Download or read book Mathematical Modeling in Experimental Nutrition written by Andrew J. Clifford and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nutrients have been recognized as essential for maximum growth, successful reproduction, and infection prevention since the 1940s; since that time, the lion's share of nutrient research has focused on defining their role in these processes. Around 1990, however, a major shift began in the way that researchers viewed some nutrients particularly the vitamins. This shift was motivated by the discovery that modest declines in vitamin nutritional status are associated with an increased risk of ill-health and disease (such as neural tube defects, heart disease, and cancer), especially in those populations or individuals who are genetically predisposed. In an effort to expand upon this new understanding of nutrient action, nutritionists are increasingly turning their focus to the mathematical modeling of nutrient kinetic data. The availability of suitably-tagged (isotope) nutrients (such as B-carotene, vitamin A, folate, among others), sensitive analytical methods to trace them in humans (mass spectrometry and accelerator mass spectrometry), and powerful software (capable of solving and manipulating differential equations efficiently and accurately), has allowed researchers to construct mathematical models aimed at characterizing the dynamic and kinetic behavior of key nutrients in vivo in humans at an unparalleled level of detail.

Download or read book Mathematical Modeling in Nutrition and the Health Sciences written by Janet A. Novotny and published by Springer Science & Business Media. This book was released on 2003-10-31 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the 7th Mathematical Modeling in Experimental Nutrition Conference held at Penn State University July 29 until August 1, 2000. The book addresses the determination of optimal intakes of nutrients and food components to provide lifelong health and reduce incidence of disease. Mathematical modelling provides a means of rigorously defining the functions of a system and using a variety of conditions to stimulate responses. This volume presents the newest advances in modelling and related experimental techniques required to meet the new challenges currently facing nutrition and biological science.

Download or read book Mathematical Modeling in Experimental Nutrition written by Stephen P. Coburn and published by . This book was released on 1996 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical modeling in experimental nutrition written by and published by . This book was released on 1988 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical modeling in experimental nutrition 2 written by and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Modeling in Experimental Nutrition written by Nancy L. Canolty and published by . This book was released on 1986 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Modeling in Experimental Nutrition written by Jane Hoover-Plow and published by . This book was released on 1988 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Modeling in Experimental Nutrition Vitamins Proteins Methods written by and published by Academic Press. This book was released on 1996-12-02 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book developed from a series of conferences to facilitate the application of mathematical modeling to experimental nutrition. As nutrition science moves from prevention of gross deficiencies to identifying requirements for optimum long term health, more sophisticated methods of nutritional assessment will be needed. Collection and evaluation of kinetic data may be one such method.This books opens with chapters giving specific examples of the application of modeling techniques to vitamin A, carotenoids, folate, vitamin b-6, glycogen phosphorylase, transthyretin, amino acids, and energy metabolism. Obtaining kinetic data on internal processes is a major challenge; therefore, the text includes chapters on the use of microdialysis and ultrafiltration, use of membrane vesicles, and culture of mammary tissue.Many of the authors use the Simulation, Analysis and Modeling program which allows compartmental models to be described without specifying the required differential equations. The final sections of the book, however, present some more mathematical descriptions of physiological processes, including bioperiodicity, metabolic control, and membrane transport; discussions of some computational aspects of modeling such as parameter distributions, linear integrators and identifiability; and alternative mathematical approaches such as neural networks and graph theory. - Specific, detailed examples of applications of modeling to vitamins, proteins, amino acids, and energy metabolism - Novel methods for collecting kinetic data--microdialysis, ultrafiltration, membrane vesicles, and the culture of mammary tissue - Mathematical treatment of complex metabolic processes including bioperiodicity, metabolic control, and membrane transport - Computational approaches to distribution of kinetic parameters, evaluation of linear integrators, and identifiability - Alternative mathematical approaches--neural networks and graph theory - Detailed descriptions of the application of modeling to a variety of nutrients

Download or read book Proceedings Mathematical Models in Experimental Nutrition written by Nancy L. Canolty and published by . This book was released on 1985* with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Modeling in Nutrition and Toxicology written by James Hargrove and published by Lulu.com. This book was released on 2005-03-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book reports the proceedings of the International Conference on Mathematical Modeling in Nutrition and Environmental Toxicology held at the University of Georgia in September, 2003. Experts describe the use of modeling and simulation to study problems in obesity, diabetes, cancer, nutrient metabolism, risk assessment, and toxicology. Hypothesis testing, database construction, and educational uses of computers are also discussed.

