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| FiberForceLengthCurve () |
| The default constructor creates a fiber-force-length curve using the default property values and assigns a default name. More...
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| FiberForceLengthCurve (double strainAtZeroForce, double strainAtOneNormForce, double stiffnessAtLowForce, double stiffnessAtOneNormForce, double curviness) |
| Constructs a fiber-force-length curve using the provided parameters and assigns a default name. More...
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double | getStrainAtZeroForce () const |
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double | getStrainAtOneNormForce () const |
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double | getStiffnessAtLowForceInUse () const |
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double | getStiffnessAtOneNormForceInUse () const |
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double | getCurvinessInUse () const |
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bool | isFittedCurveBeingUsed () const |
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void | setCurveStrains (double aStrainAtZeroForce, double aStrainAtOneNormForce) |
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void | setOptionalProperties (double stiffnessAtLowForce, double stiffnessAtOneNormForce, double curviness) |
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double | calcValue (const SimTK::Vector &x) const override |
| Implement the generic OpenSim::Function interface. More...
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double | calcValue (double normFiberLength) const |
| Evaluates the fiber-force-length curve at a normalized fiber length of 'normFiberLength'. More...
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double | calcDerivative (double normFiberLength, int order) const |
| Calculates the derivative of the fiber-force-length multiplier with respect to the normalized fiber length. More...
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double | calcDerivative (const std::vector< int > &derivComponents, const SimTK::Vector &x) const override |
| If possible, use the simpler overload above. More...
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double | calcIntegral (double normFiberLength) const |
| Calculates the normalized area under the curve. More...
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SimTK::Vec2 | getCurveDomain () const |
| Returns a SimTK::Vec2 containing the lower (0th element) and upper (1st element) bounds on the domain of the curve. More...
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void | printMuscleCurveToCSVFile (const std::string &path) |
| Generates a .csv file with a name that matches the curve name (e.g., "bicepsfemoris_FiberForceLengthCurve.csv"). More...
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void | ensureCurveUpToDate () |
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const double & | get_strain_at_zero_force () const |
| Get the value of the strain_at_zero_force property. More...
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double & | upd_strain_at_zero_force () |
| Get a writable reference to the strain_at_zero_force property. More...
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void | set_strain_at_zero_force (const double &value) |
| Set the value of the strain_at_zero_force property. More...
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const double & | get_strain_at_one_norm_force () const |
| Get the value of the strain_at_one_norm_force property. More...
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double & | upd_strain_at_one_norm_force () |
| Get a writable reference to the strain_at_one_norm_force property. More...
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void | set_strain_at_one_norm_force (const double &value) |
| Set the value of the strain_at_one_norm_force property. More...
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const double & | get_stiffness_at_low_force () const |
| Get the value of the stiffness_at_low_force property. More...
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double & | upd_stiffness_at_low_force () |
| Get a writable reference to the stiffness_at_low_force property. More...
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void | set_stiffness_at_low_force (const double &value) |
| Set the value of the stiffness_at_low_force property. More...
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const double & | get_stiffness_at_one_norm_force () const |
| Get the value of the stiffness_at_one_norm_force property. More...
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double & | upd_stiffness_at_one_norm_force () |
| Get a writable reference to the stiffness_at_one_norm_force property. More...
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void | set_stiffness_at_one_norm_force (const double &value) |
| Set the value of the stiffness_at_one_norm_force property. More...
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const double & | get_curviness () const |
| Get the value of the curviness property. More...
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double & | upd_curviness () |
| Get a writable reference to the curviness property. More...
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void | set_curviness (const double &value) |
| Set the value of the curviness property. More...
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| Function () |
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| Function (const Function &aFunction) |
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virtual | ~Function () |
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virtual void | init (Function *aFunction) |
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Function & | operator= (const Function &aFunction) |
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virtual int | getArgumentSize () const |
| Get the number of components expected in the input vector. More...
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virtual int | getMaxDerivativeOrder () const |
| Get the maximum derivative order this Function object can calculate. More...
