Graduate Student Publications

Communications biology

Mena, S; Cruikshank, A; Best, J; Nijhout, HF; Reed, MC; Hashemi, P

Selective serotonin reuptake inhibitors (SSRIs) are widely used for depression based on the monoamine deficiency hypothesis. However, the clinical use of these agents is controversial, in part because of their variable clinical efficacy and in part because of their delayed onset of action. Because… read more about this publication »

Physiological measurement

McErlean, J; Malik, J; Lin, Y-T; Talmon, R; Wu, H-T

Objective.We aimed to fuse the outputs of different electrocardiogram-derived respiration (EDR) algorithms to create one higher quality EDR signal.Methods.We viewed each EDR algorithm as a software sensor that recorded breathing activity from a different vantage point, identified high-quality… read more about this publication »

IEEE transactions on signal processing : a publication of the IEEE Signal Processing Society

Melikechi, O; Dunson, DB

We introduce Cayley transform ellipsoid fitting (CTEF), an algorithm that uses the Cayley transform to fit ellipsoids to noisy data in any dimension. Unlike many ellipsoid fitting methods, CTEF is ellipsoid specific, meaning it always returns elliptic solutions, and can fit arbitrary ellipsoids. It… read more about this publication »

Journal of biological dynamics

Cruikshank, A; Nijhout, HF; Best, J; Reed, M

In volume transmission (or neuromodulation) neurons do not make one-to-one connections to other neurons, but instead simply release neurotransmitter into the extracellular space from numerous varicosities. Many well-known neurotransmitters including serotonin (5HT), dopamine (DA), histamine (HA),… read more about this publication »

Theoretical Population Biology

Tung, H-R; Durrett, R

Chan, Durrett, and Lanchier introduced a multitype contact process with temporal heterogeneity involving two species competing for space on the d-dimensional integer lattice. Time is divided into two seasons. They proved that there is an open set of the parameters for which both species can coexist… read more about this publication »

Proceedings of the National Academy of Sciences of the United States of America

Boyle, L; Hletko, S; Huang, J; Lee, J; Pallod, G; Tung, H-R; Durrett, R

The main mathematical result in this paper is that change of variables in the ordinary differential equation (ODE) for the competition of two infections in a Susceptible-Infected-Removed (SIR) model shows that the fraction of cases due to the new variant satisfies the logistic differential equation… read more about this publication »

Journal of Mathematical Biology

Melikechi, O; Young, AL; Tang, T; Bowman, T; Dunson, D; Johndrow, J

The Susceptible-Infectious-Recovered (SIR) equations and their extensions comprise a commonly utilized set of models for understanding and predicting the course of an epidemic. In practice, it is of substantial interest to estimate the model parameters based on noisy observations early in the… read more about this publication »

Bulletin of Mathematical Biology

Gong, Y; He, S; Kiselev, A

In this paper, we consider the dynamics of a 2D target-searching agent performing Brownian motion under the influence of fluid shear flow and chemical attraction. The analysis is motivated by numerous situations in biology where these effects are present, such as broadcast spawning of marine… read more about this publication »

Archive for Rational Mechanics and Analysis

Lu, J; Stubbs, KD; Watson, AB

Exponentially-localized Wannier functions (ELWFs) are an orthonormal basis of the Fermi projection of a material consisting of functions which decay exponentially fast away from their maxima. When the material is insulating and crystalline, conditions which guarantee existence of ELWFs in… read more about this publication »

Involve, a Journal of Mathematics

Chouliara, D; Gong, Y; He, S; Kiselev, A; Lim, J; Melikechi, O; Powers, K

The 2-dimensional motion of a particle subject to Brownian motion and ambient shear flow transportation is considered. Numerical experiments are carried out to explore the relation between the shear strength, box size, and the particle’s expected first hitting time of a given target. The simulation… read more about this publication »

Journal of Applied and Computational Topology

Arya, S; Boissonnat, J-D; Dutta, K; Lotz, M

AbstractGiven a set P of n points and a constant k, we are interested in computing the persistent homology of the Čech filtration of P for the k-distance, and investigate the effectiveness of dimensionality reduction for this problem, answering an open question of Sheehy (The persistent homology of… read more about this publication »

Journal of Personalized Medicine

Chen, HY; Malik, J; Wu, HT; Wang, CL

Background: The application of heart rate variability is problematic in patients with atrial fibrillation (AF). This study aims to explore the associations between all-cause mortality and the median hourly ambulatory heart rate range (ÃHRR24hr) compared with other parameters obtained from the… read more about this publication »