From bc472195808dc6c8030dffab795cc4d51d26900f Mon Sep 17 00:00:00 2001 From: Jacob Hilmar Adamsen Date: Wed, 23 Apr 2025 08:37:21 +0200 Subject: [PATCH 1/5] Updates to Muscle Modeling Tutorial --- Muscle_modeling/intro.md | 22 +++-- Muscle_modeling/lesson1.md | 51 ++++++++---- Muscle_modeling/lesson2.md | 20 ++++- Muscle_modeling/lesson3.md | 15 +++- Muscle_modeling/lesson4.md | 25 ++++-- Muscle_modeling/lesson5.md | 165 +++++++++++++++++++++++++++++-------- Muscle_modeling/lesson6.md | 43 +++++++--- Muscle_modeling/lesson7.md | 50 ++++++++--- 8 files changed, 294 insertions(+), 97 deletions(-) diff --git a/Muscle_modeling/intro.md b/Muscle_modeling/intro.md index dc0c5b93..54d65023 100644 --- a/Muscle_modeling/intro.md +++ b/Muscle_modeling/intro.md @@ -3,7 +3,11 @@ # Introduction to Muscle Modeling -![Muscles back](_static/intro/image1.jpeg) +```{image} _static/intro/image1.png +:alt: Muscles back +:align: center +:width: 50% +``` Muscles are the actuators of living bodies. They are activated by the central nervous system (CNS) by a complicated electro-chemical process. @@ -15,14 +19,14 @@ the user to the necessary muscle forces in a process known as inverse dynamics. To do so, the system must know the properties of the muscles involved, and this is where muscle modeling comes into the picture. -AnyBody contains four different muscle models ranging from simple to -more complicated physiological behavior. The simplest model just assumes -a constant strength of the muscle regardless of its working conditions. -The more complicated models take such conditions as current length, -contraction velocity, fiber length, pennation angle, tendon elasticity, -and stiffness of passive tissues into account. Please refer to the -AnyScript Reference Manual (Find it in AnyBody->Help) for concise -information about the available muscle models: +AnyBody contains four different muscle models ranging from simple to more +complicated physiological behavior. The simplest model just assumes a constant +strength of the muscle regardless of its working conditions. The more +complicated models take such conditions as current length, contraction velocity, +fiber length, pennation angle, tendon elasticity, and stiffness of passive +tissues into account. Please refer to the AnyScript Reference Manual (Find it in +AnyBody->Help->AnyScript Reference) for concise information about the available +muscle models: 1. AnyMuscleModel - assuming constant strength of the muscle 2. AnyMuscleModel3E - a three element model taking serial and parallel diff --git a/Muscle_modeling/lesson1.md b/Muscle_modeling/lesson1.md index bfdcc7e4..34df3916 100644 --- a/Muscle_modeling/lesson1.md +++ b/Muscle_modeling/lesson1.md @@ -73,7 +73,10 @@ Main = { When you load the model, open a model view window, and run the SetInitialConditions operation, you should get the following picture: -![simple model](_static/lesson1/image1.jpeg) +```{image} _static/lesson1/image1.jpeg +:alt: simple model +:align: center +``` The model has a driver, so you can run the kinematic analysis and see the movement. The arm flexes about the origin of the red reference @@ -95,7 +98,10 @@ If you pick the Classes tab in the right-hand side of the window, then you will get access to the class tree. Expand the tree as shown in the picture until you get to the AnyMuscleModel. -![class tree](_static/lesson1/image2.png) +```{image} _static/lesson1/image2.png +:alt: class tree +:align: center +``` Notice that this class has three derived classes. These are more advanced muscle models, and we shall get to those later. However for the @@ -185,23 +191,26 @@ Place the cursor right after the end brace of the musle model, right-click the AnyMuscleViaPoint class in the tree, and insert an instance of it: -![class tree AnyMuscleViaPoint](_static/lesson1/image3.png) +```{image} _static/lesson1/image3.png +:alt: class tree AnyMuscleViaPoint +:align: center +``` ```AnyScriptDoc AnyMuscleModel SimpleModel = { -      F0 = 100; - //Lf0 = 0; - //Vol0 = 0; -   }; - - § AnyMuscleViaPoint = { - //RefFrames = ; - //Surfaces = ; - AnyMuscleModel & = ; - AnyRefFrame & = ; - AnyRefFrame & = ; - //AnyRefFrame & = ; You can make any number of these objects! - };§ +   F0 = 100; + //Lf0 = 0; + //Vol0 = 0; +}; + +§ AnyMuscleViaPoint = { + //RefFrames = ; + //Surfaces = ; + AnyMuscleModel & = ; + AnyRefFrame & = ; + AnyRefFrame & = ; + //AnyRefFrame & = ; You can make any number of these objects! + };§ ``` Let us start by filling out what we can and removing what we have no use @@ -265,13 +274,19 @@ window unless you specifically ask for it. When you load the model and run the SetInitialConditions study you will get the following picture (if your model does not load, and you cannot find the