Associate Professor Mathematics Department University of Utah 

lawley at math.utah.edu  
Curriculum Vitae 
Bio
 2021present: Associate Professor, University of Utah
 20162021: Assistant Professor, University of Utah
 20142016: Postdoc, University of Utah
 2014: PhD in Mathematics, Duke University
Funding and awards
 NSF DMS2325258, 20232026: eMB: Collaborative Research: Stochasticity in ovarian aging and biotechnologies for menopause delay
 NSF DMS1944574, 20202025: CAREER: How diffusion, dimension, geometry, and redundancy affect cellular dynamics
 NSF DMS1814832, 20182023: Diffusion in stochastic environments: analysis and biological applications
 SIAM Life Sciences Early Career Prize, 2018
 NSF DMS RTG1148230, CoPI 20162020: Research training in mathematical and computational biology
Publications
Submitted:
 78. Hitting probabilities for fast stochastic search
S Linn, SD Lawley
Submitted  77. Modifying the narrow escape time for imperfect reactions
A Cengiz, SD Lawley
Submitted  76. Fast decisions reflect biases, slow decisions do not
S Linn, SD Lawley, BR Karamched, ZP Kilpatrick, K Josic
Submitted (arXiv:2401.00306)  75. Competition of many searchers
SD Lawley
Invited chapter in The Target Problem, editors: DS Grebenkov, R Metzler, G Oshanin (arXiv:2310.02157)
In press:
 74. Boundary homogenization for partially reactive patches
CE Plunkett, SD Lawley
Multiscale Modeling and Simulation, in press  73. First hitting time of a onedimensional Levy flight to small targets
D Gomez, SD Lawley
SIAM Journal on Applied Mathematics, in press (arXiv:2307.06274)
2024:
 72. Understanding and quantifying network robustness to stochastic inputs
HR Tung, SD Lawley
Bulletin of Mathematical Biology, 86(55), 2024  71. Cover times of many diffusive or subdiffusive searchers
H Kim, SD Lawley
SIAM Journal on Applied Mathematics, 84(2), 2024 (arXiv:2308.13417)  70. Modeling delay of age at natural menopause with planned tissue cryopreservation and autologous transplantation
J Johnson, SD Lawley, JW Emerson, K Oktay
American Journal of Obstetrics & Gynecology, 2024
Try our menopause delay calculator  69. Cover times of many random walkers on a discrete network
H Kim, SD Lawley
Physical Review E, 109(1), 2024 (arXiv:2310.07905)  68. Mathematical recapitulation of the end stages of human ovarian aging
SD Lawley, MD Sammel, N Santoro, J Johnson
Science Advances, 10(2), 2024  67. How drug onset rate and duration of action affect drug forgiveness
ED Clark, SD Lawley
Journal of Pharmacokinetics and Pharmacodynamics, 2024
2023:
 66. First passage times under frequent stochastic resetting
S Linn, SD Lawley
Physical Review E, 108(2), 2023  65. Extreme statistics of superdiffusive Levy flights and every other Levy subordinate Brownian motion
SD Lawley
Journal of Nonlinear Science, 33(53), 2023 (arXiv:2103.07851)  64. Slowest first passage times, redundancy, and menopause timing
SD Lawley, J Johnson
Journal of Mathematical Biology, 86(90), 2023  63. Why is there an "oversupply" of human ovarian follicles?
SD Lawley, J Johnson
Biology of Reproduction, 108(5), 2023  62. Boundary homogenization for patchy surfaces trapping patchy particles
CE Plunkett, SD Lawley
Journal of Chemical Physics, 158(9), 2023
2022:
 61. Inferences from FRAP data are model dependent: a subdiffusive analysis
AM Alexander, SD Lawley
Biophysical Journal, 121(20), 2022  60. Recapitulating human ovarian aging using random walks
J Johnson, JW Emerson, SD Lawley
PeerJ, 10:e13941, 2022  59. Extreme hitting probabilities for diffusion
S Linn, SD Lawley
Journal of Physics A: Mathematical and Theoretical, 55(34), 2022 (arXiv:2110.11277)  58. Should patients skip late doses of medication? A pharmacokinetic perspective
ED Clark, SD Lawley
Journal of Pharmacokinetics and Pharmacodynamics, 2022  57. Spiracular fluttering decouples oxygen uptake and water loss: a stochastic PDE model of respiratory water loss in insects
SD Lawley, HF Nijhout, MC Reed
Journal of Mathematical Biology, 84(40), 2022  56. A pharmacokinetic and pharmacodynamic analysis of drug forgiveness
NP McAllister, SD Lawley
Journal of Pharmacokinetics and Pharmacodynamics, 2022  55. Designing drug regimens that mitigate nonadherence
ED Counterman, SD Lawley
Bulletin of Mathematical Biology, 84(20), 2022 (arXiv:2108.08358)
