Sean David Lawley portrait
  • Associate Professor, Mathematics

Publications

  • ED Counterman (date unknown). Designing drug regimens that mitigate nonadherence. Bulletin of Mathematical Biology. Accepted, .
  • SD Lawley (date unknown). Extreme first passage times for random walks on networks. Physical Review E. Vol. 102. Accepted, .
  • PC Bressloff (date unknown). Escape from subcellular domains with randomly switching boundaries. SIAM Multiscale Modeling and Simulation. Accepted, .
  • PC Bressloff (date unknown). Stochastically gated diffusion-limited reactions for a small target in a bounded domain. Physical Review E. Accepted, .
  • AM Alexander (date unknown). Reaction-subdiffusion equations with species-dependent movement. SIAM Journal on Applied Mathematics. Accepted, .
  • Y Bakhtin (date unknown). Singularities of invariant densities for random switching between two linear ODEs in 2D. SIAM Journal on Applied Dynamical Systems. Accepted, .
  • SD Lawley (date unknown). 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. Accepted, .
  • SD Lawley (date unknown). Blowup from randomly switching between stable boundary conditions for the heat equation. Communications in Mathematical Sciences. Vol. 16. Accepted, .
  • PC Bressloff (date unknown). Dynamically active compartments coupled by a stochastically-gated gap junction. Journal of Nonlinear Science. Accepted, .
  • SD Lawley (date unknown). Including rebinding reactions in well-mixed models of distributive biochemical reactions. Biophysical Journal. Accepted, .
  • SD Lawley (date unknown). Coarse-graining intermittent intracellular transport: Two- and three-dimensional models. Physical Review E. Accepted, .
  • SD Lawley (date unknown). A new derivation of Robin boundary conditions through homogenization of a stochastically switching boundary. SIAM Journal on Applied Dynamical Systems. Accepted, .
  • ED Counterman (date unknown). What should patients do if they miss a dose of medication? A theoretical approach. Journal of Pharmacokinetics and Pharmacodynamics. Accepted, .
  • SD Lawley (date unknown). Anomalous reaction-diffusion equations for linear reactions. Physical Review E. Vol. 102. Accepted, .
  • SD Lawley (date unknown). Boundary homogenization for trapping patchy particles. Physical Review E. Vol. 100. Accepted, .
  • CE Miles (date unknown). Analysis of non-processive molecular motor transport using renewal reward theory. SIAM Journal on Applied Mathematics. Vol. 78. Accepted, .
  • SD Lawley (date unknown). 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. Accepted, .
  • PC Bressloff (date unknown). Diffusive transport in the presence of stochastically gated absorption. Physical Review E. Accepted, .
  • SD Lawley (date unknown). Boundary value problems for statistics of diffusion in a randomly switching environment: PDE and SDE perspectives. SIAM Journal on Applied Dynamical Systems. Accepted, .
  • SD Lawley (date unknown). Neurotransmitter concentrations in the presence of neural switching in one dimension. Discrete and Continuous Dynamical Systems - Series B. Accepted, .
  • SD Lawley (date unknown). Stochastic switching in infinite dimensions with applications to random parabolic PDE. SIAM Journal on Mathematical Analysis. Accepted, .
  • SD Lawley (date unknown). Mathematical model insights into arsenic methylation. Theoretical Biology and Medical Modelling. Accepted, .
  • SD Lawley (date unknown). Receptor organization determines the limits of single-cell source location detection. Physical Review Letters. Vol. 125. Accepted, .
  • JB Madrid (date unknown). Competition between slow and fast regimes for extreme first passage times of diffusion. Journal of Physics A: Mathematical and Theoretical. Vol. 53. Accepted, .
  • SD Lawley (date unknown). Diffusive search for diffusing targets with fluctuating diffusivity and gating. Journal of Nonlinear Science. Accepted, .
  • PC Bressloff (date unknown). Hybrid colored noise process with space-dependent switching rates. Physical Review E. Accepted, .
  • SD Lawley (date unknown). Rebinding in biochemical reactions on membranes. Physical Biology. Accepted, .
  • G Handy (date unknown). Revising Berg-Purcell for finite receptor kinetics. Biophysical Journal. Accepted, .
  • SD Lawley (date unknown). How receptor surface diffusion and cell rotation increase association rates. SIAM Journal on Applied Mathematics. Vol. 79, 1124–1146. Accepted, .