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virtual | ~Object () |
| Virtual destructor for cleanup. More...
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bool | isEqualTo (const Object &aObject) const |
| Equality operator wrapper for use from languages not supporting operator overloading. More...
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Object & | operator= (const Object &aObject) |
| Copy assignment copies he base class fields, including the properties. More...
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virtual bool | operator== (const Object &aObject) const |
| Determine if two objects are equal. More...
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virtual bool | operator< (const Object &aObject) const |
| Provide an ordering for objects so they can be put in sorted containers. More...
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void | setName (const std::string &name) |
| Set the name of the Object. More...
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const std::string & | getName () const |
| Get the name of this Object. More...
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void | setDescription (const std::string &description) |
| Set description, a one-liner summary. More...
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const std::string & | getDescription () const |
| Get description, a one-liner summary. More...
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const std::string & | getAuthors () const |
| Get Authors of this Object. More...
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void | setAuthors (const std::string &authors) |
| Set Authors of this object. More...
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const std::string & | getReferences () const |
| Get references or publications to cite if using this object. More...
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void | setReferences (const std::string &references) |
| Set references or publications to cite if using this object. More...
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int | getNumProperties () const |
| Determine how many properties are stored with this Object. More...
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const AbstractProperty & | getPropertyByIndex (int propertyIndex) const |
| Get a const reference to a property by its index number, returned as an AbstractProperty. More...
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AbstractProperty & | updPropertyByIndex (int propertyIndex) |
| Get a writable reference to a property by its index number, returned as an AbstractProperty. More...
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bool | hasProperty (const std::string &name) const |
| Return true if this Object has a property of any type with the given name, which must not be empty. More...
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const AbstractProperty & | getPropertyByName (const std::string &name) const |
| Get a const reference to a property by its name, returned as an AbstractProperty. More...
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AbstractProperty & | updPropertyByName (const std::string &name) |
| Get a writable reference to a property by its name, returned as an AbstractProperty. More...
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template<class T > |
bool | hasProperty () const |
| Return true if this Object contains an unnamed, one-object property that contains objects of the given template type T. More...
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template<class T > |
const Property< T > & | getProperty (const PropertyIndex &index) const |
| Get property of known type Property<T> as a const reference; the property must be present and have the right type. More...
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template<class T > |
Property< T > & | updProperty (const PropertyIndex &index) |
| Get property of known type Property<T> as a writable reference; the property must be present and have the right type. More...
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bool | isObjectUpToDateWithProperties () const |
| Returns true if no property's value has changed since the last time setObjectIsUpToDateWithProperties() was called. More...
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void | readObjectFromXMLNodeOrFile (SimTK::Xml::Element &objectElement, int versionNumber) |
| We're given an XML element from which we are to populate this Object. More...
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virtual void | updateFromXMLNode (SimTK::Xml::Element &objectElement, int versionNumber) |
| Use this method to deserialize an object from a SimTK::Xml::Element. More...
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void | updateXMLNode (SimTK::Xml::Element &parent, const AbstractProperty *prop=nullptr) const |
| Serialize this object into the XML node that represents it. More...
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bool | getInlined () const |
| Inlined means an in-memory Object that is not associated with an XMLDocument. More...
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void | setInlined (bool aInlined, const std::string &aFileName="") |
| Mark this as inlined or not and optionally provide a file name to associate with the new XMLDocument for the non-inline case. More...
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std::string | getDocumentFileName () const |
| If there is a document associated with this object then return the file name maintained by the document. More...
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int | getDocumentFileVersion () const |
| If there is a document associated with this object then return its version number. More...
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void | setAllPropertiesUseDefault (bool aUseDefault) |
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bool | print (const std::string &fileName) const |
| Write this Object into an XML file of the given name; conventionally the suffix to use is ".osim". More...
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std::string | dump () const |
| dump the XML representation of this Object into an std::string and return it. More...
