The Mathematical Modeling of Metabolic and Endocrine Systems

The Mathematical Modeling of Metabolic and Endocrine Systems PDF Author: Ewart R. Carson
Publisher:
ISBN: 9780783728346
Category :
Languages : en
Pages : 418

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The Mathematical Modeling of Metabolic and Endocrine Systems

The Mathematical Modeling of Metabolic and Endocrine Systems PDF Author: Ewart R. Carson
Publisher:
ISBN: 9780783728346
Category :
Languages : en
Pages : 418

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Book Description


The Mathematical Modeling of Metabolic and Endocrine Systems

The Mathematical Modeling of Metabolic and Endocrine Systems PDF Author: Ewart R. Carson
Publisher:
ISBN:
Category : Medical
Languages : en
Pages : 424

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Book Description
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.

Mathematical Modelling of Metabolic and Endocrine Systems

Mathematical Modelling of Metabolic and Endocrine Systems PDF Author:
Publisher:
ISBN:
Category : Endocrinology
Languages : en
Pages : 162

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Impulsive Mathematical Models of Endocrine Regulation

Impulsive Mathematical Models of Endocrine Regulation PDF Author: Alexander Medvedev
Publisher: Academic Press
ISBN: 9780128130537
Category : Technology & Engineering
Languages : en
Pages : 0

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Book Description
Impulsive Mathematical Models of Endocrine Regulation demonstrates recently-developed mathematical models portraying pulse-modulated regulation in endocrine systems, taking a pragmatic engineering stance by starting with the necessary theoretical background on analytical tools, progressing through a number of mathematical models of increasing complexity, and illustrating the feasibility and fidelity of the mathematical constructs on actual biological data. Compared to a commonplace, theory-oriented book on dynamical systems and control which typically presents a group of design or analysis techniques, the book originates from a real-life problem of fundamental value and introduces mathematical tools that have specifically been devised to solve it. Presents results on impulsive mathematical models of endocrine regulation in a systematic, comprehensive and accessible manner Introduces researchers and engineers specializing in dynamical systems to a rapidly-growing topic Provides biomedical engineering and biological researchers with mathematical modeling and analysis tools for continuous systems using episodic feedback exemplified by non-basal endocrine regulation

Thyroid Systems Engineering

Thyroid Systems Engineering PDF Author: Simon Goede
Publisher: River Publishers
ISBN: 8793609590
Category : Technology & Engineering
Languages : en
Pages : 338

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Book Description
In recent years, a considerable amount of effort has been devoted, both in industry and academia, towards the behavioral modeling, evaluation and prediction of the hypothalamus pituitary thyroid system. Thyroid Systems Engineering targets an optimal treatment of people suffering from thyroid hormone disorders. The content is motivated by in-depth observations of such patients whose rich data supported the theoretical framework arising from formal mathematical reasoning, guided by the nature of thyroid physiology. Leveraging on the insights emerging from the unique combination of an electrical engineer working with a clinical thyroidologist, and both being scientists skilled in mathematics, the authors introduce this new discipline and field of scientific investigation aptly designated as Thyroid Systems Engineering. Readers will discover that mathematics can indeed model the behavior of the hypothalamus-pituitary-thyroid (HPT) axis. Focused on modeling, each of the eighteen chapters gives the reader a notion of the application of relevant mathematics to pertinent issues encountered in mainstream thyroidology. Many cellular processes resemble the flux of variables and states in a complex multi-parameter space through time analogous to current flow in electrical networks. It is then logical to apply the principles and physical laws of electrodynamics, electrical network theory, control systems theory and signal theory to many of the biological phenomena encountered in endocrinology. Such an approach is used liberally throughout the book and successfully yields elegant solutions to a number of models presented within. This book can serve as a reference to mathematical modeling in other aspects of endocrine physiology, and as the starting point for a fundamental course in medical modeling. It will appeal to postgraduates in electrical engineering, academic physicians and biomedical researchers. Further, readers equipped with advanced calculus, electrical network theory, control theory and signal theory should be able to follow the mathematical expositions that describe thyrotropic control. They represent a new discipline based on mathematical modeling in physiology applicable to medical diagnostics, measurement and treatment to cooperate in the clinical team and realize an optimized treatment for patients.

