Abdalla, A., West, A., Jin Y., Saylor, R., Qiang, B., Peña, E., Linden, D.J., Nijhout, H. F., Reed, M. C., Best,          J., Hashemi, P. Fast Serotonin Voltammetry as a Versatile Tool for Mapping Dynamic Tissue      Architecture: I. Responses at Carbon Fibers Describe Local Tissue Physiology. To appear  in   Journal of Neurochemistry.

Rachel A. Saylor, Melinda Hersey, Alyssa West, Anna Marie Buchanan, Shane N. Berger, H. Frederik Nijhout, Michael C. Reed, Janet Best, and Parastoo Hashemi. In vivo Hippocampal Serotonin Dynamics in Male and Female Mice: Determining Effects of Acute Escitalopram Using Fast Scan Cyclic Voltammetry. Frontiers in Neuroscience, 23 April 2019,

A. West, J. Best, A. Abdalla, H. F. Nijhout, M. Reed, P. Hashemi. Voltammetric evidence for discrete serotonin circuits, linked to specific reuptake domains, in the mouse medial prefrontal cortex. Neurochem Inter. 123:50-58, 2019.

F. Nijhout, J. Best, M. Reed. Systems biology of robustness and homeostatic mechanisms. WIREs Syst. Biol. Med. E1440, 2018

Duncan, J. Best, M. Golubitsky, H. F. Nijhout, M. Reed. Homeostasis despite instability. Mathematical Biosciences, 300:130-137, 2018.

J. Best, H. F. Nijhout, S. Samaranayake, P. Hashemi, and M. Reed. A mathematical model for histamine synthesis, release, and control in varicosities. Theoretical Biology and Medical Modelling, 14:24, 2017.

J. Best, H. F. Nijhout, M. Reed. Mathematical models of neuromodulation and implications for neurology and psychiatry. To appear in Computational Neurology and Psychiatry, edited by Peter Erdi, Basabdatta Bhattacharya and Amy Cochran. Series: Bio/Neuroinformatics (ed.: Nikola Kasabov). Springer.

M. Schmidt, T. Swang, I. Hamilton, J. Best. State-dependent metabolic partitioning and energy conservation: A theoretical framework for understanding the function of sleep. PLOS One 12(10): e0185746, 2017.

A voltammetric and mathematical analysis of histaminergic modulation of serotonin in the mouse hypothalamus. S. Samaranayake, A. Abdalla, R. Robke, H. F. Nijhout, M.  Reed, J. Best, and P. Hashemi.  J Neurochem 38(3):374-383; 2016.

S. Lawley, J. Best, M. Reed. Neurotransmitter concentrations in the presence of neural switching in one dimension.  Discrete and Continuous Dynamical Systems – B 21(7):2255-2273, 2016.

H. F. Nijhout, J. Best, M. Reed. Using Mathematical Models to Understand Metabolism, Genes, and Disease. BMC Biology 13:79; 2015.

Banuelos S, Best J, Huguet G, Prieto-Langarica A, Pyzza P, Schmidt M, Wilson S. Effects of thermoregulation on human sleep patterns: a mathematical model of sleep/wake cycles with REM/NREM subcircuit. In Applications of Dynamical Systems in Biology and Medicine, IMA, 2015.

H. F. Nijhout, J. Best, M. Reed. Escape from homeostasis. Mathematical Biosciences 257:104-110, 2014.

Wood, K. M., Zeqja, A., Nijhout, F., Reed. M., Best. J., Hashemi, P. Voltammetric and Mathematical Evidence for Dual-uptake mediation of Serotonin Clearance in Vivo. Journal of Neurochemistry 130(3):351-359, 2014.

M. Reed, H. F. Nijhout, J. Best. Projecting biochemistry over long distances. Mathematical Modeling of Natural Phenomena 9:133-138, 2014.

J. Best, H. F. Nijhout, M. Reed. Computational studies of the role of serotonin in the basal ganglia. Frontiers in Integrative Neuroscience 7(41), 2013. DOI 10.3389/fnint.2013.00041.

