COMPUTATIONAL
NEUROSCIENCE

Software


Page Contents

  1. MODELING
    1. Microphysiological
    2. Compartmental
    3. Realistic Network
    4. Interoperability
  2. MODELING SUPPORT
    1. Data Aquisition & Control
    2. Data Analysis & Visualization
      1. Morphology
      2. Time Series
      3. Network
    3. Database Management
    4. Differential Equation Solvers

I. MODELING

The Neuroscience Gateway, NSG allows computational neuroscientists to run parallel simulations, free of charge, on supercomputers using tools like GENESIS, NEURON, NEST, Brian, and PyNN (descriptions below).
NSG provides a simple web-based interface that makes it quick and easy to create an account, upload model code, run simulations, and get back results.

A. Microphysiological Modeling

Abstracted Protein Simulator

Using a highly abstracted view of protein structure, allows Monte-Carlo simulations of relatively large systems to be carried out on single PCs. Written in Java and Java3D.

BioNetGen

BioNetGen is software for the specification and simulation of rule-based models of biochemical systems, including signal transduction, metabolic, and genetic regulatory networks.

CalC ("Ca2+ Calculator") Reaction/Diffusion Modeling Software

Provides for biophysical modeling of intracellular calcium dynamics. It allows the inclusion of mobile and/or fixed calcium buffers, as well as various diffusion barriers. Written in C++. Tested on Linux, SGI, SUN and Windows. See manual for details.

Copasi Complex Pathway Simulator

Copasi is a software application for simulation and analysis of biochemical networks.

E-Cell

E-Cell System is a software platform for modeling, simulation and analysis of complex, heterogeneous and multi-scale systems like the cell.

EONS - Elementary Objects of the Neural System

EONS provides a modeling platform to study the basic molecular mechanisms that occur at the synaptic junction, both pre- and postsynapticly, as well as the impact of synaptic geometry (2D).

MCell Monte Carlo Similator of Cellular Microphysiology

Incorporates high resolution cellular ultrastructure into models of ligand diffusion and signal transduction.

Meredys Mesoscopic Reaction Dynamics Simulator

One can address questions at the level of molecular interactions and signal transduction in biological systems, where local concentration effects and the geometry of interactions are important. Input files are formatted in NeuroML.

NeuroRD Neuronal Reactioin Diffusion simulator

Uses Gillespie's tau-leap reaction algorithm, and stochastic diffusion. XML-based files provide model specification. Written in Java for portability.

pSICS the Parallel Stochastic Ion Channel Simulator

pSICS computes the behavior of neurons taking account of the stochastic nature of ion channel gating.

Smoldyn

Smoldyn is a computer program for cell-scale biochemical simulations. The Smoldyn core has been added to MOOSE and Virtual Cell.

STEPS STochastic Engine for Pathway Simulation

STEPS is a package for exact stochastic simulation of reaction-diffusion systems in arbitrarily complex 3D geometries. Developed for simulating detailed models of neuronal signaling pathways in dendrites and around synapses where spatial gradients and morphology are important. Written in and controlled with Python.

VCell Virtual Cell

The biologically oriented user interface allows experimentalists to create models, define cellular geometry, specify simulations and analyze the simulation results. The solver is transparent to the average user, but is accessible to the theorist. SBML import/export.

B. Compartmental Modeling

Brain Lab

Brain Lab is an educational neuron simulator for iPhone and iPad. It currently includes a passive integrate and fire model and a Hodgkin-Huxley model with Sodium and Potassium channels. More to come.

CONICAL Home Page

C++ class library for the development of compartmental models and other neuroscience simulations.

GENESIS & PGENESIS - GEneral NEural SImulation System (v2.3)

GENESIS is a general purpose simulation platform which was developed to support the simulation of neural systems ranging from complex models of single neurons to simulations of large networks made up of more abstract neuronal components. XODUS, the graphic front end, requires the X Window System. PGENESIS (Parallel GENESIS) depends on PVM. The most recent development efforts can now be followed at SourceForge and on Twitter.

Chemesis

A GENESIS module for modeling the dynamics of second messenger pathways.

Genesis2 Emacs mode for syntax highlighting and indentation

This mode provides: syntax highlighting for Genesis keywords, functions, and objects; automatic indentation with the tab key; function index menu item.

