Mathematics Commons^™

(R1488) Transformation Of Glucokinase Under Variable Rate Constants And Thermal Conditions: A Mathematical Model, Mukhtar Ahmad Khanday, Roohi Bhat

Applications and Applied Mathematics: An International Journal (AAM)

The glucokinase (GK) in cells plays a pivotal role in the regulation of carbohydrate metabolism and acts as a sensor of glucose. It helps us to control glucose levels during fast and food intake conditions through triggering shifts in metabolism or cell functions. Various forms of hypoglycaemia and hyperglycaemia occur due to the transformations of the gene of the Glucokinase. The mathematical modelling of enzyme dynamics is an emerging research area to serve its role in biological investigations. Thus, it is imperative to establish a mathematical model to understand the kinetics of native and denatured forms of enzyme-GK under thermal …

Consolidation Of Mobile Sands With Ameliorants And Phytomelioration, Sharibay Toremuratov, Bakhtiyar Ismailov

Karakalpak Scientific Journal

The results of even a few experiments show the possibility of obtaining a tangible effect when jointly carrying out chemical reclamation and phytomelioration. Reliable habitation of plants is a guarantee of further long-term stopping of the movement of sand and improvement of the ecological situation.

Thus, the sand-fixing crust obtained by this method simultaneously performs several functions: it stops the movement of sand, reduces dust removal, creates favorable conditions for the growth and development of vegetation, contributes to the emergence of soil structures, the accumulation of humus, etc.

Image-Based Microbiome Profiling Differentiates Gut Microbial Metabolic States, Sarwesh Rauniyar

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Rippled Almost Periodic Behavior In An Epilepsy Model, David Chan, Candace Kent

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Identification Of Control Targets In Boolean Networks Via Computational Algebra, Alan Veliz-Cuba

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Biocontrol Of The Emerald Ash Borer: An Adapted Nicholson-Bailey Model, Michael Kerckhove, Shuheng Chen

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Building Model Prototypes From Time-Course Data, David Murrugarra, Alan Veliz-Cuba

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Mathematical Model Describing The Behavior Of Biomass, Acidity, And Viscosity As A Function Of Temperature In The Shelf Life Of Yogurt, Manuel Alvarado, Paul A. Valle, Yolocuauhtli Salazar

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

On The Relationship Between Pain Variability And Relief In Randomized Clinical Trials, Siddharth Tiwari '22

Student Publications & Research

Previous research suggests greater baseline variability is associated with greater pain relief in those who receive a placebo. However, studies that evidence this association do not control for confounding effects (natural history and regression-to-the-mean); for this reason, we analyzed data from two randomized clinical trials (Placebo I and Placebo II, N = 134) while adjusting for confounding effects via a no-treatment group. Results agree between the two placebo groups: both placebo groups showed a negligible correlation between baseline variability and adjusted response (r sp (CI 95% ) = 0.13 (−0.09, 0.37) and 0.01 (−0.15, 0.20) for Placebo I and II, …

On The Relationship Between Pain Variability And Relief In Randomized Clinical Trials, Siddharth Tiwari '22

Student Publications & Research

Previous research suggests greater baseline variability is associated with greater pain relief in those who receive a placebo. However, studies that evidence this association do not control for confounding effects (natural history and regression-to-the-mean); for this reason, we analyzed data from two randomized clinical trials (Placebo I and Placebo II, N = 134) while adjusting for confounding effects via a no-treatment group. Results agree between the two placebo groups: both placebo groups showed a negligible correlation between baseline variability and adjusted response (r sp (CI 95% ) = 0.13 (−0.09, 0.37) and 0.01 (−0.15, 0.20) for Placebo I and II, …

Methodology For Solving The Radiation Problem Proposed By Planck In Physics On The Basis Of The Principle Of Consistency, Raygul Khozhanazarova