Mathematical Modeling in Nutrition and the Health Sciences

Mathematical Modeling in Nutrition and the Health Sciences PDF Author: Janet A. Novotny
Publisher: Springer Science & Business Media
ISBN: 1441990194
Category : Computers
Languages : en
Pages : 437

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Book Description
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.

Mathematical Modeling of Endocrine Systems

Mathematical Modeling of Endocrine Systems PDF Author: Darko Stefanovski
Publisher: Frontiers Media SA
ISBN: 2889719421
Category : Medical
Languages : en
Pages : 98

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Book Description


Mathematical Modeling in Experimental Nutrition: Vitamins, Proteins, Methods

Mathematical Modeling in Experimental Nutrition: Vitamins, Proteins, Methods PDF Author:
Publisher: Academic Press
ISBN: 0080567851
Category : Mathematics
Languages : en
Pages : 385

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Book Description
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

Mathematical Modeling in Experimental Nutrition

Mathematical Modeling in Experimental Nutrition PDF Author: Andrew J. Clifford
Publisher: Springer Science & Business Media
ISBN: 1489919597
Category : Science
Languages : en
Pages : 413

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Book Description
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.

Mathematical Model of the Reproductive Endocrine System in Male Sheep

Mathematical Model of the Reproductive Endocrine System in Male Sheep PDF Author: Teuku Reza Ferasyi
Publisher:
ISBN:
Category : Livestock
Languages : en
Pages : 424

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Book Description
[Truncated abstract] The activity of the reproductive endocrine axis is the result of interactions among many organs and tissues, particularly the hypothalamus, pituitary gland and gonad. However, it depends on more than the communication between anatomical structures because it is also affected by genotype, internal factors (e.g., metabolic inputs) and external factors (e.g., photoperiod, socio-sexual cues, stress, nutrition). This multifactorial complexity makes it difficult to use animal experimentation to investigate the pathways and mechanisms involved. Therefore, in this study, I have turned to mathematical modelling. The general hypothesis was that, by modelling the hormonal feedback loop that links the hypothalamus, pituitary gland and gonad, I would be able to discover the critical control points in this homeostatic system. This would allow me to inform and direct research into the processes that control reproduction, including inputs from environmental factors. My studies began with the development of a model of the negative feedback loop through which testosterone controls the secretion of pulses of gonadotrophin-releasing hormone (GnRH) by the hypothalamus. The model incorporated two critical factors: testosterone concentration and a time delay in the inhibition of the activity of the GnRH 'pulse generator' by testosterone. The general assumptions were: i) there are two positive feedforward processes (GnRH pulses stimulate LH pulses, and, in turn, LH pulses stimulate testosterone secretion); ii) testosterone exerts negative feedback that reduces the frequency of GnRH pulses. The model incorporated a group of equations that represent the GnRH pulse generator, through which the inhibitory effect of testosterone acted to reduce GnRH pulse frequency. Simulations were run with various values for the time delay in feedback and, as model development progressed, the simulations were extended to include combinations of time delays and levels of sensitivity of the GnRH pulse generator to inhibition by testosterone. The output of the simulations showed clearly that a time delay in negative feedback, as well as the concentration of testosterone, can greatly affect the frequency of GnRH pulses and the shape of the GnRH secretory profile. Importantly, the effect of the time delay depends on the sensitivity of the pulse generator to testosterone. In addition, the simulations suggested two additional components that might be involved in the control of the GnRH pulse generator: i) a delay in the rate of adaptation to a change in steroid feedback; and ii) a minimum pulse interval (maximum frequency). These studies iii therefore suggest that the regulation of the activity of the GnRH pulse generator, and thus the frequency and profile of GnRH and LH pulses, requires interactions among these four components. These interactions should be tested in animal experimentation. In the next stage, I extended the model so I could test whether the feedback delay might involve the process of aromatization in which testosterone is converted to oestradiol at brain level. ... This information can be used to direct future experimental studies that will help us to understand the factors that underlie the dynamic behaviour of the hypothalamic and pituitary systems that control reproduction.