Sean David Lawley portrait
  • Associate Professor, Mathematics
801-581-6195

Publications

  • AM Alexander & SD Lawley (2022). Inferences from FRAP data are model dependent: a subdiffusive analysis. Biophysical Journal. Published, 09/2022.
    https://doi.org/10.1016/j.bpj.2022.09.015
  • J Johnson, JW Emerson & SD Lawley (2022). Recapitulating human ovarian aging using random walks. PeerJ. Published, 08/2022.
    https://doi.org/10.7717/peerj.13941
  • S Linn & SD Lawley (2022). Extreme hitting probabilities for diffusion. Journal of Physics A: Mathematical and Theoretical. Published, 08/2022.
    https://doi.org/10.1088/1751-8121/ac8191
  • ED Clark & SD Lawley (2022). Should patients skip late doses of medication? A pharmacokinetic perspective. Journal of Pharmacokinetics and Pharmacodynamics. Published, 06/2022.
    https://doi.org/10.1007/s10928-022-09812-0
  • SD Lawley, HF Nijhout & MC Reed (2022). Spiracular fluttering decouples oxygen uptake and water loss: a stochastic PDE model of respiratory water loss in insects. Journal of Mathematical Biology. Published, 04/2022.
    https://doi.org/10.1007/s00285-022-01740-4
  • NP McAllister & SD Lawley (2022). A pharmacokinetic and pharmacodynamic analysis of drug forgiveness. Journal of Pharmacokinetics and Pharmacodynamics. Published, 02/2022.
    https://doi.org/10.1007/s10928-022-09808-w
  • ED Counterman & SD Lawley (2021). Designing drug regimens that mitigate nonadherence. Bulletin of Mathematical Biology. Published, 12/2021.
    https://doi.org/10.1007/s11538-021-00976-3
  • AM Alexander & SD Lawley (2021). Reaction-subdiffusion equations with species-dependent movement. SIAM Journal on Applied Mathematics. Published, 11/2021.
    https://doi.org/10.1137/21M1414619
  • Y Bakhtin, T Hurth, SD Lawley & JC Mattingly (2021). Singularities of invariant densities for random switching between two linear ODEs in 2D. SIAM Journal on Applied Dynamical Systems. Published, 10/2021.
    https://doi.org/10.1137/20M1364345
  • ED Counterman & SD Lawley (2021). What should patients do if they miss a dose of medication? A theoretical approach. Journal of Pharmacokinetics and Pharmacodynamics. Published, 09/2021.
    https://doi.org/10.1007/s10928-021-09777-6
  • G Handy & SD Lawley (2021). Revising Berg-Purcell for finite receptor kinetics. Biophysical Journal. Published, 06/2021.
    https://doi.org/10.1016/j.bpj.2021.03.021
  • SD Lawley (2021). Extreme first passage times of piecewise deterministic Markov processes. Nonlinearity. Published, 05/2021.
    https://doi.org/10.1088/1361-6544/abcb07
  • SD Lawley (2021). The effects of fast inactivation on conditional first passage times of mortal diffusive searchers. SIAM Journal on Applied Mathematics. Vol. 81. Published, 01/2021.
    https://doi.org/10.1137/20M1324818
  • CE Plunkett & SD Lawley (2021). Bimolecular binding rates for pairs of spherical molecules with small binding sites. Multiscale Modeling and Simulation. Vol. 19. Published, 01/2021.
    https://doi.org/10.1137/20M1321991
  • SD Lawley (2020). Extreme first passage times for random walks on networks. Physical Review E. Vol. 102. Published, 12/2020.
    https://doi.org/10.1103/PhysRevE.102.062118
  • SD Lawley (2020). Subdiffusion-limited fractional reaction-subdiffusion equations with affine reactions: solution, stochastic paths, and applicationsSubdiffusion-limited fractional reaction-subdiffusion equations with affine reactions: solution, stochastic paths, and applications. Physical Review E. Vol. 102. Published, 10/2020.
