Under the framework of white noise analysis, the existence of scattering solutions to the abstract dynamical φ4^4 wave equations in terms of generalized operators （see Section 3 below） is proven via a combination o...Under the framework of white noise analysis, the existence of scattering solutions to the abstract dynamical φ4^4 wave equations in terms of generalized operators （see Section 3 below） is proven via a combination of the characterization for the symbol of generalized operators and the classical scattering results. In addition, some properties （Poincare invariance and irreducibility） of the solutions are discussed.展开更多
Effects of NHj concentiation, solution/soil ratio and temperature on NH_4^+adsorption were studied in a Eum-Orthic Anthrosol. The slopes of the soil NH_4^+ adsorptionisotherms and the fitted n, the coefficient for the...Effects of NHj concentiation, solution/soil ratio and temperature on NH_4^+adsorption were studied in a Eum-Orthic Anthrosol. The slopes of the soil NH_4^+ adsorptionisotherms and the fitted n, the coefficient for the adsorption intensity, and kappa, the coefficientrelated to adsorption capacity, of the Freundlich equation increased with increasing solution/soilratio (SSR) and with decreasing temperature (T). For the range of experimental conditions, the valueof delta q/delta c, the rate of change of the amount of NH_4^+ adsorbed in the soil solid phase (q)with respect to the equilibrium concentration of NH_4^+ in soil solution (c), was 0.840, indicatingthat q increased with increasing c. From 2 to 45 deg C, delta q/delta SSR, the rate of change of qwith respect to SSR, decreased from 2.598 to 1.996, showing that q increased with increasing SSR,while its increasing rate decreased with temperature. From SSR 1:1 to 20:1, delta q/delta T, therate of change of q with respect to T, decreased from -- 0.095 to -- 0.361, indicating that qdecreased with increasing temperature, and at the same time the negative effect of temperaturebecame larger as SSR increased. Thus under the experimental conditions the order of importance indetermining the amount of NH_4^+ adsorbed in the soil solid phase was delta q/delta SSR > deltaq/delta c > |delta q/delta T|, indicating that the greatest effect on the amount of NH_4^+ adsorbedwas with the solution/soil ratio; the equilibrium concentration of NH_4^+ had a lesser effect; andtemperature had the least effect.展开更多
Human immunodeficiency virus(HIV)has had an insightful impact about the state of healthiness of human immune system.Due to great improvement in drug therapy,HIV infections have been reduced by 17%over the past eight y...Human immunodeficiency virus(HIV)has had an insightful impact about the state of healthiness of human immune system.Due to great improvement in drug therapy,HIV infections have been reduced by 17%over the past eight years.It has been proved that most effective treatment HAART(Highly Active Anti Retroviral Therapy)mainly controls the diseases progression but it does not eradicate the diseases completely.Reverse Transcriptase Inhibitor drugs specially associated with virus specific Cytotoxic T-Lymphocyte(CTL)that declines with disease progression. CTL responses against AIDS pathogenesis could be potential in the dynamics of virus replication, recognition and clearance of infected cells.In this research article a mathematical model has been proposed on the basis of CTL response suppression in the chronic phase of infection due to presence of virus.We also consider the growth of the virus population from the infected CD4^+T cells budding process and from the other infected cells like macrophages and thymocytes.Our analytical and numerical studies are consistent with existing observations from allied areas.展开更多
基金supported by NSFC (10401011,10871153)China Postdoctoral Science Foundation (2005037660)
文摘Under the framework of white noise analysis, the existence of scattering solutions to the abstract dynamical φ4^4 wave equations in terms of generalized operators （see Section 3 below） is proven via a combination of the characterization for the symbol of generalized operators and the classical scattering results. In addition, some properties （Poincare invariance and irreducibility） of the solutions are discussed.
基金Project supported by the National Natural Science Foundation of China (No. 49901009).
文摘Effects of NHj concentiation, solution/soil ratio and temperature on NH_4^+adsorption were studied in a Eum-Orthic Anthrosol. The slopes of the soil NH_4^+ adsorptionisotherms and the fitted n, the coefficient for the adsorption intensity, and kappa, the coefficientrelated to adsorption capacity, of the Freundlich equation increased with increasing solution/soilratio (SSR) and with decreasing temperature (T). For the range of experimental conditions, the valueof delta q/delta c, the rate of change of the amount of NH_4^+ adsorbed in the soil solid phase (q)with respect to the equilibrium concentration of NH_4^+ in soil solution (c), was 0.840, indicatingthat q increased with increasing c. From 2 to 45 deg C, delta q/delta SSR, the rate of change of qwith respect to SSR, decreased from 2.598 to 1.996, showing that q increased with increasing SSR,while its increasing rate decreased with temperature. From SSR 1:1 to 20:1, delta q/delta T, therate of change of q with respect to T, decreased from -- 0.095 to -- 0.361, indicating that qdecreased with increasing temperature, and at the same time the negative effect of temperaturebecame larger as SSR increased. Thus under the experimental conditions the order of importance indetermining the amount of NH_4^+ adsorbed in the soil solid phase was delta q/delta SSR > deltaq/delta c > |delta q/delta T|, indicating that the greatest effect on the amount of NH_4^+ adsorbedwas with the solution/soil ratio; the equilibrium concentration of NH_4^+ had a lesser effect; andtemperature had the least effect.
基金Research is supported by the Government of India,Ministry of Science and Technology,Mathematical Science office,No.SR/S4/MS:558/08
文摘Human immunodeficiency virus(HIV)has had an insightful impact about the state of healthiness of human immune system.Due to great improvement in drug therapy,HIV infections have been reduced by 17%over the past eight years.It has been proved that most effective treatment HAART(Highly Active Anti Retroviral Therapy)mainly controls the diseases progression but it does not eradicate the diseases completely.Reverse Transcriptase Inhibitor drugs specially associated with virus specific Cytotoxic T-Lymphocyte(CTL)that declines with disease progression. CTL responses against AIDS pathogenesis could be potential in the dynamics of virus replication, recognition and clearance of infected cells.In this research article a mathematical model has been proposed on the basis of CTL response suppression in the chronic phase of infection due to presence of virus.We also consider the growth of the virus population from the infected CD4^+T cells budding process and from the other infected cells like macrophages and thymocytes.Our analytical and numerical studies are consistent with existing observations from allied areas.