error, {download}`clickhere to download a model that works `): -![simple model with muscle](_static/lesson1/image4.jpeg) +```{image} _static/lesson1/image4.jpeg +:alt: simple model with muscle +:align: center +``` Notice that the muscle is now able to balance the gravity, and we are able to run the InverseDynamicAnalysis. If you try it out and subsequently open a chart view, you are able to plot the muscle force: -![muscle force](_static/lesson1/image5.png) +```{image} _static/lesson1/image5.png +:alt: muscle force +:align: center +``` The muscle force is the item Fm in the list of properties you can plot for a muscle. As you can see, lots of other properties are available, diff --git a/Muscle_modeling/lesson2.md b/Muscle_modeling/lesson2.md index 29fc7de1..734c71c6 100644 --- a/Muscle_modeling/lesson2.md +++ b/Muscle_modeling/lesson2.md @@ -14,13 +14,19 @@ AnyDrawMuscle drw = {}; It obviously does not contain much, so every setting is at its default value leading to the following display of the muscle: -![simple model with muscle](_static/lesson2/image1.jpeg) +```{image} _static/lesson2/image1.jpeg +:alt: simple model with muscle +:align: center +``` Let us play around with the settings a bit. An easy way to display all the settings is to discard our manually defined AnyDrawMuscle object and insert a template from the class tree instead: -![class tree AnyDrawMuscle](_static/lesson2/image2.gif) +```{image} _static/lesson2/image2.gif +:alt: class tree AnyDrawMuscle +:align: center +``` Erase the previous AnyDrawMuscle, right-click the AnyDrawMuscle in the tree view, and insert an instance: @@ -130,7 +136,10 @@ how the muscle force goes up drastically with the reduced moment arm: Consequently the muscle now bulges more towards the end of the movement than it does in the beginning: -![Chart view Muscle1.Fm](_static/lesson2/image3.gif) +```{image} _static/lesson2/image3.gif +:alt: Chart view Muscle1.Fm +:align: center +``` The muscle thickness does not have to reflect force. Choosing other values for the Bulging property will give other results: @@ -162,7 +171,10 @@ AnyDrawMuscle drw = { When you reload and run the InverseDynamicAnalysis, you will notice that the red shade of the muscle changes as its activity grows: -![Simple model two positions](_static/lesson2/image4.jpeg) +```{image} _static/lesson2/image4.jpeg +:alt: Simple model two positions +:align: center +``` When the activity is zero, the color defaults to a rather pale red. You can control this "initial" value of the scaled color through the diff --git a/Muscle_modeling/lesson3.md b/Muscle_modeling/lesson3.md index 82b2c43d..63a07487 100644 --- a/Muscle_modeling/lesson3.md +++ b/Muscle_modeling/lesson3.md @@ -24,12 +24,18 @@ Anatomically, via point muscles are mostly found in the lower extremities and in the spine, while the arms and shoulders almost exclusively have wrapping muscles. -![Old leg Muscle wrapping](_static/lesson3/image1.jpeg) +```{image} _static/lesson3/image1.jpeg +:alt: Old leg Muscle wrapping +:align: center +``` *Most muscles in the legs can be modeled reasonably with via point muscles.* -![Deltoid muscles](_static/lesson3/image2.jpeg) +```{image} _static/lesson3/image2.jpeg +:alt: Deltoid muscles +:align: center +``` *The deltoid muscle wraps over the head of the humerus.* @@ -125,7 +131,10 @@ AnyMuscleViaPoint Muscle1 = { The figure below shows the result: -![Simpel model with via point muscle](_static/lesson3/image3.jpeg) +```{image} _static/lesson3/image3.jpeg +:alt: Simple model with via point muscle +:align: center +``` A muscle can pass through an unlimited number of via points, and the points can be attached to different segments. This can be used to create diff --git a/Muscle_modeling/lesson4.md b/Muscle_modeling/lesson4.md index 997b41ab..62719ba0 100644 --- a/Muscle_modeling/lesson4.md +++ b/Muscle_modeling/lesson4.md @@ -83,7 +83,10 @@ insertion point of the cylinder is at {0, 0, 0.2} corresponding exactly to half of the length of the cylinder of 0.4. This causes the cylinder to be inserted symmetrically about the xy plane as illustrated below: -![wrapcylinder](_static/lesson4/image1.jpeg) +```{image} _static/lesson4/image1.jpeg +:alt: Wrap cylinder +:align: center +``` The cylinder direction is always z in the coordinate direction of the object that the cylinder is inserted into. So, if the cylinder does not @@ -109,7 +112,10 @@ AnyRefNode CylCenter = {  Which causes the cylinder to rotate 20 degrees about the y axis. -![wrap cylinder rotated](_static/lesson4/image2.jpeg) +```{image} _static/lesson4/image2.jpeg +:alt: Wrap cylinder rotated +:align: center +``` There are a couple of things to notice about the cylinder: First of all the graphics looks like the cylinder is faceted. This is not really