    https://doi.org/10.1103/PhysRevE.102.042125
  • SD Lawley (2020). Anomalous reaction-diffusion equations for linear reactions. Physical Review E. Vol. 102. Published, 09/2020.
    https://doi.org/10.1103/PhysRevE.102.032117
  • SD Lawley & SD Lawley (2020). Extreme statistics of anomalous subdiffusion following a fractional Fokker-Planck equation: Subdiffusion is faster than normal diffusion. Journal of Physics A: Mathematical and Theoretical. Vol. 53. Published, 08/2020.
    https://doi.org/10.1088/1751-8121/aba39c
  • JB Madrid & SD Lawley (2020). Competition between slow and fast regimes for extreme first passage times of diffusion. Journal of Physics A: Mathematical and Theoretical. Vol. 53. Published, 07/2020.
    https://doi.org/10.1088/1751-8121/ab96ed
  • SD Lawley, AE Lindsay & CE Miles (2020). Receptor organization determines the limits of single-cell source location detection. Physical Review Letters. Vol. 125. Published, 07/2020.
    https://doi.org/10.1103/PhysRevLett.125.018102
  • SD Lawley & V Shankar (2020). Asymptotic and numerical analysis of a stochastic PDE model of volume transmission. Multiscale Modeling and Simulation. Vol. 18. Published, 05/2020.
    https://doi.org/10.1137/18M1230773
  • SD Lawley, MC Reed & HF Nijhout (2020). Spiracular fluttering increases oxygen uptake. PLOS ONE. Vol. 15. Published, 05/2020.
    https://doi.org/10.1371/journal.pone.0232450
  • P Murphy, PC Bressloff & SD Lawley (2020). Interaction between switching diffusivities and cellular microstructure. Multiscale Modeling and Simulation. Vol. 18. Published, 04/2020.
    https://doi.org/10.1137/19M1271245
  • SD Lawley (2020). Distribution of extreme first passage times of diffusion. Journal of Mathematical Biology. Vol. 80. Published, 04/2020.
    https://doi.org/10.1007/s00285-020-01496-9
  • SD Lawley & JB Madrid (2020). A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3. Journal of Nonlinear Science. Published, 01/2020.
    https://doi.org/10.1007/s00332-019-09605-9
  • SD Lawley (2020). Universal formula for extreme first passage statistics of diffusion. Physical Review E. Published, 01/2020.
    https://doi.org/10.1103/PhysRevE.101.012413
  • PB Bressloff, SD Lawley & P Murphy (2020). Effective permeability of a gap junction with age-structured switching. SIAM Journal on Applied Mathematics. Published, 01/2020.
    https://doi.org/10.1137/18M1223940
  • SD Lawley (2019). Boundary homogenization for trapping patchy particles. Physical Review E. Vol. 100. Published, 09/2019.
    https://link.aps.org/doi/10.1103/PhysRevE.100.0326...
  • SD Lawley & CE Miles (2019). Diffusive search for diffusing targets with fluctuating diffusivity and gating. Journal of Nonlinear Science. Published, 07/2019.
    https://doi.org/10.1007/s00332-019-09564-1
  • SD Lawley & JB Madrid (2019). First passage time distribution of multiple impatient particles with reversible binding. Journal of Chemical Physics. Vol. 150. Published, 06/2019.
    https://doi.org/10.1063/1.5098312
  • SD Lawley & CE Miles (2019). How receptor surface diffusion and cell rotation increase association rates. SIAM Journal on Applied Mathematics. Vol. 79, 1124–1146. Published, 06/2019.
    https://doi.org/10.1137/18M1217188
  • SD Lawley & JP Keener (2019). Electrodiffusive flux through a stochastically gated ion channel. SIAM Journal on Applied Mathematics. Vol. 79, 551–571. Published, 04/2019.
    https://doi.org/10.1137/18M1185041
  • PC Bressloff, SD Lawley & P Murphy (2019). Protein concentration gradients and switching diffusions. Physical Review E. Vol. 99, 032409. Published, 03/2019.
