Nathaniel Karst

Journal Articles

• Karst, N.J., Geddes, J.B. (2023). Modeling Transit Time Distributions in Microvascular Networks. Journal of Theoretical Biology. Elsevier. link
• Firth, W., Geddes, J., Karst, N.J., Oppo, G. (2021). Analytic instability thresholds in folded Kerr resonators of arbitrary finesse. Physical Review A. Vol: 103, Issue: 2. link
• Dralle, D., Rempe, D., Hahm, W.J., Karst, N.J., Anderegg, L., Thompson, S., Dawson, T., Dietrich, W. (2020). Plants as sensors: vegetation response to rainfall predicts subsurface water storage capacity in Mediterranean climates. Environmental Research Letters. Vol: 15, Issue: 10. link
• Karst, N.J., Shen, X., Troxell, D.S., Vu, M. (2020). Blocking zero forcing processes in Cartesian products of graphs. Discrete Applied Mathematics. Vol: 285, Page: 380-398. Elsevier. link
• Beaudouin-Lafon, M., Chen, S., Crawford, M., Karst, N.J., Nielsen, L., Troxell, D.S. (2020). On the zero blocking number of rectangular, cylindrical, and Möbius grids. Discrete Applied Mathematics. Vol: 282, Page: 35-47. Elsevier. link
• Karst, N.J., Dralle, D., Muller, M. (2019). On the effect of non-linear recessions on low flow variability: Diagnostic of an analytical model for annual flow duration curves. Water Resources Research. Vol: 55, Issue: 7, Page: 6125-6137. link
• Beaudouin-Lafon, M., Chen, S., Karst, N.J., Troxell, D.S., Zheng, X. (2019). Pairwise compatibility graphs: complete characterization for wheels. Involve: a journal of mathematics. Vol: 12, Issue: 5, Page: 871-882. link
• Karst, N.J., Slegers, R.M. (2019). Cryptography in Context: Co-Teaching Philosophy and Mathematics. PRIMUS. link
• Dralle, D., Hahm, J., Rempe, D., Karst, N.J., Thompson, S., Dietrich, W. (2018). Quantification of the seasonal hillslope water storage that does not drive streamflow. Hydrological Processes. Vol: 32, Issue: 13, Page: 1978-1992. link
• Beaudouin-Lafon, M., Chen, S., Karst, N.J., Troxell, D.S. (2018). Labeling crossed prisms with a condition at distance two. Involve: a journal of mathematics. Vol: 11, Issue: 1, Page: 67–80. link
• Khachatryan, D., Karst, N.J. (2017). V for Voice: Strategies for Bolstering Communication Skills in Statistics. Journal of Statistics Education. link
• Dralle, D., Karst, N.J., Muller, M., Vico, G., Thompson, S. (2017). Stochastic modeling of interannual variation of hydrologic variables. Geophysical Research Letters. Vol: 44, Issue: 14, Page: 7285-7294. link
• Karst, N.J., Langowitz, J., Oehrlein, J., Troxell, D.S. (2017). Radio k-Chromatic Number of Cycles for Large k. Discrete Mathematics, Algorithms and Applications. Vol: 09, Issue: 03. link
• Karst, N.J., Geddes, J., Carr, R. (2017). Model Microvascular Networks Can Have Many Equilibria. Bulletin of Mathematical Biology. Vol: 79, Issue: 3, Page: 662–681. Springer. link
• Dralle, D., Karst, N.J., Charalampous, K., Thompson, S., , . (2017). Event-scale power law recession analysis: Quantifying methodological uncertainty. Hydrology and Earth System Sciences. link
• Karst, N.J., Dralle, D., Thompson, S. (2016). Spiral and rotor patterns produced by fairy ring fungi. PLoS ONE. Vol: 11, Issue: 3. Public Library of Science. link
• Dralle, D., Karst, N.J., Thompson, S. (2016). Dry season streamflow persistence in seasonal climates. Water Resources Research. Vol: 52, Issue: 1, Page: 90–107. Wiley-Blackwell Publishing, Inc.. link
• Dralle, D., Karst, N.J., Thompson, S. (2015). a, b careful: The challenge of scale invariance for comparative analyses in power law models of the streamflow recession. Geophysical Research Letters. Vol: 42, Issue: 21, Page: 9285-9293. Wiley-Blackwell Publishing, Inc.. link
• Karst, N.J., Geddes, J., Storey, B. (2015). Oscillations and Multiple Equilibria in Microvascular Blood Flow. Bulletin of Mathematical Biology. Vol: 77, Issue: 7, Page: 1377-1400. Springer New York LLC. link