the @@ -242,7 +248,10 @@ It is time to see what we have done. If you load the model and run the InverseDynamics analysis (and have done everything right), you will see the model moving through a sequence of positions like this: -![wrap cylinder with via point sequence](_static/lesson4/image3.jpeg) +```{image} _static/lesson4/image3.jpeg +:alt: Wrap cylinder with via point sequence +:align: center +``` As mentioned above, wrapping muscles can also have via points. In fact, we can easily change the via point muscle, Muscle1,  to wrap over the @@ -269,7 +278,10 @@ to change the type from AnyMuscleViaPoint to AnyMuscleShortestPath and insert the wrapping surface and the StringMesh specification. This gives us the following result: -![wrap cylinder two muscles](_static/lesson4/image4.jpeg) +```{image} _static/lesson4/image4.jpeg +:alt: Wrap cylinder two muscles +:align: center +``` As you can see, both muscles are now wrapping over the cylinder, and we can run the InverseDynamics analysis. It seems to work, but the system @@ -339,7 +351,10 @@ Step button rather than the run button. This will show you how the system uses the InitWrapVectors to pull the muscle to the other side of the cylinder: -![wrap cylinder Init wrap vectors](_static/lesson4/image5.jpeg) +```{image} _static/lesson4/image5.jpeg +:alt: Wrap cylinder Init wrap vectors +:align: center +``` If you keep pressing the step button you will see how the muscle now wraps on the other side of the cylinder. diff --git a/Muscle_modeling/lesson5.md b/Muscle_modeling/lesson5.md index bcbcbc09..41035d55 100644 --- a/Muscle_modeling/lesson5.md +++ b/Muscle_modeling/lesson5.md @@ -45,29 +45,82 @@ to go with a simpler model where the approximations are clear. Furthermore, more complex models need access to reliable source of data for their parameters, and they also need fairly costly calibration steps to improve accuracy. -The following introduces the muscle models available in AnyBody. The simple (**AnyMuscleModel**) and the three-element (**AnyMuscleModel3E**) muscle models are the most commonly used ones in the AMMR, whereas the two-element (**AnyMuscleModel2ELin**) and the custom user-defined (**AnyMuscleModelUsr1**) models provide users with even more freedom to test, learn and benchmark muscle-tendon units. - -- `AnyMuscleModel`: This is the simplest conceivable muscle model, and it is the one we have used in the preceding lessons of this tutorial. The only required input to the model is the muscle's presumed isometric strength, F0, i.e. the force that the muscle can exert in a static condition at its optimal length. F0 is often believed to be proportional to the physiological cross sectional area of the muscle, and it is possible to find that dimension for most significant muscles in the human body from cadaver studies reported in the scientific literature. It is important to stress that the strength of this muscle model is independent of the muscle's current length and contraction velocity. It is known for a fact that muscles do not behave that way, but for models with moderate contraction velocities and small joint angle variations even this simple model will work reasonably well. Such has been shown to be the case for bicycling and gait. This model has a lesser need for calibration steps, which makes it beneficial to save effort while just preparing preliminary results for instance in a model ptorotyping phase. -- `AnyMuscleModel3E`: This is a full-blown Hill model that takes parallel passive elasticity of the muscle, serial elasticity of the tendon, pennation angle of the fibers, and many other properties into account. The concepts for this model are adopted from [^cite_zajac_1989]. This model requires several physiological parameters that may be difficult to get or estimate for a particular muscle in a particular individual. Moreover, it applies non-linear force-length and force-velocity relationships, which means that the muscle vary strength depending on the length and contraction velocity. It also means and can loose its strength entirely and this calls for calibration of muscle parameters for each indivudualized model to match the muscle's working range to actual working range of the skeleton. -- `AnyMuscleModel2ELin`: This model is simpler multi-element model than the three-element model. It presumes that the muscle strength is proportional to its current length and contraction velocity. This means that the muscle gets weaker when its length decreases or the contraction velocity increases. In other words, the muscle strength is bilinear in the length and velocity space. The model also presumes that the tendon is linearly elastic and as such contains two elements: A contractile element (the muscle), and a serial-elastic element (the tendon). The rationale behind this model is that a muscle has a certain passive elasticity built into it. If the muscle it stretched far enough, the passive elasticity will build up force and reduce the necessity for active muscle force. This is in some cases equivalent to an increase of the muscle's strength. Notice, however, that this model has the significant drawback that the force can be switched off even if the muscle is stretched very far, while the true passive elasticity will always provide a force when it is stretched. While this model is simpler than the three-element model, it does not provide a more efficient workflow because calibration is typically also needed for this model. Therefore, this model is used less frequently for real applications, because it will be natural to consider the two previously described models when choosing will be between simplicity and accuracy. -- `AnyMuscleModelUsr1`: This is a custom user-defined muscle model. The user is free to define the strength of the muscle as any explicit expression of muscle variables (e.g. isometric strength (F0), volume(Vol0) or PCSA, fiber length (Lf0)), kinematic measures (e.g. actual fiber length and velocity), and even time. This freedom implies that it is also the user's task to make the most reasonable relationship to muscle and kinematic parameters for instance to include when such paarmeters are affected by model scaling and calibration. - -In the remainder of this lesson we shall experiment with the consequences -of the different muscle models and muscle model calibration. -The AnyScript model from the previous lesson will suffice very nicely. -You can download a functional version -of the model here: {download}`MuscleDemo.5.any`. +The following introduces the muscle models available in AnyBody. The simple +(**AnyMuscleModel**) and the three-element (**AnyMuscleModel3E**) muscle models +are the most commonly used ones in the AMMR, whereas the two-element +(**AnyMuscleModel2ELin**) and the custom user-defined (**AnyMuscleModelUsr1**) +models provide users with even more freedom to test, learn and benchmark +muscle-tendon units. + +- `AnyMuscleModel`: This is the simplest conceivable muscle model, and it is the + one we have used in the preceding lessons of this tutorial. The only required + input to the model is the muscle's presumed isometric strength, F0, i.e. the + force that the muscle can exert in a static condition at its optimal length. + F0 is often believed to be proportional to the physiological cross sectional + area of the muscle, and it is possible to find that dimension for most + significant muscles in the human body from cadaver studies reported in the + scientific literature. It is important to stress that the strength of this + muscle model is independent of the muscle's current length and contraction + velocity. It is known for a fact that muscles do not behave that way, but for + models with moderate contraction velocities and small joint angle variations + even this simple model will work reasonably well. Such has been shown to be + the case for bicycling and gait. This model has a lesser need for calibration + steps, which makes it beneficial to save effort while just preparing + preliminary results for instance in a model prototyping phase. +- `AnyMuscleModel3E`: This is a full-blown Hill model that takes parallel + passive elasticity of the muscle, serial elasticity of the tendon, pennation + angle of the fibers, and many other properties into account. The concepts for + this model are adopted from [^cite_zajac_1989]. This model requires several + physiological parameters that may be difficult to get or estimate for a + particular muscle in a particular individual. Moreover, it applies non-linear + force-length and force-velocity relationships, which means that the muscle + vary strength depending on the length and contraction velocity. It also means + and can loose its strength entirely and this calls for calibration of muscle + parameters for each individualized model to match the muscle's working range + to actual working range of the skeleton. +- `AnyMuscleModel2ELin`: This model is simpler multi-element model than the + three-element model. It presumes that the muscle strength is proportional to + its current length and contraction velocity. This means that the muscle gets + weaker when its length decreases or the contraction velocity increases. In + other words, the muscle strength is bilinear in the length and velocity space. + The model also presumes that the tendon is linearly elastic and as such + contains two elements: A contractile element (the muscle), and a + serial-elastic element (the tendon). The rationale behind this model is that a + muscle has a certain