    https://doi.org/10.1103/PhysRevE.99.032409
  • G Handy, SD Lawley & A Borisyuk (2019). Role of trap recharge time on the statistics of captured particles. Physical Review E. Vol. 99. Published, 02/2019.
    https://doi.org/10.1103/PhysRevE.99.022420
  • SD Lawley (2018). Blowup from randomly switching between stable boundary conditions for the heat equation. Communications in Mathematical Sciences. Vol. 16. Published, 10/2018.
    http://dx.doi.org/10.4310/CMS.2018.v16.n4.a9
  • CE Miles, SD Lawley & JP Keener (2018). Analysis of non-processive molecular motor transport using renewal reward theory. SIAM Journal on Applied Mathematics. Vol. 78. Published, 09/2018.
    https://doi.org/10.1137/17M1156824
  • PC Bressloff, SD Lawley & P Murphy (2018). Diffusion in an age-structured randomly switching environment. Journal of Physics A: Mathematical and Theoretical. Vol. 51. Published, 06/2018.
    https://doi.org/10.1088/1751-8121/aaca7c
  • SD Lawley (2018). A probabilistic analysis of volume transmission in the brain. SIAM Journal on Applied Mathematics. Published, 03/2018.
    https://doi.org/10.1137/16M1102252
  • G Handy, SD Lawley & A Borisyuk (2018). Receptor recharge time drastically reduces the number of captured particles. PLoS Computational Biology. Published, 03/2018.
    https://doi.org/10.1371/journal.pcbi.1006015
  • Y Bakhtin, T Hurth, SD Lawley & JC Mattingly (2018). Smooth invariant densities for random switching on the torus. Nonlinearity. Published, 02/2018.
    https://doi.org/10.1088/1361-6544/aaa04f
  • PC Bressloff & SD Lawley (2017). Dynamically active compartments coupled by a stochastically-gated gap junction. Journal of Nonlinear Science. Published, 10/2017.
    http://dx.doi.org/10.1007/s00332-017-9374-5
  • PC Bressloff, BR Karamched, SD Lawley & E Levien (2017). Diffusive transport in the presence of stochastically gated absorption. Physical Review E. Published, 08/2017.
    https://doi.org/10.1103/PhysRevE.96.022102
  • SD Lawley & JP Keener (2017). Rebinding in biochemical reactions on membranes. Physical Biology. Published, 07/2017.
    https://doi.org/10.1088/1478-3975/aa6f93
  • PC Bressloff & SD Lawley (2017). Hybrid colored noise process with space-dependent switching rates. Physical Review E. Published, 07/2017.
    https://doi.org/10.1103/PhysRevE.96.012129
  • PC Bressloff & SD Lawley (2017). Mean first passage times for piecewise deterministic Markov processes and the effects of critical points. Journal of Statistical Mechanics: Theory and Experiment. Published, 06/2017.
    https://doi.org/10.1088/1742-5468/aa71df
  • PC Bressloff & SD Lawley (2017). Temporal disorder as a mechanism for spatially heterogeneous diffusion. Physical Review E - Rapid Communication. Published, 06/2017.
    https://doi.org/10.1103/PhysRevE.95.060101
  • PC Bressloff & SD Lawley (2017). Residence times of a Brownian particle with temporal heterogeneity. Journal of Physics A: Mathematical and Theoretical. Published, 04/2017.
    http://dx.doi.org/10.1088/1751-8121/aa692a
  • SD Lawley & JP Keener (2016). Including rebinding reactions in well-mixed models of distributive biochemical reactions. Biophysical Journal. Published, 10/2016.
    http://dx.doi.org/10.1016/j.bpj.2016.10.008
  • SD Lawley, J Best & MC Reed (2016). Neurotransmitter concentrations in the presence of neural switching in one dimension. Discrete and Continuous Dynamical Systems - Series B. Published, 08/2016.
    http://dx.doi.org/10.3934/dcdsb.2016046
  • SD Lawley (2016). Boundary value problems for statistics of diffusion in a randomly switching environment: PDE and SDE perspectives. SIAM Journal on Applied Dynamical Systems. Published, 08/2016.
