**Preprints.**

- Sean D. Lawley,
**Alan E. Lindsay**, Christopher E. Miles

*Receptor organization determines the limits of single-cell source location detection.*

Submitted PDF -
Frederic Paquin-Lefebvre, Bin Xu, Kelsey L. DiPietro,
**Alan E. Lindsay**, Alexandra Jilkine

*Pattern formation in a coupled membrane-bulk reaction-diffusion model for intracellular polarization and oscillations.*

Submitted PDF

**Articles.**

- Paul Rumbach,
**Alan E. Lindsay**, David B. Go

*Turing patterns on a plasma-liquid interface*

Plasma Sources Sci. Technol. (2019) 28 105014 PDF

- R. A. Fernandes, K. A Ganzinger, J. C. Tzou, P. Jonsson, S. F. Lee, M. Palayret, V. T. Chang, M. Da Cunha Santos, C. Macleod,
**A.E. Lindsay**, O. Dushek, A. Tilevik, S. J. Davis, D. Klenerman.

*A cell-topography based mechanism for ligand discrimination by the T-cell receptor.*

PNAS, (2019) 116 (28) 14002-14010 Link - K.L. DiPietro,
**A.E. Lindsay**

*Adaptive solution to two dimensional partial differential equations in curved domains using the Monge-Ampere simulation equation.*

SIAM Journal on Scientific Computing, (2019) 44(2), pp. 1331--1356. PDF - K.L. DiPietro, R. D. Haynes,
**A.E. Lindsay**, W. Huang, Y. Yu.

*Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems.*

Journal of Computational Physics (2018), 375, pp. 763--782. PDF - A.J. Bernoff,
**A.E. Lindsay**, D.D. Schmidt.

*Boundary homogenization and capture time distributions of semi-permeable membranes with periodic patterns of reactive sites.*

Multiscale Modeling and Simulation (2018) 16(3), pp. 1411--1447. PDF -
**A.E. Lindsay**, B. Quaife, L. Wendelberger.

*A boundary element method for computing the vibrational modes of elastic plates with localized punctures.*

Advances in Computational Mathematics (2018), 44(4), pp. 1249--1273 PDF -
**A.E. Lindsay**, A.J. Bernoff.

*Numerical approximation of diffusive capture rates by planar and spherical surfaces with absorbing pores.*

SIAM Journal on Applied Math. (2018), 78(1), pp. 266--290. PDF - K.L. DiPietro,
**A.E. Lindsay**

*Monge-Ampere simulation of fourth order PDEs in two dimensions with application to elastic-electrostatic contact problems.*

Journal of Computational Physics, 349, (2017), pp. 328-350. PDF -
**A.E. Lindsay**, J.C. Tzou, T. Kolokolnikov.

*Optimization of first passage times by multiple cooperating mobile traps.*

SIAM Multiscale Modeling and Simulation (2017), Vol. 15, No. 2, pp. 920-947. PDF -
**A.E. Lindsay**, A.J. Bernoff, M.J. Ward.

*First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps.*

SIAM Multiscale Modeling and Simulation, (2017), Vol. 15, No. 1 : pp. 74--109. PDF -
**A.E. Lindsay**, R.T. Spoonmore, J.C. Tzou.

*Hybrid asymptotic-numerical approach for estimating first passage time densities of the two-dimensional narrow capture problem.*

Physical Review E. (2016)**94**, 042418 PDF -
**A.E. Lindsay**.

*Regularized Model of Post-Touchdown Configurations in Electrostatic MEMS: Bistability Analysis.*

Journal of Engineering Math. (2016) Vol. 99, No. 1, pp. 65--77. PDF -
**A.E. Lindsay**, W. Hao, A.J. Sommese

*Vibrations of thin plates with small clamped patches.*

Proceedings of the Royal Society A. (2015), Vol. 471, No. 2184. PDF -
**A.E. Lindsay**, J. Lega, K.B. Glasner.

*Regularized Model of Post-Touchdown Configurations in Electrostatic MEMS: Interface Dynamics.*

IMA Journal of Applied Mathematics, (2015) 80(6), pp. 1635--1663. PDF -
**A.E. Lindsay**, M.J. Ward, T. Kolokolnikov.

