Endocrine therapy is well established for the treatment of breast cancer, and antiangiogenic agents are showing considerable promise. Targeting the vascular endothelial growth factor (VEGF) and estrogen receptor (ER) signaling pathways concomitantly may provide enhanced therapeutic benefit in ER-positive breast cancer. Therefore, the effects of the VEGF receptor (VEGFR) tyrosine kinase inhibito...

In [12] a Zero-Knowledge scheme ZK(2) was designed from a solution of a set of multivariate quadratic equations over a finite field. In this paper we will give two methods to generalize this construction for polynomials of any degree d, i.e. we will design two Zero-Knowledge schemes ZK(d) and ̃ ZK(d) from a set of polynomial equations of degree d. We will show that ̃ ZK(d) is optimal in term of...

We present an algorithm to compute the Euclidean minimum of an algebraic number field, which is a generalization of the algorithm restricted to the totally real case described by Cerri ([7]). With a practical implementation, we obtain unknown values of the Euclidean minima of algebraic number fields of degree up to 8 in any signature, especially for cyclotomic fields, and many new examples of n...

The rapid expansion of the use blockchain-based systems often leads to a choice between customizable private blockchains and more secure, scalable decentralized but expensive public blockchains. This represents trade-off privacy customization at low cost security, scalability, large user base high cost. In order improve scalability secure while enabling reduction, zk-rollups, layer 2 solution, ...

The paper discusses the basic principles of construction and main types zeroknowledge succinct non-interactive argument knowledge (zk-SNARK) which is used in model a three-way insecure computing environment based on sets polynomials. A number zk-SNARK cryptographic protocols with different algorithms for generating public parameters (Trusted Setup) are given, constructing proofs reliability cal...

Double rotational-echo double resonance (double REDOR) NMR was used to investigate the conformation of a (13)C-, (15)N-, and (19)F-labeled inhibitor (Berlex Biosciences compound no. ZK-806299) bound to human factor Xa. Conformationally dependent carbon-fluorine dipolar couplings were measured by (13)C[(19)F] REDOR. Natural abundance carbon signals in the full-echo spectra were removed by (13)C[...

Zk-SNARKs (succinct non-interactive zero-knowledge arguments of knowledge) are needed in many applications. Unfortunately, all previous zk-SNARKs for interesting languages are either inefficient for prover, or are non-adaptive and based on an commitment scheme that does depend both on the prover’s input and on the language, i.e., they are not commit-and-prove (CaP) SNARKs. We propose a prooffri...

Vascular endothelial growth factor receptors (VEGFR) have important roles in cancer, affecting blood and lymphatic vessel functionality as well as tumor cells themselves. We compared the efficacy of a VEGFR tyrosine kinase inhibitor, PTK787/ZK222584 (PTK/ZK), which targets the three VEGFRs, with blocking antibodies directed against VEGFR-2 (DC101) or VEGF-A (Pab85618) in a metastatic melanoma m...

Efficient zero-knowledge proofs of knowledge (ZK-PoK) are basic building blocks of many practical cryptographic applications such as identification schemes, group signatures, and secure multiparty computation. Currently, first applications that critically rely on ZK-PoKs are being deployed in the real world. The most prominent example is Direct Anonymous Attestation (DAA), which was adopted by ...