PDES may refer to Process Development Execution System systems supporting the execution of high tech manufacturing process developments ISO 10303 Partial differential equations disamb ... more details
tactical . Example PDES usage during semiconductor device development New ideas for manufacturing ... devices, for example, a Microelectromechanical systems MEMS sensor or actuator. A PDES offers an easy ..., and previous results can be taken into account more efficiently. A PDES typically offers means ... steps, machines, experiments, documents and pictures. The PDES also provides a way to relate entities ... phase from process steps to process flows, a PDES can help to easily build, store, print, and transfer ... building blocks can dramatically reduce the design time and the probability of errors. A PDES demonstrates ... to check newly developed process flows. For a PDES, this means it has to be able to manage rules ... fabrication , a PDES is able to manage simulation models for process steps. Usually the simulation ... fabrication environment. A PDES allows a transfer of the process flow to the fabrication .... On the other hand a PDES is able to manage and document last minute changes to the flow ... or simple text files containing rows and columns of data. The PDES is able to manage these files .... Paired with flexible text, and graphical retrieval and search methods, a PDES provides the mechanism ... more details
Unreferenced date December 2009 Context see discussion date October 2009 In classical physics , a free field is a field whose equations of motion are given by linear partial differential equation s. Such linear PDE s have a unique solution for a given initial condition. In quantum field theory , an operator valued distribution is a free field if it satisfies some linear partial differential equation s such that the corresponding case of the same linear PDEs for a classical field i.e. not an operator would be the Euler Lagrange equation for some quadratic Lagrangian . We can differentiate distributions by defining their derivatives via differentiated test function s. See Schwartz distribution for more details. Since we are dealing not with ordinary distributions but operator valued distributions, it is understood these PDEs aren t constraints on states but instead a description of the relations among the smeared fields. Beside the PDEs, the operators also satisfy another relation, the commutation anticommutation relations. Basically, commutator for boson s anticommutator for fermions of two smeared fields is i times the Peierls bracket of the field with itself which is really a distribution, not a function for the PDEs smeared over both test functions. This has the form of a CCR CAR algebra . CCR CAR algebras with infinitely many degrees of freedom have many inequivalent irreducible unitary representations. If the theory is defined over Minkowski space , we may choose the unitary irrep containing a vacuum state although that isn t always necessary. Example Let be an operator valued distribution and the Klein Gordon PDE be math partial mu partial mu phi m 2 phi 2 0 math . This is a bosonic field. Let s call the distribution given by the Peierls bracket . Then, math phi x , phi y Delta x y math where here, is a classical field and , is the Peierls bracket. Then, the canonical commutation relation relation is math phi f , phi g i Delta f,g , math . Note that is a ... more details
Yaroslav Borisovich Lopatinskii 1906 1981 was a Russia n mathematician. Born in Tbilisi , Lopatinskii acquired wide acclaim for his contributions to the theory of differential equation s. He is especially known for his condition of stability for boundary value problems in elliptic equations and for initial boundary value problems in evolution PDEs. File , .jpg thumb Yaroslav Lopatinskii, memorial. References http www history.mcs.st and.ac.uk Biographies Lopatynsky.html Persondata Metadata see Wikipedia Persondata . NAME Lopatynsky, Yaroslav ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1906 PLACE OF BIRTH DATE OF DEATH 1981 PLACE OF DEATH DEFAULTSORT Lopatynsky, Yaroslav Category 1906 births Category 1981 deaths Category Russian mathematicians Category Mathematical analysts russia mathematician stub ht Yaroslav Lopatynsky lv Jaroslavs Lopatinskis ru , uk ... more details
Numerical partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations PDEs . Numerical techniques for solving PDEs include the following The finite difference method , in which functions are represented by their values at certain grid points and derivatives are approximated through differences in these values. The method of lines , where all but one variable is discretized. The result is a system of ODEs in the remaining continuous variable. The finite element method , where functions are represented in terms of basis functions and the PDE is solved in its integral weak form. The finite volume method , which divides space into regions or volumes and computes the change within each volume by considering the flux flow rate across the surfaces of the volume. The spectral method , which represents functions as a sum of particular basis functions, for example using a Fourier series . Meshfree methods don t need a grid to work and so may be better suited for some problems. However the computational effort is usually higher. Domain decomposition methods solve boundary value problems by splitting them into smaller boundary value problems on subdomains and iterating to coordinate the solution between the subdomains. Multigrid method s solve differential equations using a hierarchy of discretizations. The finite difference method is often regarded as the simplest method to learn and use. The finite element and finite volume methods are widely used in engineering and in computational fluid dynamics , and are well suited to problems in complicated geometries. Spectral methods are generally the most accurate, provided that the solutions are sufficiently smooth. Numerical PDE See also List of numerical analysis topics Numerical partial differential equations Numerical ordinary differential equations External links http ocw.mit.edu courses aeronautics and astronautics 16 920j numerical methods for partial ... more details
In the mathematics mathematical field of functional analysis , the Eberlein mulian theorem named after William Frederick Eberlein and Witold Lwowitsch Schmulian is a result that relates three different kinds of weak topology weak compact space compactness in a Banach space . Statement of the theorem Types of Weak Compactness A set A can be weakly compact in three different ways Compact space Compactness or Ernst Leonard Lindel f Lindel f compactness Every open cover of A admits a finite subcover. Sequentially compact space Sequential compactness Every sequence from A has a convergent subsequence whose limit is in A . Limit point compact ness Every infinite subset of A has a limit point in A . The Eberlein mulian Theorem The Eberlein mulian theorem states that the three are equivalent on a Banach space. While this equivalence is true in general for a metric space , the weak topology is not metrizable in infinite dimensional vector spaces, and so the Emerlein mulian theorem is needed. Applications This theorem is important in the theory of Partial Differential Equations PDEs , and particularly in Sobolev spaces . Many Sobolev spaces are Reflexive space reflexive Banach spaces and therefore bounded subsets are weakly precompact by Kakutani s theorem . Thus the Eberlein mulian theorem implies that bounded subsets are weakly precompact, and therefore have limits in the weak sense. Since most PDEs only have solutions in the weak sense, the Eberlein mulian theorem is an important step in deciding which spaces of weak solutions to use in solving a PDE. References citation title Sequences and series in Banach spaces first Joseph last Diestel publisher Springer Verlag year 1984 isbn 0 387 90859 5 . citation first1 N. last1 Dunford first2 J.T. last2 Schwartz title Linear operators, Part I publisher Wiley Interscience year 1958 . citation title An elementary proof of the Eberlein Smulian theorem last Whitley first R.J. year 1967 journal Mathematische Annalen volume 172 pa ... more details
Orphan date February 2009 Infobox scientist name Miroslav Krstic image caption birth date birth place death date death place residence citizenship nationality Serbs Serbian ethnicity fields Control theory workplaces University of California, San Diego alma mater doctoral advisor academic advisors doctoral students notable students known for influences influenced awards religion signature filename only footnotes Miroslav Krstic is an Serbs Serbian control theorist and a professor in the Department of Mechanical & Aerospace Engineering at the University of California, San Diego . He received B.S. 1989 from the University of Belgrade University of Belgrade Faculty of Electrical Engineering Faculty of Electrical Engineering . Krstic is an internationally renowned expert in the boundary control of partial differential equations . ref cite book last Krstic first Miroslav title Boundary Control of Pdes publisher Society for Industrial and Applied Mathematic location City year 2008 isbn 0898716500 ref Publications 1995. Nonlinear and adaptive control design . With Ioannis Kanellakopoulos and Petar Kokotovi . 1998. Stabilization of nonlinear uncertain systems . With Hua Deng. 2003. Flow control by feedback stabilization and mixing . With Ole Morten Aamo. 2003. Real time optimization by extremum seeking control . With Kartik B. Ariyur. 2008. Boundary control of PDEs a course on backstepping designs . With Andrey Smyshlyaev. 2008. Control of turbulent and magnetohydrodynamic channel flows boundary stabilization and state estimation . With Rafael Vazquez. References reflist External links http flyingv.ucsd.edu Home page of Miroslav Krstic Petar V. Kokotovic Petar Kokotovic Persondata Metadata see Wikipedia Persondata . NAME Krstic, Miroslav ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Krstic, Miroslav Category Control theorists Category Living people Category University of Belgrade Faculty of Electrical Engineering al ... more details
