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Professor Mathematics Department University of Utah |
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| lawley at math.utah.edu | Curriculum Vitae |
Bio
- 2026-present: Professor, University of Utah
- 2021-2026: Associate Professor, University of Utah
- 2016-2021: Assistant Professor, University of Utah
- 2014-2016: Postdoc, University of Utah
- 2014: PhD in Mathematics, Duke University
Funding and awards
- NSF DMS-2602237, 2026-2029: Stochastic modeling of medication adherence
- NIH 1OT2OD042813, 2026-2029: Data-driven computational approaches for hormone-regulated vaginal tissue remodeling across the lifespan
- Presidential Scholar, University of Utah, 2024-2027
- NSF DMS-2325258, 2023-2027: eMB: Collaborative Research: Stochasticity in ovarian aging and biotechnologies for menopause delay
- NSF DMS-1944574, 2020-2025: CAREER: How diffusion, dimension, geometry, and redundancy affect cellular dynamics
- NSF DMS-1814832, 2018-2023: Diffusion in stochastic environments: analysis and biological applications
- SIAM Life Sciences Early Career Prize, 2018
- NSF DMS RTG-1148230, Co-PI 2016-2020: Research training in mathematical and computational biology
Publications
Submitted:
- 105. The laissez-faire ovary
SD Lawley, J Johnson
Submitted - 104. Search at bounded speed with immigration
HR Tung, SD Lawley
Submitted (arXiv:2605.30629)
2026:
- 103. Single-cell directional sensing at ultra-low chemoattractant concentrations from extreme first-passage events
V Fiorino, SD Lawley, AE Lindsay
Journal of Mathematical Biology, 93(61), 2026 (arXiv:2603.10207) - 102. Escape from heterogeneous diffusion
HR Tung, SD Lawley
Physical Review Letters, 137(18), 2026 (arXiv:2512.19646) - 101. Yet another look at narrow escape through a tube
V Richardson, YH Ling, SD Lawley
SIAM Journal on Applied Mathematics, 86(4), 2026 (arXiv:2602.21396) - 100. Stochastic search with space-dependent diffusivity
HR Tung, SD Lawley
Physical Review E, 113(6), 2026 (arXiv:2601.08740) - 99. Universality and ambiguity in extremes of anomalous diffusion
SD Lawley
Physical Review E, 113(6), 2026 (arXiv:2604.10004) - 98. Channel transport: gating, geometry, and heterogeneous diffusion
SD Lawley
Bulletin of Mathematical Biology, 88(100), 2026 (arXiv:2603.13918) - 97. Diffusive search for buried targets
SD Lawley
Physical Chemistry Chemical Physics, 2026 - 96. Diffusive flux into a stochastically gated tube
SD Lawley
Journal of Chemical Physics, 164(18), 2026 (arXiv:2603.09841) - 95. Mitigating antibiotic resistance from missed doses
JA Gilsoul, HR Tung, SD Lawley
Journal of Pharmacokinetics and Pharmacodynamics, 53(21), 2026 - 94. Escape from a channel
SD Lawley
Journal of Chemical Physics, 164(6), 2026
2025:
- 93. Passage times of fast inhomogeneous immigration processes
HR Tung, SD Lawley
Chaos: An Interdisciplinary Journal of Nonlinear Science, 35(12), 2025 (arXiv:2508.14202)
Promoted as an "Editor's Pick" featured article. - 92. Mathematical modeling of medication nonadherence
SD Lawley, T Gibson, J Zheng
Frontiers in Pharmacology, 16, 2025 - 91. Quantifying the transition from single file to Fickian diffusion
V Richardson, SD Lawley
Journal of Chemical Physics, 163(19), 2025 - 90. First passage times with fast immigration
HR Tung, SD Lawley
SIAM Journal on Applied Mathematics, 85(5), 2025 (arXiv:2502.10915) - 89. Geometry controls diffusive target encounters and escape in tubular structures
JL Kim, SD Lawley, AI Brown
Physical Review E, 112(2), 2025 - 88. On modeling ovarian aging and menopause timing
SD Lawley, N Santoro, J Johnson
Bulletin of Mathematical Biology, 87(104), 2025 - 87. Prolonging youth or prolonging perimenopause? Beware the monkey's paw
N Santoro, SD Lawley, MD Sammel, J Johnson
Menopause, 32(10), 2025 - 86. Less frequent dosing of GLP-1 receptor agonists as a viable weight maintenance strategy
