2016-present, Assistant Professor,

University of Utah

2014-2016, Postdoc,

University of Utah

2014, PhD in Mathematics,

Duke University

Here's my CV.

You can reach me at lawley at math.utah.edu.

### Funding and awards

NSF DMS-1944574, 2020-2025: CAREER: How diffusion, dimension, geometry, and redundancy affect cellular dynamics.NSF DMS-1814832, 2018-2021: 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 and preprints

Submitted:
51. Y Bakhtin, T Hurth, SD Lawley, JC Mattingly. Singularities of invariant densities for random switching between two linear ODEs in 2D. Submitted. (arXiv:2009.01299).

50. CE Plunkett, SD Lawley. Bimolecular binding rates for pairs of spherical molecules with small binding sites. Submitted. (arXiv:2002.11703).

49. SD Lawley. Extreme first passage times of piecewise deterministic Markov processes. Submitted. (arXiv:1912.03438).

In press:

48. SD Lawley. Extreme first passage times for random walks on networks. Physical Review E, in press. (arXiv:2008.04496).

47. SD Lawley. Subdiffusion-limited fractional reaction-subdiffusion equations with affine reactions: solution, stochastic paths, and applications. Physical Review E, in press. (arXiv:2008.09949).

46. SD Lawley. The effects of fast inactivation on conditional first passage times of mortal diffusive searchers. SIAM Journal on Applied Mathematics, in press. (arXiv:2003.05515).

2020:

45. SD Lawley. Anomalous reaction-diffusion equations for linear reactions. Physical Review E, 102(3), 2020. (arXiv:2008.11579).

44. SD Lawley. Extreme statistics of anomalous subdiffusion following a fractional Fokker-Planck equation: Subdiffusion is faster than normal diffusion. Journal of Physics A: Mathematical and Theoretical, 53(38), 2020. (arXiv:2004.14994).

43. JB Madrid, SD Lawley. Competition between slow and fast regimes for extreme first passage times of diffusion. Journal of Physics A: Mathematical and Theoretical, 53(33), 2020. (arXiv:2004.05414).

42. SD Lawley, AE Lindsay, CE Miles. Receptor organization determines the limits of single-cell source location detection. Physical Review Letters, 125(1), 2020.

41. SD Lawley, V Shankar. Asymptotic and numerical analysis of a stochastic PDE model of volume transmission. Multiscale Modeling and Simulation, 18(2), 2020. (arXiv:1812.11680).

40. SD Lawley, MC Reed, HF Nijhout. Spiracular fluttering increases oxygen uptake. PLOS ONE, 15(5), 2020.

39. P Murphy, PC Bressloff, SD Lawley. Interaction between switching diffusivities and cellular microstructure. Multiscale Modeling and Simulation, 18(2), 2020.

38. SD Lawley. Distribution of extreme first passage times of diffusion. Journal of Mathematical Biology, 80(7), 2020. (arXiv:1910.12170).

37. PC Bressloff, SD Lawley, P Murphy. Effective permeability of a gap junction with age-structured switching. SIAM Journal on Applied Mathematics, 80(1), 2020.

36. SD Lawley. Universal formula for extreme first passage statistics of diffusion. Physical Review E, 101(1), 2020.

35. SD Lawley, JB Madrid. A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3. Journal of Nonlinear Science, 2020. (arXiv:1907.07515).

2019:

34. SD Lawley. Boundary homogenization for trapping patchy particles. Physical Review E, 100(3), 2019.

33. SD Lawley, CE Miles. Diffusive search for diffusing targets with fluctuating diffusivity and gating. Journal of Nonlinear Science, 29(6), 2019.

32. SD Lawley, CE Miles. How receptor surface diffusion and cell rotation increase association rates. SIAM Journal on Applied Mathematics, 79(3), 2019.

31. SD Lawley, JB Madrid. First passage time distribution of multiple impatient particles with reversible binding. Journal of Chemical Physics, 150(21), 2019. Promoted by the editors as an `Editor's pick' featured article.

30. SD Lawley, JP Keener. Electrodiffusive flux through a stochastically gated ion channel. SIAM Journal on Applied Mathematics, 79(2), 2019.

29. PC Bressloff, SD Lawley, P Murphy. Protein concentration gradients and switching diffusions. Physical Review E, 99(3), 2019.

28. G Handy, SD Lawley, A Borisyuk. Role of trap recharge time on the statistics of captured particles. Physical Review E, 99(2), 2019.

2018:

27. SD Lawley. Blowup from randomly switching between stable boundary conditions for the heat equation. Communications in Mathematical Sciences, 16(4), 2018.

