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Electro-stimulation or modulation of deep brain regions is commonly used in clinical procedures for the treatment of several nervous system disorders. In particular, transcranial direct current stimulation (tDCS) is widely used as an…

Image and Video Processing · Electrical Eng. & Systems 2020-04-29 Essam A. Rashed , Jose Gomez-Tames , Akimasa Hirata

Background and Objective: Transcranial temporal interference stimulation (tTIS) is a promising non-invasive brain stimulation technique in which interference between electrical current fields extends the possibilities of electrical brain…

Numerical Analysis · Mathematics 2026-02-05 Santtu Söderholm , Maryam Samavaki , Sampsa Pursiainen

We define and explain the quasistatic approximation (QSA) as applied to field modeling for electrical and magnetic stimulation. Neuromodulation analysis pipelines include discrete stages, and QSA is applied specifically when calculating the…

In several diagnosis and therapy procedures based on electrostimulation effect, the internal physical quantity related to the stimulation is the induced electric field. To estimate the induced electric field in an individual human model,…

Medical Physics · Physics 2021-02-03 Essam A. Rashed , Jose Gomez-Tames , Akimasa Hirata

Objectives: Permissible limits have been established by international guidelines and standards for human protection to electromagnetic field exposure to prevent adverse health effects stemming from electrostimulation in the most sensitive…

Medical Physics · Physics 2025-02-12 Jose Gomez-Tames , Thomas Tarnaud , Wout Joseph , Emmeric Tanghe

Transcranial Electrical Stimulation (TCES) and Deep Brain Stimulation (DBS) are two different applications of electrical current to the brain used in different areas of medicine. Both have a similar frequency dependence of their efficiency,…

Neurons and Cognition · Quantitative Biology 2019-07-15 Markus Schütt , Jens Christian Claussen

Noninvasive brain stimulation (NIBS) by quasistatic electromagnetic means is presently comprised of two methods: Magnetic induction methods (Transcranial magnetic perturbation or TMP) and electrical contact methods (Transcranial electric…

Medical Physics · Physics 2020-06-11 D. J. Sheltraw , B. Inglis , L. Labruna , R. Ivry

Transcranial direct current stimulation (tDCS) is known to have a modulatory effect on neural tissue and that it is polarity specific. It is also shown that tDCS demonstrated the lasting effect in therapeutic applications. The main aim of…

Neurons and Cognition · Quantitative Biology 2018-12-05 Milena Cukic , Miodrag Stokic , Slavoljub Radenkovic , Milos Ljubisavljevic , Dragoljub Donald Pokrajac

A major shortcoming of medical practice is the lack of an objective measure of conscious level. Impairment of consciousness is common, e.g. following brain injury and seizures, which can also interfere with sensory processing and volitional…

Neurons and Cognition · Quantitative Biology 2025-12-24 Alexis Pomares Pastor , Ines Ribeiro Violante , Gregory Scott

Transcranial direct current stimulation is a non-invasive brain stimulation technique which modifies neural excitability by providing weak currents through scalp electrodes. The aim of this study is to introduce and analyze a novel…

Optimization and Control · Mathematics 2016-09-27 Sven Wagner , Martin Burger , Carsten H. Wolters

Acquisition of fine motor skills is a time-consuming process as it requires frequent repetitions. Transcranial electrical stimulation is a promising means of enhancing simple motor skill development via neuromodulatory mechanisms. Here, we…

Non-invasive brain stimulation, such as transcranial alternating current stimulation (tACS) provides a powerful tool to directly modulate brain oscillations that mediate complex cognitive processes. While the body of evidence about the…

Accurate modeling of electric potential and current distribution in head tissues is crucial for the design and evaluation of neuro-sensing and neuro-stimulation systems operating in the sub megahertz frequency range. Numerical methods are…

Computational Engineering, Finance, and Science · Computer Science 2026-05-29 Angelo Faccia , Ermanno Citraro , Francesco P. Andriulli

The use of small amplitude electric currents delivered through the scalp, termed transcranial current stimulation (tCS, tDCS / tACS when using DC / AC currents) holds considerable promise for developing safe and effective treatments for…

Neurons and Cognition · Quantitative Biology 2024-10-10 Julien Modolo , Mengsen Zhang , Joan Duprez , Flavio Frohlich

Transcranial magnetic stimulation (TMS) is a technique for noninvasively stimulating a brain area for therapeutic, rehabilitation treatments and neuroscience research. Despite our understanding of the physical principles and experimental…

Neurons and Cognition · Quantitative Biology 2020-12-30 Jose Gomez-Tames , Ilkka Laakso , Akimasa Hirata

Transcranial magnetic stimulation (TMS) with asymmetric electric field pulses, such as monophasic, offers directional selectivity for neural activation but requires excessive energy. Previous pulse shape optimisation has been limited to…

We examine the stability and qualitative dynamics of stochastic neuronal networks specified as multivariate nonlinear Hawkes processes and related point-process generalized linear models that incorporate both auto- and cross-history…

Disordered Systems and Neural Networks · Physics 2019-12-13 Dmitrii Todorov , Wilson Truccolo

The application of the quasi-steady-state approximation to the Michaelis-Menten reaction embedded in large open chemical reaction networks is a popular model reduction technique in deterministic and stochastic simulations of biochemical…

Statistical Mechanics · Physics 2013-05-28 Philipp Thomas , Arthur V. Straube , Ramon Grima

A common factor across electromagnetic methodologies of brain stimulation is the optimization of essential dosimetry parameters, like amplitude, phase, and location of one or more transducers, which controls the stimulation strength and…

Image and Video Processing · Electrical Eng. & Systems 2025-05-06 Fatima Ahsan , Lorenzo Luzi , Richard G. Barainuk , Sameer A. Sheth , Wayne Goodman , Behnaam Aazhang

The formation and motion of lattice defects such as cracks, dislocations, or grain boundaries, occurs when the lattice configuration loses stability, that is, when an eigenvalue of the Hessian of the lattice energy functional becomes…

Numerical Analysis · Mathematics 2015-05-13 Matthew Dobson , Mitchell Luskin , Christoph Ortner
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