Karakalpak Scientific Journal

1. www.quantumphysics.iop.org
2. М. Planck. Verhandl. Dtsch. phys. Ges., 1900, 2, 237-245. М. Planck. Ann. Phys., 1901, 4, 553-563.
3. M. Planck, Zur Theorie des Gesetzes der Energieverteilung im Normalspektrum, ibid., 237-245 (1900)/
4. M. Planck. Uber des Gesetz der Energieverteilung im Normalspektrum, Ann. d.Phys. 4, 553—563 (1901).
5. Maks Plank. 1858-1958: Sb. k stoletiyu so dnya rozhdeniya Maksa Planka / Pod red. A. F. Ioffe i A. T. Grigor'yana. M.: Izd-vo AN SSSR, 1958. 276 p.
6. L. Boltzmann. Populare Schriften. Leipzig 1905, p. 227.
7. M.Plank. Vvedeniye v teoreticheskuyu fiziku. Chast' pyataya. Teoriya teploty. Ob"yedinennoye nauchno-tekhnicheskoye izdatel'stvo NKTP SSSR. Glavnaya redaktsiya obshchetekhnicheskoy literatury i nomografii. …

Triangulation And Finite Element Method For A Variational Problem Inspired By Medical Imaging, Tim Komperda, Enrico Au-Yeung

DePaul Discoveries

We implement the finite element method to solve a variational problem that is inspired by medical imaging. In our application, the domain of the image does not need to be a rectangle and can contain a cavity in the middle. The standard approach to solve a variational problem involves formulating the problem as a partial differential equation. Instead, we solve the variational problem directly, using only techniques available to anyone familiar with vector calculus. As part of the computation, we also explore how triangulation is a useful tool in the process.

Graph-Theoretic Partitioning Of Rnas And Classification Of Pseudoknots-Ii, Louis Petingi

Publications and Research

Dual graphs have been applied to model RNA secondary structures with pseudoknots, or intertwined base pairs. In previous works, a linear-time algorithm was introduced to partition dual graphs into maximally connected components called blocks and determine whether each block contains a pseudoknot or not. As pseudoknots can not be contained into two different blocks, this characterization allow us to efficiently isolate smaller RNA fragments and classify them as pseudoknotted or pseudoknot-free regions, while keeping these sub-structures intact. Moreover we have extended the partitioning algorithm by classifying a pseudoknot as either recursive or non-recursive in order to continue with our research …

Awegnn: Auto-Parametrized Weighted Element-Specific Graph Neural Networks For Molecules., Timothy Szocinski, Duc Duy Nguyen, Guo-Wei Wei

Mathematics Faculty Publications

While automated feature extraction has had tremendous success in many deep learning algorithms for image analysis and natural language processing, it does not work well for data involving complex internal structures, such as molecules. Data representations via advanced mathematics, including algebraic topology, differential geometry, and graph theory, have demonstrated superiority in a variety of biomolecular applications, however, their performance is often dependent on manual parametrization. This work introduces the auto-parametrized weighted element-specific graph neural network, dubbed AweGNN, to overcome the obstacle of this tedious parametrization process while also being a suitable technique for automated feature extraction on these internally complex …

Local And 2-Local Derivations On Octonion Algebras, Allayar Allambergenov

Karakalpak Scientific Journal

The present paper is devoted to study of local and 2-local derivations on octonion algebras. We shall give a general form of local derivations on the real octonion algebra \[{\mathbb{O}_\mathbb{R}}.\] This description implies that the space of all local derivations on \[{\mathbb{O}_\mathbb{R}}\] when equipped with Lie bracket is isomorphic to the Lie algebra \[\mathfrak{s}{\mathfrak{o}_7}(\mathbb{R})\] of all real skew-symmetric \[7 \times 7\]-matrices. We also consider \[2\]-local derivations on an octonion algebra \[{\mathbb{O}_\mathbb{F}}\] over an algebraically closed field \[\mathbb{F}\] of the characteristic zero and prove that every \[2\]-local derivation on \[{\mathbb{O}_\mathbb{F}}\] is a derivation. Further, we apply these results to similar problems …

Implications Of The Links Between Demography And Ecology For The Economy Of The Republic Of Karakalpakstan, Keunimjay Allanazarov, Gulya Khodjaeva, Katherine Shields

Karakalpak Scientific Journal

This article analyzes the impact of demographic factor on territorial organization of production in rural areas of the Republic of Karakalpakstan and reveals the main trends in production development. The analysis of statistical data of rural areas is given and proposals to improve the negative situation are given. More than 1306.8 thousand people live in rural areas of the Republic of Karakalpakstan, where they are concentrated in 1187 settlements, 26 urban settlements, and 11 towns of district subordination. All this testifies to the presence of large undeveloped production reserves and huge human potential. However, due to reduction of Amudarya water …

Investigation Of The Twist Of A Yarn With A Square Structure, Liza Toreniyazova, R. Orazbayeva, D. Kadirova, R. Rakhimkhodzhaev

Karakalpak Scientific Journal

The article presents the results of a study of the effect of yarn twist on the surface density of clothing fabrics with a square structure and the filling calculation of the fabric depending on the weave. The tension in the process of weaving square fabric on a loom with short overlaps is higher relative to weaving of fabric with long overlaps. With an increase in the twist of the yarn, the surface density of the fabric, the coefficient of filling (CST) and the coefficient of connectivity of the fabric (FTC) of the square structure increase.