Awarded 2023 Lee A. Segel Best Student Paper Prize of the Society for Mathematical Biology
2021:
 54. Reactionsubdiffusion equations with speciesdependent movement
AM Alexander, SD Lawley
SIAM Journal on Applied Mathematics, 81(6), 2021 (arXiv:2104.11151)  53. Singularities of invariant densities for random switching between two linear ODEs in 2D
Y Bakhtin, T Hurth, SD Lawley, JC Mattingly
SIAM Journal on Applied Dynamical Systems, 20(40), 2021 (arXiv:2009.01299)  52. What should patients do if they miss a dose of medication? A theoretical approach
ED Counterman, SD Lawley
Journal of Pharmacokinetics and Pharmacodynamics, 2021 (arXiv:2102.05442)  51. Revising BergPurcell for finite receptor kinetics
G Handy, SD Lawley
Biophysical Journal, 120(11), 2021 (arXiv:2101.05956)  50. Extreme first passage times of piecewise deterministic Markov processes
SD Lawley
Nonlinearity, 34(5), 2021 (arXiv:1912.03438)  49. Bimolecular binding rates for pairs of spherical molecules with small binding sites
CE Plunkett, SD Lawley
Multiscale Modeling and Simulation, 19(1), 2021 (arXiv:2002.11703)  48. The effects of fast inactivation on conditional first passage times of mortal diffusive searchers
SD Lawley
SIAM Journal on Applied Mathematics, 81(1), 2021 (arXiv:2003.05515)
2020:
 47. Extreme first passage times for random walks on networks
SD Lawley
Physical Review E, 102(6), 2020
Promoted by the editors as an "Editor's Suggestion" featured article  46. Subdiffusionlimited fractional reactionsubdiffusion equations with affine reactions: solution, stochastic paths, and applications
SD Lawley
Physical Review E, 102(4), 2020  45. Anomalous reactiondiffusion equations for linear reactions
SD Lawley
Physical Review E, 102(3), 2020  44. Extreme statistics of anomalous subdiffusion following a fractional FokkerPlanck equation: Subdiffusion is faster than normal diffusion
SD Lawley
Journal of Physics A: Mathematical and Theoretical, 53(38), 2020 (arXiv:2004.14994)  43. Competition between slow and fast regimes for extreme first passage times of diffusion
JB Madrid, SD Lawley
Journal of Physics A: Mathematical and Theoretical, 53(33), 2020 (arXiv:2004.05414)  42. Receptor organization determines the limits of singlecell source location detection
SD Lawley, AE Lindsay, CE Miles
Physical Review Letters, 125(1), 2020  41. Asymptotic and numerical analysis of a stochastic PDE model of volume transmission
SD Lawley, V Shankar
Multiscale Modeling and Simulation, 18(2), 2020  40. Spiracular fluttering increases oxygen uptake
SD Lawley, MC Reed, HF Nijhout
PLOS ONE, 15(5), 2020  39. Interaction between switching diffusivities and cellular microstructure
P Murphy, PC Bressloff, SD Lawley
Multiscale Modeling and Simulation, 18(2), 2020  38. Distribution of extreme first passage times of diffusion
SD Lawley
Journal of Mathematical Biology, 80(7), 2020 (arXiv:1910.12170)  37. Effective permeability of a gap junction with agestructured switching
PC Bressloff, SD Lawley, P Murphy
SIAM Journal on Applied Mathematics, 80(1), 2020  36. Universal formula for extreme first passage statistics of diffusion
SD Lawley
Physical Review E, 101(1), 2020  35. A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3
SD Lawley, JB Madrid
Journal of Nonlinear Science, 2020 (arXiv:1907.07515)
2019:
 34. Boundary homogenization for trapping patchy particles
SD Lawley
Physical Review E, 100(3), 2019  33. Diffusive search for diffusing targets with fluctuating diffusivity and gating
SD Lawley, CE Miles
Journal of Nonlinear Science, 29(6), 2019  32. How receptor surface diffusion and cell rotation increase association rates
SD Lawley, CE Miles
SIAM Journal on Applied Mathematics, 79(3), 2019  31. First passage time distribution of multiple impatient particles with reversible binding
SD Lawley, JB Madrid
Journal of Chemical Physics, 150(21), 2019
Promoted by the editors as an "Editor's pick" featured article  30. Electrodiffusive flux through a stochastically gated ion channel
SD Lawley, JP Keener
SIAM Journal on Applied Mathematics, 79(2), 2019  29. Protein concentration gradients and switching diffusions
PC Bressloff, SD Lawley, P Murphy
Physical Review E, 99(3), 2019  28. Role of trap recharge time on the statistics of captured particles
G Handy, SD Lawley, A Borisyuk
Physical Review E, 99(2), 2019
2018:
 27. Blowup from randomly switching between stable boundary conditions for the heat equation
