Results 21 to 30 of about 165 (79)

Existence and Stability of a Spike in the Central Component for a Consumer Chain Model [PDF]

, 2015
We study a three-component consumer chain model which is based on Schnakenberg type kinetics. In this model there is one consumer feeding on the producer and a second consumer feeding on the first consumer.
A Doelman, A Doelman, A Doelman, AM Turing, D Iron, DL Benson, EN Dancer, H Meinhardt, H Meinhardt, J Liu, J Schnakenberg, J Wei, J Wei, J Wei, J Wei, J Wei, J Wei, J Wei, J Wei, J Wei, J Wei, J Wei, J Wei, JD Murray, Juncheng Wei, L Bettencourt, M Eigen, M Eigen, M Eigen, M Eigen, Matthias Winter, MJ Ward, P Gray, P Gray, T Kolokolnikov, T Kolokolnikov, W-M Ni, W-M Ni, W-M Ni, Y Nishiura, Y Nishiura   +40 more
core   +2 more sources

Knotted and Linked Products of recombination on T(2,n)#T(2,m) Substrates [PDF]

, 2013
We develop a topological model of site-specific recombination that applies to substrates which are the connected sum of two torus links of the form T(2,n)#T(2,m).
Flapan, Erica, Grevet, Jeremy, Li, Qi, Sun, Chen Daisy, Wong, Helen   +4 more
core   +4 more sources

Dynamic behavior of stochastic gene expression models in the presence of bursting

, 2013
This paper considers the behavior of discrete and continuous mathematical models for gene expression in the presence of transcriptional/translational bursting. We treat this problem in generality with respect to the distribution of the burst size as well
Mackey, M. C., Tyran-Kamińska, M., Yvinec, R.   +2 more
core   +2 more sources

Spatio-temporal models of synthetic genetic oscillators [PDF]

, 2017
Signal transduction pathways play a major role in many important aspects of cellular function e.g. cell division, apoptosis. One important class of signal transduction pathways is gene regulatory networks (GRNs). In many GRNs, proteins bind to gene sites
Chaplain, Mark A. J., Macnamara, Cicely K.   +1 more
core   +2 more sources

Multi-level Monte Carlo for continuous time Markov chains, with applications in biochemical kinetics [PDF]

, 2011
We show how to extend a recently proposed multi-level Monte Carlo approach to the continuous time Markov chain setting, thereby greatly lowering the computational complexity needed to compute expected values of functions of the state of the system to a ...
Anderson, David F., Higham, Desmond J.
core   +4 more sources

Analysis of a stochastic chemical system close to a sniper bifurcation of its mean field model [PDF]

, 2008
A framework for the analysis of stochastic models of chemical systems for which the deterministic mean-field description is undergoing a saddle-node infinite period (SNIPER) bifurcation is presented. Such a bifurcation occurs for example in the modelling
Chapman, S. J., Erban, R., Kevrekidis, I. G., Vejchodsky, T.   +3 more
core   +2 more sources

Modeling and analysis of ensemble average solvation energy and solute–solvent interfacial fluctuations

Computational and Mathematical Biophysics
Variational implicit solvation models (VISMs) have gained extensive popularity in the molecular-level solvation analysis of biological systems due to their cost-effectiveness and satisfactory accuracy.
Shao Yuanzhen, Chen Zhan, Zhao Shan
doaj   +1 more source

MathSciNet i kemija [PDF]

, 2006
MathSciNet je svjetski poznata bibliografska i citatna baza matematièkih publikacija. Ona je elektronièka inaèica referativnog èasopisa Mathematical Reviews i Current mathematical publications koje izdaje American Mathematical Society.
J. Dravec-Braun
core   +1 more source

Multiscale reaction-diffusiion algorithms: PDE-assisted Brownian dynamics [PDF]

, 2013
Two algorithms that combine Brownian dynamics (BD) simulations with mean-field partial differential equations (PDEs) are presented. This PDE-assisted Brownian dynamics (PBD) methodology provides exact particle tracking data in parts of the domain, whilst
Chapman, S. J., Erban, R., Flegg, M. B., Franz, B.   +3 more
core   +1 more source

A Study of Computational Genome Assembly by Graph Theory

Annals of the West University of Timisoara: Mathematics and Computer Science
The assembly of billions of short sequencing reads into a contiguous genome is a daunting task. The foundation knowledge of current DNA assembly models is concentrated among a select group, where the solution to the genome assembly challenge lies in ...
Sarkar Bijan
doaj   +1 more source