An Ising model in a magnetic field with a boundary

We obtain the diagonal reflection matrices for a recently introduced family of dilute ${\rm A}_L$ lattice models in which the ${\rm A}_3$ model can be viewed as an Ising model in a magnetic field. We calculate the surface free energy from the crossing-unitarity relation and thus directly obtain the critical magnetic surface exponent $\delta_s$ for $L$ odd and surface specific heat exponent for $L$ even in each of the various regimes. For $L=3$ in the appropriate regime we obtain the Ising exponent $\delta_s = -\frac{15}{7}$, which is the first determination of this exponent without the use of scaling relations.Comment: 7 pages, LaTe

UC-KSU Modular UAS Design

The objective of this project was to design and build a modular unmanned aerial system (UAS) that satisfies the requirements established by United Consulting. United Consulting provides expert consulting engineering and geotechnical services for the built environment. They are partnering with Kennesaw State University to develop new technologies that will enhance and innovate the construction environment. One example of these technologies includes a modular drone. The purpose of this drone is to be able to perform four missions. These include surveying, weld inspection, manhole probing, and thermal/infrared imaging. Key requirements were that the drone must maintain a minimum flight endurance of 30 minutes for the heaviest mission, have a connection range of a minimum of 1 mile, and can support modular equipment. The maximum budget for this project is $5000.00. The design of this modular drone required extensive literature review and benchmarking of existing drones to study and learn from the drones that are currently on the market. In addition, careful research was done on the selection of electronic components to ensure quality, reliability, and compatibility. Calculations for power, weight, flight endurance were performed to ensure the drone would perform as intended. FEA static simulations were performed to ensure structural stability of key parts. Also, connectivity and compatibility between electronic components were ensured. This progress has led to the design of a scaled 3D printed prototype. Ultimately, the goal is to fabricate and test a real prototype with the proper equipment and modules. Due to the overall expertise of the team and time constraints, this was not possible to meet in the Fall 2021 semester. A final report detailing electronic selections, design of key systems like the main drone, pulley system and mount system, wiring diagram, calculations, simulations, and fabrication procedure are provided

The importance of circulating tumor products as „liquid biopsies” in colorectal cancer

Liquid biopsies represent an array of plasma analysis tests that are studied to evaluate and identify circulating tumor products, especially circulating tumor cells (CTCs) and circulating tumor DNA (ctDNA). Examining such biomarkers in the plasma of colorectal cancer patients has attracted attention due to its clinical significance in the treatment of malignant diseases. Given that tissue samples are sometimes challenging to procure or unsatisfactory for genomic profiling from patients with colorectal cancer, trustworthy biomarkers are mandatory for guiding treatment, monitoring therapeutic response, and detecting recurrence. This review considers the relevance of flowing tumor products like circulating tumor cells (CTCs), circulating tumor DNA (ctDNA), circulating messenger RNA (mRNA), circulating micro RNA (miRNA), circulating exosomes, and tumor educated platelets (TEPs) for patients with colorectal cancer

Two Handy Geometric Prediction Methods of Cancer Growth

In present day societies, cancer is a widely spread disease that affects a large proportion of the human population, many research teams are developing algorithms to help medics to understand this disease. In particular, tumor growth has been studied from different viewpoints and different mathematical models have been proposed. Our aim is to make predictions about shape growth, where shapes are given as domains bounded by a closed curve in R2. These predictions are based on geometric properties of plane curves and vectors. We propose two methods of prediction and a comparison between them is shared. Both methods can be used to study the evolution in time of any 2D and 3D geometrical forms such as cancer skin and other types of cancer boundary. The first method is based on observations in the normal direction to the plane curve (boundary) at each point (normal method). The second method is based on observations at the growing boundaries in radial directions from the "center" of the shape (radius method). The real data consist of at least two input curves that bind a plane domain