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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.


Publications/Preprints

Submitted:
27. CE Miles, SD Lawley, JP Keener. Analysis of non-processive molecular motor transport using renewal reward theory. Submitted (arXiv:1711.04852).

26. G Handy, SD Lawley, A Borisyuk. Receptor recharge time drastically reduces the number of captured particles. Submitted.

25. SD Lawley. A sufficient condition for stability of stochastic hybrid systems. Submitted.

24. SD Lawley. Blowup from randomly switching between stable boundary conditions for the heat equation. Submitted.

In press:
23. Y Bakhtin, T Hurth, SD Lawley, JC Mattingly. Smooth invariant densities for random switching on the torus. Nonlinearity, in press (arXiv:1708.01390).

22. SD Lawley. A probabilistic analysis of volume transmission in the brain. SIAM Journal on Applied Mathematics, in press.

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.

20. SD Lawley, JP Keener. Rebinding in biochemical reactions on membranes. Physical Biology, 14(5), 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, 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. SIAM 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 methylation. Theoretical Biology and Medical Modelling, 8(31), 2011.