Mathematical Modelling with Multidisciplinary Applications (M3A)
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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 ... 
GrigorchukGuptaSidki groups as a source for Beauvile surfaces
(Groups, Geometry, and Dynamics, 20200414)If $G$ is a GrigorchukGuptaSidki group defined over a $p$adic tree, where p is an odd prime, we study the existence of Beauville surfaces associated to the quotients of $G$ by its level stabilizers $st_G(n)$. We prove ... 
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 ... 
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 ... 
A theoretical approach for the electrochemical characterization of ciliary epithelium
(Life, 20200123)The ciliary epithelium (CE) is the primary site of aqueous humor (AH) production, which results from the combined action of ultrafiltration and ionic secretion. Modulation of ionic secretion is a fundamental target for ... 
Key aspects for effective mathematical modelling of fractionaldiffusion in cardiac electrophysiology: A quantitative study
(Communications in Nonlinear Science and Numerical Simulation, 202005)Microscopic structural features of cardiac tissue play a fundamental role in determining complex spatiotemporal excitation dynamics at the macroscopic level. Recent efforts have been devoted to the development of mathematical ... 
Valleydependent Lorentz force and AharonovBohm phase in strained graphene pn junction
(PHYSICAL REVIEW B, 2019)Veselago lens focusing in graphene pn junction is promising for realizations of new generation electron optics devices. However, the effect of the straininduced AharonovBohm interference in a pn junction has not been ... 
Abinitio calculations of strain induced relaxed shape armchair graphene nanoribbon
(PHYSICA ELOWDIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2019)An odd number of zigzag edges in armchair graphene nanoribbons and their mechanical properties (e.g., Young's modulus, Poisson ratio and shear modulus) have potential interest for bandgap engineering in graphene based ... 
Berry phase and spin precession without magnetic fields in semiconductor quantum dots
(EUROPEAN PHYSICAL JOURNAL B, 2019)We investigate electric field control of spin manipulation through Berry phase in IIIV semiconductor quantum dots. By utilizing degenerate and nondegenerate perturbation theories, we diagonalize the total Hamiltonian of ... 
Modeling microstructure evolution in shape memory alloy rods via Legendre wavelets collocation method
(JOURNAL OF MATERIALS SCIENCE, 2019)Microstructures play an important role in the research on shape memory alloys (SMA). By using mathematical modeling tools to study microstructures, it is possible to predict the behaviors of these materials under applied ... 
Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
(Advances in Applied Mathematics and Mechanics, 2019)Nonlinear normal modes and a numerical iterative approach are applied to study the parametric vibrations of pipes conveying pulsating fluid as an example of gyroscopic continua. The nonlinear nonautonomous governing ... 
Spectral properties of hyperbolic nanonetworks with tunable aggregation of simplexes
(Physical Review E, 2019)Cooperative selfassembly is a ubiquitous phenomenon found in natural systems which is used for designing nanostructured materials with new functional features. Its origin and mechanisms, leading to improved functionality ... 
Coupled thermoelectromechanical models for thermal ablation of biological tissues and heat relaxation time effects
(Physics in Medicine & Biology, 2019)Thermal ablation is a widely applied electrosurgical process in medical treatment of soft biological tissues. Numerical modeling and simulations play an important role in prediction of temperature distribution and ... 
Computational Analysis of Pulsed Radiofrequency Ablation in Treating Chronic Pain
(Lecture Notes in Computer Science book series (LNCS, volume 11539), 201906)In this paper, a parametric study has been conducted to evaluate the effects of frequency and duration of the short burst pulses during pulsed radiofrequency ablation (RFA) in treating chronic pain. Affecting the brain and ... 
Radiofrequency Ablation for Treating Chronic Pain of Bones: Effects of Nerve Locations
(Bioinformatics and Biomedical Engineering, Springer, 201905)The present study aims at evaluating the effects of target nerve location from the bone tissue during continuous radiofrequency ablation (RFA) for chronic pain relief. A generalized threedimensional heterogeneous computational ... 
Functional Geometry of Human Connectomes
(SCIENTIFIC REPORTS, 201908)Mapping the brain imaging data to networks, where nodes represent anatomical brain regions and edges indicate the occurrence of fiber tracts between them, has enabled an objective graphtheoretic analysis of human connectomes. ... 
Advanced Mathematical Modelling of Pancreatic βCells
(20191210)Insulinsecreting pancreatic $\beta$cells are responsible for maintaining the whole body glucose homeostasis. Dysfunction or loss of $\beta$cell mass results in impaired insulin secretion and, in some cases, diabetes. ... 
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 ... 
Computing Multipersistence by Means of Spectral Systems
(Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, 20190708)In their original setting, both spectral sequences and persistent homology are algebraic topology tools defined from filtrations of objects (e.g. topological spaces or simplicial complexes) indexed over the set Z of integer ... 
Metamodeling on detailed geography for accurate prediction of invasive alien species dispersal
(Scientific Reports, 20191107)Invasive species are recognized as a significant threat to biodiversity. The mathematical modeling of their spatiotemporal dynamics can provide significant help to environmental managers in devising suitable control ...