Abstract The elliptic curve is an important topic in number theory. In 1987, Lenstra discovered the elliptic-curve factorization method (ECM). [4] Nevertheless, until now, no research can have complete detailed codes Wolfram Mathematica. This article will state definition of curve, analyze this ECM algorithm, and build a code s Finally, completed for 1820099 by experiment, which prove that ECM,...

BACKGROUND The unique lactation strategy of the tammar wallaby (Macropus eugeni) has been invaluable in evaluating the role of lactogenic hormones and the extracellular matrix (ECM) in the local control of mammary gland function. However molecular pathways through which hormones and ECM exert their effect on wallaby mammary gland function remain unclear. This study undertakes transcriptome anal...

The extracellular matrix (ECM) consists of numerous macromolecules classified traditionally into collagens, elastin, and microfibrillar proteins, proteoglycans including hyaluronan, and noncollagenous glycoproteins. In addition to being necessary structural components, ECM molecules exhibit important functional roles in the control of key cellular events such as adhesion, migration, proliferati...

Achilles tendon rupture (ATR) is a common sports injury, and complications usually occur. Promoting self-healing and suppressing the formation of scars and adhesions are priorities when treating ATR. The dual biomimetic electrospun Wharton’s Jelly (WJ)-derived extra cellular matrix (ECM)/polycaprolactone (PCL) sub-micron fibrous band-aid was developed for this purpose. Each electrospun band-aid...

The goal of this study was to establish an optimal in vitro growth assay system for human urologica! tumor expiants. Bovine corneal endotelial cell extracellular matrix (ECM) coated dishes were evaluated as a growth substrate for tumor cultures. Growth success for different urologica! carcinomas (prostatic, bladder, kidney, and testicular) was compared after seeding fresh surgical expiants onto...

The adhesion and aggregation of platelets during hemostasis and thrombosis represents one of the best-understood examples of cell-matrix adhesion. Platelets are exposed to a wide variety of extracellular matrix (ECM) proteins once blood vessels are damaged and basement membranes and interstitial ECM are exposed. Platelet adhesion to these ECM proteins involves ECM receptors familiar in other co...

PURPOSE The bone morphogenic protein (BMP) antagonist gremlin is elevated in glaucomatous trabecular meshwork (TM) cells and tissues and elevates intraocular pressure (IOP). Gremlin also blocks BMP4 inhibition of transforming growth factor (TGF)-β2 induction of TM extracellular matrix (ECM) proteins. The purpose of this study was to determine whether Gremlin regulates ECM proteins in cultured h...

The Extracellular Matrix (ECM) undergoes changes in composition and organization during tumor progression. In breast cancer, increased deposition and cross linking-induced alignment of collagen I create a stiffer microenvironment that directly contributes to cancer invasion. While ECM stiffness-induced invasion has been documented, it remains unclear if ECM density also contributes to invasion ...

Embryonic stem cells (ESCs) have emerged as potential cell sources for tissue engineering and regeneration owing to its virtually unlimited replicative capacity and the potential to differentiate into a variety of cell types. Current differentiation strategies primarily involve various growth factor/inducer/repressor concoctions with less emphasis on the substrate. Developing biomaterials to pr...

Roots of forest trees are associated with various ectomycorrhizal (ECM) fungal species that are involved in nutrient exchange between host plant and the soil compartment. The identification of ECM fungi in small environmental samples is difficult. The present study tested the feasibility of attenuated total reflection Fourier-transform infrared (ATR-FTIR) spectroscopy followed by hierarchical c...