    http://dx.doi.org/10.1137/15M1038426
  • PC Bressloff & SD Lawley (2016). Diffusion on a tree with stochastically-gated nodes. Journal of Physics A: Mathematical and Theoretical. Published, 05/2016.
    http://dx.doi.org/10.1088/1751-8113/49/24/245601
  • PC Bressloff & SD Lawley (2015). Stochastically gated diffusion-limited reactions for a small target in a bounded domain. Physical Review E. Published, 12/2015.
    http://dx.doi.org/10.1103/PhysRevE.92.062117
  • PC Bressloff & SD Lawley (2015). Escape from subcellular domains with randomly switching boundaries. SIAM Multiscale Modeling and Simulation. Published, 12/2015.
    http://dx.doi.org/10.1137/15M1019258
  • SD Lawley, M Tuft & HA Brooks (2015). Coarse-graining intermittent intracellular transport: Two- and three-dimensional models. Physical Review E. Published, 10/2015.
    http://dx.doi.org/10.1103/PhysRevE.92.042709
  • SD Lawley & JP Keener (2015). A new derivation of Robin boundary conditions through homogenization of a stochastically switching boundary. SIAM Journal on Applied Dynamical Systems. Published, 10/2015.
    http://dx.doi.org/10.1137/15M1015182
  • SD Lawley, JC Mattingly & MC Reed (2015). Stochastic switching in infinite dimensions with applications to random parabolic PDE. SIAM Journal on Mathematical Analysis. Published, 08/2015.
    http://dx.doi.org/10.1137/140976716
  • PC Bressloff & SD Lawley (2015). Escape from a potential well with a randomly switching boundary. Journal of Physics A: Mathematical and Theoretical. Published, 05/2015.
    http://dx.doi.org/10.1088/1751-8113/48/22/225001
  • PC Bressloff & SD Lawley (2015). Moment equations for a piecewise deterministic PDE. Journal of Physics A: Mathematical and Theoretical. Published, 02/2015.
    http://dx.doi.org/10.1088/1751-8113/48/10/105001
  • SD Lawley, J Yun, M Gamble, M Hall, MC Reed & HF Nijhout (2014). Mathematical modeling of the effects of glutathione on arsenic methylation. Theoretical Biology and Medical Modelling. Published, 05/2014.
    http://dx.doi.org/10.1186/1742-4682-11-20
  • SD Lawley, JC Mattingly & MC Reed (2014). Sensitivity to switching rates in stochastically switched ODEs. Communications in Mathematical Sciences. Published, 02/2014.
    http://dx.doi.org/10.4310/CMS.2014.v12.n7.a9
  • SD Lawley, M Cinderella, M Hall, M Gamble, HF Nijhout & MC Reed (2011). Mathematical model insights into arsenic methylation. Theoretical Biology and Medical Modelling. Published, 08/2011.
    http://dx.doi.org/10.1186/1742-4682-8-31

Presentations

  • Math Bio Workshop on Stochastic Spatial Dynamics at Utah State University. Invited Talk/Keynote, Accepted, 02/2023.
  • Society for Mathematical Biology Annual Meeting, Lee Segel Plenary Session. Invited Talk/Keynote, Accepted, 02/2023.
  • University of Pennsylvania Mathematical Biology Seminar. Invited Talk/Keynote, Accepted, 12/2022.
  • University of Minnesota Mathematical Biology Seminar. Invited Talk/Keynote, Presented, 09/2022.
  • ICIAM Minisymposium: Stochastic modeling in cell biology. Invited Talk/Keynote, Accepted, 09/2022.
  • University of New Mexico Applied Math Seminar. Invited Talk/Keynote, Presented, 04/2022.
  • Duke University Mathematical Biology Seminar. Invited Talk/Keynote, Presented, 04/2022.
  • SIAM Dynamical Systems Minisymposium: The interplay between dynamics and data science. Invited Talk/Keynote, Accepted, 05/2021.
    https://www.siam.org/conferences/cm/conference/ds2...
