Results 11 to 20 of about 2,529,562 (187)

The Application of Principal Component Analysis on Clinical and Biochemical Parameters Exemplified in Children With Congenital Adrenal Hyperplasia

Frontiers in Endocrinology, 2021
Purpose Principal component analysis (PCA) is a mathematical model which simplifies data into new, combined variables. Optimal treatment of pediatric congenital adrenal hyperplasia (CAH) remains a challenge and requires evaluation of all biochemical and ...
M. Ljubicic, André Madsen, A. Juul, K. Almstrup, T. Johannsen   +4 more
semanticscholar   +1 more source

Anisotropic Kondo line defect and ODE/IM correspondence [PDF]

SciPost Phys. 15, 248 (2023), 2021
We study the anisotropic Kondo line defects in products of chiral $SU(2)$ WZW models. We propose an ODE/IM correspondence for the anisotropic Kondo problems by considering the four-dimensional Chern Simons theory in the trigonometric case. We verify the claim both by explicit perturbative calculations in the ultraviolet and by exact WKB analysis in the
arxiv   +1 more source

Mathematical Modelling of Effects of Non-Clinical Strategies in Combating Transmission of SARS-CoV-2 in Kenya

Journal of Advances in Mathematics and Computer Science, 2023
SARS-CoV-2 is a serious problem in Kenya today. It has put an unprecedented burden on worldwide economy and public health. The rapid spread of SARS-CoV-2 has been driven predominantly by aerosol transmissions.
Akwalu Ezra Kimathi, G. Muthuri, C. Ngari   +2 more
semanticscholar   +1 more source

Minimizing the number of optimizations for efficient community dynamic flux balance analysis [PDF]

bioRxiv, 2020
Dynamic flux balance analysis uses a quasi-steady state assumption to calculate an organism’s metabolic activity at each time-step of a dynamic simulation, using the well-know technique of flux balance analysis.
J. Brunner, N. Chia
semanticscholar   +1 more source

A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations [PDF]

, 2011
The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $\dot y(t)=g(y(t))$ on $\mathbb{R}^d$ and those of the parabolic equations $\dot u=\Delta u +f(x,u,\nabla u)$ on a bounded domain $\Omega$.
Abraham R., Angenent S. B., Angenent S. B., Angenent S. B., Anosov D. V., Arroyo A., Bendixson I., Bonatti C., Bonatti C., Bonatti C., Brunovský P., Brunovský P., Brunovský P., Brunovský P., Chen X.-Y., Crovisier S., Czaja R., Dancer E. N., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fusco G., Fusco G., Fusco G., Fusco G., Galaktianov V. A., GENEVIÈVE RAUGEL, Ghrist R. W., Guckenheimer J., Hale J. K., Hale J. K., Hardt R., Hayashi S., Henry D., Henry D. B., Hirsch M. W., Hirsch M. W., Hirsch M. W., Hirsch M. W., Jolly M., Joly R., Joly R., Joly R., Mallet-Paret J., Matano H., Matano H., Matano H., Newhouse S. E., Nickel K., Nitecki Z., Palis J., Peixoto M. M., Peixoto M. M., Poláčik P., Poláčik P., Poláčik P., Poláčik P., Prizzi M., Pugh C. C., Pugh C. C., Pugh C. C., Pujals E. R., Robinson C., Robinson J. C., Rocha C., Rocha C., ROMAIN JOLY, Ruelle D., Sandstede B., Smale S., Smale S., Smale S., Smale S., Smillie J., Smith H. L., Smith H. L., Sturm C., Wolfrum M.   +79 more
core   +4 more sources

Local discontinuous Galerkin methods for fractional ordinary differential equations [PDF]

, 2014
This paper discusses the upwinded local discontinuous Galerkin methods for the one-term/multi-term fractional ordinary differential equations (FODEs).
Deng, Weihua, Hesthaven, Jan S.
core   +2 more sources

Multi-Adaptive Time-Integration [PDF]

, 2004
Time integration of ODEs or time-dependent PDEs with required resolution of the fastest time scales of the system, can be very costly if the system exhibits multiple time scales of different magnitudes.
Alexander, Anders Logg, Butcher, Dave, Dawson, Delfour, Eriksson, Eriksson, Eriksson, Eriksson, Eriksson, Eriksson, Eriksson, Estep, Estep, Estep, Estep, Flaherty, Gear, Gustafsson, Hairer, Hairer, Johnson, Logg, Makino, Osher, Shampine, Söderlind, Verwer   +28 more
core   +2 more sources

Investigation of Novel Piecewise Fractional Mathematical Model for COVID-19

Fractal and Fractional, 2022
The outbreak of coronavirus (COVID-19) began in Wuhan, China, and spread all around the globe. For analysis of the said outbreak, mathematical formulations are important techniques that are used for the stability and predictions of infectious diseases ...
Ibtehal Alazman, B. Alkahtani
semanticscholar   +1 more source

Faster Gröbner bases for Lie derivatives of ODE systems via monomial orderings [PDF]

, 2022
Symbolic computation for systems of differential equations is often computationally expensive. Many practical differential models have a form of polynomial or rational ODE system with specified outputs. A basic symbolic approach to analyze these models is to compute and then symbolically process the polynomial system obtained by sufficiently many Lie ...
arxiv   +1 more source

Analysis of a Geometrical Multiscale Blood Flow Model Based on the Coupling of ODEs and Hyperbolic PDEs

Multiscale Modeling & simulation, 2005
For the numerical simulation of the circulatory system, geometrical multiscale models based on the coupling of systems of differential equations with different spatial dimensions are becoming common practice [L. Formaggia et al., Comput. Vis. Sci., 2 (1999)
M. Fernández, V. Milišić, A. Quarteroni   +2 more
semanticscholar   +1 more source