Roderick Melnik
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View article: Temperature effects on the anisotropic mobility of doped phosphorene due to carrier scattering on charged impurities evaluated with energy loss method
Temperature effects on the anisotropic mobility of doped phosphorene due to carrier scattering on charged impurities evaluated with energy loss method Open
We present a comprehensive theoretical investigation into the finite-temperature mobility tensor of monolayer black phosphorus (phosphorene), leveraging the energy loss method (ELM) for charge-carrier scattering on charged impurities. Buil…
View article: Estimation of 3D facial dynamics with nonlinear filters for position tracking*
Estimation of 3D facial dynamics with nonlinear filters for position tracking* Open
This study presents a comparative evaluation of three nonlinear state estimation filters, the Extended Kalman Filter (EKF), Unscented Kalman Filter (UKF), and Particle Filter (PF), for the task of 3D facial landmark tracking. Using a publi…
View article: Spike Timing-Dependent Plasticity and Random Inputs Shape Interspike Interval Regularity of Model STN Neurons
Spike Timing-Dependent Plasticity and Random Inputs Shape Interspike Interval Regularity of Model STN Neurons Open
Background/Objectives: Neuronal oscillations play a key role in the symptoms of Parkinson’s disease (PD). This study investigates the effects of random synaptic inputs, their correlations, and the interaction with synaptic dynamics and spi…
View article: Multiscale phase oscillations induced by cluster synchronisation in human connectome core network
Multiscale phase oscillations induced by cluster synchronisation in human connectome core network Open
Brain imaging data mapping onto human connectome networks enables the investigation of global brain dynamics, where the brain hubs play an essential role in transferring activity between different brain parts. At this scale, the synchronis…
View article: Melnik R.S. Main historical stages of the formation of the administrative process in Kazakhstan
Melnik R.S. Main historical stages of the formation of the administrative process in Kazakhstan Open
The article is devoted to the analysis of certain historical stages during which the institution of administrative proceedings (administrative justice) was formed in Kazakhstan. This topic is of considerable scientific relevance, as it has…
View article: Complex non‐Markovian dynamics and the dual role of astrocytes in Alzheimer’s disease development and propagation
Complex non‐Markovian dynamics and the dual role of astrocytes in Alzheimer’s disease development and propagation Open
Alzheimer’s disease (AD) is a common neurodegenerative disorder nowadays. Amyloid‐beta (Aβ) and tau proteins are among the main contributors to the AD progression. In AD, Aβ proteins clump together to form plaques and disrupt cell function…
View article: Nonlocal models in biology and life sciences: Sources, developments, and applications
Nonlocal models in biology and life sciences: Sources, developments, and applications Open
Mathematical modeling is one of the fundamental techniques for understanding biophysical mechanisms in developmental biology. It helps researchers to analyze complex physiological processes and connect like a bridge between theoretical and…
View article: Innate behavioural mechanisms and defensive traits in ecological models of predator-prey types
Innate behavioural mechanisms and defensive traits in ecological models of predator-prey types Open
There are various examples of phenotypic plasticity in ecosystems that serve as the basis for a wide range of inducible defences against predation. These strategies include camouflage, burrowing, mimicry, evasive actions, and even countera…
View article: Brain Network Dynamics and Multiscale Modeling of Neurodegenerative Disorders: A Review
Brain Network Dynamics and Multiscale Modeling of Neurodegenerative Disorders: A Review Open
It is essential to understand the complex structure of the human brain to develop new treatment approaches for neurodegenerative disorders (NDDs). This review paper comprehensively discusses the challenges associated with modelling the com…
View article: The role of soil surface in a sustainable semiarid ecosystem
The role of soil surface in a sustainable semiarid ecosystem Open
Patterns in a semiarid ecosystem are important because they directly and indirectly affect ecological processes, biodiversity, and ecosystem resilience. Understanding the causes and effects of these patterns is critical for long-term land …
View article: The role of inducible defence in ecological models: Effects of nonlocal intraspecific competitions
The role of inducible defence in ecological models: Effects of nonlocal intraspecific competitions Open
Phenotypic plasticity is a key factor in driving the evolution of species in the predator-prey interaction. The natural environment is replete with phenotypic plasticity, which is the source of inducible defences against predators, includi…
View article: Bayesian Approaches for Revealing Complex Neural Network Dynamics in Parkinson's Disease
Bayesian Approaches for Revealing Complex Neural Network Dynamics in Parkinson's Disease Open
Parkinson's disease (PD) belongs to the class of neurodegenerative disorders that affect the central nervous system. It is usually defined as the gradual loss of dopaminergic neurons in the substantia nigra pars compacta, which causes both…
View article: Brain Network Dynamics and Multiscale Modelling of Neurodegenerative Disorders: A Review
Brain Network Dynamics and Multiscale Modelling of Neurodegenerative Disorders: A Review Open