MPI-PGENESIS

Versions of Parallel GENESIS rewritten for MPI are available through the GENESIS users group. Of these, mpgenesis can also be obtained directly from the developer, Christo Panchev.

Parallel GENESIS (PGENESIS) distribution and documentation

GENESIS 3.0 (G-3) / Neurospaces

A complete rewrite of GENESIS as a core structure, integrating independently developed software components. Currently, an interactive shell, a model container, a fast compartmental solver, scheduler, graphical browser and a developer package are available as an alpha release (one can download source code or rpm, deb, and pkg packaged binaries).

Notably, the model container deals with biological entities, and can import / export NeuroML. Also, Python bindings are directly available from the new sspy scheduler. This is now the preferred Python interface and allows easy access to user developed plug-ins.

GENESIS Documentation System

As GENESIS 3 is developed, look for documentation and technical information and installation guides here.

PyGENESIS

A stand-alone neural simulator, scriptable in Python, with an interface to GENESIS 3.

Maxsim Home Page

Analysis and simulation of multiple axonal arbors. Imports Neurolucida files.

MIEN: Model Interaction Environment for Neuroscience

MIEN provides a framework for storing, integrating, and interacting with neuroscience data, including anatomy data, physiology data, abstract mathematical models, and detailed compartmental models. MIEN is not a compartmental model simulator, but it provides an interface to the Neuron simulator for evaluation of compartmental models. Writen in Python.

MOOSE - Multiscale Object-Oriented Simulation Environment

MOOSE spans the range from single molecules to subcellular networks, from single cells to neuronal networks, and to still larger systems. It is backward compatible with GENESIS, and forward compatible with Python and XML-based model definition standards like SBML and NeuroML.

NANS Neuron and Network Simulator

NEURON at Yale

NEURON is a simulation environment for modeling individual neurons and networks of neurons. It provides tools for conveniently building, managing, and using models in a way that is numerically sound and computationally efficient. It is particularly well-suited to problems that are closely linked to experimental data, especially those that involve cells with complex anatomical and biophysical properties. Python can now be used as alternative command line interpreter, and NeuroML model descriptions can be imported.

MyFirstNEURON

MyFirstNEURON is a NEURON demo that allows simulation of experiments described in the book Electrophysiology of the Neuron.

NeuronPM - Parameter Maps with Neuron

NeuronPM ties Windows machines together in a simple grid to parallelize parameter searches. Runs as a screen saver a la SETI@home.

LFPy - Local Field Potentials in Python

LFPy is a Python package for calculation of extracellular potentials from multicompartment neuron models. It relies on the NEURON simulator and uses the Python interface it provides.

NeuronC

Neural simulation language used to build biophysically-based models. Converts branched cables to compartments. Details channel conductances, synapses and gap junctions.

Nodus

PyDSTool

PyDSTool is related to DSTool (see Differential Equation Solvers below), but this new simulation, modeling, and analysis package contains additional toolkits and features for computational neuroscience. It includes: a model development environment, with templates for compartmental models; data analysis tools and built-in tools for continuation / bifurcation analysis.

SNNAP - Simulation of Neural Networks and Action Potentials

Rapid simulation of single neurons (including ion channels and second messenger concentrations) and small networks of neurons.

Surf-Hippo Neuron Simulation System

Surf-Hippo allows construction of morphometrically and biophysically detailed models of single neurons and networks of neurons. Written in Lisp for both Unix and PC installations. It can accept anatomical data in Neurolucida, NTS, Rodney Douglas, and Rocky Nevin formats. Built-in functions also allow user developed anatomical descriptions to be processed.

XPP

Biophysical modeling of cells and membranes, as well as connectionist networks. Phaseplane analysis. Takes advantage of a variety of numerical methods. There is now a Matlab interface and a Python interface. XPP will run on Windows, Unix/Linux, OS X and now on iPad. A very much older version is still available at CMU.

C. Realistic Network Modeling

AnimatLab

AnimatLab combines biomechanical simulation and biologically realistic neural networks. One can build the body of an animal, or robot, and place it in a virtual world with physically accurate interaction with the environment. For the associated nervous system, the software currently has support for simple firing rate or ion based leaky integrate and fire spiking neural models. There are also a number of synapse model types. On the biomechanics side there is support for a variety of different rigid body types, including custom meshes that can be made to match skeletal structures exactly. Hill-based muscle and stretch receptor models allow production of movements around joints. Motorized joints are also provided for controlling biomimetic machines. C++ source included.

