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 ... 
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 ... 
Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model
(Journal of theoretical biology, 20190605)The energetic needs of brain cells at rest and during elevated neuronal activation has been the topic of many investigations where mathematical models have played a significant role providing a context for the interpretation ... 
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 ... 
Clinical correlates of mathematical modeling of cortical spreading depression: Single‐cases study
(Brain and Behavior, 20190728)Introduction: Considerable connections between migraine with aura and cortical spreading depression (CSD), a depolarization wave originating in the visual cortex and traveling toward the frontal lobe, lead to the hypothesis ... 
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 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 ... 
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 ...