inhibitor . ref name Svidasulta br The crystal structure of the catalytic domains of several PDEs ... by residues that are highly conserved among all PDEs. This pocket is the active site and is composed ... br The N terminal portions of PDEs are widely divergent and contain determinants that are associated .... ref name Svidasulta br When different PDEs were first identified, two types of PDEs PDE3 ... molecular mechanism of cyclic nucleotide specificity of PDEs is the so called glutamine switch mechanism. br In the PDEs that have had their structure solved, there seems to be an invariant ... adenine binding cAMP selectivity. In PDEs that can hydrolyse both cGMP and cAMP PDE3s , the glutamine ... more details
of dimension 1. Solution Under broad assumptions, parabolic PDEs as given above have solutions for all ... parabolic equation One may occasionally wish to consider PDEs of the form math u t Lu, math ... the reflection of singularities of solutions to various other PDEs ref citation first M. E. last Taylor ... more details
This is a list of partial differential equation topics , by Wikipedia page. General topics Partial differential equation Boundary condition Boundary value problem Dirichlet problem , Dirichlet boundary condition Neumann boundary condition Stefan problem Wiener Hopf problem Separation of variables Green s function Elliptic partial differential equation Singular perturbation Cauchy Kovalevskaya theorem H principle Atiyah Singer index theorem B cklund transform Viscosity solution Weak solution Specific partial differential equations Euler equations Hamilton Jacobi equation , Hamilton Jacobi Bellman equation Heat equation Laplace s equation Laplace operator Harmonic function Spherical harmonic Poisson integral formula Klein Gordon equation Korteweg de Vries equation Maxwell s equations Navier Stokes equations Poisson s equation Primitive equations hydrodynamics Schr dinger equation Wave equation For a more complete list of named equations, see list of equations and list of nonlinear partial differential equations . Numerical methods for PDEs Finite difference Finite element method Finite volume method Boundary element method Multigrid Spectral method Computational fluid dynamics Alternating direction implicit Related areas of mathematics Calculus of variations Harmonic analysis Ordinary differential equation Sobolev space See in general list of numerical analysis topics . Category Partial differential equations Category Mathematics related lists Partial differential equations ... more details
This is a list of contributors to the mathematical background for general relativity. For ease of readability, the contributions in brackets are unlinked but can be found in the contributors article. compactTOC2 B Luigi Bianchi Bianchi identities, Bianchi groups, differential geometry C lie Cartan curvature computation, early extensions of GTR, Cartan geometries Elwin Bruno Christoffel connections, tensor calculus, Riemannian geometry Clarissa Marie Claudel http en.scientificcommons.org 21763238 Geometry of photon surfaces E Luther P. Eisenhart semi Riemannian geometries Frank B. Estabrook Wahlquist Estabrook approach to solving PDEs see also parent list Leonhard Euler Euler Lagrange equation, from which the geodesic equation is obtained G Carl Friedrich Gauss curvature, theory of surfaces, intrinsic vs. extrinsic K Martin Kruskal inverse scattering transform see also parent list L Joseph Louis Lagrange Lagrangian mechanics, Euler Lagrange equation Tullio Levi Civita tensor calculus, Riemannian geometry see also parent list Andr Lichnerowicz tensor calculus, transformation groups M Alexander Macfarlane space analysis and Algebra of Physics Jerrold E. Marsden linear stability N Isaac Newton Newton s identities for characteristic of Einstein tensor R Gregorio Ricci Curbastro Ricci tensor, differential geometry Georg Bernhard Riemann Riemannian geometry, Riemann curvature tensor S Richard Schoen Yamabe problem see also parent list Corrado Segre Segre classification W Hugo D. Wahlquist Wahlquist Estabrook algorithm see also parent list Hermann Weyl Weyl tensor, gauge theories see also parent list Eugene P. Wigner stabilizers in Lorentz group See also Contributors to differential geometry Contributors to general relativity Category Physics lists ... more details