SD Lawley
Communications in Mathematical Sciences, 16(4), 2018  26. Analysis of nonprocessive molecular motor transport using renewal reward theory
CE Miles, SD Lawley, JP Keener
SIAM Journal on Applied Mathematics, 78(5), 2018  25. Diffusion in an agestructured randomly switching environment
PC Bressloff, SD Lawley, P Murphy
Journal of Physics A: Mathematical and Theoretical, 51(31), 2018  24. A probabilistic analysis of volume transmission in the brain
SD Lawley
SIAM Journal on Applied Mathematics, 14(3), 2018  23. Receptor recharge time drastically reduces the number of captured particles
G Handy, SD Lawley, A Borisyuk
PLOS Computational Biology, 14(3), 2018  22. Smooth invariant densities for random switching on the torus
Y Bakhtin, T Hurth, SD Lawley, JC Mattingly
Nonlinearity, 31(4), 2018 (arXiv:1708.01390)
2017:
 21. Diffusive transport in the presence of stochastically gated absorption
PC Bressloff, BR Karamched, SD Lawley, E Levien
Physical Review E, 96(2), 2017  20. Rebinding in biochemical reactions on membranes
SD Lawley, JP Keener
Physical Biology, 14(5), 2017  19. Hybrid colored noise process with spacedependent switching rates
PC Bressloff, SD Lawley
Physical Review E, 96(1), 2017  18. Mean first passage times for piecewise deterministic Markov processes and the effects of critical points
PC Bressloff, SD Lawley
Journal of Statistical Mechanics: Theory and Experiment, 063202, 2017  17. Temporal disorder as a mechanism for spatially heterogeneous diffusion
PC Bressloff, SD Lawley
Physical Review E  Rapid Communication, 95(6), 2017  16. Residence times of a Brownian particle with temporal heterogeneity
PC Bressloff, SD Lawley
Journal of Physics A: Mathematical and Theoretical, 50(19), 2017  15. Dynamically active compartments coupled by a stochasticallygated gap junction
PC Bressloff, SD Lawley
Journal of Nonlinear Science, 27(5), 2017
2016:
 14. Including rebinding reactions in wellmixed models of distributive biochemical reactions
SD Lawley, JP Keener
Biophysical Journal, 111(10), 2016  13. Diffusion on a tree with stochasticallygated nodes
PC Bressloff, SD Lawley
Journal of Physics A: Mathematical and Theoretical, 49(24), 2016
Named to the journal's "Highlights of 2016" collection  12. Boundary value problems for statistics of diffusion in a randomly switching environment: PDE and SDE perspectives
SD Lawley
SIAM Journal on Applied Dynamical Systems, 15(3), 2016  11. Neurotransmitter concentrations in the presence of neural switching in one dimension
SD Lawley, J Best, MC Reed
Discrete and Continuous Dynamical Systems  Series B, 21(7), 2016
2015:
 10. Stochastically gated diffusionlimited reactions for a small target in a bounded domain
PC Bressloff, SD Lawley
Physical Review E, 92(6), 2015  9. Escape from subcellular domains with randomly switching boundaries
PC Bressloff, SD Lawley
Multiscale Modeling and Simulation, 13(4), 2015  8. Coarsegraining intermittent intracellular transport: Two and threedimensional models
SD Lawley, M Tuft, HA Brooks
Physical Review E, 92(4), 2015  7. A new derivation of Robin boundary conditions through homogenization of a stochastically switching boundary
SD Lawley, JP Keener
SIAM Journal on Applied Dynamical Systems, 14(4), 2015  6. Escape from a potential well with a randomly switching boundary
PC Bressloff, SD Lawley
Journal of Physics A: Mathematical and Theoretical, 48(22), 2015  5. Moment equations for a piecewise deterministic PDE
PC Bressloff, SD Lawley
Journal of Physics A: Mathematical and Theoretical, 48(10), 2015
Chosen by editors as "Publisher's pick" featured article  4. Stochastic switching in infinite dimensions with applications to random parabolic PDE
SD Lawley, JC Mattingly, MC Reed
SIAM Journal on Mathematical Analysis, 47(4), 2015
2014:
 3. Sensitivity to switching rates in stochastically switched ODEs
SD Lawley, JC Mattingly, MC Reed
Communications in Mathematical Sciences, 12(7), 2014  2. Mathematical modeling of the effects of glutathione on arsenic methylation
SD Lawley, J Yun, M Gamble, M Hall, MC Reed, HF Nijhout
Theoretical Biology and Medical Modelling, 11(20), 2014
2011:
 1. Mathematical model insights into arsenic detoxification
SD Lawley, M Cinderella, M Hall, M Gamble, H F Nijhout, MC Reed
Theoretical Biology and Medical Modelling, 8(31), 2011