Download or read book The Mathematical Modeling of Metabolic and Endocrine Systems written by Ewart R. Carson and published by . This book was released on 1983-02-25 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the concepts, methods and techniques of model formulation, identification, and validation as applicable to metabolic and endocrine processes. Shows how modeling can be used to provide a concise description of complex dynamic processes, to test hypotheses concerning physiological and biochemical structure, and to estimate physiological quantities (parameters) that otherwise would not be directly accessible to measurement. Includes numerous examples and case studies.

Download or read book Proceedings of the Mathematical Models in Experimental Nutrition Held June 30 July 2 1985 in Athens Georgia written by University of Georgia. College of Home Economics and published by . This book was released on 1985 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical modeling in energy homeostasis appetite control and food intake with a special attention to ghrelin written by Jorge Guerra Pires and published by Jorge Guerra Pires. This book was released on 2017-03-18 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: The elegant ‘interconnected mechanisms’ by which the gastrointestinal (GI) tract regulates food intake are a marvel of biology, but the redundancy (e.g., several hormones seem to have effects in food intake) of both GI (by means of hormones) and central nervous system (CNS, by means of satiety/satiation signals) pathways governing energy homeostasis poses formidable challenges for scientists trying to take a clear glimpse of this machinery, e.g. for designing anti-obesity and alike pharmaceuticals. In essence, notwithstanding the astonishing advancements made over the past few decades in unscrambling many of the molecular pathways involved in energy (homeostasis) regulation, a rather cloudy understanding of “how all the pieces fit together to function as an integrated system” is what can be found for the most part in the scientific community; we discuss that in part II of the work, in a single chapter divided in several sections for numerous imperative hormones, e.g. cholecystokinin. The current work is divided into three parts: part I is regarding fundamentals of physiology and mathematical modeling employed all over the work; part II is more generic and concerns several hormones (what we have called a “web of hormones”) and part III (divided into three chapters) is more specific, concerning a single hormone (i.e., ghrelin). The core of the work is part III, and to a certain extent part II, bearing mind we provide a literature review based on papers scattered/dispersed all over the medical science literature. The main objective of this work is proposing a mathematical model for ghrelin dynamics (Figure 70), a model centered on the gastrointestinal tract (stomach + small intestine, a two-compartment model), with daily-like dynamics, short-term dynamics; and, simultaneously, proposing a prototype for a systems biology like model (igure 40), a model based on numerous hormones, for understanding mathematically food intake/bodyweight control. Ghrelin is a quite powerful orexigenic hormone discovered in the late 1990s that controls appetite and energy homeostasis, alongside leptin and other hormones still to be investigated in depth by the medical sciences literature. Accordingly, we provide a (simple) mathematical model, consisting of a set of ordinary differential equations detailing ghrelin dynamics combined to gastrointestinal signals due to meals. Numerical simulations are able to replicate in silico available data from the literature; additionally, we were able to fit a reduced version of the basal model to experimental data. The model is developed as a module for a bigger potential multi-compartmental structure, detailing food and energy homeostasis within a sort of "a web of hormones" (see part II and the last chapter of part III). The present contribute is to recommend a primary mathematical model for ghrelin dynamics centered in the gastrointestinal tract, with potentiality to be applied also for postabsorptive states, left mainly as future works. We go on with the model by presenting mainly two variations, further unfolding is left as future endeavor: tastants and stochastic version. We test several optimization routines for the parameter estimation procedure, hybrid algorithms (global + local search), for parameter estimation, based on data published for humans (three meals a day). For all the routines, the best is a hybrid composed of simulating annealing as global search and pattern search as local search. In the objective function (sum of the squared errors, SSE), we apply artificial neural networks (a two-layer feedforward neural network) for generating new data from the data already published, a strategy adopted to increase the data set. In the last part of the chapter about ghrelin modeling (part III), we propose several prototypes for future works based on the basal models; the model used for parameter estimation is a “minimal/reduced” model; we also provide discussions and future works for the minimal model and parameter estimation. Key-words. Ghrelin; leptin; mathematical modelling; food intake; appetite; parameter estimation.

