Publications
Journal articles and recent preprints.
Preprints and work under review
- An information compass for probabilistic reasoning in the brainJ. Bosulu, V. Balasubramanian, Z. P. Kilpatrick, K. Josić & J. I. Gold · 2026 · under review at eLife
- Social discounting enables fast and reliable collective escapeZ. P. Kilpatrick · 2026 · under review at PNAS
- Resource depletion accelerates rate learning but not composition learning in patch foragingZ. P. Kilpatrick & A. El Hady · 2026 · under review at PLOS Comput. Biol.
Journal publications
68 publications
- 2026
C. Jarne, R. Yoon, T.L. Eissa, Z.P. Kilpatrick, & K. Josić, Task-parametrized dynamics: Representation of time and decisions in recurrent neural networks, J. Comput. Neurosci. (2026) in press. PDF
- 2026
N. Parks & Z.P. Kilpatrick, Stroboscopic motion reversals in delay-coupled ring neural fields, SIAM J Appl. Dyn. Syst. (2026) in press. PDF
- 2026
M. Yerlanov, Z.P. Kilpatrick, & N. Rodriguez, Modularity, asymmetry, and polarization shape consensus speed in the voter model, Phys. Rev. E 114 (2026) 044313. PDF
- 2026
N. Palmer, H.L. Cihak, D. Avitabile, & Z.P. Kilpatrick, Astrocytic resource diffusion stabilizes persistent activity in neural fields, SIAM J Life Sci. 1(3) (2026) 485–508. PDF
- 2026
E.D. Prévost, L.A. Ward, D. Alas, G.A. Aimale, S.K. Ikenberry, K. Fox, M. Deming, J. Pelletier, A. Ly, J. Ball, Z.P. Kilpatrick, K. Price, A.M. Polter, F. Simões de Souza, S. Fulgham, Y.S. Kim, L.E. Fenno, C. Ramakrishnan, K. Deisseroth, & D.H. Root, Distinct properties of glutamate-dopamine, nonglutamate-dopamine, and glutamate-only ventral tegmental area neurons, Sci. Signal. 19 (951) (2026), eaee2028.
- 2026
H. Kim, Z.P. Kilpatrick, & K. Josić, Daring few, patient many: Division of labor in decentralized foraging collectives, PNAS 123 (2026) e2605309123. PDF
- 2026
I. Kalburge, A. Dallstream, K. Josić, Z.P. Kilpatrick, L. Ding, & J.I. Gold, Human decision-makers terminate evidence accumulation using flexible decision rules, eLife 11 (2026) e111082. PDF
- 2026
N.W. Barendregt, J.I. Gold, K. Josić, & Z.P. Kilpatrick, Information-seeking decision strategies mitigate risk in dynamic, uncertain environments, J Roy. Soc. Interface 23 (2026) 20251308. PDF
- 2026
S.B. Shaw, Z.P. Kilpatrick, & D. Avitabile, Radial basis function techniques for neural field models on surfaces, SIAM J Sci. Comp. 48 (2026) pp. A668-A674. PDF
- 2024
H.L. Cihak & Z.P. Kilpatrick, Robustly encoding certainty in a metastable neural circuit model, Phys. Rev. E 110 (2024) 034404. PDF
- 2024
H.L. Cihak & Z.P. Kilpatrick, Multiscale motion and deformation of bumps in stochastic neural fields with dynamic connectivity, Multiscale Model. Simul. 22 (2024) pp. 178-203. PDF
- 2023
T.L. Eissa & Z.P. Kilpatrick, Learning efficient representations of environmental priors in working memory, PLoS Comput. Biol. 19 (2023) e1011622. PDF
- 2023
A. Ly, A. Barker, E.D. Prevost, D.J. McGovern, Z.P. Kilpatrick, & D.H. Root, Bed Nucleus of the Stria Terminalis GABA neurons are necessary for changes in foraging behavior following an innate threat, Eur. J Neurosci. 58 (2023) pp. 3630-3649. PDF
- 2023
