Nonlinear Regression

Least-squares estimation to fit grouped or pooled data, single or multiple experiments

Functions

`fit`	Perform parameter estimation using SimBiology problem object
`sbiofit`	Perform nonlinear least-squares regression
`sbionlinfit`	Perform nonlinear least-squares regression using SimBiology models (requires Statistics and Machine Learning Toolbox software)
`sbioparamestim`	Perform parameter estimation
`sbiosampleparameters`	Generate parameters by sampling covariate model (requires Statistics and Machine Learning Toolbox software)
`sbiosampleerror`	Sample error based on error model and add noise to simulation data
`sbioparameterci`	Compute confidence intervals for estimated parameters (requires Statistics and Machine Learning Toolbox)
`sbiopredictionci`	Compute confidence intervals for model predictions (requires Statistics and Machine Learning Toolbox)

`fitproblem`	SimBiology problem object for parameter estimation
`groupedData`	Table-like collection of data and metadata
`EstimatedInfo object`	Object containing information about estimated model quantities
`LeastSquaresResults object`	Results object containing estimation results from least-squares regression
`Observable`	Object containing expression for post-simulation calculations
`OptimResults object`	Estimation results object, subclass of `LeastSquaresResults`
`NLINResults object`	Estimation results object, subclass of `LeastSquaresResults`
`ParameterConfidenceInterval`	Object containing confidence interval results for estimated parameters
`PredictionConfidenceInterval`	Object containing confidence interval results for model predictions

SimBiology Model Builder	Build QSP, PK/PD, and mechanistic systems biology models interactively
SimBiology Model Analyzer	Analyze QSP, PK/PD, and mechanistic systems biology models

Calculate NCA Parameters and Fit Model to PK/PD Data Using SimBiology Model Analyzer App
Perform noncompartmental analysis and calibrate model parameters by fitting to experimental PKPD data using nonlinear regression.

Fit PK Parameters Using SimBiology Problem-Based Workflow
This example shows how to estimate model parameters using a SimBiology problem object.
Fit One-Compartment Model to Individual PK Profile
This example shows how to fit an individual's PK profile data to one-compartment model and estimate pharmacokinetic parameters.
Fit a Two-Compartment Model to PK Profiles of Multiple Individuals
This example shows how to estimate pharmacokinetic parameters of multiple individuals using a two-compartment model.
Estimate Category-Specific PK Parameters for Multiple Individuals
This example shows how to estimate category-specific (such as young versus old, male versus female in a hierarchical model), individual-specific, and population-wide parameters using PK profile data from multiple individuals.
Perform Hybrid Optimization Using sbiofit
This example shows how to configure sbiofit to perform a hybrid optimization.

Nonlinear Regression
The purpose of regression models is to describe a response variable as a function of independent variables.
Supported Methods for Parameter Estimation in SimBiology
SimBiology^® supports a variety of optimization methods for least-squares and mixed-effects estimation problems.
Error Models
SimBiology supports the error models described in the following table.
Progress Plot
The progress plot provides the live feedback on the status of parameter estimation while using sbiofit, sbiofitmixed, or the Fit Data program in the SimBiology Model Analyzer app.