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- Rachel Kuske
- 1998

The optimal exercise boundary near the expiration time is determined for an American put option. It is obtained by using Green's theorem to convert the boundary value problem for the price of theâ€¦ (More)

- Joseph B. Keller, Rachel Kuske
- SIAM Journal of Applied Mathematics
- 2001

We consider the normalized sum of n independent identically distributed random variables Xi; i = 1; : : : ; n with the common probability distribution function F (x) and probability density q(y) = Fâ€¦ (More)

- Rachel Kuske
- 1999

This paper gives asymptotic approximations for the probability density functions for delay bifurcations altered by noise. In these processes, very small noise signi cantly reduces the delay until theâ€¦ (More)

- Sarah L. Mitchell, Rachel Kuske, A. P. Peirce
- SIAM Journal of Applied Mathematics
- 2007

The dynamics of hydraulic fracture, described by a system of nonlinear integrodifferential equations, is studied through the development and application of a multiparameter singular perturbationâ€¦ (More)

New modulation equations for hexagonal patterns in reaction-di usion systems are derived for parameter regimes corresponding to the onset of patterns. These systems include additional nonlinearitiesâ€¦ (More)

- Yi Cao, Rachel Kuske, Hongbin Li
- Biophysical journal
- 2008

Single-molecule force-clamp spectroscopy is a valuable tool to analyze unfolding kinetics of proteins. Previous force-clamp spectroscopy experiments have demonstrated that the mechanical unfolding ofâ€¦ (More)

- Rachel Kuske, Luis F. Gordillo, Priscilla E. Greenwood
- Journal of theoretical biology
- 2007

Sustained oscillations in a stochastic SIR model are studied using a new multiple scale analysis. It captures the interaction of the deterministic and stochastic elements together with the separationâ€¦ (More)

We analyze a piecewise-linear FitzHugh-Nagumo model. The system exhibits a canard near which both small amplitude and large amplitude periodic orbits exist. The addition of small noise inducesâ€¦ (More)

In this paper we consider the mechanism for localized behavior in coupled calcium oscillators described by the canonical two-pool model. Localization occurs when the individual cells oscillate withâ€¦ (More)

- Na Yu, Rachel Kuske, Yue Xian Li
- Chaos
- 2008

Synaptically coupled neurons show in-phase or antiphase synchrony depending on the chemical and dynamical nature of the synapse. Deterministic theory helps predict the phase differences between twoâ€¦ (More)