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In this book, an over view to the discrete and continuum model equations of double-stranded and double-helical is presented. They are formulated, via the transverse, longitudinal or torsional motions. Some new continuum models were constructed. The Stability analysis of some soliton of DNA dynamics model were studied via singular Sturm-Liouville Eigenvalue Problems. It was shown that the soliton wave is unstable. Thus under small disturbance dissociation of bases or the deterioration of the DNA membrane may occur.

Cyanoacetanilide derivatives are important and versatile reagents, which have especially been used for the synthesis of polyfunctionalized five- and six-membered rings and condensed heterocycles. Cyanoacetanilides are poly-functional compounds that possess both electrophilic and nucleophilic properties. The main objective of the present book is to provide a comprehensive account of the synthetic utility of N-aryl and/or heteryl cyanoacetamides in building various organic heterocycles and to highlight their potential in evolving better chemotherapeutic agents.