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What is Monte Carlo Methods

Chapter 34
Handbook of Research on Systems Biology Applications in Medicine
A common type of computational algorithms used in many fields, such as simulation of the behaviour of physical systems. In contrast to other simulation methods, they are stochastic, i.e. based on (pseudo-) random numbers. In our case we vary the site energies with the help of a gaussian random distribution of a suitable width (100 cm-1) and calculate N (= 5000-10000) slightly different spectra. The resulting spectrum ist the sum over these random varied spectra. This procedure is done to simulate the natural line broadening, caused by disordered pigment motions.
Published in Chapter:
Photosynthesis: How Proteins Control Excitation Energy Transfer
Julia Adolphs (Freie Universität Berlin, Germany)
Copyright: © 2009 |Pages: 15
DOI: 10.4018/978-1-60566-076-9.ch034
Abstract
This chapter introduces the theory of optical spectra and excitation energy transfer of light harvesting complexes in photosynthesis. The light energy absorbed by protein bound pigments in these complexes is transferred via an exciton mechanism to the photosynthetic reaction center where it drives the photochemical reactions. The protein holds the pigments in optimal orientation for excitation energy transfer and creates an energy sink by shifting the local transition energies of the pigments. In this way, the excitation energy is directed with high efficiency (close to 100 %) to the reaction center. In the present chapter, this energy transfer is studied theoretically. Based on crystal structure data, the excitonic couplings are calculated taking into account also the polarizability of the protein. The local transition energies are obtained by two independent methods and are used to predict the orientation of the FMO protein relative to the reaction center.
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Chapter 3
The Coming Human/Machine Symbiosis, Effects on Society, and Business Planning
Using randomized methods to better to understand the limitations of a computer model.
Published in Chapter: The Coming Human/Machine Symbiosis, Effects on Society, and Business Planning; From: Forecasting and Managing Risk in the Health and Safety Sectors
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Chapter 278
History of Simulation
These are statistical simulation methods.
Published in Chapter: History of Simulation; From: Encyclopedia of Information Science and Technology, Second Edition
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Chapter 4
Correlation Between Halogens Atoms Elements, Their Positions on the Main Chain of Organic Compounds, and Corrosion Inhibition Performance
These are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results. The underlying concept is to use randomness to solve problems that might be deterministic in principle. They are often used in physical and mathematical problems and are most useful when it is difficult or impossible to use other approaches. Monte Carlo methods are mainly used in optimization, numerical integration, and generating draws from a probability distribution.
Published in Chapter: Correlation Between Halogens Atoms Elements, Their Positions on the Main Chain of Organic Compounds, and Corrosion Inhibition Performance; From: Handbook of Research on Corrosion Sciences and Engineering
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