New Solutions for Slow Moving Kinks in a Forced Frenkel–Kontorova Chain

We construct new traveling wave solutions of moving kink type for a modified, driven, dynamic Frenkel–Kontorova model, representing dislocation motion under stress. Formal solutions known so far are inadmissible for velocities below a threshold value. The new solutions fill the gap left by this loss of admissibility. Analytical and numerical evidence is presented for their existence; however, dynamic simulations suggest that they are probably unstable.     

A new,validated HPLC‐MS/MS method for the simultaneous determination of the anti‐cancer agent capecitabine and its metabolites: 5′‐deoxy‐5‐fluorocytidine, 5′‐deoxy‐5‐fluorouridine, 5‐fluorouracil and 5‐fluorodihydrouracil,in human plasma

A rapid and selective liquid chromatography/tandem mass spectrometric method was developed for the simultaneous determination of capecitabine and its metabolites 5′‐deoxy‐5‐fluorocytidine (5′‐DFCR), 5′‐deoxy‐5‐fluorouracil (5′‐DFUR), 5‐fluorouracil (5‐FU) and dihydro‐5‐fluorouracil (FUH₂) in human plasma. A 200 μL human plasma aliquot was spiked with a mixture of internal standards fludarabine and 5‐chlorouracil. A single‐step protein precipitation method was employed using 10% (v/v) trichloroacetic acid in water to separate analytes from bio‐matrices. Volumes of 20 μL of the supernatant were directly injected onto the HPLC system. Separation was achieved on a 30 × 2.1 mm Hypercarb (porous graphitic carbon) column using a gradient by mixing 10 mm ammonium acetate and acetonitrile–2‐propanol–tetrahydrofuran (1 : 3 : 2.25, v/v/v). The detection was performed using a Finnigan TSQ Quantum Ultra equipped with the electrospray ion source operated in positive and negative mode. The assay quantifies a range from 10 to 1000 ng/mL for capecitabine, from 10 to 5000 ng/mL for 5′‐DFCR and 5′‐DFUR, and from 50 to 5000 ng/mL for 5‐FU and FUH₂ using a plasma sample of 200 μL. Correlation coefficients (r²) of the calibration curves in human plasma were better than 0.99 for all compounds. At all concentration levels, deviations of measured concentrations from nominal concentration were between ?4.41 and 3.65% with CV values less than 12.0% for capecitabine, between ?7.00 and 6.59% with CV values less than 13.0 for 5′‐DFUR, between ?3.25 and 4.11% with CV values less than 9.34% for 5′‐DFCR, between ?5.54 and 5.91% with CV values less than 9.69% for 5‐FU and between ?4.26 and 6.86% with CV values less than 14.9% for FUH₂. The described method was successfully applied for the evaluation of the pharmacokinetic profile of capecitabine and its metabolites in plasma of treated cancer patients. Copyright © 2009 John Wiley & Sons, Ltd.     

Capture into resonance: a method for efficient control

To achieve large changes in adiabatic invariants using small control input, a conservative dynamical system must possess an internal resonance. Capture into resonance is an inherently probabilistic process. We propose a control method to make it more structured. We study the motion of charged particles in an electromagnetic field as an example of such a system. When the nominal dynamics brings particles close to a resonance surface, a short control pulse forces the capture of a particle into the resonance with the wave. A captured particle is transported by the wave across the energy levels. The second pulse releases a particle from the resonance when the desired energy level is achieved. We discuss the distribution of energy achieved by the method.     

Suppression of nitric oxide production in mouse macrophages by soybean flavonoids accumulated in response to nitroprusside and fungal elicitation

Background

The anti-inflammatory properties of some flavonoids have been attributed to their ability to inhibit the production of NO by activated macrophages. Soybean cotyledons accumulate certain flavonoids following elicitation with an extract of the fungal pathogen Diaporthe phaseolorum f. sp. meridionalis (Dpm). Sodium nitroprusside (SNP), a nitric oxide donor, can substitute for Dpm in inducing flavonoid production. In this study, we investigated the effect of flavonoid-containing diffusates obtained from Dpm- and SNP-elicited soybean cotyledons on NO production by lipopolysaccharide (LPS)- and LPS plus interferon-γ (IFNγ)-activated murine macrophages.