A separable partial differential equation PDE is one that can be broken into a set of separate equations of lower dimensionality fewer independent variables by a method of separation of variables . This generally relies upon the problem having some special form or symmetry . In this way, the PDE can be solved by solving a set of simpler PDEs, or even ordinary differential equation s ODEs if the problem can be broken down into one dimensional equations. This should not be confused with the case of a separable ODE, which refers to a somewhat different class of problems that can be broken into a pair of integral s see separation of variables . Example For example, consider the time independent Schr dinger equation math nabla 2 V mathbf x psi mathbf x E psi mathbf x math for the function math psi mathbf x math in dimensionless units, for simplicity . Equivalently, consider the inhomogeneous Helmholtz equation . If the function math V mathbf x math in three dimensions is of the form math V x 1,x 2,x 3 V 1 x 1 V 2 x 2 V 3 x 3 , math then it turns out that the problem can be separated in to three one dimensional ODEs for functions math psi 1 x 1 math , math psi 2 x 2 math , and math psi 3 x 3 math , and the final solution can be written as math psi mathbf x psi 1 x 1 cdot psi 2 x 2 cdot psi 3 x 3 math . More generally, the separable cases of the Schr dinger equation were enumerated by Eisenhart in 1948. ref L. P. Eisenhart, Enumeration of potentials for which one particle Schrodinger equations are separable, Phys. Rev. 74 , 87 89 1948 . ref References references Category Differential equations ... more details
The A kinase anchor proteins AKAPs are a group of structurally diverse proteins , which have the common function of binding to the regulatory subunit of protein kinase A PKA and confining the holoenzyme to discrete locations within the cell. At least 20 AKAPs have been cloned. ref cite journal author Schwartz JH title The many dimensions of cAMP signaling journal Proc. Natl. Acad. Sci. U.S.A. volume 98 issue 24 pages 13482 4 year 2001 month November pmid 11717418 doi 10.1073 pnas.251533998 url pmc 61065 ref There are at least 50 members. Often named after their MW. AKAP1 AKAP2 AKAP3 AKAP4 AKAP5 AKAP6 AKAP7 AKAP8 AKAP9 AKAP10 AKAP11 AKAP12 AKAP13 Function AKAPs act as targeting devices that assemble signaling elements on a scaffold that itself targets to microdomains in cells. This allows specific targeting of substrates to be regulated by phosphorylation by PKA and dephosphorylation by phosphatases . PKA binds directly to an AKAP by its regulatory subunits RI , RII , RI , RII to an amphipathic helix to which all AKAPs have in common. The AKAPs also bind other components including phosphodiesterases PDEs which break down cAMP, phosphatases which dephosphorylate downstream PKA targets and also other kinases PKC and MAPK . Some AKAPs are able to bind both regulatory subunits RI & RII of PKA and are dual specific AKAPs D AKAP1 and D AKAP2 References reflist DEFAULTSORT Akap Category Proteins protein stub ... more details
Isogeometric analysis is a recently developed computational approach that offers the possibility of integrating finite element analysis FEA into conventional NURBS based CAD design tools. Currently, it is necessary to convert data between CAD and FEA packages to analyse new designs during development, a difficult task since the computational geometric approach for each is different. Isogeometric analysis employs complex NURBS geometry the basis of most CAD packages in the FEA application directly. This allows models to be designed, tested and adjusted in one go, using a common data set. ref name cottrell cite book last Cottrell first J. Austin coauthors Thomas J.R. Hughes , Yuri Bazilevs title Isogeometric Analysis Toward Integration of CAD and FEA publisher John Wiley & Sons date October 2009 pages isbn 978 0 470 74873 2 url http as.wiley.com WileyCDA WileyTitle productCd 0470748737.html accessdate 2009 09 22 ref The pioneers of this technique are Thomas J.R. Hughes Tom Hughes and his group at the University of Texas at Austin . ref cite journal last Hughes first T.J.R. coauthors J.A. Cottrell, Y. Bazilevs year 2005 title Isogeometric analysis CAD, finite elements, NURBS,exact geometry and mesh refinement journal Comput. Methods Appl. Mech. Engrg. publisher Elsevier volume 194 pages 4135 4195 url http home.zcu.cz danek DATA diplomka hughes.pdf ref A reference free software implementation of some isogeometric analysis methods is GeoPDEs ref name geopdes Cite web url http geopdes.sourceforge.net title GeoPDEs a free software tool for isogeometric analysis of PDEs accessdate November 7, 2010 year 2010 ref . References reflist External links http ses2007.tamu.edu plenary.php?action show&plen 19 SES 2007 Plenary Lecturer Thomas Hughes http www.freepatentsonline.com y2009 0024370.html U.S. Patent Method and System for Performing T Spline Based Isogeometric Analysis http geopdes.sourceforge.net GeoPDEs a free software tool for Isogeometric Analysis based on Octave Categor ... more details
