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- Cable equation (1)
- Calcium oxalate monohydrate (1)
- Car-Parrinello molecular dynamics (1)
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Articles 1 - 6 of 6
Full-Text Articles in Other Applied Mathematics
Reducing Food Scarcity: The Benefits Of Urban Farming, S.A. Claudell, Emilio Mejia
Reducing Food Scarcity: The Benefits Of Urban Farming, S.A. Claudell, Emilio Mejia
Journal of Nonprofit Innovation
Urban farming can enhance the lives of communities and help reduce food scarcity. This paper presents a conceptual prototype of an efficient urban farming community that can be scaled for a single apartment building or an entire community across all global geoeconomics regions, including densely populated cities and rural, developing towns and communities. When deployed in coordination with smart crop choices, local farm support, and efficient transportation then the result isn’t just sustainability, but also increasing fresh produce accessibility, optimizing nutritional value, eliminating the use of ‘forever chemicals’, reducing transportation costs, and fostering global environmental benefits.
Imagine Doris, who is …
Solving The Cable Equation, A Second-Order Time Dependent Pde For Non-Ideal Cables With Action Potentials In The Mammalian Brain Using Kss Methods, Nirmohi Charbe
Master's Theses
In this thesis we shall perform the comparisons of a Krylov Subspace Spectral method with Forward Euler, Backward Euler and Crank-Nicolson to solve the Cable Equation. The Cable Equation measures action potentials in axons in a mammalian brain treated as an ideal cable in the first part of the study. We shall subject this problem to the further assumption of a non-ideal cable. Assume a non-uniform cross section area along the longitudinal axis. At the present time, the effects of torsion, curvature and material capacitance are ignored. There is particular interest to generalize the application of the PDEs including and …
Force Generation And Contraction Of Random Actomyosin Bundles., Dietmar B. Oelz
Force Generation And Contraction Of Random Actomyosin Bundles., Dietmar B. Oelz
Biology and Medicine Through Mathematics Conference
No abstract provided.
Clique Topology Reveals Intrinsic Geometric Structure In Neural Correlations, Chad Giusti, Eva Pastalkova, Carina Curto, Vladimir Itskov
Clique Topology Reveals Intrinsic Geometric Structure In Neural Correlations, Chad Giusti, Eva Pastalkova, Carina Curto, Vladimir Itskov
Department of Mathematics: Faculty Publications
Detecting meaningful structure in neural activity and connectivity data is challenging in the presence of hidden nonlinearities, where traditional eigenvalue-based methods may be misleading. We introduce a novel approach to matrix analysis, called clique topology, that extracts features of the data invariant under nonlinear monotone transformations. These features can be used to detect both random and geometric structure, and depend only on the relative ordering of matrix entries. We then analyzed the activity of pyramidal neurons in rat hippocampus, recorded while the animal was exploring a 2D environment, and confirmed that our method is able to detect geometric organization using …
Molecular Dynamics Simulations Of Peptide-Mineral Interactions, Susanna Hug
Molecular Dynamics Simulations Of Peptide-Mineral Interactions, Susanna Hug
Electronic Thesis and Dissertation Repository
We present molecular dynamics (MD) simulations providing information about the mechanisms of biomineralization. We focus on osteopontin-related peptides, which inhibit the growth of calcium oxalate monohydrate (COM) the primary constituent of kidney stones.
First, we performed two ab initio MD simulations: aspartic acid (Asp) and the dimer of aspartic acid and phosphoserine (Asp-pSer) interacting with a fully hydrated COM crystal slab exposing the {100} face. For Asp we found that one of the carboxyl and the amine group both interact with the crystal surface but neither forms a stable contact during the simulation. Asp-pSer interacts preferably with its carboxyl groups …
Modeling Human Immune Response To The Lyme Disease-Causing Bacteria, Yevhen Rutovytskyy
Modeling Human Immune Response To The Lyme Disease-Causing Bacteria, Yevhen Rutovytskyy
Honors Scholar Theses
The purpose of this project is to develop and analyze a mathematical model
for the pathogen-host interaction that occurs during early Lyme disease.
Based on the known biophysics of motility of Borrelia burgdorferi and a
simple model for the immune response, a PDE model was created which tracks
the time evolution of the concentrations of bacteria and activated immune
cells in the dermis. We assume that a tick bite inoculates a highly
localized population of bacteria into the dermis. These bacteria can
multiply and migrate. The diffusive nature of the migration is assumed and
modeled using the heat equation. Bacteria …