L. Campbell, J. Best, R. Khayat, M. Splaingard. Issues applying a math model to estimate CPAP response in Cheynes-Stokes respiration. Am J Respir Crit Care Med; 187(5):553, 2013.

A. Borisyuk, J. Best, D. Terman. Frequency separation by an excitatory-inhibitory network.  Journal of Computational Neuroscience; 34:231-243, 2013.

V. Gay, P. Hemond, D. Schmidt, M. O’Boyle, Z. Hemond, J. Best, L. O’Farrell, K. Suter. Hormone secretion in transgenic rats and electrophysiological activity in their gonadotropin releasing-hormone (GnRH) neurons. American Journal of Physiology: Endocrinology and Metabolism 303(2):E243-E252; 2012.

M. Reed, H.F. Nijhout, J. Best. Mathematical insights into the effects of levodopa. Frontiers in Integrative Neuroscience 6(21):1-24, 2012.

J. Best, G. Oakley, M. Reed, H.F. Nijhout. Mathematical Models: Interactions between serotonin and dopamine in Parkinson’s Disease. In Etiology and Pathophysiology of Parkinson’s Disease; pp405-420. InTech, 2011.

J. Best, H. F. Nijhout, M. C. Reed. Bursts and the efficacy of selective serotonin reuptake inhibitors. Pharmacopsychiatry 44 (Suppl 1):S76-S83, 2011.

D. Schmidt, J. Best, M. Blumberg. Random Structure and Stochastic Process Contributions to Network Dynamics. Discrete and Continuous Dynamical Systems, Suppl 2011: 1279-1288, 2011.

J. Best, H.F. Nijhout, M. Reed. Serotonin Synthesis, Release and Reuptake in Terminals: A Mathematical Model Theoretical Biology and Medical Modelling 7:34, 2010.

J. Best, M. Reed, H.F. Nijhout. Models of Dopaminergic and Serotonergic Signaling. Pharmacopsychiatry 43 (Suppl 1): 561-566, 2010.

J. Best. “Doubly Stochastic Processes: an Approach for Understanding Central Nervous System Activity,” in Selected Topics on Applied Mathematics, Circuits, Systems, and Signals; WSEAS Press. pp155-158, 2009.

Reed MC, Best JA, Nijhout HF. Passive and active stabilization of dopamine in the striatum. Bioscience Hypotheses 2009, 2:240-244.

Gall AJ, Joshi B, Best J, Blumberg MS. Developmental emergence of power-law wake behavior depends upon the functional integrity of the locus coeruleus. Sleep 32:920-926, 2009.

Best JA, Reed MC, Nijhout HF. Homeostatic mechanisms in dopamine synthesis and release.

Theoretical Biology and Medical Modelling, vol 6, no 21, 2009.

M. Rempe, J.A. Best, D. Terman. A neurobiological model of the human sleep/wake cycle.  Journal of Mathematical Biology 60(5):615-644, 2010.

J. A. Best, C. Park, C. J. Wilson, D. H. Terman. Transitions between irregular and rhythmic firing patterns in an excitatory-inhibitory neuronal network;  Journal of Computational Neuroscience, 23(2007):217-235.

J. A. Best, C. Diniz Behn, G. R. Poe, V. Booth . 2007. Neuronal models for sleep-wake regulation and synaptic reorganization in the sleeping hippocampus. Journal of Biological Rhythms, 22(3), 220-232.

C. B. Roberts, J. A. Best, and K. J. Suter. Dendritic processing of synaptic input in hypothalamic gonadotropin-releasing hormone (GnRH) neurons; Endocrinology 147(3), 2006, 1545-1555.

J. Best, A. Borisyuk, J. Rubin, D. Terman, M. Wechselberger. The dynamic range of bursting in a model respiratory pacemaker network. SIAM Journal on Applied Dynamical Systems 4(4), 2005, 1107-1139.

J. A. Best and D. Terman. Geometric analysis of bursting networks, in Bursting: The Genesis of Rhythm in the Nervous System, edited by Stephen Coombes. World Scientific, 2005, pp351-386.

J. A. Best, C. Castillo-Chavez, A. A. Yakubu. Hierarchical competition in discrete time models with dispersal. Fields Institute Communications 36, 2003, 59-86.