Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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Neuronglial Interactions
(Encyclopedia of Computational Neuroscience, 20200607)Although lagging behind classical computational neuroscience, theoretical and computational approaches are beginning to emerge to characterize different aspects of neuronglial interactions. This chapter aims to provide ... 
No Time at the End of the Tunnel
(Communications Physics – Nature, 20180821)Modern attosecond experiments seek to provide an insight into a long standing question: “how much time does a tunnelling particle spend in the barrier?” Traditionally, quantum theory relates this duration to the delay ... 
NonMarkovian models of the growth of a polymer chain
(Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20151231)Using simple exactly solvable models, we show that eventdependent time delays may lead to significant nonPoisson effects in the statistics of polymer chain growth. The results are confirmed by stochastic simulation of ... 
Nonlinear dynamics of shape memory alloy oscillators in tuning structural vibration frequencies
(Mechatronics, 20121231)Shape memory alloy (SMA) is one of the novel advanced functional materials that has an increasing range of current and potential applications, including smart materials and structures, biomedical and nanotechnologies. ... 
Numerical analysis of complex systems evolution with phase transformations at different spatial scales
(CivilComp Proceedings, 20101231)This paper shows the existence of a critical dimension for finite length nanowires exhibiting shape memory effects. We give a brief survey of phase transformations, their classifications, and provide the basis of mathematical ... 
Numerical approximations for fractional elliptic equations via the method of semigroups
(ESAIM: Mathematical Modelling and Numerical Analysis, 2020)We provide a novel approach to the numerical solution of the family of nonlocal elliptic equations $(\Delta)^su=f$ in $\Omega$, subject to some homogeneous boundary conditions $\mathcal{B}(u)=0$ on $\partial \Omega$, where ... 
Numerical Bifurcation Analysis of Physiologically Structured Populations: ConsumerResource, Cannibalistic and Trophic Models
(Bulletin of Mathematical Biology, 20160622)With the aim of applying numerical methods, we develop a formalism for physiologically structured population models in a new generality that includes con sumer resource, cannibalism and trophic models. The dynamics at the ... 
Numerical equilibrium analysis for structured consumer resource models
(Bulletin of Mathematical Biology, 20101231)In this paper, we present methods for a numerical equilibrium and stability analysis for models of a size structured population competing for an unstructured resource. We concentrate on cases where two model parameters are ... 
Numerical Regge pole analysis of resonance structures in elastic, inelastic and reactive statetostate integral cross sections
(Computer Physics Communications, 20141231)We present a detailed description of a FORTRAN code for evaluation of the resonance contribution a Regge trajectory makes to the integral statetostate cross section (ICS) within a specified range of energies. The ... 
Numerical simulation of a susceptibleexposedinfectious spacecontinuous model for the spread of rabies in raccoons across a realistic landscape
(Journal of Biological Dynamics, 20131231)We introduce a numerical model for the spread of a lethal infectious disease in wildlife. The reference model is a SusceptibleExposedInfectious system where the spatial component of the dynamics is modelled by a diffusion ... 
Numerical simulation of extreme wave runup during storm events in Tramandaí Beach, Rio Grande do Sul, Brazil
(Coastal Engineering, 20151231)We present a high resolution analysis of the interaction of irregular waves with natural and urban structures leading to extreme wave runup. Horizontal runup data, instantaneous flooding maps, and wave propagation beyond ... 
On a generalization of the global attractivity for a periodically forced Pielou's equation
(Journal of Difference Equations and Applications, 20121231)In this paper, we study the global attractivity for a class of periodic difference equation with delay which has a generalized form of Pielou's difference equation. The global dynamics of the equation is characterized by ... 
On the Analysis of TrajectoryBased Search Algorithms: When is it Beneficial to Reject Improvements?
(Algorithmica, 2018)We investigate popular trajectorybased algorithms inspired by biology and physics to answer a question of general significance: when is it beneficial to reject improvements? A distinguishing factor of SSWM (Strong Selection ... 
On the global stability of a delayed epidemic model with transportrelated infection
(Nonlinear Analysis: Real World Applications, 20111231)We study the global dynamics of a time delayed epidemic model proposed by Liu et al. (2008) [J. Liu, J. Wu, Y. Zhou, Modeling disease spread via transportrelated infection by a delay differential equation, Rocky Mountain ... 
On the global stability of an SIRS epidemic model with distributed delays
(Discrete and Continuous Dynamical Systems Series A, 20111231)In this paper, we establish the global asymptotic stability of an endemic equilibrium for an SIRS epidemic model with distributed time delays. It is shown that the global stability holds for any rate of immunity loss, if ... 
On the Perturbation Methods for Vibration Analysis of Linear TimeVarying Systems
(International Journal of Applied Mechanics, 20160101)Some perturbation methods in the studying vibrations of the linear timevarying (LTV) system are discussed. Three classical perturbation methods, namely, averaging method, harmonic balance method, and multiple scales method ... 
Opportunities at the Intersection of Synthetic Biology, Machine Learning, and Automation
(ACS Synthetic Biology, 201907)Our inability to predict the behavior of biological systems severely hampers progress in bioengineering and biomedical applications. We cannot predict the effect of genotype changes on phenotype, nor extrapolate the ... 
An optimal scaling to computationally tractable dimensionless models: Study of latex particles morphology formation
(Computer Physics Communications, 202002)In modelling of chemical, physical or biological systems it may occur that the coefficients, multiplying various terms in the equation of interest, differ greatly in magnitude, if a particular system of units is used. Such ... 
Optimization of an Externally Mixed Biogas Plant Using a Robust CFD Method
(Computers and Electronics in Agriculture, 202004)Biogas plants have to be continuously or periodically mixed to ensure the homogenization of fermenting and fresh substrate. Externally installed mixers provide easier access than submerged mixers but concerns of ... 
Optimized schwarz methods and model adaptivity in electrocardiology simulations
(Lecture Notes in Computational Science and Engineering, 20141231)[No abstract available]