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Machine Learning As a Tool to Accelerate the Search for New Materials for Metal-Ion Batteries
AbstractThe search for new solid ionic conductors is an important topic of material science that requires significant resources, but can be...
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Two-dimensional equations for thin-films of ionic conductors
A theoretical model is developed for predicting both conduction and diffusion in thin-film ionic conductors or cables. With the linearized...
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Single neuron models
Few phenomena in neuroscience are as evocative as the pulses of electrical activity produced by individual cells. Indeed, the discovery by Galvani of...
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Snap-through path in a bistable dielectric elastomer actuator
The dielectric elastomer (DE) has attracted significant attention due to its desired features, including large deformation, fast response, and high...
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Partial wetting of the soft elastic graded substrate due to elastocapillary deformation
Surface tension plays a central role in the mechanical behavior of soft materials such as gels. Elastocapillary deformation of elastic graded...
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Percolation in Biological Systems
Most biological systems are so complex that they preclude any reasonable description in terms of the exact interactions among their fundamental...
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Extensions of the Classical Percolation Model
The classical percolation model described in Chap. 2 is appropriate when there are no correlations between...
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The St Elmo’s Fire: Its Formation and Measurement on Both Natural and Artificial Structures
Since the beginning of recorded history Saint Elmo’s fire (SEF) has been observed and experienced by humans in and close to thunderstorms which are...
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Transport Properties of Composite Materials
Composite materials constitute a large class of natural or man-made disordered media, which includes granular materials, composite solids,...
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Adsorption Phenomena and Anomalous Behavior
This chapter deals with illustrative problems involving anomalous diffusionAnomalous diffusion behavior in connection with adsorption phenomena at...
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Well-Posedness for a Modified Bidomain Model Describing Bioelectric Activity in Damaged Heart Tissues
We prove the existence and the uniqueness of a solution for a modified bidomain model, describing the electrical behaviour of the cardiac tissue in...
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Superconducting Qubits
Thus far, we have examined quantum computing based on single particle states in atoms, ions and semiconductor structures. In this chapter, we will...
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Mixed Finite Element Method for Modified Poisson–Nernst–Planck/Navier–Stokes Equations
In this paper, a complete mixed finite element method is developed for a modified Poisson–Nernst–Planck/Navier–Stokes (PNP/NS) coupling system, where...
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Oscillations
Oscillations fascinate biologists: cells cycle, hearts beat, lungs pump, wings flap, animals sleep, and then wake. It is the widespread occurrence of...
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Incremental harmonic balance method for periodic forced oscillation of a dielectric elastomer balloon
Dielectric elastomer (DE) is suitable in soft transducers for broad applications, among which many are subjected to dynamic loadings, either...
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A review of computational modeling and deep brain stimulation: applications to Parkinson’s disease
Biophysical computational models are complementary to experiments and theories, providing powerful tools for the study of neurological diseases. The...
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A Linearized Local Conservative Mixed Finite Element Method for Poisson–Nernst–Planck Equations
In this paper, a linearized local conservative mixed finite element method is proposed and analyzed for Poisson–Nernst–Planck (PNP) equations, where...
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Flux Ratios and Channel Structures
We investigate Ussing’s unidirectional fluxes and flux ratios of charged tracers motivated particularly by the insightful proposal of Hodgkin and...
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Electromagnetism of Continuous Media
This chapter is devoted to electromagnetism in deformable media. As with any model of material behaviour, the constitutive laws are required to be...