passive elasticity built into it. If the muscle is + stretched far enough, the passive elasticity will build up force and reduce + the necessity for active muscle force. This is in some cases equivalent to an + increase of the muscle's strength. Notice, however, that this model has the + significant drawback that the force can be switched off even if the muscle is + stretched very far, while the true passive elasticity will always provide a + force when it is stretched. While this model is simpler than the three-element + model, it does not provide a more efficient workflow because calibration is + typically also needed for this model. Therefore, this model is used less + frequently for real applications, because it will be natural to consider the + two previously described models when choosing will be between simplicity and + accuracy. +- `AnyMuscleModelUsr1`: This is a custom user-defined muscle model. The user is + free to define the strength of the muscle as any explicit expression of muscle + variables (e.g. isometric strength (F0), volume(Vol0) or PCSA, fiber length + (Lf0)), kinematic measures (e.g. actual fiber length and velocity), and even + time. This freedom implies that it is also the user's task to make the most + reasonable relationship to muscle and kinematic parameters for instance to + include when such parameters are affected by model scaling and calibration. + +In the remainder of this lesson we shall experiment with the consequences of the +different muscle models and muscle model calibration. The AnyScript model from +the previous lesson will suffice very nicely. You can download a functional +version of the model here: +{download}`MuscleDemo.5.any`. ## AnyMuscleModel2ELin -Right-click and save the file to your local disk, and subsequently open -the model in the AnyBody Modeling System. We have already seen the -consequences of using the simple muscle model, so we shall proceed -directly to the two-element muscle, the AnyMuscleModel2ELin. Let us -define such a muscle model. If you click the Classes tab in the tree -view left of the edit window, expand the class tree, right-click the -AnyMuscleModel2ELin class, and insert a template, you will obtain the -following: +Right-click and save the file to your local disk, and subsequently open the +model in the AnyBody Modeling System. We have already seen the consequences of +using the simple muscle model, so we shall proceed directly to the two-element +muscle, the AnyMuscleModel2ELin. Let us define such a muscle model. If you click +the Classes tab in the tree view left of the edit window, expand the class tree, +right-click the AnyMuscleModel2ELin class, and insert a template, you will +obtain the following: ```AnyScriptDoc AnyMuscleModel SimpleModel = { @@ -184,7 +237,10 @@ plot several properties simultaneously in the Chart View by use of an asterix in the variable specification field at the top of the window like this: -![chart view: muscle1.L](_static/lesson5/image2.png) +```{image} _static/lesson5/image2.png +:alt: chart view: muscle1.L +:align: center +``` Now we can compare the variation of Lm and Lmdot to our settings of Lf0 and V0. Lm seems to vary between approximately 0.31 and 0.15. With @@ -196,7 +252,10 @@ to have much effect. We can investigate the effect very easily simply by clicking the Strength property of the muscle and obtain the following graph: -![muscle strength plot](_static/lesson5/image3.png) +```{image} _static/lesson5/image3.png +:alt: muscle strength plot +:align: center +``` The strength does indeed decrease drastically from around 200 N to almost nothing as we expected when the muscle contracts. @@ -204,7 +263,10 @@ almost nothing as we expected when the muscle contracts. Now that we have muscle data available, let us briefly review the parameters presented in the Chart View: -![Muscle parameters](_static/lesson5/image4.png) +```{image} _static/lesson5/image4.png +:alt: Muscle parameters +:align: center +``` @@ -240,7 +302,7 @@ widths: 3 10 - The contraction velocity of the contractile element. * - `Activity` - - The muscle active state in fractions of maxmum + - The muscle active state in fractions of maximum voluntary contraction. * - `CorrectedActivity` @@ -322,7 +384,10 @@ in the beginning of the simulation. This, this decreases the strength of the muscle significantly as we can see by reloading, rerunning and plotting the Strength variable again: -![muscle strength plot, v0=-0.3](_static/lesson5/image5.png) +```{image} _static/lesson5/image5.png +:alt: muscle strength plot, v0=-0.3 +:align: center +``` Instead of being monotonically decreasing, the muscle strength now improves slightly in the initial part of the simulation, but it is all @@ -361,7 +426,10 @@ significant compared