  • SD Lawley (date unknown). First passage time distribution of multiple impatient particles with reversible binding. Journal of Chemical Physics. Vol. 150. Accepted, .
  • PC Bressloff (date unknown). Diffusion in an age-structured randomly switching environment. Journal of Physics A: Mathematical and Theoretical. Vol. 51. Accepted, .
  • PC Bressloff (date unknown). Mean first passage times for piecewise deterministic Markov processes and the effects of critical points. Journal of Statistical Mechanics: Theory and Experiment. Accepted, .
  • PC Bressloff (date unknown). Temporal disorder as a mechanism for spatially heterogeneous diffusion. Physical Review E - Rapid Communication. Accepted, .
  • SD Lawley (date unknown). Extreme first passage times of piecewise deterministic Markov processes. Nonlinearity. Accepted, .
  • SD Lawley (date unknown). Spiracular fluttering increases oxygen uptake. PLOS ONE. Vol. 15. Accepted, .
  • SD Lawley (date unknown). Asymptotic and numerical analysis of a stochastic PDE model of volume transmission. Multiscale Modeling and Simulation. Vol. 18. Accepted, .
  • PC Bressloff (date unknown). Diffusion on a tree with stochastically-gated nodes. Journal of Physics A: Mathematical and Theoretical. Accepted, .
  • PC Bressloff (date unknown). Escape from a potential well with a randomly switching boundary. Journal of Physics A: Mathematical and Theoretical. Accepted, .
  • SD Lawley (date unknown). Mathematical modeling of the effects of glutathione on arsenic methylation. Theoretical Biology and Medical Modelling. Accepted, .
  • SD Lawley (date unknown). Distribution of extreme first passage times of diffusion. Journal of Mathematical Biology. Vol. 80. Accepted, .
  • P Murphy (date unknown). Interaction between switching diffusivities and cellular microstructure. Multiscale Modeling and Simulation. Vol. 18. Accepted, .
  • SD Lawley (date unknown). Electrodiffusive flux through a stochastically gated ion channel. SIAM Journal on Applied Mathematics. Vol. 79, 551–571. Accepted, .
  • PC Bressloff (date unknown). Residence times of a Brownian particle with temporal heterogeneity. Journal of Physics A: Mathematical and Theoretical. Accepted, .
  • PC Bressloff (date unknown). Protein concentration gradients and switching diffusions. Physical Review E. Vol. 99, 032409. Accepted, .
  • SD Lawley (date unknown). A probabilistic analysis of volume transmission in the brain. SIAM Journal on Applied Mathematics. Accepted, .
  • G Handy (date unknown). Receptor recharge time drastically reduces the number of captured particles. PLoS Computational Biology. Accepted, .
  • NP McAllister (date unknown). A pharmacokinetic and pharmacodynamic analysis of drug forgiveness. Journal of Pharmacokinetics and Pharmacodynamics. Accepted, .
  • G Handy (date unknown). Role of trap recharge time on the statistics of captured particles. Physical Review E. Vol. 99. Accepted, .
  • Y Bakhtin (date unknown). Smooth invariant densities for random switching on the torus. Nonlinearity. Accepted, .
  • PC Bressloff (date unknown). Moment equations for a piecewise deterministic PDE. Journal of Physics A: Mathematical and Theoretical. Accepted, .
  • SD Lawley (date unknown). Sensitivity to switching rates in stochastically switched ODEs. Communications in Mathematical Sciences. Accepted, .
  • SD Lawley (date unknown). The effects of fast inactivation on conditional first passage times of mortal diffusive searchers. SIAM Journal on Applied Mathematics. Vol. 81. Accepted, .
  • CE Plunkett (date unknown). Bimolecular binding rates for pairs of spherical molecules with small binding sites. Multiscale Modeling and Simulation. Vol. 19. Accepted, .
  • SD Lawley (date unknown). Universal formula for extreme first passage statistics of diffusion. Physical Review E. Accepted, .
  • PB Bressloff (date unknown). Effective permeability of a gap junction with age-structured switching. SIAM Journal on Applied Mathematics. Accepted, .
  • SD Lawley (date unknown). A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3. Journal of Nonlinear Science. Accepted, .

Presentations

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

Grants, Contracts & Research Gifts

  • CAREER: How diffusion, dimension, geometry, and redundancy affect cellular dynamics. PI: - 2025. Total project budget to date:
  • SWITCHING DIFFUSION. PI: - 2021. Total project budget to date:
  • RTG: Research Training in Mathematical and Computational Biology. PI: - 2017. Total project budget to date: