random

Simulate SimBiology model, adding variations by sampling error model

Syntax

[ynew,parameterEstimates] = random(resultsObj)

[ynew,parameterEstimates] = random(resultsObj,data,dosing)

[ynew,parameterEstimates]= random(resultsObj,data,dosing,'Variants',v)

Description

[ynew,parameterEstimates] = random(resultsObj) returns simulation results ynew with added noise using the error model information specified by the resultsObj.ErrorModelInfo property and estimated parameter values parameterEstimates.

[ynew,parameterEstimates] = random(resultsObj,data,dosing) uses the specified data and dosing information.

[ynew,parameterEstimates]= random(resultsObj,data,dosing,'Variants',v) also applies the specified variants to each simulation.

Note

The noise is only added to states that are responses which are the states included in the responseMap input argument when you called sbiofit or the ResponseMap property of fitproblem. If there is a separate error model for each response, the noise is added to each response separately using the corresponding error model.

Examples

Add Noise to Simulation Results of a Fitted SimBiology Model

This example uses the yeast heterotrimeric G protein model and experimental data reported by [1]. For details about the model, see the Background section in Parameter Scanning, Parameter Estimation, and Sensitivity Analysis in the Yeast Heterotrimeric G Protein Cycle.

Load the G protein model.

sbioloadproject gprotein

Store the experimental data containing the time course for the fraction of active G protein.

time = [10 30 60 110 210 300 450 600]';
GaFracExpt = [0.35 0.4 0.36 0.39 0.33 0.24 0.17 0.2]';

Create a groupedData object based on the experimental data.

tbl = table(time,GaFracExpt);
grpData = groupedData(tbl);

Map the appropriate model component to the experimental data. In other words, indicate which species in the model corresponds to which response variable in the data. In this example, map the model parameter GaFrac to the experimental data variable GaFracExpt from grpData.

responseMap = 'GaFrac = GaFracExpt';

Use an estimatedInfo object to define the model parameter kGd as a parameter to be estimated.

estimatedParam = estimatedInfo('kGd');

Perform the parameter estimation. Use the name-value argument ErrorModel to specify the error model that adds error to simulation data.

fitResult = sbiofit(m1,grpData,responseMap,estimatedParam,ErrorModel="proportional");

View the estimated parameter value of kGd.

fitResult.ParameterEstimates

ans=1×3 table
     Name      Estimate    StandardError
    _______    ________    _____________

    {'kGd'}    0.10877       0.001397   

Use the random method to retrieve the simulation data with added noise using the proportional error model which was specified by sbiofit. Note that the noise is added only to the response state, that is the GaFrac parameter.

[ynew,paramEstim] = random(fitResult);

Select the simulation data for the GaFrac parameter.

GaFracNew = select(ynew,{'Name','GaFrac'});

Plot the simulation results.

plot(GaFracNew.Time,GaFracNew.Data)
hold on

Plot the experimental data to compare it with the simulated data.

plot(time,GaFracExpt,'Color','k','Marker','o')
legend('GaFracNew','GaFracExpt')

Input Arguments

resultsObj — Estimation results

OptimResults object | NLINResults object

Estimation results, specified as an OptimResults object or NLINResults object, which contains estimation results returned by sbiofit. It must be a scalar object.

data — Grouped data or output times

groupedData object | vector | cell array of vectors

Grouped data or output times, specified as a groupedData object, vector, or cell array of vectors of output times.

If it is a vector of time points, random simulates the model with new time points using the parameter estimates from the results object resultsObj.

If it is a cell array of vectors of time points, random simulates the model n times using the output times from each time vector, where n is the length of data.

If it is a groupedData object, it must have an independent variable such as Time. It must also have a group variable if the training data used for fitting has such variable. You can use a groupedData object to query different combinations of categories if the resultsObj contains parameter estimates for each category. random simulates the model for each group with the specified categories. For instance, suppose you have a set of parameter estimates for sex category (males versus females), and age category (young versus old) in your training data. You can use random to simulate the responses of an old male (or any other combination) although such patient may not exist in the training data.

If the resultsObj is from estimating category-specific parameters, data must be a groupedData object.

Note

If UnitConversion is turned on for the underlying SimBiology model that was used for fitting and data is a groupedData object, data must specify valid variable units via data.Properties.VariableUnits property. If it is a numeric vector or cell array of vectors of time points, random uses the model’s TimeUnits.

dosing — Dosing information

[] | {} | 2-D matrix of dose objects | cell vector of dose objects

Dosing information, specified as empty [] or {}, 2-D matrix or cell vector of SimBiology dose objects (ScheduleDose object or RepeatDose object).

If dosing is empty, no doses are applied during simulation, even if the model has active doses.

For a matrix of dose objects, it must have a single row or one row per group in the input data. If it has a single row, the same doses are applied to all groups during simulation. If it has multiple rows, each row is applied to a separate group, in the same order as the groups appear in the input data. Multiple columns are allowed so that you can apply multiple dose objects to each group.

For a cell vector of doses, it must have one element or one element per group in the input data. Each element must be [] or a vector of doses. Each element of the cell is applied to a separate group, in the same order as the groups appear in the input data.

In addition to manually constructing dose objects using sbiodose, if the input groupedData object has dosing information, you can use the createDoses method to construct doses.

Dose objects of the dosing input must be consistent with the original dosing data used with sbiofit. The objects must have the same values for dose properties (such as TargetName) or must be parameterized in the same way as the original dosing data. For instance, suppose that the original dosing matrix has two columns of doses, where the doses in the first column target species x and those in the second column target species y. Then dosing must have doses in the first column targeting species x and those in the second column targeting species y. A parameterized dose example is as follows. Suppose that the Amount property of a dose used in the original sbiofit call is parameterized to a model-scoped parameter 'A'. All doses for the corresponding group (column) in the dosing matrix input must have the Amount property parameterized to 'A'.

The number of rows in the dosing matrix or number of elements in the dosing cell vector and the number of groups or output time vectors in data determine the total number of simulation results in the output ynew. For details, see the table in the ynew argument description.

Note

If UnitConversion is turned on for the underlying SimBiology^® model that was used for fitting, dosing must specify valid amount and time units.

v — Variants to apply

[] | {} | 2-D matrix of variants | cell vector of variants

Variants to apply, specified as an empty array ([], {}), 2-D matrix or cell vector of variant objects.

If you do not specify this argument, the function has the following behavior depending on whether the second input argument (data) is specified also or not.

• If data is not specified, the function applies the group-specific variants from the original call to sbiofit.

• If data is a vector or cell array of output times, the function does not apply the group-specific variants.

• If data is a groupedData object, the function applies variants only to groups whose group identifier matches a group identifier in the original training data that was used in the call to sbiofit.

Note

• The baseline variants that were specified by the variants positional input argument in the original call to sbiofit are always applied to the model, and they are applied before any group-specific variants.

• If there are no baseline variants, that is, you did not specify the variants input when calling sbiofit, the random function still applies the model active variants if there are any.

If the argument value is [] or {}, the function applies no group-specific variants.

If it is a matrix of variants, it must have either one row or one row per group. Each row is applied to a separate group, in the same order as the groups appear in data or dosing. If it has a single row, the same variants are applied to all groups during simulation. If there are multiple columns, the variants are applied in order from the first column to the last.

If it is a cell vector of variant objects, the number of cells must be one or must match the number of groups in the input data. Each element must be [] or a vector of variants. If there is a single cell containing a vector of variants, they are applied to all simulations. If there are multiple cells, the variants in the ith cell are applied to the simulation of the ith group.

The function defines the number of groups by examining the data, and dosing input arguments.

• data can have 1 or N groups.

• If data and dosing arguments are not specified, then the default data and dosing are determined as follows:

  • For unpooled fits, they are the data and dosing for the single group associated with that fit results.

  • For all other fits, they are the entire set of data and dosing associated with the call to sbiofit.

Output Arguments

ynew — Simulation results with noise

vector of SimData objects

Simulation results, returned as a vector of SimData objects. The states reported in ynew are the states that were included in the responseMap input argument of sbiofit as well as any other states listed in the StatesToLog property of the runtime options (RuntimeOptions) of the SimBiology model.

The total number of simulation results in ynew depends on the number of groups or output time vectors in data and the number of rows in the dosing matrix.

Number of groups or output time vectors in data	Number of rows in the dosing matrix	Simulation results
1	0, that is, dosing is empty []	The total number of SimData objects in ynew is 1. No doses are applied during simulation.
1	1	The total number of SimData objects in ynew is 1. The given row of doses is applied during the simulation.
1	N	The total number of SimData objects in ynew is N. Each row of dosing is applied to each simulation.
N	0, that is, dosing is empty []	The total number of SimData objects in ynew is N. No doses are applied during simulation.
N	1	The total number of SimData objects in ynew is N. The same row of doses is applied to each simulation.
N	N	The total number of SimData objects in ynew is N. Each row of dosing is applied to a separate group, in the same order that groups appear in data.
M	N	The function throws an error when M ≠ N.

parameterEstimates — Estimated parameter values

table

Estimated parameter values, returned as a table. This is identical to resultsObj.ParameterEstimates property.

References

[1] Yi, T-M., Kitano, H., and Simon, M. (2003). A quantitative characterization of the yeast heterotrimeric G protein cycle. PNAS. 100, 10764–10769.

Version History

Introduced in R2014a