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Biochemical Systems Theory
Biochemical systems theory is a mathematical modelling framework for biochemical systems, based on ordinary differential equations (ODE), in which biochemical processes are represented using power-law expansions in the variables of the system. This framework, which became known as Biochemical Systems Theory, has been developed since the 1960s by Michael Savageau, Eberhard Voit and others for the systems analysis of biochemical processes. According to Cornish-Bowden (2007) they "regarded this as a general theory of metabolic control, which includes both metabolic control analysis and flux-oriented theory as special cases". Athel Cornish-BowdenMetabolic control analysis FAQ website 18 April 2007. Representation The dynamics of a species is represented by a differential equation with the structure: \frac=\sum_j \mu_ \cdot \gamma_j \prod_k X_k^\, where ''X''''i'' represents one of the ''n''''d'' variables of the model (metabolite concentrations, protein concentrations or levels of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Model
A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social sciences (such as economics, psychology, sociology, political science). The use of mathematical models to solve problems in business or military operations is a large part of the field of operations research. Mathematical models are also used in music, linguistics, and philosophy (for example, intensively in analytic philosophy). A model may help to explain a system and to study the effects of different components, and to make predictions about behavior. Elements of a mathematical model Mathematical models can take many forms, including dynamical systems, statisti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Biochemical System
Biochemistry or biological chemistry is the study of chemical processes within and relating to living organisms. A sub-discipline of both chemistry and biology, biochemistry may be divided into three fields: structural biology, enzymology and metabolism. Over the last decades of the 20th century, biochemistry has become successful at explaining living processes through these three disciplines. Almost all areas of the life sciences are being uncovered and developed through biochemical methodology and research. Voet (2005), p. 3. Biochemistry focuses on understanding the chemical basis which allows biological molecules to give rise to the processes that occur within living cells and between cells,Karp (2009), p. 2. in turn relating greatly to the understanding of tissues and organs, as well as organism structure and function.Miller (2012). p. 62. Biochemistry is closely related to molecular biology, which is the study of the molecular mechanisms of biological phenomena.Astbu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Equation
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. Mainly the study of differential equations consists of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions. Only the simplest differential equations are solvable by explicit formulas; however, many properties of solutions of a given differential equation may be determined without computing them exactly. Often when a closed-form expression for the solutions is not available, solutions may be approximated numerically using computers. The theory of d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Biochemistry
Biochemistry or biological chemistry is the study of chemical processes within and relating to living organisms. A sub-discipline of both chemistry and biology, biochemistry may be divided into three fields: structural biology, enzymology and metabolism. Over the last decades of the 20th century, biochemistry has become successful at explaining living processes through these three disciplines. Almost all areas of the life sciences are being uncovered and developed through biochemical methodology and research. Voet (2005), p. 3. Biochemistry focuses on understanding the chemical basis which allows biological molecules to give rise to the processes that occur within living cells and between cells,Karp (2009), p. 2. in turn relating greatly to the understanding of tissues and organs, as well as organism structure and function.Miller (2012). p. 62. Biochemistry is closely related to molecular biology, which is the study of the molecular mechanisms of biological phenomena.As ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
System
A system is a group of Interaction, interacting or interrelated elements that act according to a set of rules to form a unified whole. A system, surrounded and influenced by its environment (systems), environment, is described by its boundaries, structure and purpose and expressed in its functioning. Systems are the subjects of study of systems theory and other systems sciences. Systems have several common properties and characteristics, including structure, function(s), behavior and interconnectivity. Etymology The term ''system'' comes from the Latin word ''systēma'', in turn from Greek language, Greek ''systēma'': "whole concept made of several parts or members, system", literary "composition"."σύστημα" Henry George Liddell, Robert Scott, ''A Greek–English Lexicon'', on Per ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michael Savageau
Michael A. Savageau (born 3 December 1940) is a Distinguished Professor in the Departments of Microbiology & Molecular Genetics and Biomedical Engineering at The University of California, Davis. He was named Fellow of the Institute of Electrical and Electronics Engineers (IEEE) in 2013 ''for application of systems engineering concepts to molecular biology''. Early life and education Michael Antonio Savageau one of seven children, was born in Fargo, North Dakota on December 3, 1940. His father was a barber and his mother was a schoolteacher. He was an avid hockey and tennis player through high school, and he has credited sports with teaching him valuable life and professional skills. He struggled with undiagnosed dyslexia throughout his entire academic career, but he developed compensatory strategies. For example, he was unable to take notes in lecture classes, so he developed formidable concentration and memory skills. His dyslexia sparked his interest in mathematics and he e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eberhard Voit