Brian

Brian is a simulator for spiking neural networks. Both integrate-and-fire models and Hodgkin-Huxley type models can be used. Brian is useful for models with a few compartments, but not with reconstructed dendritic trees. Written in Python and supported by the PyNN API, Brian will run on Windows, Unix/Linux and OS X.

CARLsim: a GPU-accelerated SNN Simulator

Provides a PyNN-like API. Parameters can be set at the synapse, neuron, and network level. Supported features include: Izhikevich neurons, current-based and conductance based synapses, STDP, STP and homeostatic synaptic scaling. Automated parameter tuning uses evolutionary algorithms.

Catacomb

A workbench for developing biologically plausible network models.

CSIM - neural microCircuit SIMulator

CSIM is a tool for simulating heterogeneous networks composed of different classes of model neurons (analog/spiking) and synapses (Static/STDP). The simulator is written in C++ with a Matlab user interface.

PCSIM

PCSIM is a parallel version for the distributed simulatioin of large scale networks. The simulator now has a Python user interface. Import / export of NeuroML is in development.

GeNN

GeNN is a GPU enhanced Neuronal Network simulation environment based on Nvidia CUDA technology.

Mosaik

An integrated workflow framework for large scale neural simulations Built on top of PyNN, Neo, matplotlib.

MVASpike

Designed to model large networks of biological neural networks. Neurons are integrate and fire with STDP. Python bindings.

NCS - NeoCortical Simulator

Allows large networks of many biologically realistic (Hodgkin-Huxley) neurons to be constructed.

Nengo

Nengo is designed around the neural engineering framework (NEF). It is intended for modelling very large networks of neurons, using spiking point-neuron models. The scripting language used in Nengo is Python.

NESim - Neural Engineering Simulator

Now replaced by Nengo {see above).

NEST (was BLISS/SYNOD)

A simulation system for large networks of biologically realistic (spiking) neurons. It is best suited for the simulation of large networks of spiking point-neuron models. The internal dynamics of these models may be arbitrarily complex.

PyNEST

As of NEST 2.0, this included extension module allows simulations to be coded using the Python programming language..

NSL - Neural Simulation Language

ReMoto

ReMoto is a web-based simulator of the spinal cord and innervated muscles of the human leg. One may study the output spike trains of a single neuron (two-compartment model with ionic channels) in response to different inputs (stochastic or deterministic, synaptic or injected current) and/or to a change of the dynamic description of its ionic channels. One may also study the spike trains of whole networks of spinal neurons as well as the resultant force and electrical activity of the innervated muscles.

SpikeNet

Simulates very large networks of asynchronous spiking neurones in real time.

Topographica

Modeling at the level of cortical maps. First public release late 2005 (although, CVS access is available to the development version).

VERTEX Virtual Electrode Recording Tool for EXtracellular potentials

is a Matlab tool for simulating extracellular potential recordings in spiking neural network models.

XNBC

Simulates biological neural networks. Uses two models: leaky integrator or ion-conductance based (or hybrid).

D. Interoperability

BRAHMS

BRAHMS is a modular framework for executing integrated systems built from component software. Conceptually similar to that of Simulink or Labview, it links the outputs of some processes into the inputs of others.

BrainML

An XML based description language for interoperability among neuroscience resources, and an open non-formal functional ontology.

LANCET

Lancet makes it easy to reproducibly specify a parameter space, run jobs, and collate the output from an external simulator or analysis tool. The approach is fully general, to allow the researcher to switch between different software tools and platforms as necessary. Integrates well with other popular tools such as IPython Notebook and the pandas data analysis library.

MUSIC - MUlti-SImulation Coordinator

The project provides a standardized software interface for runtime communication between disparate parallel applications for large-scale modeling. Built on top of MPI. Demonstrated to work with NEST, Neuron and MOOSE.

NEOSIM2 - a parallel kernel for spiking neurons

The neosim project includes a parallel discrete event simulation kernel for running models of spiking neurons on a cluster of workstations. Models are specified using NeuroML, and visualised using Java2D.

neuroConstruct

Software to ease the development of large 3D networks of biologically realistic neurons for the NEURON, GENESIS, MOOSE, PSICS and PyNN based simulators. Imports cell morphology files from these simulators as well as from SWC, Neurolucida and MorphML format files. Cellular mechanisms can be imported from .mod or .g or ChannelML files. Model generation and execution also scriptable with Python.

