Dr. Steven M. Baer

                                                    Research
 
Current research:  Mathematical modeling of electro-chemical processes in nerve, muscle and sensory cells; singular perturbation and bifurcation analysis;  reaction diffusion equations.
 
Selected Publications:

Baer, S.M., E.M. Gaekel: Slow acceleration and deacceleration through a Hopf bifurcation: Power ramps, target nucleation, and elliptic bursting. Phys. Rev. E. 78, 036205 (2008).

Baer, S.M., B. Li, and H.L. Smith: Multiple limit cycles in the standard model of three species competition for three essential resources. Journal of Mathematical Biology. 52:745-760 (2006).

Baer, S.M., B.W. Kooi, Yu. A. Kuznetsov, and H.R. Thieme: Multiparametric bifurcation analysis of a basic two stage population model. Siam J. Appl. Math. 66: 1339-1365 (2006).

Verzi, D.W., M.B. Rheuben, and S.M. Baer: Impact of time dependent changes in spine density and spine shape on the input-output properties of a dendritic branch: A computational study. J. Neurophysiol. 93:2073-2085 (2005).

Kuske, R. and S.M. Baer: Asymptotic analysis of noise sensitivity in a neuronal burster. Bull. Math. Biol. 64:447-481 (2002).

Wu, H-Y, S.M. Baer: Analysis of an excitable spine with an activity dependent stem conductance. J. Math. Biol. 36:569-592 (1998).

Baer, S.M., J. Rinzel, and H. Carrillo: Analysis of an autonomous phase model for neuronal parabolic bursting. J. Math. Biol. 33:309-333 (1995).

Baer, S.M. and T. Erneux: Singular Hopf bifurcation to relaxation oscillations II.  SIAM J. Appl. Math. 52:1651-1664 (1992).

Baer, S.M. and  J. Rinzel: Propagation of dendritic spikes mediated by excitable spines: a continuum theory. J. Neurophysiol. 65:874-890 (1991).

Nelson, R., R. Pflug, and S.M. Baer: Background-induced flicker-enhancement in cat retinal horizontal cells II: spatial properties. J. Neurophysiol. 64:326-340 (1990).

Rinzel, J. and  S.M. Baer: Threshold for repetitive activity for a slow stimulus ramp: a memory effect and its dependence on fluctuations. Biophysical J. 54:551-555 (1988).

Baer, S.M., T. Erneux, and J. Rinzel: The slow passage through a Hopf bifurcation:  delay, memory effects and resonance. SIAM J. Appl. Math. 49:55-71 (1988).

Erneux, T.,  S.M. Baer  and  P. Mandel:  Subharmonic bifurcation and bistability  of periodic solutions in a periodically modulated laser. Physical Review A. 35:1165-1171 (1987).

Baer, S.M. and T. Erneux: Singular Hopf bifurcation to relaxation oscillations.  SIAM J. Appl. Math. 46:721-737 (1986).

Baer, S.M.  and C. Tier: An  analysis of a dendritic neuron model with an active membrane site. J. Math. Biology 23:137-161 (1986).