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A Three-dimensional Viscoelastic Constitutive Model of Finite Deformation
viscoelastic finite deformation the principle of objectivity
2012/9/24
Hereditary integral formulations and differential formulations identified with spring and dashpot constructions can express the viscoelastic behaviors of polymeric materials at small deformations. In...
Existence and Uniqueness of the Positive Solution to a Predator-prey Model with Stochastic Perturbation
Itos formula Brownian motion existence and uniqueness
2012/9/24
In this paper, a predator-prey model is estab lished with the modified Holling-type II schemes with stochastic perturbation. We mainly use Lyapun ov function and comparison theorem to show that there ...
Stable trimorphic coexistence in a lattice model of spatial competition with two site types
Stable trimorphic coexistence；lattice model
2011/1/5
I examine the effect of exogenous spatial heterogeneity on the coexistence of competing species using a simple model of non-hierarchical competition for site occupancy on a lattice. The sites on the l...
The Moran model as a dynamical process on networks and its implications for neutral speciation
dynamical process networks implications
2011/1/5
In genetics the Moran model describes the neutral evolution of a bi-allelic gene in a population of haploid individuals subjected to mutations. We show in this paper that this model can be mapped into...
An Age Dependent Branching Model for Macroevolution
Age Dependent Branching Model Macroevolution
2011/1/5
The imbalance of phylogenetic trees exhibits a systematic deviation from the expectation of a purely random tree growth process as in the Yule or ERM models. Here we introduce an age dependent growth ...
A Network-Based Meta-Population Approach to Model Rift Valley Fever Epidemics
Network-Based Meta-Population Rift Valley Fever Epidemics
2011/1/5
Rift Valley Fever virus (RVFv) has been expanding its geographical distribution with important implications for both human and animal health. The emergence of Rift Valley Fever (RVF) in the Middle Eas...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
Asymptotic bifurcation analysis wave-pinning reaction-diffusion model
2011/1/5
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Spatio-temporal Model of Multiscale Fracture in Brittle Solids
incubation time criterion dynamic fracture dynamic strength fracture toughness spatio-temporal discretization scale levels cr ack propagation pipelines FEM modelling.
2012/9/24
We analyze examples illustrating typical dynamic effects inherent in dynamic fracture process,and we propose a unified interpretation for fracture of solids utilizing structural-temporal approach bas...
Information Maximization Fails to Maximize Expected Utility in a Simple Foraging Model
rmation Maximization Fails Maximize Expected Utility Simple Foraging Model
2010/11/15
Information theory has explained the organization of many biological phenomena, from the physiology of sensory receptive fields to the variability of certain DNA sequence ensembles. Some scholars hav...
An exactly solvable model for a beta-hairpin with random interactions
exactly solvable model beta-hairpin random interactions
2010/11/16
I investigate a disordered version of a simplified model of protein folding, with binary degrees of freedom, applied to an ideal beta-hairpin structure. Disorder is introduced by assuming that the co...
A simplified exactly solvable model for beta-amyloid aggregation
simplified exactly solvable model beta-amyloid aggregation
2010/11/15
We propose an exactly solvable simplified statistical mechanical model for the thermodynamics of beta-amyloid aggregation, generalizing a well-studied model for protein folding. The monomer concentrat...
Competition, coexistence, and critical behaviour in a lattice tumor-growth model
Competition coexistence critical behaviour lattice tumor-growth model
2010/11/15
In the present paper we study a lattice tumor-growth model. Monte Carlo simulations for $d=$1, 2, and 3 show that when nutrients are easily available, normal and tumor cells coexist. However, when the...
Emergent Properties of Tumor Microenvironment in a Real-life Model of Multicell Tumor Spheroids
Emergent Properties Tumor Microenvironment Real-life Model
2010/11/15
Multicellular tumor spheroids are an important {\it in vitro} model of the pre-vascular phase of solid tumors, for sizes well below the diagnostic limit: therefore a biophysical model of spheroids has...
Noise-induced oscillatory shuttling of NF-κB in a two compartment IKK-NF-κB-IκB-A20 signaling model
Noise-induced oscillatory shuttling NF-κB two compartment IKK-NF-κB-IκB-A20 signaling model
2010/11/15
NF-{\kappa}B is a pleiotropic protein whose nucleo-cytoplasmic trafficking is tightly regulated by multiple negative feedback loops embedded in the NF-{\kappa}B signaling network and contributes to di...