NeuroML

An XML based Markup Language for models in neuroscience. It allows for specification of neuronal morphology, the distribution of ion channels on cell membranes, descriptions of the channel mechanisms and of neuronal connectivity. Current development activity can be followed at SourceForge.

libNeuroML

This package provides a Python API for working with simulator-independent representations of biophysically- and morphologically-detailed neuron models, with an efficient internal representation and serialization to/from NeuroML. From the NeuroEnsemble Project.

MorphML

An XML application for the exchange of neural morphology data. It can be used alone or included within NeuroML documents.

Validation of NeuroML and MorphML files

Web based validation of XML files against the various XML Schema documents which define the NeuroML(MorphML,ChannelML,NetworkML) specification. Also provides software for translating NeuroML documents into valid code for use with GENESIS, MOOSE, NEURON and PCICS.

NineML

An XML based Markup Language for describing spiking neuronal network models.

PyNN

PyNN is a Python package for simulator-independent specification of neuronal network models; currently supports NEURON, NEST, PCSIM, Brian and MOOSE.

II. SOFTWARE TO SUPPORT MODELING

INCF is again mentoring projects in Google Summer of Code (GSoC)
May - August, 2014. GSoC is a global program that offers students stipends to write code for open source projects.
Student application deadline: March 21, 2014.

Prior project descriptions are available for: 2013 2012 2011

A. Data Acquisition and Control

DynClamp2/4

Allows for controlling up to 4 neurons in real time, dynamic clamp mode. Written in C++ for Windows 95/98/2000/NT using the DIGIDATA 1200A board from Axon Instruments

MRCI - Model Reference Current Injection

Simulates ionic currents in real time (up to 50kHz). Can be used to: (i) artificially insert ion channels into a neuron, (ii) connect in vitro neurons with simulated synapses, or (iii) connect simulated neurons to in vitro neurons. Runs on Linux with the RTLinux kernel extention. Now replaced by Real-Time eXperiment Interface - RTXI (see below).

Neurolucida™

Commercial but widely used software for microscope control, 3D neuron reconstruction, brain mapping and morphometry from either a live camera image or acquired image stacks. Runs on Windows XP, Vista, 7 in 32 or 64 bit versions. Includes extensive morphological analyses in the companion product Neurolucida Explorer (included). Hardware support for Zeiss, Olympus, Nikon and Leica microscopes, motorized stages, filter wheels, spinning disks, advanced digital cameras, and focus encoders.

Several free tools can be found elsewhere on this page that can directly use or convert Neurolucida output files.

Real-Time eXperiment Interface (RTXI)

The result of merging: MRCI (above), the next generation of Stocastic Dynamic Clamp (see below) and Real-Time Linux Lab to provide a more general purpose experimental control system.

StdpC - Spike timing dependent plasticity Clamp

A modification of DynClamp2 (see above) to include the following features: (i) a spike generator, (ii) hidden parameter panels, (iii) data displays for debugging, (iv) saving and loading of parameter settings, (v) spike timing dependent plasticity, and (vi) experimental automatization and scripting.

Stochastic Dynamic Clamp

Real time creation of virtual ionic conductances in living neurons. Runs on Linux with the RTLinux kernel extention.

B. Data Analysis and Visualization

1. Computational Morphology and Format Conversion

CARET (Computerized Anatomical Reconstruction and Editing Toolkit)

is designed for interactively viewing, manipulating, and analyzing surface reconstructions of the cerebral and cerebellar cortex.

cvapp

Java 1.1 application/applet converts Neurolucida morphology files to GENESIS or NEURON format. It was developed as a morphology viewer/editor to validate cells contributed to the Duke/Southampton Cell Morphology Archive. A modified version is available that will handle remeshing of structures for Genesis.

L-Neuron

is a software package for the generation and description of dendritic morphology. Virtual neurons are created by the stochastic implementation of neuroanatomical rules. Statistical distributions of parameters used can be measured from computer files of reconstructed neurons in several commonly used formats. Generated neurons can be saved as compartmental files compatible with the GENESIS and NEURON simulators.

Morphoelectrotonic Transforms

Mathematica package provides graphical mapping from morphological to electrotonic space.