M. Stickler, W. Ott, Z.P. Kilpatrick, K. Josić, & B. Karamched, Impact of correlated information on pioneering decisions, Phys. Rev. Research 5 (2023) 033020. PDF
- 2023
N.W. Barendregt, E.G. Webb*, & Z.P. Kilpatrick, Adaptive Bayesian inference of Markov transition rates, Proc. R Soc. A 479 (2023) 20220453. PDF
- 2023
J.I. Gilmer, M.A. Farries, Z.P. Kilpatrick, I. Delis, & A.L. Person, An emergent temporal basis set robustly supports cerebellar time-series learning, J Neurophysiol. 129 (2023) pp. 159-176. PDF
- 2022
N.W. Barendregt, J.I. Gold, K. Josić, & Z.P. Kilpatrick, Normative decision rules in changing environments, eLife 11 (2022) e79824. PDF
- 2022
H.L. Cihak, T.L. Eissa, & Z.P. Kilpatrick, Distinct excitatory and inhibitory bump wandering in a stochastic neural field, SIAM J Appl. Dyn. Syst. 21 (2022) pp. 2579-2609. PDF
- 2022
T.L. Eissa, J.I. Gold, K. Josić, & Z.P. Kilpatrick, Suboptimal human inference inverts the bias-variance trade-off for decisions with asymmetric evidence, PLoS Comput. Biol. 18 (2022) e1010323. PDF
- 2022
S. Bidari, A. El Hady, J.D. Davidson, & Z.P. Kilpatrick, Stochastic dynamics of social patch foraging decisions, Phys. Rev. Research 4 (2022) 033128. PDF
- 2022
K Schapiro, K. Josić, Z.P. Kilpatrick, & J.I. Gold, Strategy-dependent effects of working-memory limitations on human perceptual decision-making, eLife 11 (2022) e73610. PDF
- 2021
S. Bidari & Z.P. Kilpatrick, Hive geometry shapes the recruitment rate of honeybee colonies, J Math. Biol. 83 (2021) 20. PDF
- 2021
Z.P. Kilpatrick, J.D. Davidson, & A. El Hady, Uncertainty drives strategy deviations of patch leaving decisions in foraging, J R Soc. Interface 18 (2021) 20210337. PDF
- 2020
B. Karamched, M. Stickler, W. Ott, B. Lindner, Z.P. Kilpatrick, & K. Josić, Heterogeneity improves speed and accuracy in social networks, Phys. Rev. Lett. 125 (2020) 218302. [Highlight] and [Editors’ Suggestion] PDF
- 2020
B. Karamched, S. Stolarczyk, Z.P. Kilpatrick, & K. Josić, Bayesian evidence accumulation on social networks, SIAM J Appl. Dyn. Syst. 19 (2020) pp. 1884-1919. PDF
- 2020
Y. Wang, Z.P. Kilpatrick, & K. Josić, A hierarchical model of perceptual multistability involving interocular grouping, J Comput. Neurosci. 48 (2020) pp. 177-192. PDF
- 2019
S. Bidari, O. Peleg, & Z.P. Kilpatrick, Social inhibition maintains adaptivity and consensus of foraging honey bees in dynamic environments, R. Soc. Open Sci. 6 (2019) 191681. PDF
- 2019
N.W. Barendregt, K. Josić, & Z.P. Kilpatrick, Analyzing dynamic decision-making models using Chapman-Kolmogorov equations, J Comput. Neurosci. 47 (2019) pp. 205-222. PDF
- 2019
A.E. Radillo, A. Veliz-Cuba, K. Josić, & Z.P. Kilpatrick, Performance of normative and approximate evidence accumulation on the dynamic clicks task, Neurons, Behavior, Data Analysis, & Theory (2019) 10226. PDF
- 2019
Z.P. Kilpatrick, W.R. Holmes, T.L. Eissa, & K. Josić, Optimal models of decision-making in dynamic environments, Curr. Opin. Neurobiol. 58 (2019) pp. 54-60. PDF
- 2019
K.P. Nguyen, K. Josić, & Z.P. Kilpatrick, Optimizing sequential decisions in the drift-diffusion model, J Math. Psychol. 88 (2019) pp. 32-47. PDF
- 2018
N. Krishnan* & Z.P. Kilpatrick, Optimizing a jump-diffusion model of a starving forager, Phys. Rev. E 98 (2018) 052406. PDF
- 2018