It is essential to understand the complex structure of the human brain to develop new treatment approaches for neurodegenerative disorders (NDDs). This review paper comprehensively discusses the challenges associated with modelling the com…
View article: Piezoelectricity and flexoelectricity in biological cells: the role of cell structure and organelles
Piezoelectricity and flexoelectricity in biological cells: the role of cell structure and organelles Open
Living tissues experience various external forces on cells, influencing their behaviour, physiology, shape, gene expression, and destiny through interactions with their environment. Despite much research done in this area, challenges remai…
View article: Spike-timing-dependent plasticity and random inputs shape interspike interval regularity of model STN neurons
Spike-timing-dependent plasticity and random inputs shape interspike interval regularity of model STN neurons Open
Neuronal oscillations are closely related to the symptoms of Parkinson's disease (PD). In this study, we explore how random fluctuations (or "stochastic inputs") affect these oscillations in brain states, which reflect the collective activ…
View article: Phase-field thermo-electromechanical modelling of lead-free BNT-based piezoelectric materials
Phase-field thermo-electromechanical modelling of lead-free BNT-based piezoelectric materials Open
In recent yerars, Bismuth sodium titanate (BNT) and BNT-based piezoelectric materials have proved potential for lead-free piezoelectric technologies. Such materials' complicated phase structure is crucial to their thermo-electromechanical …
View article: Corrections to scaling in the 2D phi^4 model: Monte Carlo results and some related problems
Corrections to scaling in the 2D phi^4 model: Monte Carlo results and some related problems Open
Monte Carlo (MC) simulations have been performed to refine the estimation of the correction-to-scaling exponent $ω$ in the 2D $φ^4$ model, which belongs to one of the most fundamental universality classes. If corrections have the form $\pr…
View article: Heavy-hole spin relaxation in quantum dots: Isotropic versus anisotropic effects
Heavy-hole spin relaxation in quantum dots: Isotropic versus anisotropic effects Open
Non-charge based logic in single-hole spin of semiconductor quantum dots\n(QDs) can be controlled by anisotropic gate potentials providing a notion for\nmaking next generation solid-state quantum devices. In this study, we\ninvestigate the…
View article: Nonlocal cooperative behaviour, psychological effects, and collective decision-making: an exemplification with predator-prey models
Nonlocal cooperative behaviour, psychological effects, and collective decision-making: an exemplification with predator-prey models Open
In bio-social models, cooperative behaviour has evolved as an adaptive strategy, playing multi-functional roles. One of such roles in populations is to increase the success of survival and reproduction of individuals and their families or …
View article: Fundamental interactions in self-organised critical dynamics on higher order networks
Fundamental interactions in self-organised critical dynamics on higher order networks Open
In functionally complex systems, higher order connectivity is often revealed in the underlying geometry of networked units. Furthermore, such systems often show signatures of self-organised criticality, a specific type of non-equilibrium c…
View article: The influence of thermo-electromechanical coupling on the performance of lead-free BNT-PDMS piezoelectric composites
The influence of thermo-electromechanical coupling on the performance of lead-free BNT-PDMS piezoelectric composites Open
In recent times, there have been notable advancements in haptic technology, particularly in screens found on mobile phones, laptops, light-emitting diode (LED) screens, and control panels. However, it is essential to note that the progress…
View article: Fundamental interactions in self-organized critical dynamics on higher-order networks
Fundamental interactions in self-organized critical dynamics on higher-order networks Open
In functionally complex systems, higher-order connectivity is often revealed in the underlying geometry of networked units. Furthermore, such systems often show signatures of self-organized criticality, a specific type of non-equilibrium c…
View article: Data‐driven stochastic model for quantifying the interplay between amyloid‐beta and calcium levels in Alzheimer's disease
Data‐driven stochastic model for quantifying the interplay between amyloid‐beta and calcium levels in Alzheimer's disease Open
The abnormal aggregation of extracellular amyloid‐ β in senile plaques resulting in calcium dyshomeostasis is one of the primary symptoms of Alzheimer's disease (AD). Significant research efforts have been devoted in the past to better und…
View article: Computational modelling of complex multiphase behavior of environmentally-friendly materials for sustainable technological solutions
Computational modelling of complex multiphase behavior of environmentally-friendly materials for sustainable technological solutions Open
This study presents a computational framework to investigate and predict the complicated multiphase properties of eco-friendly lead-free piezoelectric materials, which are crucial for sustainable technological progress. Although their elec…
View article: Piezoelectricity and flexoelectricity in biological cells: The role of cell structure and organelles
Piezoelectricity and flexoelectricity in biological cells: The role of cell structure and organelles Open
Living tissues experience various external forces on cells, influencing their behaviour, physiology, shape, gene expression, and destiny through interactions with their environment. Despite much research done in this area, challenges remai…