NeuGen

A Generator for realistic Neurons in 3D. NeuGen is made for the generation of dendritic and axonal morphology of realistic neurons and neuroal networks in 3D. It directly supports geometry formats for using the NEURON simulation software.

NeuRA - Neuron Reconstruction Algorithm

NeuRA is a program for automatic convertion of image stacks, which are aquired by 2-photon microscopy, into vector diagrams.

NeuroGL

Allows neurons to be vizualized/rotated in three dimensions. Accepts Neurolucida, Eutectics and NeuroZoom files as input. For Win 95/98/NT/2000.

Neuromantic

Neuromantic is a free tool for the semi-manual or semi-automatic reconstruction of neurons for single images or image stacks.

NeuroMorph

NeuroMorph is a toolset designed to import, analyze, and visualize mesh models. It has been designed specifically for the morphological analysis of 3D objects derived from serial electron microscopy images of brain tissue. Developed as a set of plug-ins for Blender.

NeuronJ

An ImageJ plugin to semi-automate Neurite Tracing and Quantification

Neuron_Morpho

A plug-in for ImageJ that allows one to measure the coordinates and the diameter of a section of a neuron together with other information that can be used to reconstruct neuron morphology. Outputs .swc format files.

NeuronStudio

An automated system for digitization, 3D reconstruction and geometric analysis of detailed neuronal morphology. Scales from spine geometry through multi neuron networks.

NIPY - Neuroimaging in Python

NLMorphologyConverter / Viewer - from Neuronland

A command line program for converting between 3D neuron morphology formats. Currently 21 formats are supported, including Neurolucida, SWC, MorphML, NeuroZoom, Eutectics. The viewer is a GUI that provides interactive views of any format supported by the converter.

NTSCABLE

Converts morphology description files in a variety of formats: Eutectic, Douglas (2d and 3d), Nevin, Neurolucida for use in NEURON.

PView - Polygonized Viewer

Provides a flight simulator type interface for viewing neurons reconstructed from multiple image stacks.

Reconstruct

3D reconstruction from serial section image stacks.

SynD - Synapse and neurite Detection

SynD is an automated image analysis routine to analyze dendrite and synapse characteristics in immuno-fluorescence images. Written in Matlab.

TrakEM2

TrakEM2 is an ImageJ plugin for morphological data mining, three-dimensional modeling and image stitching, registration, editing and annotation. Exported NeuroML validates to Level 3.

TREES toolbox

Provides tools to automatically reconstruct neuronal branching from microscopy image stacks, visualize and analyze dendritic and axonal trees, and quantitatively comparing branching structures between neurons. Freely distributed but written in Matlab.

PyTreesTB

A Python wrapper for the Trees Toolbox.

V3D

V3D is a cross-platform (Mac, Linux, and Windows) tool for visualizing large-scale (gigabytes, and 64-bit data) 3D image stacks and various surface data. It includes modules for 3D image analysis (cell segmentation, neuron tracing, brain registration, annotation, quantitative measurement and statistics) and data management.

VIAS - Volume Integration and Alignment System

Allows multiple stacks of tiled optical sections obtained from Laser Scanning Microscopy to be integrated into a single volumetric dataset.

XNAT - eXtensible Neuroimaging Archive Toolkit

An informatics platform for managing, exploring, and sharing neuroimaging data. XNAT uses a three-tiered architecture: data archive, middleware, and secure web based user interface.

2. Time Series Data

DataThief

DataThief is a program to reverse engineer data points from published graphs.

FIND - Finding Information in Neural Data

An open-source analysis toolbox for multiple-neuron recordings and network simulations (currently works with NEST and PyNN). Environments can be compared using identical analysis methods. This allows comparing results across experiments and laboratories as well as direct comparison of simulation results and electrophysiological recordings.

KlustaKwik

Enables automatic sorting of neuronal action potential waveforms. C++.

Klusters

Designed to asist neurophysiologists with both manual and automatic spike sorting/cluster cutting. Visualization tools include waveform displays and auto- and cross-correlograms.

MClust

A Matlab toolbox which enables a user to perform manual clustering on single-electrode, stereotrode, and tetrode recordings taken with the DataWave and Cheetah recording systems. The toolbox is free-ware, but you will need Matlab 5.2 or higher to run it. Tested on Windows and Solaris.

MEA - Tools

Matlab Tools for the analysis of multi-neuronal data recorded with multi-electrode arrays.

