My research focuses on differential-equation based modeling to help understand and predict mechanisms of gene regulation underlying circadian rhythmicity, synaptic strengthening, and memory formation.
Day-night, or circadian, sleep and behavior rhythms seem to be driven by similar genetic oscillators in humans as in animals, insects, and even plants. Modeling suggests these oscillators all rely on a similar core negative feedback mechanism. However, input and output from the core and its modulation by other feedback loops differ greatly between humans and other organisms. Understanding these similarities and differences might help improve treatments for human sleep disorders.
Long-term strengthening of specific patterns of synaptic connections appears to be an essential component of the mechanism underlying memory storage in humans and other organisms. Furthermore, to maintain cell damage, a slow homeostatic mechanism must sense average neuronal activity and globally weaken or strengthen all synapses to maintain neuronal activity within a healthy range. Thus, strengthening of one pattern of synapses must be accompanied by weakening of nearby synapses. The above long-term changes are known to require transcriptional regulation. Most details are not yet known, but the qualitative roles of some key enzymes and genes are beginning to be understood. Mathematical modeling will be essential to develop a more comprehensive, predictive picture of how genes and proteins transduce brief stimuli into long-lasting memories and how these memories are preserved despite protein turnover and synaptic homeostasis mechanisms. Such understanding is likely to be important for improved treatment of memory disorders and learning disabilities.
I also maintain interest in modeling coupling between the electrical activity of excitable cells and intracellular metabolic and signaling pathways. For example, the rate of insulin secretion from pancreatic islets is tightly coupled to the level of blood glucose via the glycolytic pathway. I have been involved in a collaborative modeling effort to develop a more comprehensive picture of the glucose-insulin coupling, both in health and in the diabetic state. This effort could help in developing improved treatments for diabetes.
Smolen P., Baxter D.A., and Byrne J.H. (2000) Mathematical modeling of gene networks. Neuron, 26: 567-580.
Smolen P., Baxter D.A., and Byrne J.H. (2002) A reduced model clarifies the role of feedback loops and time delays in the Drosophila circadian oscillator. Biophys. J. 83: 2349-2359.
Smolen P., Hardin P.E., Lo B.S., Baxter D.A., and Byrne J.H. (2004). Simulation of Drosophila circadian oscillations, mutations, and light responses by a model with VRI, PDP-1, and CLK. Biophys. J. 86: 2786-2802.
Bertram R., Satin L., Zheng M., Smolen P., and Sherman A. (2004). Calcium and glycolysis mediate multiple bursting modes in pancreatic islets. Biophys. J. 87: 3074-3087.
Pettigrew D.B., Smolen P., Baxter D.A., and Byrne J.H. (2005). Dynamic properties of regulatory motifs associated with induction of three temporal domains of memory in Aplysia. J. Comput. Neurosci. 18: 163-181.
Smolen P., Baxter D.A., and Byrne J.H. (2006). A model of the roles of essential kinases in the induction and expression of late long-term potentiation. Biophys. J., in press.
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