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- Publications
- Influence

An Improved Parameter Estimation Method for Hodgkin-Huxley Models

- A. Willms, D. Baro, R. Harris-Warrick, J. Guckenheimer
- Medicine, Mathematics
- Journal of Computational Neuroscience
- 1 March 1999

We consider whole-cell voltage-clamp data of isolated currents characterized by the Hodgkin-Huxley paradigm. We examine the errors associated with the typical parameter estimation method for these… Expand

Quantitative Single-Cell-Reverse Transcription-PCR Demonstrates That A-Current Magnitude Varies as a Linear Function ofshal Gene Expression in Identified Stomatogastric Neurons

- D. Baro, R. M. Levini, +4 authors R. Harris-Warrick
- Medicine, Biology
- The Journal of Neuroscience
- 1 September 1997

Different Shaker family α-subunit genes generate distinct voltage-dependent K+ currents when expressed in heterologous expression systems. Thus it generally is believed that diverse neuronal K+… Expand

Real-Time Robot Path Planning Based on a Modified Pulse-Coupled Neural Network Model

- H. Qu, S. Yang, A. Willms, Z. Yi
- Medicine, Computer Science
- IEEE Transactions on Neural Networks
- 1 November 2009

This paper presents a modified pulse-coupled neural network (MPCNN) model for real-time collision-free path planning of mobile robots in nonstationary environments. The proposed neural network for… Expand

Asymptotic analysis of subcritical Hopf-homoclinic bifurcation

- J. Guckenheimer, A. Willms
- Mathematics
- 15 May 2000

Abstract This paper discusses the mathematical analysis of a codimension two bifurcation determined by the coincidence of a subcritical Hopf bifurcation with a homoclinic orbit of the Hopf… Expand

Bifurcation, Bursting, and Spike Frequency Adaptation

- J. Guckenheimer, R. Harris-Warrick, J. Peck, A. Willms
- Mathematics, Medicine
- Journal of Computational Neuroscience
- 1 July 1997

Many neural systems display adaptive properties that occur on timescales that are slower than the time scales associated withrepetitive firing of action potentials or bursting oscillations. Spike… Expand

Real-Time Robot Path Planning via a Distance-Propagating Dynamic System with Obstacle Clearance

An efficient grid-based distance-propagating dynamic system is proposed for real-time robot path planning in dynamic environments, which incorporates safety margins around obstacles using local… Expand

Parameter range reduction for ODE models using cumulative backward differentiation formulas

- A. Willms
- Mathematics
- 1 June 2007

We consider fitting an ODE model to time series data of the system variables. We assume that the parameters of the model have some initial range of possible values and the goal is to reduce these… Expand

An Exact Solution of Stikker's Nonlinear Heat Equation

- Allan R. Willms
- Computer Science, Mathematics
- SIAM J. Appl. Math.
- 1 August 1995

Exact solutions are derived for a nonlinear heat equation where the conductivity is a linear fractional function of (i) the temperature gradient or (ii) the product of the radial distance and the… Expand

Static recipient cells as reservoirs of antibiotic resistance during antibiotic therapy.

- A. Willms, P. Roughan, J. Heinemann
- Medicine, Biology
- Theoretical population biology
- 1 December 2006

How does taking the full course of antibiotics prevent antibiotic resistant bacteria establishing in patients? We address this question by testing the possibility that horizontal/lateral gene… Expand

NEUROFIT: software for fitting Hodgkin–Huxley models to voltage-clamp data

- A. Willms
- Biology, Medicine
- Journal of Neuroscience Methods
- 15 December 2002

I introduce publicly available software for accurate fitting of Hodgkin-Huxley models to voltage-clamp data. I describe the model and non-linear fitting procedure employed by the software and compare… Expand