CC Wu, A Cengiz, SD Lawley
Obesity, 33(7), 2025 - 85. Incretin mimetics for weight loss forgive nonadherence
A Cengiz, CC Wu, SD Lawley
Diabetes, Obesity and Metabolism, 27(8), 2025 - 84. Modeling the extension of ovarian function after therapeutic targeting of the primordial follicle reserve
J Johnson, JW Emerson, A Smith, K Medina, EE Telfer, RA Anderson, SD Lawley
Human Reproduction Update, 31(5), 2025 - 83. Reaction kinetics of membrane receptors: a spatial modeling approach
A Cengiz, SD Lawley
Journal of Mathematical Biology, 90(57), 2025 (arXiv:2501.13837) - 82. Cover times with stochastic resetting
S Linn, SD Lawley
Chaos: An Interdisciplinary Journal of Nonlinear Science, 35(4), 2025 (arXiv:2406.12154) - 81. How missed doses of antibiotics affect bacteria growth dynamics
HR Tung, SD Lawley
Bulletin of Mathematical Biology, 87(58), 2025 - 80. Alternative dosing regimens of GLP-1 receptor agonists may reduce costs and maintain weight loss efficacy
A Cengiz, CC Wu, SD Lawley
Diabetes, Obesity and Metabolism, 27(4), 2025
2024:
- 79. Competition of many searchers
SD Lawley
Invited chapter in Target Search Problems, editors: DS Grebenkov, R Metzler, G Oshanin (arXiv:2310.02157) - 78. A reaction network model of microscale liquid-liquid phase separation reveals effects of spatial dimension
J Kim, SD Lawley, J Kim
Journal of Chemical Physics, 161(20), 2024 - 77. Narrow escape with imperfect reactions
A Cengiz, SD Lawley
Physical Review E, 110(5), 2024
Promoted as an "Editor's Suggestion" featured article - 76. Fast decisions reflect biases; slow decisions do not
S Linn, SD Lawley, BR Karamched, ZP Kilpatrick, K Josic
Physical Review E, 110(2), 2024 (arXiv:2401.00306)
Press coverage in New Scientist - 75. Hitting probabilities for fast stochastic search
S Linn, SD Lawley
Journal of Physics A: Mathematical and Theoretical, 57(30), 2024 (arXiv:2404.01142) - 74. Boundary homogenization for partially reactive patches
CE Plunkett, SD Lawley
Multiscale Modeling and Simulation, 22(2), 2024 (arXiv:2405.11310) - 73. First hitting time of a one-dimensional Levy flight to small targets
D Gomez, SD Lawley
SIAM Journal on Applied Mathematics, 84(3), 2024 (arXiv:2307.06274) - 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. Reaction-subdiffusion equations with species-dependent 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 Berg-Purcell 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 as an "Editor's Suggestion" featured article - 46. Subdiffusion-limited fractional reaction-subdiffusion equations with affine reactions: solution, stochastic paths, and applications
SD Lawley
Physical Review E, 102(4), 2020 - 45. Anomalous reaction-diffusion equations for linear reactions
SD Lawley
Physical Review E, 102(3), 2020 - 44. Extreme statistics of anomalous subdiffusion following a fractional Fokker-Planck 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 single-cell 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 age-structured 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 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 non-processive 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 age-structured 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 space-dependent 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 stochastically-gated gap junction
PC Bressloff, SD Lawley
Journal of Nonlinear Science, 27(5), 2017
2016:
- 14. Including rebinding reactions in well-mixed models of distributive biochemical reactions
SD Lawley, JP Keener
Biophysical Journal, 111(10), 2016 - 13. Diffusion on a tree with stochastically-gated 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 diffusion-limited 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. Coarse-graining intermittent intracellular transport: Two- and three-dimensional 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