Current Transportation Processes In P-N-N+ - Structures Under Saturation Of Recombination Rate, Abat K. Uteniyazov, A Leyderman, M Nsanbaev, Sh Annayeva

Karakalpak Scientific Journal

In the article, the model of the recombination of non - equilibrium carriers through a pair recombination complex of the donor-acceptor pair type is studied under conditions when the concentration of such paired complexes changes (decreases) during the excitation of the material. Also, the article describes that the injection into the p-n-n⁺ - structure can lead to fundamental changes in the distribution of the concentration of free carriers, especially, to the appearance of a periodic term depending on the concentration of the sample length (instead of the usual exponential dependence).

Functional Role Of The N-Terminal Domain In Connexin 46/50 By In Silico Mutagenesis And Molecular Dynamics Simulation, Umair Khan

University Honors Theses

Connexins form intercellular channels known as gap junctions that facilitate diverse physiological roles, from long-range electrical and chemical coupling to nutrient exchange. Recent structural studies on Cx46 and Cx50 have defined a novel and stable open state and implicated the amino-terminal (NT) domain as a major contributor to functional differences between connexin isoforms. This thesis presents two studies which use molecular dynamics simulations with these new structures to provide mechanistic insight into the function and behavior of the NTH in Cx46 and Cx50. In the first, residues in the NTH that differ between Cx46 and Cx50 are swapped between the …

Algebraic Graph-Assisted Bidirectional Transformers For Molecular Property Prediction, Dong Chen, Kaifu Gao, Duc Duy Nguyen, Xin Chen, Yi Jiang, Guo-Wei Wei, Feng Pan

Mathematics Faculty Publications

The ability of molecular property prediction is of great significance to drug discovery, human health, and environmental protection. Despite considerable efforts, quantitative prediction of various molecular properties remains a challenge. Although some machine learning models, such as bidirectional encoder from transformer, can incorporate massive unlabeled molecular data into molecular representations via a self-supervised learning strategy, it neglects three-dimensional (3D) stereochemical information. Algebraic graph, specifically, element-specific multiscale weighted colored algebraic graph, embeds complementary 3D molecular information into graph invariants. We propose an algebraic graph-assisted bidirectional transformer (AGBT) framework by fusing representations generated by algebraic graph and bidirectional transformer, as well as …

Mechanisms Of Oscillations And Polyglot Entrainment In Neuronal And Circadian Models, Emel Khan

Dissertations

Entrainment is a type of synchronization in which the period of an endogenous oscillator matches the period of an external forcing signal and a stable phase relationship is maintained between them. Entrainment patterns are described in terms of the number of input oscillations (N) that are phase-locked to a number of output oscillations (M), referred to as N:M patterns. Arnold tongue diagrams are used to depict the regions of N:M entrainment patterns in the input period-amplitude parameter space. Although the entrainment of self-sustained oscillators by periodic forcing are well investigated is a well-studied problem, entrainment of damped oscillators has been …

Knowing What We Know: Leveraging Community Knowledge Through Automated Text-Mining, Justin Gardner, Jonathan Tory Toole, Hemant Kalia, Garry Spink Jr., Gordon Broderick

Advances in Clinical Medical Research and Healthcare Delivery

No abstract provided.