26. CE Miles, SD Lawley, JP Keener. Analysis of non-processive molecular motor transport using renewal reward theory. SIAM Journal on Applied Mathematics, 78(5), 2018.

25. PC Bressloff, SD Lawley, P Murphy. Diffusion in an age-structured randomly switching environment. Journal of Physics A: Mathematical and Theoretical, 51(31), 2018.

24. SD Lawley. A probabilistic analysis of volume transmission in the brain. SIAM Journal on Applied Mathematics, 14(3), 2018.

23. G Handy, SD Lawley, A Borisyuk. Receptor recharge time drastically reduces the number of captured particles. PLOS Computational Biology, 14(3), 2018.

22. Y Bakhtin, T Hurth, SD Lawley, JC Mattingly. Smooth invariant densities for random switching on the torus. Nonlinearity, 31(4), 2018 (arXiv:1708.01390).

2017:

21. PC
Bressloff, BR Karamched, SD Lawley, E Levien. Diffusive transport in
the presence of stochastically gated absorption. Physical Review E, 96(2), 2017.

19. PC Bressloff, SD Lawley. Hybrid colored noise process with space-dependent switching rates. Physical Review E, 96(1), 2017.

18. PC Bressloff, SD Lawley. Mean first passage times for piecewise deterministic Markov processes and the effects of critical points. Journal of Statistical Mechanics: Theory and Experiment, 063202, 2017.

17. PC Bressloff, SD Lawley. Temporal disorder as a mechanism for spatially heterogeneous diffusion. Physical Review E - Rapid Communication, 95(6), 2017.

16. PC Bressloff, SD Lawley. Residence times of a Brownian particle with temporal heterogeneity. Journal of Physics A: Mathematical and Theoretical, 50(19), 2017.

15. PC Bressloff, SD Lawley. Dynamically active compartments coupled by a stochastically-gated gap junction. Journal of Nonlinear Science, 27(5), 2017.

2016:

14. SD Lawley, JP Keener. Including rebinding reactions in well-mixed models of distributive biochemical reactions. Biophysical Journal, 111(10), 2016.

13. PC Bressloff, SD Lawley. Diffusion on a tree with stochastically-gated nodes. Journal of Physics A: Mathematical and Theoretical, 49(24), 2016.

Named to the journal's `Highlights of 2016' collection.

12. SD Lawley. Boundary value problems for statistics of diffusion in a randomly switching environment: PDE and SDE perspectives. SIAM Journal on Applied Dynamical Systems, 15(3), 2016.

11. SD Lawley, J Best, MC Reed. Neurotransmitter concentrations in the presence of neural switching in one dimension. Discrete and Continuous Dynamical Systems - Series B, 21(7), 2016.

2015:

10. PC Bressloff, SD Lawley. Stochastically gated diffusion-limited reactions for a small target in a bounded domain. Physical Review E, 92(6), 2015.

9. PC Bressloff, SD Lawley. Escape from subcellular domains with randomly switching boundaries. Multiscale Modeling and Simulation, 13(4), 2015.

8. SD Lawley, M Tuft, HA Brooks. Coarse-graining intermittent intracellular transport: Two- and three-dimensional models. Physical Review E, 92(4), 2015.

7. SD Lawley, JP Keener. A new derivation of Robin boundary conditions through homogenization of a stochastically switching boundary. SIAM Journal on Applied Dynamical Systems, 14(4), 2015.

6. PC Bressloff, SD Lawley. Escape from a potential well with a randomly switching boundary. Journal of Physics A: Mathematical and Theoretical, 48(22), 2015.

5. PC Bressloff, SD Lawley. Moment equations for a piecewise deterministic PDE. Journal of Physics A: Mathematical and Theoretical, 48(10), 2015.

Chosen by editors as 'Publisher's pick' featured article.

4. SD Lawley, JC Mattingly, MC Reed. Stochastic switching in infinite dimensions with applications to random parabolic PDE. SIAM Journal on Mathematical Analysis, 47(4), 2015.

2014:

3. SD Lawley, JC Mattingly, MC Reed. Sensitivity to switching rates in stochastically switched ODEs. Communications in Mathematical Sciences, 12(7), 2014.

2. SD Lawley, J Yun, M Gamble, M Hall, MC Reed, HF Nijhout. Mathematical modeling of the effects of glutathione on arsenic methylation. Theoretical Biology and Medical Modelling, 11(20), 2014.

2011:

1. SD Lawley, M Cinderella, M Hall, M Gamble, H F Nijhout, MC Reed. Mathematical model insights into arsenic detoxification. Theoretical Biology and Medical Modelling, 8(31), 2011.