Eberhard O. Voit (born 8 February 1953) is a Professor and David D. Flanagan Chair in Biological Systems at the Georgia Institute of Technology and a Georgia Research Alliance Eminent Scholar. He leads the Laboratory for Biological Systems Analysis. Biography Eberhard Otto Voit was born on February 8, 1953, in Dortmund, Germany. He received the Diplom (Master's of Science) in Biology (Zoology, Genetics, Mathematics; 1976), Philosophikum in Philosophy and Education (1977), Staatsexamen (Master's of Science) in Mathematics (1978), and Dr. rer. nat. (Ph.D.) in Developmental and Theoretical Biology (1981) from the University of Cologne. From 1981 to 1982, he was a postdoctoral fellow in the Department of Microbiology and Immunology at the University of Michigan, Ann Arbor, under the mentorship of Professor Michael Savageau. Voit held research and faculty positions at the University of Cologne, the University of Michigan, the Medical University of South Carolina in Charleston, an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Systems Analysis
Systems analysis is "the process of studying a procedure or business to identify its goal and purposes and create systems and procedures that will efficiently achieve them". Another view sees system analysis as a problem-solving technique that breaks down a system into its component pieces, and how well those parts work and interact to accomplish their purpose. The field of system analysis relates closely to requirements analysis or to operations research. It is also "an explicit formal inquiry carried out to help a decision maker identify a better course of action and make a better decision than they might otherwise have made." The terms analysis and synthesis stems from Greek, meaning "to take apart" and "to put together," respectively. These terms are used in many scientific disciplines, from mathematics and logic to economics and psychology, to denote similar investigative procedures. The analysis is defined as "the procedure by which we break down an intellectual or substa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Biochemical
Biochemistry or biological chemistry is the study of chemical processes within and relating to living organisms. A sub-discipline of both chemistry and biology, biochemistry may be divided into three fields: structural biology, enzymology and metabolism. Over the last decades of the 20th century, biochemistry has become successful at explaining living processes through these three disciplines. Almost all areas of the life sciences are being uncovered and developed through biochemical methodology and research. Voet (2005), p. 3. Biochemistry focuses on understanding the chemical basis which allows biological molecules to give rise to the processes that occur within living cells and between cells,Karp (2009), p. 2. in turn relating greatly to the understanding of tissues and organs, as well as organism structure and function.Miller (2012). p. 62. Biochemistry is closely related to molecular biology, which is the study of the molecular mechanisms of biological phenomena.A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Metabolic
Metabolism (, from el, μεταβολή ''metabolē'', "change") is the set of life-sustaining chemical reactions in organisms. The three main functions of metabolism are: the conversion of the energy in food to energy available to run cellular processes; the conversion of food to building blocks for proteins, lipids, nucleic acids, and some carbohydrates; and the elimination of metabolic wastes. These enzyme-catalyzed reactions allow organisms to grow and reproduce, maintain their structures, and respond to their environments. The word metabolism can also refer to the sum of all chemical reactions that occur in living organisms, including digestion and the transportation of substances into and between different cells, in which case the above described set of reactions within the cells is called intermediary (or intermediate) metabolism. Metabolic reactions may be categorized as ''catabolic'' – the ''breaking down'' of compounds (for example, of glucose to pyruvate by cel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Athel Cornish-Bowden
Athel Cornish-Bowden (born 3 April 1943) is a British biochemist known for his numerous textbooks, particularly those on enzyme kinetics and his work on metabolic control analysis. Education and career Athel Cornish-Bowden worked on pepsin catalysis. This began a life long pursuit of work on enzyme catalysis and in later years work on the control of metabolism. More recently he has also turned his attention to work related to the origin and nature of life. He obtained his D.Phil. at Oxford with Jeremy R. Knowles, and carried out post-doctoral work with Daniel E. Koshland Jr. Research Cornish-Bowden has authored over 200 peer-reviewed papers and nine textbooks on topics related to enzyme kinetics, mathematics and historical perspectives in science. According to Google Scholar, the textbook, Fundamentals of enzyme kinetics, has been cited over 3000 times by secondary sources. Cornish-Bowden's research can be divided into three primary areas: Enzyme kinetics, metabolic control, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Power-law
In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another. For instance, considering the area of a square in terms of the length of its side, if the length is doubled, the area is multiplied by a factor of four. Empirical examples The distributions of a wide variety of physical, biological, and man-made phenomena approximately follow a power law over a wide range of magnitudes: these include the sizes of craters on the moon and of solar flares, the foraging pattern of various species, the sizes of activity patterns of neuronal populations, the frequencies of words in most languages, frequencies of family names, the species richness in clades of organisms, the sizes of power outages, volcanic eruptions, human judgments of stimulus intensity and many other quantit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