to the nominal muscle fiber length of Lf0 = 0.3 m. Reducing the length of the tendon increases the length and thereby the strength of the muscle: -![muscle strength plot, Lt0= 0.3](_static/lesson5/image6.png) +```{image} _static/lesson5/image6.png +:alt: muscle strength plot, Lt0= 0.3 +:align: center +``` The interdependency between the stretch of the tendon, the length of the muscle, and the strength of the muscle is the origin of another @@ -374,7 +442,10 @@ which causes the tendon to stretch. But before we change anything, let us just notice that the variation of muscle length, Lm, over the movement in the absence of an external load is as shown below: -![Lm plot, no external load](_static/lesson5/image7.png) +```{image} _static/lesson5/image7.png +:alt: Lm plot, no external load +:align: center +``` Definition of an external force requires two new elements in the model: The force itself and a new node on the arm, which we shall call hand, to @@ -414,7 +485,10 @@ changes its moment arm from positive to negative a shortly after the midpoint of the analysis. This causes the muscle length to vary in the following fashion: -![Muscle length plot](_static/lesson5/image8.png) +```{image} _static/lesson5/image8.png +:alt: Muscle length plot +:align: center +``` The interesting point here is that with the long tendon and the high load, the muscle no longer contracts uniformly. @@ -466,7 +540,10 @@ because it has the following components: 3. A parallel-elastic element (PE) representing the passive stiffness of the muscle fibers. -![muscle model](_static/lesson5/image9.png) +```{image} _static/lesson5/image9.png +:alt: muscle model +:align: center +``` The figure above is a schematic representation of the muscle model. We can get a complete impression of the parameters of the model if we pick @@ -601,7 +678,10 @@ activate it. But the muscle is not without force. The property Fp, which is the force in the parallel-elastic element of the muscle has the following behavior: -![Force parallel elastic element](_static/lesson5/image10.png) +```{image} _static/lesson5/image10.png +:alt: Force parallel elastic element +:align: center +``` In the initial phase of the movement, the parallel-elastic element is slack and adds no force to the muscle. But as the muscle gets extended, @@ -612,7 +692,10 @@ passive force has another interesting effect, which we can see if we chart the property Lt, i.e. the length of the tendon (Notice that we have changed the scale of the ordinate axis): -![Tendon length plot](_static/lesson5/image11.png) +```{image} _static/lesson5/image11.png +:alt: Tendon length plot +:align: center +``` From the time the passive force sets in, the tendon starts to elongate a little bit. @@ -821,14 +904,20 @@ A brief experiment with our model can reveal where the difficulty lies. In the model we have just investigated, the activity of Muscle2 has the following development over the movement: -![Calibration. Lt0 plot](_static/lesson5/image31.png) +```{image} _static/lesson5/image31.png +:alt: Calibration. Lt0 plot +:align: center +``` But what would happen if our guess of tendon length, Lt0, in the muscle model definition was just slightly off the correct value? Well if we change the current value from 0.5 m to 0.45 m, i.e. a reduction of 10%, we get the following activity: -![Calibration Activity plot](_static/lesson5/image32.png) +```{image} _static/lesson5/image32.png +:alt: Calibration Activity plot +:align: center +``` Not only is the shape of the graph different, the maximum activity is also significantly higher. An error of 10% in anthropometric @@ -891,12 +980,18 @@ The muscle properties have been updated. Try running the InverseDynamics again and plot the Activity of Muscle2. You should see the following: -![Cheap n dirty calibration, Activity plot](_static/lesson5/image33.png) +```{image} _static/lesson5/image33.png +:alt: Cheap n dirty calibration, Activity plot +:align: center +``` As you can see, this is again very different from what we have seen before. Plotting the strength will reveal what has happened: -![Cheap n dirty calibration, activity plot](_static/lesson5/image34.png) +```{image} _static/lesson5/image34.png +:alt: Cheap n dirty calibration, activity plot2 +:align: center +``` What FiberAndTendonAdjustment does is to run through the specified movement and compute the variation of the origin-insertion length of the diff --git a/Muscle_modeling/lesson6.md b/Muscle_modeling/lesson6.md index 04c06391..8187cbb6 100644 --- a/Muscle_modeling/lesson6.md +++ b/Muscle_modeling/lesson6.md @@ -68,8 +68,10 @@ segments - an upper arm and a forearm. It's attached to the global reference frame at the shoulder and has a 100 N vertical load acting downwards at the hand. - -![Arm 