Neo

Neo is a package for representing electrophysiology data in Python, together with support for reading a wide range of neurophysiology file formats, including Spike2, NeuroExplorer, AlphaOmega, Axon, Blackrock, Plexon, Tdt, and support for writing to a subset of these formats plus non-proprietary formats including HDF5. From the NeuralEnsemble initiative.

OpenElectrophy

OpenElectrophy is a Python module for electrophysiology data analysis (intra- and extra-cellular). OpenElectrophy is built on top of Neo. Includes a complete offline spikesorting tool chain, LFP analysis, data storage. From the NeuralEnsemble initiative.

neurALC

neurALC is an open-source cross-platform software for the analysis of multi-electrode recordings. It also offers analysis functions like population activity estimation, single electrode/unit PSTH, ISI & instant firing rate calculation, correlation/autocorrelation, spectrum, delay, mutual information, recurrence plots, among others. Visualization of the recordings can be done in 2D and 3D.

NEUROFIT

Software for fitting Hodgkin-Huxley models to voltage-clamp data. A Python interpreter is bundled as part of the NEUROFIT package.

Neurofitter

Neurofitter is a parameter tuning package for electrophysiological neuron models.

NeuroMatic

NeuroMatic is a collection of Igor Pro functions for analyzing electrophysiological data.

neurobjects

A set of reusable java components for neuronal data analysis. Initially developed to explore neuronal coding of sensory objects on primary sensory cortices and hippocampus.

NEV2lkit

(nev toolkit) is a tool for handling neuronal event files.

Optimizer

Optimizer is a GUI-based application for the optimization of conductance based neuron models. Developed in Python using Python modules for nonlinear optimization. Interfaces directly with NEURON; other simulators can be used.

Oscilloscope

Oscilloscope is a Macintosh program for visualization and analysis of waveforms generated by neurons or by computer simulations of neurons.

OSort

OSort is an online spike sorting algorithm.

PANDORA’s Toolbox

PANDORA is a Matlab Toolbox that makes database management accessible from an electrophysiology project; queries use SQL syntax.

QuB

Software for fitting Markov ion channel models to experimental data.

SpikeSort

Implemented completely in Python, SpikeSort features manual and automatic clustering, handles HDF5 and other data formats. Open source.

STAR: Spike Train Analysis with R

STAR is an R package to analyze spike trains. It provides tools to visualize spike trains and fit, test and compare models of discharge applied to actual data from one or several neurons.

Wave_Clus

Unsupervised detection and sorting.

3. Network Visualization

NeurAnim - the Neuron Animator

Transforms a simple description of the geometry and activity of a network of neurons and transforms it to a 3D animation. C++ with the addition of the OpenGL extension of QT. Tested on Fedora II with QT 3.3.

C. Database Management

Axiope

Provides for XML based management and sharing of scientific data and metadata.

Helmholtz

A modular tool for neuroscience databases. Helmholtz is an open-source tool for developing customized neuroscience databases, implemented as a series of components built with Python and the Django web framework. It provides an abstraction of the underlying database layer, so that any supported relational database can be used (e.g. MySQL, PostgreSQL, Oracle or the built-in SQLite).

Neuroscholar

The NeuroScholar system is a knowledge management system for the neuroscientific literature, allowing users to build an organized library of PDF files and then make and manage free-form notes based on the articles.

Neurosys - Hierarchical Database Project

Users design and construct their own custom GUI screens for data entry, meta-data annotation, queries, and linkage to analytical tools. XML based. No longer in development. Replaced by Yogo (see below).

XANAT

X Windows anatomical database allows graphical and text-based storage and retrieval of connectivity data.

Yogo Data Management Framework

Yogo is a set of software tools created to rapidly build scientific data-management applications. It enables researchers to build their own custom-designed data management systems.

D. Differential Equation Solvers

DSTool - Dynamical System Toolkit

Very good for phaseplane analysis. Patched versions for Redhat linux are available. For current development efforts providing expanded capabilities as a full modeling package see PyDSTool (within Compartmental Modeling above).

XPP

Another good tool for phaseplane analysis, among other functions (see fuller description under Compartmental Modeling above).


This page is maintained by Jim Perlewitz ( perlewitz@earthlink.net )
Please send reports of errors, updates, omissions, or suggestions.
Last updated Oct. 13, 2014.

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