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Oligonucleotides represent powerful DNA-recognition tools, but the formation of undesirable "self-duplexes" becomes more probable with increasing DNA affinity. Herein, we have developed a modified nucleobase with "self-avoiding" properties. Facile methylation of guanine yields a cationic N7-methylguanine, which suppresses the formation of self-duplexes whilst improving DNA affinity through electrostatic interaction. [ABSTRACT FROM AUTHOR]

Abstract: This article part I and the forthcoming part II are concerned with the study of the Borel summability of divergent power series solutions for singular first-order linear partial differential equations of nilpotent type. Under one restriction on equations, we can divide them into two classes. In this part I, we deal with the one class and obtain the conditions under which divergent solutions are Borel summable. (The other class will be studied in part II.) In order to assure the Borel summability of divergent solutions, global analytic continuation properties for coefficients are required despite of the fact that the domain of the Borel sum is local. [Copyright &y& Elsevier]

Abstract: Under a certain restriction, singular first-order linear partial differential equations of nilpotent type with two variables are divided into two classes. In the previous paper Part I, we dealt with the one class, and comprehended that there was a close affinity between the Borel summability of divergent solutions and global analytic continuation properties for coefficients. In this Part II, we give a similar consideration on the other class. More precise global estimates than those given in Part I for coefficients will be required to prove the Borel summability of divergent solutions. [Copyright &y& Elsevier]