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» Polynomial algebra of discrete models in systems biology
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CMSB
2009
Springer
15 years 4 months ago
Approximation of Event Probabilities in Noisy Cellular Processes
Molecular noise, which arises from the randomness of the discrete events in the cell, significantly influences fundamental biological processes. Discrete-state continuous-time st...
Frédéric Didier, Thomas A. Henzinger...
74
Voted
GIAE
2004
Springer
136views Mathematics» more  GIAE 2004»
15 years 3 months ago
Implicit Reduced Involutive Forms and Their Application to Engineering Multibody Systems
Abstract. The RifSimp package in Maple transforms a set of differential equations to Reduced Involutive Form. This paper describes the application of RifSimp to challenging real-w...
Wenqin Zhou, David J. Jeffrey, Gregory J. Reid, Ch...
BMCBI
2007
179views more  BMCBI 2007»
14 years 9 months ago
Automated smoother for the numerical decoupling of dynamics models
Background: Structure identification of dynamic models for complex biological systems is the cornerstone of their reverse engineering. Biochemical Systems Theory (BST) offers a pa...
Marco Vilela, Carlos Cristiano H. Borges, Susana V...
110
Voted
SIAMSC
2010
142views more  SIAMSC 2010»
14 years 8 months ago
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
EOR
2007
88views more  EOR 2007»
14 years 9 months ago
The stochastic location model with risk pooling
In this paper, we present a stochastic version of the Location Model with Risk Pooling (LMRP) that optimizes location, inventory, and allocation decisions under random parameters ...
Lawrence V. Snyder, Mark S. Daskin, Chung-Piaw Teo