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virtual bool | isA (const char *type) const |
| The default implementation returns true only if the supplied string is "Object"; each Object-derived class overrides this to match its own class name. More...
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const std::string & | toString () const |
| Wrapper to be used on Java side to display objects in tree; this returns just the object's name. More...
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PropertySet & | getPropertySet () |
| OBSOLETE: Get a reference to the PropertySet maintained by the Object. More...
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const PropertySet & | getPropertySet () const |
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static Function * | makeFunctionOfType (Function *aFunction, const std::string &aNewTypeName) |
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static Function * | safeDownCast (OpenSim::Object *obj) |
| For use in MATLAB and Python to access the concrete class. More...
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static const std::string & | getClassName () |
| This returns "Function". More...
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static void | registerType (const Object &defaultObject) |
| Register an instance of a class; if the class is already registered it will be replaced. More...
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static void | renameType (const std::string &oldTypeName, const std::string &newTypeName) |
| Support versioning by associating the current Object type with an old name. More...
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static const Object * | getDefaultInstanceOfType (const std::string &concreteClassName) |
| Return a pointer to the default instance of the registered (concrete) Object whose class name is given, or NULL if the type is not registered. More...
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template<class T > |
static bool | isObjectTypeDerivedFrom (const std::string &concreteClassName) |
| Return true if the given concrete object type represents a subclass of the template object type T, and thus could be referenced with a T*. More...
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static Object * | newInstanceOfType (const std::string &concreteClassName) |
| Create a new instance of the concrete Object type whose class name is given as concreteClassName. More...
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static void | getRegisteredTypenames (Array< std::string > &typeNames) |
| Retrieve all the typenames registered so far. More...
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template<class T > |
static void | getRegisteredObjectsOfGivenType (ArrayPtrs< T > &rArray) |
| Return an array of pointers to the default instances of all registered (concrete) Object types that derive from a given Object-derived type that does not have to be concrete. More...
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static bool | PrintPropertyInfo (std::ostream &os, const std::string &classNameDotPropertyName, bool printFlagInfo=true) |
| Dump formatted property information to a given output stream, useful for creating a "help" facility for registered objects. More...
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static bool | PrintPropertyInfo (std::ostream &os, const std::string &className, const std::string &propertyName, bool printFlagInfo=true) |
| Same as the other signature but the class name and property name are provided as two separate strings. More...
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static Object * | makeObjectFromFile (const std::string &fileName) |
| Create an OpenSim object whose type is based on the tag at the root node of the XML file passed in. More...
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static const std::string & | getClassName () |
| Return the name of this class as a string; i.e., "Object". More...
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static void | setSerializeAllDefaults (bool shouldSerializeDefaults) |
| Static function to control whether all registered objects and their properties are written to the defaults section of output files rather than only those values for which the default was explicitly overwritten when read in from an input file or set programmatically. More...
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static bool | getSerializeAllDefaults () |
| Report the value of the "serialize all defaults" flag. More...
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static bool | isKindOf (const char *type) |
| Returns true if the passed-in string is "Object"; each Object-derived class defines a method of this name for its own class name. More...
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static void | setDebugLevel (int newLevel) |
| Set the amount of logging output. More...
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static int | getDebugLevel () |
| Get the current setting of debug level. More...
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static Object * | SafeCopy (const Object *aObject) |
| Use the clone() method to duplicate the given object unless the pointer is null in which case null is returned. More...
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static void | RegisterType (const Object &defaultObject) |
| OBSOLETE alternate name for registerType(). More...
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static void | RenameType (const std::string &oldName, const std::string &newName) |
| OBSOLETE alternate name for renameType(). More...
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This class serves as a serializable FiberForceLengthCurve, commonly used to model the parallel elastic element in muscle models.