Results

Significant inhibition of NO production, measured as nitrite formation, was observed when macrophages were activated in the presence of soybean diffusates from Dpm- or SNP-elicited cotyledons. This inhibition was dependent on the duration of exposure to the elicitor. Daidzein, genistein, luteolin and apigenin, the main flavonoids present in diffusates of elicited cotyledons, suppressed the NO production by LPS + IFNγ activated macrophages in a concentration-dependent manner, with IC₅₀ values of 81.4 μM, 34.5 μM, 38.6 μM and 10.4 μM respectively. For macrophages activated with LPS alone, the IC₅₀ values were 40.0 μM, 16.6 μM, 10.4 μM and 2.8 μM, respectively. Western blot analysis showed that iNOS expression was not affected by daidzein, was reduced by genistein, and was abolished by apigenin, luteolin and Dpm- and SNP-soybean diffusates at concentrations that significantly inhibited NO production by activated macrophages.

Conclusions

These results suggest that the suppressive effect of flavonoids on iNOS expression could account for the potent inhibitory effect of Dpm- and SNP-diffusates on NO production by activated macrophages. Since the physiological concentration of flavonoids in plants is normally low, the treatment of soybean tissues with SNP may provide a simple method for substantially increasing the concentration of metabolites that are beneficial for the treatment of chronic inflammatory diseases associated with NO production.

     

Resonant chaotic mixing in a cellular flow

This Letter presents a quantitative theory of resonant mixing in time-dependent volume-preserving 3D flows using a model cellular flow introduced in T. Solomon and I. Mezic, Nature (London) 425, 376 (2003), as an example. Specifically, we show that chaotic advection is dramatically enhanced by a time-dependent perturbation for certain resonant frequencies. We compute the fraction of the mixed volume as a function of the frequency of the perturbation and show that essentially complete mixing in 3D is achieved at every resonant frequency.     

Validated assay for the simultaneous determination of the anti-cancer agent gemcitabine and its metabolite 2',2'-difluorodeoxyuridine in human plasma by high-performance liquid chromatography with tandem mass spectrometry

A sensitive and specific high-performance liquid chromatography/tandem mass spectrometry (HPLC/MS/MS) assay for the quantitative determination of gemcitabine (dFdC) and its metabolite 2',2'-difluorodeoxyuridine (dFdU) is presented. A 200-microL aliquot of human plasma was spiked with a mixture of internal standards, didanosine, lamivudine and fludarabine, and extracted using solid-phase extraction. Dried extracts were reconstituted in 1 mM ammonium acetate/acetonitrile (97:3, v/v) and 10-microL volumes were injected onto the HPLC system. Separation was achieved on a 150 x 2.1 mm C18 bonded phase endcapped with polar groups (Synergi Hydro-RP column) using an eluent composed of 1 mM ammonium acetate (pH 6.8)/acetonitrile (94:6, v/v). Detection was performed by positive ion electrospray ionization followed by MS/MS. The assay quantifies a range from 0.5 to 1000 ng/mL for gemcitabine and from 5 to 10,000 ng/mL for dFdU using 200 microL of human plasma sample. Validation results demonstrate that gemcitabine and dFdU concentrations can be accurately and precisely quantified in human plasma. This assay is used to support clinical pharmacologic studies with gemcitabine.     

Quasistatic propagation of steps along a phase boundary

We study quasistatic propagation of steps along a phase boundary in a two-dimensional lattice model of martensitic phase transitions. For analytical simplicity, the formulation is restricted to antiplane shear deformation of a cubic lattice with bi-stable interactions along one component of shear strain and harmonic interactions along the other. Energy landscapes connecting equilibrium configurations with periodic and non-periodic arrangements of steps are constructed, and the energy barriers separating metastable states are calculated. We show that a sequential one-by-one step propagation along a phase boundary requires smaller energy barriers than simultaneous motion of several steps.