Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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Band structures of cylindrical AlN/GaN quantum dots with fully coupled piezoelectric models
(Proceedings of SPIE  The International Society for Optical Engineering, 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
(Journal of Physics: Conference Series, 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 ... 
Breast cancer dormancy can be maintained by small numbers of micrometastases
(Cancer Research, 20101231)Late relapse of breast cancer can occur more than 25 years after primary diagnosis. During the intervening years between initial treatment and relapse, occult cancers are maintained in an apparent state of dormancy that ... 
Brinicles as a case of inverse chemical gardens
(Langmuir, 20131231)Brinicles are hollow tubes of ice from centimeters to meters in length that form under floating sea ice in the polar oceans when dense, cold brine drains downward from sea ice to seawater close to its freezing point. When ... 
Causality, 'superluminality', and reshaping in undersized waveguides
(ECCOMAS 2012  European Congress on Computational Methods in Applied Sciences and Engineering, eBook Full Papers, 20121231)We analyse the reshaping mechanism leading to apparently 'superluminal' advancement of a pulse traversing an undersized section of a waveguide. For frequencies below the first inelastic threshold (cut off one), there are ... 
Chemicalgarden formation, morphology, and composition. I. Effect of the nature of the cations
(Langmuir, 20111231)We have grown chemical gardens in different sodium silicate solutions from several metalion saltscalcium chloride, manganese chloride, cobalt chloride, and nickel sulfatewith cations from period 4 of the periodic table. ... 
Chemicalgarden formation, morphology, and composition. II. Chemical gardens in microgravity
(Langmuir, 20111231)We studied the growth of metalion silicate chemical gardens under Earth gravity (1 g) and microgravity (μg) conditions. Identical sets of reaction chambers from an automated system (the Silicate Garden Habitat or SGHab) ... 
Classification of resonance Regge trajectories and a modified Mulholland formula
(Physics Letters, Section A: General, Atomic and Solid State Physics, 20111231)We employ a simple potential model to analyze the effects which a Regge trajectory, correlating with a bound or a metastable state at zero angular momentum, has on an integral cross section. A straightforward modification ... 
Coarsegraining RNA nanostructures for molecular dynamics simulations
(Physical Biology, 20101231)A series of coarsegrained models have been developed for study of the molecular dynamics of RNA nanostructures. The models in the series have one to three beads per nucleotide and include different amounts of detailed ... 
Combining stochastic and deterministic approaches within high efficiency molecular simulations
(Central European Journal of Mathematics, 20131231)Generalized Shadow Hybrid Monte Carlo (GSHMC) is a method for molecular simulations that rigorously alternates Monte Carlo sampling from a canonical ensemble with integration of trajectories using Molecular Dynamics (MD). ... 
Comparative analysis of different methods of modeling the thermal effect of circulating blood flow during RF cardiac ablation
(IEEE Transactions on Biomedical Engineering, 20160101)Our aim was to compare the different methods of modeling the effect of circulating blood flow on the thermal lesion dimensions created by radio frequency (RF) cardiac ablation and on the maximum blood temperature. Computational ... 
Complex angular momentum theory of statetostate integral cross sections: Resonance effects in the $F + HD \to HF(v' = 3) + D$ reaction
(Physical Chemistry Chemical Physics, 20151231)Statetostate reactive integral cross sections (ICSs) are often affected by quantum mechanical resonances, especially near a reactive threshold. An ICS is usually obtained by summing partial waves at a given value of ... 
Complex systems in finance: Monte Carlo evaluation of first passage time density functions
(Procedia Computer Science, 20101231)Many examples of complex systems are provided by applications in finance and economics areas. Some of intrinsic features of such systems lie with the fact that their parts are interacting in a nontrivial dynamic manner ... 
Computational aspects of MonteCarlo simulations of the first passage time for multivariate transformed Brownian motions with jumps
(International Journal of Computational Methods, 20131231)Many problems in science, engineering, and finance require the information on the first passage time (FPT) of a stochastic process. Mathematically, such problems are often reduced to the evaluation of the probability density ... 
Computational Model for Prediction of the Occurrence of Steam Pops during Irrigated Radiofrequency Catheter Ablation
(Computing in Cardiology 43, 2016)Radiofrequency catheter ablation (RFCA) is a curative treatment for cardiac arrhythmias. Although globally a pretty safe procedure, it may present some risk. Steam pop is a serious complication that can occur during RFCA ... 
A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen
(Journal of Theoretical Biology, 20180226)The human brain is a small organ which uses a disproportional amount of the total metabolic energy pro duction in the body. While it is well understood that the most significant energy sink is the maintenance of the ... 
A computational model of openirrigated radiofrequency catheter ablation accounting for mechanical properties of the cardiac tissue
(2018)Radiofrequency catheter ablation (RFCA) is an effective treatment for cardiac arrhythmias. Although generally safe, it is not completely exempt from the risk of complications. The great flexibility of computational models ... 
Computational modeling of openirrigated electrodes for radiofrequency cardiac ablation including blood motionsaline flow interaction
(PLoS One, 2016)Radiofrequency catheter ablation (RFCA) is a routine treatment for cardiac arrhythmias. During RFCA, the electrodetissue interface temperature should be kept below 80°C to avoid thrombus formation. Openirrigated electrodes ... 
A computational multiscale model of cortical spreading depression propagation
(Computers and Mathematics with Applications, 20161219)Cortical Spreading Depression (CSD) is a disruption of the brain hemostasis that, originating in the visual cortex and traveling towards the frontal lobe, temporarily impairs the normal functioning of neurons. Although, ... 
Computational predictive modeling of integrated cerebral metabolism, electrophysiology and hemodynamics
(20190212)Understanding the energetic requirement of brain cells during resting state and during high neuronal activity is a very active research area where mathematical models have contributed significantly by providing a context ...