Expert subject multiple Mathematics Systems date February 2010 By the term multidimensional systems or m D systems we mean the branch of mathematical systems theory where not only one Variable mathematics variable exists like time , but several independent variables. Important problems like factorization and Stability theory stability have recently attracted the interest of many researchers and practitioners. The reason is that the factorization and stability of m D systems m     1 is not a straightforward extension of the factorization and stability of 1 D systems because for example the fundamental theorem of algebra does not exist in the Ring mathematics ring of m D m     1 polynomials . Applications Multidimensional systems or m D systems are the necessary mathematical background for modern digital image processing with many applications in biomedicine , X ray technology and satellite communications . There are also some studies combining m D systems with partial differential equations PDEs . References cite book editor last Tzafestas editor first S.G. title Multidimensional Systems Techniques and Applications publisher Marcel Dekker location New York date 1986 cite book last Kaczorek first T. title Two Dimensional Linear Systems publisher Springer Verlag series Lecture Notes Contr. and Inform. Sciences volume 68 date 1985 cite book editor last Bose editor first N.K. title Multidimensional Systems Theory, Progress, Directions and Open Problems in Multidimensional Systems publisher D. Reidel Publishing Company location Dordrecht, Holland date 1985 cite book editor last Bose editor first N.K. title Multidimensional Systems Theory and Applications publisher IEEE Press date 1979 Systemstheory stub Category Digital imaging Category Partial differential equations Category Stability theory ... more details
Variable mathematics variables . PDEs are used to formulate, and thus aid the solution of problems involving functions of several variables. PDEs are for example used to describe the propagation of sound ... . These seemingly distinct physical phenomena can be formalized identically in terms of PDEs , which shows that they are governed by the same underlying dynamic. PDEs find their generalization in stochastic ... linear. Common examples of linear PDEs include the heat equation , the wave equation and Laplace s equation ..., but solutions of PDEs involve arbitrary functions. A solution of a PDE is generally not Uniqueness ... problems are not usually satisfactory for physical applications. Notation In PDEs, it is common to denote ... partial differential equation elliptic PDEs are as smooth as the coefficients allow, within the interior ... PDEs, and the Euler Tricomi equation is elliptic where x 0. math B 2 AC 0 , math equations that are parabolic ... of a fluid at supersonic speeds can be approximated with hyperbolic PDEs, and the Euler Tricomi ... s ... Infinite order PDEs in quantum mechanics Weyl quantization in phase space leads to Method of quantum ... are infinite order PDEs. However, in the semiclassical expansion one has a finite system of ODEs ... of the Wigner function. Analytical methods to solve PDEs Separation of variables main Separable partial ... easier to solve. This is possible for simple PDEs, which are called separable partial differential equation s, and the domain is generally a rectangle a product of intervals . Separable PDEs correspond ... solution Inhomogeneous equations can often be solved for constant coefficient PDEs, always be solved ... non linear PDEs. Still, existence and uniqueness results such as the Cauchy Kowalevski theorem ... PDEs, the split step method , exist for specific equations like nonlinear Schr dinger ... methods to solve PDEs The three most widely used numerical methods to solve PDEs are the finite ... more details
Infobox Software name COMSOL Multiphysics logo Image COMSOL logo.png 250px screenshot caption developer COMSOL latest release version 4.2a latest release date release date 2011 10 14 operating system Cross platform genre Finite Element Analysis Simulator license Proprietary software Proprietary EULA website http www.comsol.com www.comsol.com COMSOL Multiphysics formerly FEMLAB is a finite element analysis, solver and Simulation software List of finite element software packages FEA Software package for various physics and engineering applications, especially coupled phenomena, or multiphysics . COMSOL Multiphysics also offers an extensive interface to MATLAB and its toolboxes for a large variety of programming , preprocessing and postprocessing possibilities. The packages are cross platform Microsoft Windows Windows , Macintosh Mac , Linux , Unix . In addition to conventional physics based user interfaces, COMSOL Multiphysics also allows for entering coupled systems of partial differential equation s PDEs . The PDEs can be entered directly or using the so called weak form see finite element method for a description of weak formulation . COMSOL was started by graduate students to Germund Dahlquist based on codes developed for a graduate course at the Royal Institute of Technology KTH ref name siam obit http www.siam.org news news.php?id 54 SIAM Obituary Germund Dahlquist ref in Stockholm, Sweden. Modules Several application specific modules are available for COMSOL Multiphysics ref name COMSOL website http www.comsol.com COMSOL website ref AC DC Module Acoustics Module Batteries & Fuel Cells Module CAD Import Module CFD Module Chemical Reaction Engineering Module Electrodeposition Module Geomechanics Module Heat Transfer Module LiveLink for AutoCAD LiveLink for Creo Parametric LiveLink for Inventor LiveLink for MATLAB LiveLink for Pro ENGINEER LiveLink for SolidWorks LiveLink for SpaceClaim Material Library MEMS Module Microfluidics Module Optimization Module Particle ... more details