Download or read book Computer Modelling for Nutritionists written by Mark Tomás Mc Auley and published by Springer. This book was released on 2019-10-08 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws on Mark Mc Auley’s wealth of experience to provide an intuitive step-by-step guide to the modelling process. It also provides case studies detailing the creation of biological process models. Mark Mc Auley has over 15 years’ experience of applying computing to challenges in bioscience. Currently he is employed as a Senior Lecturer in Chemical Engineering at the University of Chester. He has published widely on the use of computer modelling in nutrition and uses computer modelling to both enhance and enrich the learning experience of the students that he teaches. He has taught computer modelling to individuals at a wide variety of levels and from different backgrounds, from undergraduate nutrition students to PhD and medical students.

Download or read book Mathematical Modeling in Nutrition and the Health Sciences written by Janet A. Novotny and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the 7th Mathematical Modeling in Experimental Nutrition Conference held at Penn State University July 29 until August 1, 2000. The book addresses the determination of optimal intakes of nutrients and food components to provide lifelong health and reduce incidence of disease. Mathematical modelling provides a means of rigorously defining the functions of a system and using a variety of conditions to stimulate responses. This volume presents the newest advances in modelling and related experimental techniques required to meet the new challenges currently facing nutrition and biological science.

Download or read book FUZZY MATHEMATICAL MODELS FOR DIET written by A. Britto Manoj and published by Independent Author. This book was released on 2022-11-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A model is an absorption of truth or a portrayal of a real object or position. In other words, a model presents a clear version of something. Mathematical modeling is a branch of mathematical rationale or a discipline, which helps us in shaping the real-life problems into mathematical models and solving them accordingly. A mathematical model is developed to obtain well balanced diet for the people to be fit, active and healthy. Fuzzy mathematics present the initial count and key language for fuzzy systems and fuzzy modeling, while the fuzzy mathematical principles are developed by replacing the sets in classical mathematical theory with fuzzy sets. The fuzzy variables are used in the mathematical model with the application of ranking fuzzy numbers to obtain well balanced diet. The transportation problem is the powerful tool to match the demanding of real life. The transportation problem has the existing techniques that produce only crisp result for the problem based on transportation. A transportation problem in fuzzy is defined as a transportation problem in which the transportation costs, supply, and demand quantities are fuzzy quantities. In a fuzzy transportation problem, all parameters are fuzzy numbers. Fuzzy numbers may be natural or uncommon, heptagonal, or nonagonal. Ranking method is used to change the fuzzy number into the crisp form. This research work is developed to analysis and maintain well balanced diet using fuzzy mathematical models with fuzzy ranking methods.

Download or read book Mathematical Modeling the Life Sciences written by N. G. Cogan and published by CRC Press. This book was released on 2022-09-09 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this unique textbook is to bridge the gap between the need for numerical solutions to modeling techniques through computer simulations to develop skill in employing sensitivity analysis to biological and life sciences applications. The underpinning mathematics is minimalized. The focus is on the consequences, implementation, and application. Historical context motivates the models. An understanding of the earliest models provides insight into more complicated ones. While the text avoids getting mired in the details of numerical analysis, it demonstrates how to use numerical methods and provides core codes that can be readily altered to fit a variety of situations. Numerical scripts in both Python and MATLAB® are included. Python is compiled in Jupyter Notebook to aid classroom use. Additionally, codes are organized and available online. One of the most important skills requiring the use of computer simulations is sensitivity analysis. Sensitivity analysis is increasingly used in biomathematics. There are numerous pitfalls to using sensitivity analysis and therefore a need for exposure to worked examples in order to successfully transfer their use from mathematicians to biologists. The interconnections between mathematics and the life sciences have an extensive history. This book offers a new approach to using mathematics to model applications using computers, to employ numerical methods, and takes students a step further into the realm of sensitivity analysis. With some guidance and practice, the reader will have a new and incredibly powerful tool to use. https://www.math.fsu.edu/~cogan/Book/Codes/Codes.html