Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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A computational model of openirrigated electrode for endocardial RF catheter ablation
(20160101)Radiofrequency catheter ablation (RFCA) is an important curative treatment for cardiac arrhythmias. However, during RFCA thrombus formation can occur when the electrodetissue interface temperature exceeds 80Â°C. Openirrigated ... 
A differential equation with statedependent delay from cell population biology
(20151231)We analyze a differential equation, describing the maturation of a stem cell population, with a statedependent delay, which is implicitly defined via the solution of an ODE. We elaborate smoothness conditions for the model ... 
A model for stem cell population dynamics with regulated maturation delay
(20111231)We develop a structured population model for the maturation process of stem cells in the form of a statedependent delay differential equation. Moreover, results on existence, uniqueness and positivity of solutions as well ... 
A stylized model for the continuous double auction
(20121231)A stylized phenomenological model for the continuous double auction is introduced. This model is equivalent to two uncoupled M/M/1 queues. The conditions for statistical equilibrium (ergodicity) are derived. The results ... 
Abinitio calculations of strain induced relaxed shape armchair graphene nanoribbon
(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 ... 
Adapting Hybrid Monte Carlo methods for solving complex problems in life and materials sciences
(20180511)Efficient sampling is the key to success of molecular simulation of complex physical systems. Still, a unique recipe for achieving this goal is unavailable. Hybrid Monte Carlo (HMC) is a promising sampling tool offering a ... 
Adaptive multistage integrators for optimal energy conservation in molecular simulations
(20161001)We introduce a new Adaptive Integration Approach (AIA) to be used in a wide range of molecular simulations. Given a simulation problem and a step size, the method automatically chooses the optimal scheme out of an available ... 
Adaptive Splitting Integrators for Enhancing Sampling Efficiency of Modified Hamiltonian Monte Carlo Methods in Molecular Simulation
(20171024)The modified Hamiltonian Monte Carlo (MHMC) methods, i.e., importance sampling methods that use modified Hamiltonians within a Hybrid Monte Carlo (HMC) framework, often outperform in sampling efficiency standard techniques ... 
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. ... 
Analytical evaluation of the performance of contactBased messaging applications
(20160301)Communications in mobile opportunistic networks, instead of using the Internet infrastructure, take place upon the establishment of ephemeral contacts among mobile nodes using direct communication. In this paper, we ... 
Anticipation via canards in excitable systems
(20190114)Neurons can anticipate incoming signals by exploiting a physiological mechanism that is not well understood. This article offers a novel explanation on how a receiver neuron can predict the sender’s dynamics in a ... 
Application of Quantum Natural Language Processing for Language Translation
(20210101)In this paper, we develop compositional vectorbased semantics of positive transitive sentences using quantum natural language processing (QNLP) to compare the parametrized quantum circuits of two synonymous simple sentences ... 
Are BrainComputer Interfaces Feasible withIntegrated Photonic Chips?
(202111)The present paper examines the viability of a radically novel idea for braincomputer interface (BCI), which could lead to novel technological, experimental and clinical applications. BCIs are computerbased systems that ... 
ART: A machine learning Automated Recommendation Tool for synthetic biology
(2019)Biology has changed radically in the last two decades, transitioning from a descriptive science into a design science. Synthetic biology allows us to bioengineer cells to synthesize novel valuable molecules such as renewable ... 
Assessment of van der Waals inclusive density functional theory methods for layered electroactive materials
(20170101)Computationaldriven materials discovery requires efficient and accurate methods. Density functional theory (DFT) meets these two requirements for many classes of materials. However, DFTbased methods have limitations. One ... 
Atomistic Insight into Ion Transport and Conductivity in Ga/AlSubstituted Li$_7$La$_3$Zr$_2$O$_{12}$ Solid Electrolytes
(20180109)Garnetstructured Li$_{7}$La$_{3}$Zr$_{2}$O$_{12}$ is a promising solid electrolyte for nextgeneration solidstate Li batteries. However, sufficiently fast Liion mobility required for battery applications only emerges ... 
Atomistic to continuum model for studying mechanical properties of RNA nanotubes
(202006)With rapid advancements in the emerging field of RNA nanotechnology, its current and potential applications, new important problems arise in our quest to better understand properties of RNA nanocomplexes. In this paper, ... 
Band structures of cylindrical AlN/GaN quantum dots with fully coupled piezoelectric models
(20101231)We study the coupled electromechanical effects in the band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as AlN/GaN quantum dots. Some effects in these systems are essentially nonlinear. ... 
Band structures of laterally coupled quantum dots, accounting for electromechanical effects
(20101231)In a series of recent papers we demonstrated that coupled electromechanical effects can lead to pronounced contributions in band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as quantum ... 
Berry phase and spin precession without magnetic fields in semiconductor quantum dots
(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 ...