In this paper, an error is firstly pointed out in the proof of the main theorems (Theorem 4 and Theorem 6) in [1]. Then the error is corrected and the right proof is given.
We discuss a transfer line consisting of a reliable machine, an unreliable machine and a storage buffer. This transfer line can be described by a group of partial differential equations with integral boundary conditio...We discuss a transfer line consisting of a reliable machine, an unreliable machine and a storage buffer. This transfer line can be described by a group of partial differential equations with integral boundary conditions. First we show that the operator corresponding to these equations generates a positive contraction C0-semigroup T(t), and prove that T(t) is a quasi-compact operator. Next we verify that 0 is an eigenvalue of this operator and its adjoint operator with geometric multiplicity one. Last, by using the above results we obtain that the time-dependent solution of these equations converges strongly to their steady-state solution.展开更多
Conidial fungi or molds and mildews are widely used in modern biotechnology as producers of antibiotics and other secondary metabolites,industrially important enzymes,chemicals and food.They are also important pathoge...Conidial fungi or molds and mildews are widely used in modern biotechnology as producers of antibiotics and other secondary metabolites,industrially important enzymes,chemicals and food.They are also important pathogens of animals including humans and agricultural crops.These various applications and extremely versatile natural phenotypes have led to the constantly growing list of complete genomes which are now available.Functional genomics and proteomics widely exploit the genomic information to study the cell-wide impact of altered genes on the phenotype of an organism and its function.This allows for global analysis of the information flow from DNA to RNA to protein,but it is usually not sufficient for the description of the global phenotype of an organism.More recently,Phenotype MicroArray (PM) technology has been introduced as a tool to characterize the metabolism of a (wild) fungal strain or a mutant.In this article,we review the background of PM applications for fungi and the methodic requirements to obtain reliable results.We also report examples of the versatility of this tool.展开更多
基金Supported by the Natural Scientific Research Foundation of Yunnan Province(2000A0001-1M)the Scientific Foundations of Education Commisison of Yunnan Province(9911126)
文摘In this paper, an error is firstly pointed out in the proof of the main theorems (Theorem 4 and Theorem 6) in [1]. Then the error is corrected and the right proof is given.
基金This research is supported by Excellent Youth Reward Foundation of the Higher Education Institution of Xinjiang (No: XJEDU2004E05) the Major Project of the Ministry of Education of China(No. 205180).
文摘We discuss a transfer line consisting of a reliable machine, an unreliable machine and a storage buffer. This transfer line can be described by a group of partial differential equations with integral boundary conditions. First we show that the operator corresponding to these equations generates a positive contraction C0-semigroup T(t), and prove that T(t) is a quasi-compact operator. Next we verify that 0 is an eigenvalue of this operator and its adjoint operator with geometric multiplicity one. Last, by using the above results we obtain that the time-dependent solution of these equations converges strongly to their steady-state solution.
基金Project (No.FWF P-P17859-B06) supported by the Austrian Science Foundation
文摘Conidial fungi or molds and mildews are widely used in modern biotechnology as producers of antibiotics and other secondary metabolites,industrially important enzymes,chemicals and food.They are also important pathogens of animals including humans and agricultural crops.These various applications and extremely versatile natural phenotypes have led to the constantly growing list of complete genomes which are now available.Functional genomics and proteomics widely exploit the genomic information to study the cell-wide impact of altered genes on the phenotype of an organism and its function.This allows for global analysis of the information flow from DNA to RNA to protein,but it is usually not sufficient for the description of the global phenotype of an organism.More recently,Phenotype MicroArray (PM) technology has been introduced as a tool to characterize the metabolism of a (wild) fungal strain or a mutant.In this article,we review the background of PM applications for fungi and the methodic requirements to obtain reliable results.We also report examples of the versatility of this tool.