• Karst, N.J., Oehrlein, J., Troxell, D.S., Zhu, J. (2015). L(d,1)-labeling of the edge-path-replacement by factorization of graphs. Journal of Combinatorial Optimization. Vol: 30, Issue: 1, Page: 34-41. link
• Karst, N.J., Oehrlein, J., Troxell, D.S., Zhu, J. (2015). On distance labelings of amalgamations and injective labelings of general graphs. Involve: a journal of mathematics. Vol: 8, Issue: 3, Page: 535–540. Mathematical Sciences Publishers. link
• Storey, B., Hellen, D., Karst, N.J., Geddes, J. (2015). Observations of spontaneous oscillations in simple two-fluid networks. Physical Review E: covering statistical, nonlinear, biological, and soft matter physics. Vol: 91, Issue: 2, Page: 5. American Physical Society. link
• Karst, N.J., Oeherlein, J., Troxell, D.S., Zhu, J. (2015). The minimum span of L(2, 1)-labelings of generalized flowers. Discrete Applied Mathematics. Vol: 181, Page: 139–151. Elsevier. link
• Karst, N.J., Oehrlein, J., Troxell, D.S., Zhu, J. (2014). Labeling amalgamations of Cartesian products of complete graphs with a condition at distance two. Discrete Applied Mathematics. Vol: 178, Issue: 11, Page: 101-108. Elsevier BV North-Holland. link
• Karst, N.J., Storey, B.D., Geddes, J.B. (2014). Spontaneous Oscillations in Simple Fluid Networks. SIAM Journal on Applied Dynamical Systems. Vol: 13, Issue: 1, Page: 157-180. Society for Industrial and Applied Mathematics. link
• Montovana , K.J., Karst, N.J., Jones, L.E., Seeley, T.D. (2013). Local behavioral rules sustain the cell allocation pattern in the combs of honey bee colonies (Apis mellifera). Journal of Theoretical Biology. Vol: 336, Issue: 7, Page: 75-86. Academic Press. link
• Adams, S.S., Howell, N., Karst, N.J., Troxell, D.S., Zhu , J. (2013). On the L(2,1)-labelings of amalgamations of graphs. Discrete Applied Mathematics. Vol: 161, Issue: 7-8, Page: 881-888. Elsevier BV, North-Holland. link
• Karst, N.J., Wicker, S. (2012). On the Rekeying load in group key distribution systems using cove-free families. IEEE Transactions on Information Theory. Vol: 52, Issue: 10, Page: 6667-6671. Institute of Electrical and Electronics Engineers. link
• Adams, S., Davis, J., Karst, N.J., Murugan, M., Lee, B., Crawford, M., Greeley, C. (2011). Novel classes of minimal delay and low PAPR rate-1/2 complex orthogonal designs. IEEE Transactions on Information Theory. Vol: 57, Page: 2254-2262. IEEE Information Theory Society. link
• Adams, S., Karst, N.J., Murugan, M., Wysocki, T. (2011). On transceiver signal linearization and the decoding delay of maximum rate complex orthogonal space-time block codes. IEEE Transactions on Information Theory. Vol: 57, Issue: 6, Page: 3618-3621. Institute of Electrical and Electronics Engineers. link
• Adams, S., Karst, N.J., Murugan, M. (2010). The final case of the decoding delay problem for maximum rate complex orthogonal designs. IEEE Transactions on Information Theory. Vol: 56, Page: 103-113. IEEE Information Theory Society. link
• Karst, N.J. (2008). Quaternion orthagonal designs from complex companion designs . Linear Algebra and Its Applications. Vol: 428, Issue: 4, Page: 1056–1071. Elsevier. link
• Adams, S., Karst, N.J., Pollack, J. (2007). The minimum decoding delay of maximum rate complex orthogonal designs. IEEE Transactions on Information Theory. link
• Geddes, J., Carr, R., Karst, N.J., Wu, F. (2007). The onset of oscillations in microvascular blood flow. SIAM Journal on Applied Dynamical Systems. Vol: 6, Issue: 4, Page: 694–727. SIAM. link

Book Chapters

• Karst, N.J., Slegers, R.M. (2015). I am not a statistic (even if everyone else is): a cross-disciplinary activity: Evolving Entrepreneurial Education: Innovation in the Babson Classroom .
• Karst, N.J., Wicker, S.B. (2012). Secure Key Distribution and Revocation for Advanced Metering Infrastructure: Distributed Sensor Networks, Second Edition: Image and Sensor Signal Processing. Issue: 2nd, Page: 335-350. CRC Press.