G. Faye & Z.P. Kilpatrick, Threshold of front propagation in neural fields: An interface dynamics approach, SIAM J Appl. Math. 78 (2018), pp. 2575-2596. PDF
- 2018
Z.P. Kilpatrick, Synaptic mechanisms of interference in working memory, Sci. Rep. 8 (2018) 7879. PDF
- 2018
N. Krishnan*, D.B. Poll, & Z.P. Kilpatrick, Synaptic efficacy shapes resource limitations in working memory, J. Comput. Neurosci. 44 (2018), pp. 273-295. PDF
- 2017
Z.P. Kilpatrick & D.B. Poll, Neural field model of memory-guided search, Phys. Rev. E 96 (2017), 062411. PDF
- 2017
D.B. Poll & Z.P. Kilpatrick, Velocity integration in a multilayer neural field model of spatial working memory, SIAM J Appl. Dyn. Syst. 16 (2017), pp. 1197-1234. PDF
- 2017
A.E. Radillo, A. Veliz-Cuba, K. Josić, & Z.P. Kilpatrick, Evidence accumulation and change rate inference in dynamic environments, Neural Comput. 29 (2017), pp. 1561-1610. PDF
- 2017
A. Jacot-Guillarmod, Y. Wang, C. Pedroza, H. ̈O ̆ gmen, Z.P. Kilpatrick, & K. Josić, Extending Levelt’s Propositions to perceptual multistability involving interocular grouping, Vision Res. 133 (2017), pp. 37-46. PDF
- 2016
Z.P. Kilpatrick, Ghosts of bump attractors in stochastic neural fields: Bottlenecks and extinction, Discrete Contin. Dynam. Syst. Ser. B 21 (2016), pp. 2211-2231. PDF
- 2016
Z.T. McCleney* & Z.P. Kilpatrick, Entrainment in up and down states of neural populations: non-smooth and stochastic models, J. Math. Biol. 73 (2016), pp. 1131-1160. PDF
- 2016
D.B. Poll & Z.P. Kilpatrick, Persistent search in confined domains: a velocity-jump process model, J. Stat. Mech. (2016), 053201.
- 2016
D.B. Poll, K. Nguyen*, & Z.P. Kilpatrick, Sensory feedback in a bump attractor model of path integration, J. Comput. Neurosci. 40 (2016), pp. 137-155. PDF
- 2016
A. Veliz-Cuba, Z.P. Kilpatrick, & K. Josić, Stochastic models of evidence accumulation in changing environments, SIAM Rev. 58 (2016), pp. 264-289. PDF
- 2015
A. Veliz-Cuba, H.Z. Shouval, K. Josić, & Z.P. Kilpatrick, Networks that learn the precise timing of event sequences, J Comput. Neurosci. 39 (2015), pp. 235-254. PDF
- 2015
D.B. Poll & Z.P. Kilpatrick, Stochastic motion of bumps in planar neural fields, SIAM J Appl. Math. 75 (2015) pp. 1553-1577. PDF
- 2015
Z.P. Kilpatrick, Stochastic synchronization of neural activity waves, Phys. Rev. E 91 (2015), 040701(R). PDF
- 2015
P.C. Bressloff & Z.P. Kilpatrick, Nonlinear Langevin equations for wandering patterns in stochastic neural fields, SIAM J Appl. Dyn. Syst. 14 (2015), pp. 305-334. PDF
- 2015
Z.P. Kilpatrick, Delay stabilizes stochastic motion of bumps in layered neural fields, Physica D 295 (2015), pp. 30-45. PDF
- 2014
Z.P. Kilpatrick & G. Faye, Pulse bifurcations in stochastic neural fields, SIAM J Appl. Dyn. Syst. 13 (2014), pp. 830-860. PDF
- 2014
J.K. Kim, Z.P. Kilpatrick, M.R. Bennett, & K. Josić, Molecular mechanisms that regulate the coupled period of the mammalian circadian clock, Biophys. J 106 (2014), pp. 2071-2081. PDF
- 2014
Z.P. Kilpatrick, Coupling layers regularizes wave propagation in stochastic neural fields, Phys. Rev. E 89 (2014), 022706. PDF
- 2014
S. Carroll*, K. Josić, & Z.P. Kilpatrick, Encoding certainty in bump attractors, J Comput. Neurosci. 37 (2014), pp. 29-48.
