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utilizes mathematics[ta]
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UTILITAS MATHEMATICA[ta]
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A Mechanistic Model for Long COVID Dynamics.
Mathematics (Basel). 2023 Nov;11(21):4541. doi: 10.3390/math11214541. Epub 2023 Nov 3.
Mathematics (Basel). 2023.
PMID: 38111916
Free PMC article.
We conducted a detailed mathematical analysis of the model. We also validated the model using numerical simulation with real data from the US state of Tennessee and the UK....
We conducted a detailed mathematical analysis of the model. We also validated the model using numerical simulation with real data …
An Integrated Workflow for Building Digital Twins of Cardiac Electromechanics-A Multi-Fidelity Approach for Personalising Active Mechanics.
Jung A, Gsell MAF, Augustin CM, Plank G.
Jung A, et al.
Mathematics (Basel). 2022 Mar 4;10(5):823. doi: 10.3390/math10050823. eCollection 2022 Mar 1.
Mathematics (Basel). 2022.
PMID: 35295404
Free PMC article.
In the first step, active mechanical behaviour in a given 3D EM model is represented by a purely phenomenological, low-fidelity model, which is personalised at the organ scale by calibration to clinical cavity pressure data. Then, in the second step, median traces of nodal …
In the first step, active mechanical behaviour in a given 3D EM model is represented by a purely phenomenological, low-fidelity model, which …
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Improving the Robustness of Variable Selection and Predictive Performance of Regularized Generalized Linear Models and Cox Proportional Hazard Models.
Hong F, Tian L, Devanarayan V.
Hong F, et al.
Mathematics (Basel). 2023 Feb;11(3):557. doi: 10.3390/math11030557. Epub 2023 Jan 20.
Mathematics (Basel). 2023.
PMID: 37990696
Free PMC article.
High-dimensional data applications often entail the use of various statistical and machine-learning algorithms to identify an optimal signature based on biomarkers and other patient characteristics that predicts the desired clinical outcome in biomedical research. ...In pa …
High-dimensional data applications often entail the use of various statistical and machine-learning algorithms to identify an optimal …
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Selected Applications of the Theory of Connections: A Technique for Analytical Constraint Embedding.
Johnston H, Leake C, Efendiev Y, Mortari D.
Johnston H, et al.
Mathematics (Basel). 2019 Jun;7(6):537. doi: 10.3390/math7060537. Epub 2019 Jun 12.
Mathematics (Basel). 2019.
PMID: 32483528
Free PMC article.
., Chebyshev, Legendre, etc.) and minimizing a residual at pre-defined collocation points. In this paper, we highlight the utility of ToC by introducing various problems that can be solved using this framework including: (1) analytical linear constraint optimization; (2) t …
., Chebyshev, Legendre, etc.) and minimizing a residual at pre-defined collocation points. In this paper, we highlight the utility of …
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