Engineering a Molecular Missile for Pancreatic Cancer Detection: Vector Design

Pancreatic cancer, though rare, is expected to be the second-leading cause of cancer-related death by 2030 (Rahib et al., 2014). CA 19-9 is currently the most widely used biomarker for pancreatic cancer detection, but detection of CA 19-9 relies on the use of monoclonal antibodies, a technology that entails an expensive, lengthy, and ethically problematic manufacturing process. This paper presents the design of a DNA vector that can be used to program E. coli to produce a “molecular missile” that targets CA 19-9. Through the site-specific incorporation of an unnatural amino acid (L-DOPA), this peptide can be engineered to bind to a pancreatic cancer biomarker with strength comparable to a monoclonal antibody. By targeting a sugar molecule, this synthetic antibody will expand the potential diagnostic and therapeutic applications of its cost-effective, stable, and ethical modular design

A class of robust numerical methods for solving dynamical systems with multiple time scales

In this paper, we develop a class of robust numerical methods for solving dynamical systems with multiple time scales. We first represent the solution of a multiscale dynamical system as a transformation of a slowly varying solution. Then, under the scale separation assumption, we provide a systematic way to construct the transformation map and derive the dynamic equation for the slowly varying solution. We also provide the convergence analysis of the proposed method. Finally, we present several numerical examples, including ODE system with three and four separated time scales to demonstrate the accuracy and efficiency of the proposed method. Numerical results verify that our method is robust in solving ODE systems with multiple time scale, where the time step does not depend on the multiscale parameters

Consideration of “Creation” in Legal Finding—from the Perspective of the Application of Law and the Judicial Power

Legal finding, which limits the free discretion originally, is out of the shape under the deduction of Jurisprudence of Concepts. Teleological Jurisprudence, the Jurisprudence of Interests and Jurisprudence of Free Law etc. ie with each other to analyze and reduce the “soul” of judicial process on this condition. Even though “creation” has been elevated to the height of “life” of the law, it’s very essential to look through and consider “creation”, which is the key point of clearing the origin, from the standpoint of the limitation of statute law, activity judges possess themselves, understanding of law’s creativity and jurisdiction operation.Key words: Legal finding; Creation; Jurisdiction; Judg

Analysis of Legislative Proposals of China’s Comprehensive Transportation Law

Comprehensive transportation has become an indispensable and important part of our country’s contemporary economic and social development. At present, our country’s law on the development of comprehensive transportation and adjustment of comprehensive transportation relations is still in its infancy. Since our country’s comprehensive transportation development practice and related theoretical research are not mature, there are not many legislative experiences available for reference in this field. This article attempts to provide a certain reference and reference for the drafting and formulation of our country’s comprehensive transportation law by analyzing the necessity, feasibility and principle of the legislation

Two-parameter asymptotic expansions for elliptic equations with small geometric perturbation and high contrast ratio

We consider the asymptotic solutions of an interface problem corresponding to an elliptic partial differential equation with Dirich- let boundary condition and transmission condition, subject to the small geometric perturbation and the high contrast ratio of the conductivity. We consider two types of perturbations: the first corresponds to a thin layer coating a fixed bounded domain and the second is the per perturbation of the interface. As the perturbation size tends to zero and the ratio of the conductivities in two subdomains tends to zero, the two-parameter asymptotic expansions on the fixed reference domain are derived to any order after the single parameter expansions are solved be- forehand. Our main tool is the asymptotic analysis based on the Taylor expansions for the properly extended solutions on fixed domains. The Neumann boundary condition and Robin boundary condition arise in two-parameter expansions, depending on the relation of the geometric perturbation size and the contrast ratio