Spring 2021

Scientia

From the Dean: A Decade of Purpose and Progress; Lab Notes: Alumna Wins Gordon Bell Special Prize, New Scholarships, Vaccination Site Volunteers; Women in Science Lecture, National Institutes of Health Grants, "Unequal Cities" Research; All Hands on Deck: Inspired pandemic approaches showcase interdisciplinary acumen in action; Unlocking Potential: Christopher Beasley thinks psychology is key to academic transformation for the formerly incarcerated; Puzzle Master: Bridget Tenner goes to pieces solving problems in cutting-edge mathematics

Mathematical Models Of Covid-19, Kate Faria

Honors Program Theses and Projects

For more than a year, the COVID-19 pandemic has been a major public health issue, affecting the lives of most people around the world. With both people’s health and the economy at great risks, governments rushed to control the spread of the virus. Containment measures were heavily enforced worldwide until a vaccine was developed and distributed. Although researchers today know more about the characteristics of the virus, a lot of work still needs to be done in order to completely remove the disease from the population. However, this is true for most of the infectious diseases in existence, including Influenza, …

Cortical Dynamics Of Language, Kiefer Forseth

Dissertations & Theses (Open Access)

The human capability for fluent speech profoundly directs inter-personal communication and, by extension, self-expression. Language is lost in millions of people each year due to trauma, stroke, neurodegeneration, and neoplasms with devastating impact to social interaction and quality of life. The following investigations were designed to elucidate the neurobiological foundation of speech production, building towards a universal cognitive model of language in the brain. Understanding the dynamical mechanisms supporting cortical network behavior will significantly advance the understanding of how both focal and disconnection injuries yield neurological deficits, informing the development of therapeutic approaches.

Modeling The Problem Of Integral Geometry On A Family Of Hyperbolic And Spherical Curves, Azamat Pirimbetov, N. Uteuliev, G. Djaykov

Karakalpak Scientific Journal

The problems of integral geometry in a strip on a family of curves of hyperbolic and spherical type are considered which have numerous applications in problems of geophysics, thermoacoustic and photoacoustic tomography. Explicit formulas are obtained for the Fourier image of the solution of integral geometry problems in the class of smooth compactly supported functions. Further, the obtained formulas are investigated for stability using numerical methods. To solve the problems, algorithms are constructed. Numerical and graphical results of applying these algorithms to solving the problems are presented.

Understanding The Effect Of Adaptive Mutations On The Three-Dimensional Structure Of Rna, Justin Cook

Undergraduate Research and Scholarship Symposium

Single-nucleotide polymorphisms (SNPs) are variations in the genome where one base pair can differ between individuals.¹ SNPs occur throughout the genome and can correlate to a disease-state if they occur in a functional region of DNA.¹According to the central dogma of molecular biology, any variation in the DNA sequence will have a direct effect on the RNA sequence and will potentially alter the identity or conformation of a protein product. A single RNA molecule, due to intramolecular base pairing, can acquire a plethora of 3-D conformations that are described by its structural ensemble. One SNP, rs12477830, which …

Determination Of The Traits In Leguminous Crops Under Saline Condition, Tojiddin Kuliev, Karomat Ismailova

Karakalpak Scientific Journal

In this study, the variability and determination of genetic traits for winter legume crop varieties the Vostok-55 (Pisum arvense L) and Mirzachul-1 (Vicia villoza Roth L) were investigated under moderate saline soil condition. Results show that the weight of the bean was marked as variable and highly deterministic, and the height of the plants was the most stable. The selection of plants based on these traits is the most effective way of salinity. Both variety the forage pea Vostok-55 and vetch Mirzachul-1 is highly recommended as a sideration and forage crop in saline lands.

Evaluation Of Broadcast Steam Application With Mustard Seed Meal In Fruiting Strawberry, Dong Sub Kim, Steven Kim, Steven A. Fennimore

Mathematics and Statistics Faculty Publications and Presentations

Soil disinfestation with steam has potential to partially replace fumigants such as methyl bromide, chloropicrin, and 1,3-dichloropropene because it is effective, safer to apply, and has less negative impact on the environment. Here, we compared the efficacy of steam and steam + mustard seed meal (MSM) to chloropicrin on soil disinfection, plant growth, and fruit yield in a strawberry (Fragaria ×ananassa) fruiting field. The MSM was applied at 3368 kg·ha−1 before the steam application. Steam was injected into a 3-m-wide reverse tiller that was set to till 30 to 40 cm deep. Soil temperatures at depths of …

Food Security As A Factor Of Sustainable Development Of The Country, Timur Nurimbetov

Karakalpak Scientific Journal

The article examines the state of the food market and the trends in ensuring the country’s food security. The article also analyzes the regional characteristics of the agricultural products market in the Republic of Karakalpakstan. The saturation level of regional food markets has been studied. Scientific conclusions and practical recommendations on the supply of food to the population have been made.