pA 2 of 9.25 and a Schild slope of 0.89±0.05, significantly less than 1. 4. On human Colony (Col) 29 cells, CGRP 8-37 had a significantly lower pA 2 than on SK-N-MC cells (7.34±0.19 (n=7) compared to 8.35±0.18, (n=6)). BIBN4096BS had a pA 2 of 9.98 and a Schild plot slope of 0.86±0.19 that was not significantly different from 1. At concentrations in excess of 3 nM, it was less potent on Col 29 cells than on SK-N-MC cells. 5. On Rat 2 cells, expressing rat CRLR and RAMP2, BIBN4096BS was unable to antagonize adrenomedullin at concentrations up to 10 μM. CGRP 8-37 had a pA 2 of 6.72 against adrenomedullin. 6. BIBN4096BS shows selectivity for the human CRLR/RAMP1 combination compared to the rat counterpart. It can discriminate between the CRLR/RAMP1 receptor expressed on SK-N-MC cells and the CGRP-responsive receptor expressed by the Col 29 cells used in this study. Its slow kinetics may explain its apparent 'non-competive' behaviour. At concentrations of up to 10 μM, it has no antagonist actions at the adrenomedullin, CRLR/RAMP2 receptor, unlike CGRP 8-37.

Structural determinants for binding to CGRP receptors expressed by human SK-N-MC and Col 29 cells:Studies with chimeric and other peptides

1. Structure-activity relationships for the binding of human α-calcitonin gene-related peptide 8-37 (hαCGRP8-37) have been investigated at the CGRP receptors expressed by human SK-N-MC (neuroblastoma) and Col 29 (colonic epithelia) cells by radioligand binding assays and functional assays (hαCGRP stimulation of adenylate cyclase). 2. On SK-N-MC cells the potency order was hαCGRP8-37 > hαCGRP19-37 = AC187 > rat amylin8-37 > hα[Tyr0]-CGRP28-37 (apparent pKBS of 7.49 ± 0.25, 5.89 ± 0.20, 6.18 ± 0.19, 5.85 ± 0.19 and 5.25 ± 0.07). The SK-N-MC receptor appeared CGRP1-like. 3. On Col 29 cells, only hαCGRP8-37 of the above compounds was able to antagonize the actions of hαCGRP (apparent pKB = 6.48 ± 0.28). Its receptor appeared CGRP2-like. 4. hα[Ala11,18]-CGRP8-37, where the amphipathic nature of the N-terminal α-helix has been reduced, bound to SK-N-MC cells a 100 fold less strongly than hαCGRP8-37. 5. On SK-N-MC cells, hαCGRP(8-18, 28-37) (M433) and mastoparan-hαCGRP28-37 (M432) had apparent pKBS of 6.64 ± 0.16 and 6.42 ± 0.26, suggesting that residues 19-27 play a minor role in binding. The physico-chemical properties of residues 8-18 may be more important than any specific side-chain interactions. 6. M433 was almost as potent as hαCGRP8-37 on Col 29 cells (apparent pKB = 6.17 ± 0.20). Other antagonists were inactive.

Bifurcation contrasts between plane Poiseuille flow and plane Magnetohydrodynamic flow

The stability characteristics of an incompressible viscous pressure-driven flow of an electrically conducting fluid between two parallel boundaries in the presence of a transverse magnetic field are compared and contrasted with those of Plane Poiseuille flow (PPF). Assuming that the outer regions adjacent to the fluid layer are perfectly electrically insulating, the appropriate boundary conditions are applied. The eigenvalue problems are then solved numerically to obtain the critical Reynolds number Rec and the critical wave number ac in the limit of small Hartmann number (M) range to produce the curves of marginal stability. The non-linear two-dimensional travelling waves that bifurcate by way of a Hopf bifurcation from the neutral curves are approximated by a truncated Fourier series in the streamwise direction. Two and three dimensional secondary disturbances are applied to both the constant pressure and constant flux equilibrium solutions using Floquet theory as this is believed to be the generic mechanism of instability in shear flows. The change in shape of the undisturbed velocity profile caused by the magnetic field is found to be the dominant factor. Consequently the critical Reynolds number is found to increase rapidly with increasing M so the transverse magnetic field has a powerful stabilising effect on this type of flow.

Bifurcation study for a vertical channel with constant flux and large aspect ratio

Using suitable coupled Navier-Stokes Equations for an incompressible Newtonian fluid we investigate the linear and non-linear steady state solutions for both a homogeneously and a laterally heated fluid with finite Prandtl Number (Pr=7) in the vertical orientation of the channel. Both models are studied within the Large Aspect Ratio narrow-gap and under constant flux conditions with the channel closed. We use direct numerics to identify the linear stability criterion in parametric terms as a function of Grashof Number (Gr) and streamwise infinitesimal perturbation wavenumber (making use of the generalised Squire’s Theorem). We find higher harmonic solutions at lower wavenumbers with a resonance of 1:3exist, for both of the heating models considered. We proceed to identify 2D secondary steady state solutions, which bifurcate from the laminar state. Our studies show that 2D solutions are found not to exist in certain regions of the pure manifold, where we find that 1:3 resonant mode 2D solutions exist, for low wavenumber perturbations. For the homogeneously heated fluid, we notice a jump phenomenon existing between the pure and resonant mode secondary solutions for very specific wavenumbers .We attempt to verify whether mixed mode solutions are present for this model by considering the laterally heated model with the same geometry. We find mixed mode solutions for the laterally heated model showing that a bridge exists between the pure and 1:3 resonant mode 2D solutions, of which some are stationary and some travelling. Further, we show that for the homogeneously heated fluid that the 2D solutions bifurcate in hopf bifurcations and there exists a manifold where the 2D solutions are stable to Eckhaus criterion, within this manifold we proceed to identify 3D tertiary solutions and find that the stability for said 3D bifurcations is not phase locked to the 2D state. For the homogeneously heated model we identify a closed loop within the neutral stability curve for higher perturbation wavenumubers and analyse the nature of the multiple 2D bifurcations around this loop for identical wavenumber and find that a temperature inversion occurs within this loop. We conclude that for a homogeneously heated fluid it is possible to have abrup ttransitions between the pure and resonant 2D solutions, and that for the laterally heated model there exist a transient bifurcation via mixed mode solutions.

Bifurcation and stability in a low-dimensional model for multiple-frequency mode-locked lasers

Recent theoretical investigations have demonstrated that the stability of mode-locked solutions of multiple frequency channels depends on the degree of inhomogeneity in gain saturation. In this article, these results are generalized to determine conditions on each of the system parameters necessary for both the stability and the existence of mode-locked pulse solutions for an arbitrary number of frequency channels. In particular, we find that the parameters governing saturable intensity discrimination and gain inhomogeneity in the laser cavity also determine the position of bifurcations of solution types. These bifurcations are completely characterized in terms of these parameters. In addition to influencing the stability of mode-locked solutions, we determine a balance between cubic gain and quintic loss, which is necessary for the existence of solutions as well. Furthermore, we determine the critical degree of inhomogeneous gain broadening required to support pulses in multiple-frequency channels. © 2010 The American Physical Society.