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Author : Mónica A. Nadal Quirós
Release : 2010
Genre : Biological transport
Kind : eBook
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Book Synopsis Parameter Estimation for Mathematical Models of Ion Transport in the Renal System by : Mónica A. Nadal Quirós
Download or read book Parameter Estimation for Mathematical Models of Ion Transport in the Renal System written by Mónica A. Nadal Quirós. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yanhong Wu
Release : 2012
Genre :
Kind : eBook
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Book Synopsis Parameter Estimation of Renal Models by : Yanhong Wu
Download or read book Parameter Estimation of Renal Models written by Yanhong Wu. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: Two parameters of the delay time and the feedback gain play important roles in understanding an important mechanism--Tubuloglomerular feedback in renal hemodynamics. A few mathematical models have been developed, where each emphasizes different parts of the renal system but all of them include these two parameters and they define these two parameters differently. An inverse problem, estimating the two parameters by combining the information of the experimental data and the simulated data from mathematical models has brought to our attention. Ditlevsen et al. estimated these two parameters by the least square distance between the spectral densities of experimental data and simulated data from their renal model for normatensive and hypertensive rats in 2005 and 2007. The main work of this thesis is to use different statistical estimation methods, Bayes linear method (BLM), maximal likelihood estimation method based on generalized-polynomial chaos expansion (MLE-GPC) and markov chain monte carlo method (MCMC), to estimate the delay time and the feedback gain in a partial differential equation model developed by Layton and Pitman. The idea of BLM is to update beliefs about adjusted expectations and adjusted variances of quantities. MLE-GPC and MCMC methods focus on probability density functions of quantities. Likely regions, consisting of plausible values of the parameters, are estimated instead of a single plausible value for each parameter and further confident intervals in Ditlevsen's papers.
Author : Benjamin James Czerwin
Release : 2021
Genre :
Kind : eBook
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Book Synopsis Modeling and Estimation for the Renal System by : Benjamin James Czerwin
Download or read book Modeling and Estimation for the Renal System written by Benjamin James Czerwin. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt: Understanding how a therapy will impact the injured kidney before being administered would be an asset to the clinical world. The work in this thesis advances the field of mathematical modeling of the kidneys to aid in this cause. The objectives of this work are threefold: 1) to develop and personalize a model to specific patients in different diseased states, via parameter estimation, in order to test therapeutic trajectories, 2) to use parameter estimation to understand the cause of different kidney diseases, differentiate between potential kidney diseases, and facilitate targeted therapies, and 3) to push forward the understanding of kidney physiology via physiology-based mathematical modeling techniques. To accomplish these objectives, we have developed two models of the kidneys: 1) a broad, steady-state, closed-loop model of the entire kidney with human physiologic parameters, and 2) a detailed, dynamic model of the proximal tubule, an important part of kidney, with rat physiologic parameters.
Author : Harold E. Layton
Release : 2011-03-20
Genre : Mathematics
Kind : eBook
Book Rating : 521/5 ( reviews)
Book Synopsis Membrane Transport and Renal Physiology by : Harold E. Layton
Download or read book Membrane Transport and Renal Physiology written by Harold E. Layton. This book was released on 2011-03-20. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume arose out of the workshop Membrane Transport and Renal Physiology, which was conducted as part of the IMA 1998-1999 program year, Mathematics in Biology. The workshop brought together physiologists, biophysicists, and applied mathematicians who share a common interest in solute and water transport in biological systems, especially in the integrated function of the kidney. Solute and water transport through cells involves fluxes across two cell membranes, usually via specialized proteins that are integral membrane components. By means of mathematical representations, transport fluxes can be related to transmembrane solute concentrations and electrochemical driving forces. At the next level of functional integration, these representations can serve as key components for models of renal transcellular transport. Ultimately, simulations can be developed for transport-dependent aspects of overall renal function. Workshop topics included solute fluxes through ion channels, cotransporters, and metabolically-driven ion pumps; transport across fiber-matrix and capillary membranes; coordinated transport by renal epithelia; the urine concetrating mechanism; and intra-renal hemodynamic control. This volume will be of interest to biological and mathematical scientists who would like a view of recent mathematical efforts to represent membrane transport and its role in renal function.
Author : Nicholas Sperelakis
Release : 2011-11-29
Genre : Science
Kind : eBook
Book Rating : 571/5 ( reviews)
Book Synopsis Cell Physiology Source Book by : Nicholas Sperelakis
Download or read book Cell Physiology Source Book written by Nicholas Sperelakis. This book was released on 2011-11-29. Available in PDF, EPUB and Kindle. Book excerpt: Cell Physiology Source Book gathers together a broad range of ideas and topics that define the field. It provides clear, concise, and comprehensive coverage of all aspects of cellular physiology from fundamental concepts to more advanced topics. The 4e contains substantial new material. Most chapters have been thoroughly reworked. The book includes chapters on important topics such as sensory transduction, the physiology of protozoa and bacteria, and synaptic transmission. Authored by leading researchers in the field Clear, concise, and comprehensive coverage of all aspects of cellular physiology, from fundamental concepts to more advanced topics Full color illustrations