  • PIMS Workshop on New Trends in Localized Patterns in PDEs. Invited Talk/Keynote, Accepted, 05/2021.
    https://www.pims.math.ca/scientific-event/210510-p...
  • ICMC Summer Meeting on Differential Equations. Invited Talk/Keynote, Presented, 02/2021.
    http://summer.icmc.usp.br/summers/summer21/index.p...
  • University of Houston Mathematics Department Colloquium. Invited Talk/Keynote, Presented, 01/2021.
    https://www.math.uh.edu/colloquium/
  • SIAM Life Sciences Minisymposium: Multiscale Modeling for Rules of Life (minisymposium cancelled due to COVID19). Invited Talk/Keynote, Accepted, 06/2020.
    https://www.siam.org/conferences/cm/conference/ls2...
  • Mathematical and Computational Methods in Biology at the Mathematical Biosciences Institute at Ohio State University. Invited Talk/Keynote, Accepted, 05/2020.
    https://mbi.osu.edu/events/mathematical-and-comput...
  • University of Notre Dame Applied Math Seminar (postponed due to COVID19). Invited Talk/Keynote, Accepted, 04/2020.
  • Workshop on Differential Equations and Applications in Biology (cancelled/postponed due to COVID19). Invited Talk/Keynote, Accepted, 03/2020.
    https://sciences.ucf.edu/math/mathbio/2020workshop...
  • Utah State University Applied Math Seminar. Invited Talk/Keynote, Presented, 01/2020.
    https://math.usu.edu/seminars-and-colloquia
  • AMS Special Session: Multi-Scale Modeling of Complex Biological Systems. Invited Talk/Keynote, Presented, 11/2019.
  • New Jersey Institute of Technology Applied Mathematics Colloquium. Invited Talk/Keynote, Presented, 09/2019.
  • SIAM Dynamical Systems Minisymposium: Advances in reaction diffusion systems Snowbird, USA. Invited Talk/Keynote, Presented, 05/2019.
  • Tufts University Mathematics Colloquium Boston, USA. Invited Talk/Keynote, Presented, 03/2019.
  • Conference on Recent Advances in Pure and Applied Stochastics New Orleans, USA. Invited Talk/Keynote, Presented, 03/2019.
  • Washington State University Mathematics Colloquium Pullman, USA. Invited Talk/Keynote, Presented, 01/2019.
  • University of Neuchatel Mathematics Colloquium Neuchatel, Switzerland. Invited Talk/Keynote, Presented, 12/2018.
  • Colorado State University Applied Math Seminar Fort Collins, USA. Invited Talk/Keynote, Presented, 09/2018.
  • Workshop on Advanced asymptotics in PDEs, probabilistic methods in statistical physics for extreme statistics, and rare events Pisa, Italy. Invited Talk/Keynote, Presented, 09/2018.
  • SIAM Life Sciences Minisymposium: Agent-based Modeling in the Life Sciences Minneapolis, USA. Invited Talk/Keynote, Presented, 08/2018.
  • AMS Special Session: Biomathematics - Progress and Future Directions Portland, USA. Invited Talk/Keynote, Presented, 04/2018.

Grants, Contracts & Research Gifts

  • CAREER: How diffusion, dimension, geometry, and redundancy affect cellular dynamics. PI: Sean Lawley. National Science Foundation, 07/01/2020 - 06/30/2025. Total project budget to date: $450,000.00
  • RTG: Research Training in Mathematical and Computational Biology. PI: James Keener. Co-PI(s): Sean Lawley, Alla Borisyuk, Paul Bressloff, Frederick Adler. National Science Foundation, 08/01/2012 - 07/31/2017. Total project budget to date: $2,496,299.00
  • SWITCHING DIFFUSION. PI: LAWLEY,SEAN DAVID. NATIONAL SCIENCE FOUNDATION, 07/01/2018 - 06/30/2021. Total project budget to date: $250,000.00