- 2013
Z.P. Kilpatrick, B. Ermentrout, & B. Doiron, Optimizing working memory with heterogeneity of recurrent cortical excitation, J Neurosci. 33 (2013), pp. 18999-19011. PDF
- 2013
Z.P. Kilpatrick, Interareal coupling reduces encoding variability in multi-area models of spatial working memory, Front. Comput. Neurosci. 7 (2013), 82. PDF
- 2013
Z.P. Kilpatrick & B. Ermentrout, Wandering bumps in stochastic neural fields, SIAM J Appl. Dyn. Syst. 12 (2013), pp. 61-94. PDF
- 2013
Z.P. Kilpatrick, Short term synaptic depression improves information transfer in perceptual multistability, Front. Comput. Neurosci. 7 (2013), 85. PDF
- 2012
S.M. Jayasuriya* & Z.P. Kilpatrick, Effects of time-dependent stimuli on a competitive neural network model of perceptual rivalry, Bull. Math. Biol. 6 (2012), pp. 1396-1426. PDF
- 2012
Z.P. Kilpatrick & B. Ermentrout, Response of traveling waves to transient inputs in neural fields, Phys. Rev. E 85 (2012), 021910. PDF
- 2012
Z.P. Kilpatrick & G.B. Ermentrout, Hallucinogen persisting perception disorder in neuronal networks with adaptation, J Comput. Neurosci. 32 (2012), pp. 25-53. PDF
- 2011
Z.P. Kilpatrick & G.B. Ermentrout, Sparse gamma rhythms arising through clustering in adapting neuronal networks, PLoS Comput. Biol. 7 (2011), e1002281. PDF
- 2011
P.C. Bressloff & Z.P. Kilpatrick, Two–dimensional bumps in piecewise smooth neural fields with synaptic depression, SIAM J Appl. Math. 71 (2011), pp. 379-408. PDF
- 2010
Z.P. Kilpatrick & P.C. Bressloff, Binocular rivalry in a competitive neural network model with synaptic depression, SIAM J Appl. Dyn. Syst. 9 (2010), pp. 1303-1347. PDF
- 2010
Z.P. Kilpatrick & P.C. Bressloff, Stability of bumps in piecewise smooth neural networks with nonlinear adaptation, Physica D 239 (2010), pp. 1048-1060.
- 2010
Z.P. Kilpatrick & P.C. Bressloff, Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression, J Comput. Neurosci. 28 (2010), pp. 193-209. PDF
- 2010
Z.P. Kilpatrick & P.C. Bressloff, Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network, Physica D 239 (2010), pp. 547-560. PDF
- 2008
P.C. Bressloff & Z.P. Kilpatrick, Nonlocal Ginzburg-Landau equation for cortical pattern formation, Phys. Rev. E 78 (2008), 041916. PDF
- 2008
Z.P. Kilpatrick, S.E. Folias, & P.C. Bressloff, Traveling pulses and wave propagation failure in inhomogeneous neural media, SIAM J Appl. Dyn. Syst. 7 (2008), pp. 161-185. PDF
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Perspectives and editorials
- Modeling social systems: transparency, reproducibility, and responsibilityMaximino Aldana, Heather Zinn Brooks, Phil Chodrow, Filipe Georgiou, Joseph Johnson, Krešimir Josić, Zachary P. Kilpatrick, Kath Landgren, Andrew Nugent, Maurizio Porfiri, Nancy Rodriguez, Pablo Suárez-Serrato, Roni Barak Ventura, David White, Alexander Wiedemann & Sam Zhang · SIAM News 59(2), March 2026 · Full version (arXiv)