*The Transition to Point Constraint in a Mixed Biharmonic Eigenvalue Problem.*

SIAM Journal on Applied Mathematics, (2015) 75(3), pp. 1193--1224. PDF -
**A.E. Lindsay**, J.C. Tzou, T. Kolokolnikov.

*Narrow escape problem with a mixed trap and the effect of orientation.*

Physical Review E (2015) Vol.91, No.3. PDF - T. Kolokolnikov,
**A.E. Lindsay**.

*Recovering multiple small inclusions in a three dimensional domain using a single measurement.*

Inverse Problems in Science and Engineering, (2015) Vol. 23, No. 5, pp. 377--388.PDF - F. Tonolini, S. Chan, M. Agnew,
**A.E. Lindsay**, J. Leach.

*Reconstructing high-dimensional two-photon entangled states via compressive sensing.*

Scientific Reports (2014), Vol. 4, No. 6542.PDF -
**A.E. Lindsay**, J. Lega, K.B. Glasner.

*Regularized model of post-touchdown configurations in electrostatic MEMS: Equilibrium Analysis.*

Physica D: Nonlinear Phenomena, (2014) Vol. 280-281, pp. 95--108. PDF -
**A.E. Lindsay**.

An asymptotic study of blow up multiplicity in fourth order parabolic partial differential equations.

DCDS-B, (2014),**19**(1) pp. 189--215. PDF -
**A.E. Lindsay**, J. Lega, F.J. Sayas.

*The quenching set of a MEMS capacitor in two-dimensional geometries.*

Journal of Nonlinear Science, (2013),**23**(5), pp. 807--834.PDF -
**A.E. Lindsay**, K.B. Glasner.

*The stability and evolution of curved domains arising from one dimensional localized patterns.*

SIAM Journal on Applied Dynamical Systems, (2013),**12**(2), pp. 650--673.PDF - N.D. Brubaker,
**A.E. Lindsay**.

*The onset of multi-valued solutions of a prescribed mean curvature equation with singular nonlinearity.*

European Journal of Applied Mathematics, (2013),**25**(5), pp. 631--656.PDF -
**A.E. Lindsay**, J. Lega.

*Quenching solutions of a fourth order PDE with a singular nonlinearity modelling a MEMS capacitor.*

SIAM Journal on Applied Mathematics, (2012),**72**(3), pp. 935--958.PDF -
**A.E. Lindsay**, D.R. Brecher.

*Simulation of the CEV process and the local martingale property.*

Mathematics and Computers in Simulation, (2012),**82**(5), pp. 868--878.PDF - M.C. Kropinski,
**A.E. Lindsay**, M.J. Ward.

*Asymptotic Analysis of Localized Solutions to Some Linear and Nonlinear Biharmonic Eigenvalue Problems.*

Studies in Applied Mathematics, (2011),**126**(4), pp. 347--408.PDF -
**A.E. Lindsay**, M.J. Ward.

*Asymptotics of some nonlinear eigenvalue problems modelling a MEMS Capacitor. Part II: multiple solutions and singular asymptotics.*

European Journal of Applied Mathematics, (2011),**22**(2), pp. 83--123.PDF -
**A.E. Lindsay**, M.J. Ward.

*An Asymptotic Analysis of the Persistence Threshold for the Diffusive Logistic Model in Spatial Environments with Localized Patches.*

DCDS-B, (2010),**14**(3), pp. 1139--1179.PDF -
**A.E. Lindsay**, M.J. Ward.

*Asymptotics of some nonlinear eigenvalue problems for a MEMS capacitor: Part I: Fold point asymptotics.*

Methods and Applications of Analysis, (2008),**15**(3), pp. 297--326.PDF -
**A.E. Lindsay**, K.A. Lindsay and J.R. Rosenberg.

*New concepts in compartmental modelling.*

Computing and Visualization in Science, (2007)**10**(2), pp. 79--98. -
**A.E. Lindsay**, K.A. Lindsay and J.R. Rosenberg.*Increased computational accuracy in multi-compartmental cable models by a novel approach for precise point process localization.*

Journal of Computational Neuroscience, (2005),**19**, pp. 21--37.