### Recent Submissions

• #### Residual-Based Adaptivity and PWDG Methods for the Helmholtz Equation ﻿

(2015)
We present a study of two residual a posteriori error indicators for the plane wave discontinuous Galerkin (PWDG) method for the Helmholtz equation. In particular, we study the $h$-version of PWDG in which the number of ...
• #### A Comparison of High Order Interpolation Nodes for the Pyramid ﻿

(2015)
The use of pyramid elements is crucial to the construction of efficient hex-dominant meshes [M. Bergot, G. Cohen, and M. Duruflé, J. Sci. Comput., 42 (2010), pp. 345--381]. For conforming nodal finite element methods with ...

(2015)
• #### Predicting solvation free energies and thermodynamics in polar solvents and mixtures using a solvation-layer interface condition ﻿

(2017)
We demonstrate that with two small modifications, the popular dielectric continuum model is capable of predicting, with high accuracy, ion solvation thermodynamics (Gibbs free energies, entropies, and heat capacities) in ...
• #### Modulation of Orthographic Decoding by Frontal Cortex ﻿

(2016)
Opinions are divided on whether word reading processes occur in a hierarchical, feedforward fashion or within an interactive framework. To critically evaluate these competing theories, we recorded electrocorticographic ...
• #### A Topological Model of the Hippocampal Cell Assembly Network ﻿

(2016)
It is widely accepted that the hippocampal place cells' spiking activity produces a cognitive map of space. However, many details of this representation's physiological mechanism remain unknown. For example, it is believed ...
• #### Levetiracetam mitigates doxorubicin-induced DNA and synaptic damage in neurons ﻿

(2016)
Neurotoxicity may occur in cancer patients and survivors during or after chemotherapy. Cognitive deficits associated with neurotoxicity can be subtle or disabling and frequently include disturbances in memory, attention, ...
• #### Topological Schemas of Cognitive Maps and Spatial Learning ﻿

(2016)
Spatial navigation in mammals is based on building a mental representation of their environment-a cognitive map. However, both the nature of this cognitive map and its underpinning in neural structures and activity remains ...
• #### The Minimalﾠk-Core Problem for Modelingﾠ k-Assemblies ﻿

(2015)
The concept of cell assembly was introduced by Hebb and formalized mathematically by Palm in the framework of graph theory. In the study of associative memory, a cell assembly is a group of neurons that are strongly connected ...
• #### Cytoplasmic sphingosine-1-phosphate pathway modulates neuronal autophagy ﻿

(2015)
Autophagy is an important homeostatic mechanism that eliminates long-lived proteins, protein aggregates and damaged organelles. Its dysregulation is involved in many neurodegenerative disorders. Autophagy is therefore a ...
• #### A Matrix-Free Trust-Region SQP Method for Equality Constrained Optimization ﻿

(2014)
We develop and analyze a trust-region sequential quadratic programming (SQP) method for the solution of smooth equality constrained optimization problems, which allows the inexact and hence iterative solution of linear ...
• #### A mathematical framework for inverse wave problems in heterogeneous media ﻿

(2013)
This paper provides a theoretical foundation for some common formulations of inverse problems in wave propagation, based on hyperbolic systems of linear integro-differential equations with bounded and measurable coefficients. ...