includes all vertebrate PDEs and some yeast enzymes. ref name Dousa Class I enzymes all have ... name Dousa br Usually vertebrate PDEs are protein dimer dimers of linear 50 150 kDa proteins ref name ... Jeon br The catalytic domains of PDE1 and other types of PDEs have three helical subdomains an N terminal ... and their function PDEs have been pursued as Pharmacotherapy therapeutic targets because of the basic ... synthesis synthesis . Another reason is that PDEs do not have to compete with very high levels ... of the catalytic domains of PDEs makes the development of highly potent and specific Enzyme inhibitor ... residue that is crucial for the catalytic mechanism of the PDEs. ref name Menniti br The chemical ... PDEs are localized in the cytoplasm and or on intracellular membranes. ref name Bischoff br Today, there is no real ... more details
infobox software name FEMhub operating system Linux , Unix , Microsoft Windows Windows , Mac OS X license GNU General Public License language Python, Javascript genre Scientific simulation software website http femhub.org FEMhub is an open source distribution of scientific computing codes with a unified Python programming language Python interface. It is available for download as desktop application, but all codes are also automatically available in the FEMhub Online Laboratory which is powered by high performance computers of the hp FEM group at the University of Nevada, Reno . FEMhub is available under the GPL license Version 2, 1991 . FEMhub equipped with Online Laboratory has been successfully used in teaching mathematics courses in classrooms at Universities. ref Pavel Solin, Ondrej Certik, and Sameer Regmi. The FEMhub Project and Classroom Teaching of Numerical Methods. In Ga l Varoquaux, St fan van der Walt, and K. Jarrod Millman ed. . SciPy 2009 Proceedings of the 8th Python in Science Conference. Pages 58 61, 2009 ref Finite Element Engines Currently FEMhub includes the following different finite element engines http www.ctcms.nist.gov fiy FiPy Python PDE solver based on the finite volume method. http math.nist.gov phaml PHAML Fortran 90 code using adaptive refinement, multigrid and parallel computing to solve 2 D linear elliptic PDEs. http code.google.com p sfepy SfePy Finite element solver written in Python. Hermes Project Hermes2D C Python library for rapid development of space and space time adaptive hp FEM solvers. The FEMhub project aims to increase the number of such engines in future. Other Packages FEMhub also consolidates other numerous software packages required for the operation of the finite element engines as well as other utilities. It includes various computing and visualizing libraries such as NumPy, SymPy, Matplotlib, MayaVi, etc. It also includes FEMhub Online Numerical Methods Laboratory which makes scientific computations possible onlin ... more details
Different PDEs of the same family are functionally related despite the fact that their amino acid sequences ... in vitro translation system year 2005 publisher Biochemistry. 44 23 p. 8312 25. ref PDEs have different ... more details
parabolic PDEs such as heat equation . Let math mathcal M math be a smooth domain in math mathbb ..., USA. For elliptic PDEs see Theorem 5, p.  334 and for parabolic PDEs see Theorem 10, p.  370 ... more details
9 4 tau u x, tau math to yield the heat equation. Advice on the application of change of variable to PDEs ... equation. We are discussing change of variable for PDEs. A PDE can be expressed as a differential ... more details
to reduce state saving overheads in parallel discrete event simulation PDES . They define an approach ... protocol PDES. The system was capable of dynamically determining the best protocol for LPs and remapping ... lookahead of 1.0 added to each event. This was the first implementation of PDES on Blue Gene using ... solely on reverse computation. He developed the first PDES system solely based on reverse computation ... been a recent push by the PDES community into the realm of continuous simulation. For example, Fujimoto ... more details
among all PDEs. The binding pocket contains metal ion zinc and magnesium binding sites. The two histidine and two aspartic acid residues, which bind zinc are conserved among all studied PDEs See ... two common features of inhibitor binding to PDEs. One is a planar ring structure of the inhibitors ... called glutamine switch . The glutamine switch is an invariant glutamine found in all PDEs, for which ... hydrogen bonds with the exocyclic amino group of cAMP and the exocyclic carbonyl oxygen of cGMP. In PDEs ... cGMP this glutamine is able to rotate freely. In PDEs that are selective for either cAMP or cGMP ... sub 50 sub value of 1 M and an at least 50 fold selectivity over other PDEs. ref name Podzuweit 1995 ... more details