The fiber-force-length curve is dimensionless: force is normalized to maximum isometric force and length is normalized to resting fiber length. The user can adjust the maximum strain at no load and the strain developed under 1 normalized unit of force using the fitted curve. Additionally, if desired, it is possible to directly set the low-force stiffness of the fiber, the stiffness of the fiber at 1 normalized unit of force, and the shape of the curve (its 'curviness'):
Properties
strainAtZeroForce
The fiber strain at which the fiber starts to develop force. strainAtZeroForce = 0.0 means that the fiber will begin developing tension when it is at its resting length.
strainAtOneNormForce
The fiber strain at which the fiber develops 1 unit of normalized force. strainAtOneNormForce = 0.6 means that the fiber will develop a tension of 1 normalized force when it is strained by 60% of its resting length or, equivalently, when it is stretched to 1.6 times its resting length.
stiffnessAtLowForce
The normalized stiffness (slope of the curve) when the fiber is just beginning to develop tensile force.
stiffnessAtOneNormForce
The normalized stiffness (slope of the curve) when the fiber develops a tension of 1 normalized unit of force.
curviness
A dimensionless parameter between 0 and 1 that describes the shape of the curve: a value of 0 indicates a curve that is very close to a straight line segment and a value of 1 indicates a curve that smoothly fills the corner formed by the linear extrapolation of 'stiffnessAtOneNormForce' and the x-axis, as shown in the figure.
Note that we use the Cauchy or engineering definition of strain throughout: strain = (l-l0)/l0, where l is the current fiber length and l0 is its resting length.
Required Properties
strainAtZeroForce
strainAtOneNormForce
Optional Properties
stiffnessAtLowForce
stiffnessAtOneNormForce
curviness
Conditions
strainAtZeroForce < strainAtOneNormForce
stiffnessAtOneNormForce > 1/(strainAtOneNormForce-strainAtZeroForce)
0 < stiffnessAtLowForce < stiffnessAtOneNormForce
0 <= curviness <= 1
The required parameters can be set using either the constructor or the setCurveStrains function; the optional parameters can be set using the setOptionalProperties function. Note that filling in one optional parameter but not the others will throw an exception when the curve is built. The optional parameters can be used to vary the shape of the curve from a close approximation of a line to a sharply-bent curve.
The advantage of this curve over the typical exponential curve used in the literature is that it is continuous to the second derivative; the usual linearly-extrapolated exponential curve is only C0-continuous. The improved smoothness of this curve makes the equations somewhat easier to simulate and, more importantly, permits the use of derivative-based numerical methods on the curve. In addition, the extra parameters in this curve formulation can be adjusted to match a wide variety of shapes, should it be desired to fit the curve to a different set of experimental data.
Default Parameter Values
If the optional parameters are not specified, the curve is fit to the experimentally measured fiber-force-length curves of Winters et al. (2010, Fig. 3a).
strainAtZeroForce .......... 0.0
strainAtOneNormForce ....... 0.7
stiffnessAtLowForce ........ 0.2
stiffnessAtOneNormForce .... 2.0 / (strainAtOneNormForce-strainAtZeroForce) = 2.86
curviness .................. 0.75
Example
fpeCurve1.setCurveStrains(0.0, 0.7);
double fpeVal1 = fpeCurve1.calcValue(0.1);
double fpeVal2 = fpeCurve2.calcValue(0.02);
double dfpeVal2 = fpeCurve2.calcDerivative(0.02, 1);
Note that this object should be updated through the set methods provided. These set methods will take care of rebuilding the curve correctly. If you modify the properties directly, the curve will not be rebuilt, and upon calling a function like calcValue, calcDerivative, or printCurveToCSVFile, an exception will be thrown because the curve is out-of-date with its properties.
References
- Thelen, D.G. (2003) Adjustment of muscle mechanics model parameters to simulate dynamic contractions in older adults. ASME Journal of Biomechanical Engineering 125:70–77.
- Winters, T.M., Takahashi, M., Lieber, R.L., and Ward, S. (2010) Whole muscle length-tension relationships are accurately modeled as scaled sarcomeres in rabbit hindlimb muscles. Journal of Biomechanics 44:109–115.
- Author
- Matt Millard