2D](_static/lesson6/image1.jpeg) +```{image} _static/lesson6/image1.jpeg +:alt: Arm 2D +:align: center +``` Currently, the model can't perform an inverse dynamics analysis because it lacks muscles. If you try to run the InverseDynamics operation, you'll see an error @@ -146,7 +148,8 @@ The empty fields in the muscle model must be filled in: ```AnyScriptDoc AnyMuscleModel §MusModel§ = { §F0 = 100.0;§ -};``` +}; +``` Note that the simple muscle model class has the optional memebers (parameters) of `Lf0` and `Vol0` that are usually left out for use with `AnyMuscleGeneric`. @@ -238,8 +241,10 @@ Chart View. Look up the two joint torques as the Fm property of the general muscles. You can plot both of them at the same time using an asterisk (`*`), as shown below: - -![Chart view, Torques](_static/lesson6/image2.png) +```{image} _static/lesson6/image2.png +:alt: Chart view, Torques +:align: center +``` In this example, we used the same strength (muscle model) for both joints. But in reality, maximum joint torque varies a lot. For example, knee extension @@ -283,8 +288,10 @@ there's a high limit in compression against a supporting surface, a smaller limit for friction, and no reaction in tension. This is similar to how muscles work, and these conditions affect the entire system's mechanics. - -![Simple arm wall](_static/lesson6/image3.png) +```{image} _static/lesson6/image3.png +:alt: Simple arm wall +:align: center +``` We'll make some changes to the simple arm model to explore contact in more detail. Let's imagine that the model's hand has a vertical wall for support. We @@ -361,8 +368,10 @@ gravity and the applied load of 100 N are both vertical. You might think that a horizontal support wouldn't make much of a difference. But let's test this by turning on the horizontal support of the driver. - -![no reaction MaxMuscleActivity plot](_static/lesson6/image4.gif) +```{image} _static/lesson6/image4.gif +:alt: no reaction MaxMuscleActivity plot +:align: center +``` The muscle activity stays fairly constant. This is because the moment arms are also constant. Both the gravity and the applied load of 100 N are vertical. You @@ -376,7 +385,10 @@ Reaction.Type = {§On§, Off}; This shows that mechanics can be more complex than expected. Even this simple mechanical system behaves differently from what we might anticipate: -![Full reaction MaxMuscleActivity plot](_static/lesson6/image5.gif) +```{image} _static/lesson6/image5.gif +:alt: Full reaction MaxMuscleActivity plot +:align: center +``` You'll see that the muscle activity is much lower at the start of the movement when the reaction is on, and it's similar towards the end of the movement. It @@ -420,8 +432,10 @@ When you run the `InverseDynamics` operation again and plot the two joint torques, you'll see the following graph. You can plot them simultaneously with the specification line `Main.ArmStudy.Output.Model.*Torque.Fm`: - -![Joint torques plot](_static/lesson6/image6.gif) +```{image} _static/lesson6/image6.gif +:alt: Joint torques plot +:align: center +``` The red curve represents the shoulder joint torque, and the green curve represents the elbow torque. Notice that the envelope of these two curves is @@ -451,7 +465,10 @@ AnyRecruitedActuator WallReaction = { When you run the model again and look at the same graphs, you'll see this: -![Joint torques plot 2](_static/lesson6/image7.gif) +```{image} _static/lesson6/image7.gif +:alt: Joint torques plot 2 +:align: center +``` The wall is helpful in the initial stages of the movement. The torque generated by the reaction force benefits both joints. In the later stages, the wall diff --git a/Muscle_modeling/lesson7.md b/Muscle_modeling/lesson7.md index 70bedc3d..aa504640 100644 --- a/Muscle_modeling/lesson7.md +++ b/Muscle_modeling/lesson7.md @@ -14,7 +14,10 @@ model {download}`Demo.Ligament.any `. Once you have stored it on your hard disk, load it into the AnyBody Modeling System and run the InitialConditions operation. -![Demo.Ligaments](_static/lesson7/image1.png) +```{image} _static/lesson7/image1.png +:alt: Demo.Ligaments +:align: center +``` As you can see, the model is very simple. The blue structure is an "arm" that extends from the center of the yellow Ground reference frame. It is @@ -24,7 +27,10 @@ Try running the InverseDynamics operation. You will see the arm move, and you can subsequently open a Chart View to investigate the results: -![Chart view Model.Lig.Fin](_static/lesson7/image2.gif) +```{image} _static/lesson7/image2.gif +:alt: Chart view Model.Lig.Fin +:align: center +``` As you can see, the ligament force builds up from nothing to about -2000 N as it is stretched. The value is negative by convention because it @@ -44,7 +50,10 @@ select instead of time the ligament length. Click the "Out" button, and the field containing the abscissa becomes white. You can now type LigStudy.Output.Model.Lig.Pos" in the abscissa field: -![Chart view Model.Lig.Fin 2](_static/lesson7/image3.gif) +```{image} _static/lesson7/image3.gif +:alt: Chart view Model.Lig.Fin 2 +:align: center +``` That's better. Now the elasticity of the ligament is completely linear over the slack length. Let us take a look at the definition of the @@ -112,7 +121,10 @@ F1 = 1000; // Force in the ligament at strain eps1 Subsequently reload the model, run InverseDynamics, and plot the ligament force again. You will see the following: -![Chart view Model.Lig.Fin 3](_static/lesson7/image5.gif) +```{image} _static/lesson7/image5.gif +:alt: Chart view Model.Lig.Fin 3 +:align: center +``` The specification has created a continuous slope of 0 where the curve previously had a kink. Notice that the curve converges back to the @@ -131,7 +143,10 @@ a0 = 0.§5§; then you get something in between, as the following curve: -![Model.Lig.Fin plot 2](_static/lesson7/image6.png) +```{image} _static/lesson7/image6.png +:alt: Model.Lig.Fin plot 2 +:align: center +``` The significance of a1 is much the same, except it has its effect at the point (eps1,F1) rather than at (L0,0). If, for instance you insert @@ -148,13 +163,19 @@ a0 = 0.5; then you will get a curve that attains zero slope at (eps1,F1): -![Model.Lig.Fin zero slope](_static/lesson7/image7.png) +```{image} _static/lesson7/image7.png +:alt: Model.Lig.Fin zero slope +:align: center +``` So, a1 = 0.0 corresponds to zero slope, and the default value of a1 = 1.0 corresponds to the slope given by the values of L0, eps1, and F1. You can similarly increase the slopes by increasing a1: -![Model.Lig.Fin plot different slopes](_static/lesson7/image8.png) +```{image} _static/lesson7/image8.png +:alt: Model.Lig.Fin plot different slopes +:align: center +``` Unlike normal fourth order polynomials, these curves will continue predictably with no oscillation for as long as desired after (eps1,F1). @@ -179,7 +200,10 @@ a1 = 1.0; }; ``` -![Ligrament plot, fourth order](_static/lesson7/image9.png) +```{image} _static/lesson7/image9.png +:alt: Ligament plot, fourth order +:align: center +``` Clearly, this causes the curve to diverge after (eps1,F1), which is typical for higher order polynomials. Unless you have some special reason @@ -223,7 +247,10 @@ Notice the driver in the study. It positions the joint at the angle of length. Try loading the model and then browse your way through the tree to the L0 property of the ligament model: -![Tree, LigModel.L0](_static/lesson7/image10.png) +```{image} _static/lesson7/image10.png +:alt: Tree, LigModel.L0 +:align: center +``` Double-click it, and its value is shown in the Object Description window. You should find a value of @@ -241,7 +268,10 @@ The system has extended the ligament length a bit to fit the joint angle of -pi/4. Run the InverseDynamics study again, and see the influence of the increased slack length: -![Ligament plot final](_static/lesson7/image11.png) +```{image} _static/lesson7/image11.png +:alt: Ligament plot final +:align: center +``` You can find the final version of the ligament demo file {download}`here `. 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# Muscle Modeling This tutorial introduces the many facilities for modeling muscles in the From 39c89837cbfe19197e1443cf1e55b0814030765a Mon Sep 17 00:00:00 2001 From: Jacob Hilmar Adamsen Date: Fri, 25 Apr 2025 12:08:40 +0200 Subject: [PATCH 4/5] Updates toMuscle Modeling - mostly images --- Muscle_modeling/_static/lesson1/image2.png | Bin 19682 -> 28113 bytes Muscle_modeling/_static/lesson1/image5.png | Bin 46891 -> 88901 bytes Muscle_modeling/_static/lesson2/image3.gif | Bin 47171 -> 62500 bytes Muscle_modeling/_static/lesson2/image4.jpeg | Bin 22302 -> 29086 bytes Muscle_modeling/_static/lesson3/image1.jpeg | Bin 18308 -> 18678 bytes Muscle_modeling/_static/lesson3/image2.jpeg | Bin 12862 -> 41149 bytes Muscle_modeling/_static/lesson3/image3.jpeg | Bin 11487 -> 25923 bytes Muscle_modeling/_static/lesson4/image1.jpeg | Bin 11889 -> 18083 bytes Muscle_modeling/_static/lesson4/image2.jpeg | Bin 10453 -> 17641 bytes Muscle_modeling/_static/lesson4/image3.jpeg | Bin 20949 -> 41804 bytes Muscle_modeling/_static/lesson4/image4.jpeg | Bin 12731 -> 17861 bytes Muscle_modeling/_static/lesson4/image5.jpeg | Bin 10220 -> 21814 bytes Muscle_modeling/_static/lesson5/image10.png | Bin 3081 -> 28872 bytes Muscle_modeling/_static/lesson5/image11.png | Bin 2617 -> 28757 bytes Muscle_modeling/_static/lesson5/image12.png | Bin 1720 -> 33902 bytes Muscle_modeling/_static/lesson5/image13.png | Bin 1848 -> 33591 bytes Muscle_modeling/_static/lesson5/image14.png | Bin 1667 -> 35794 bytes Muscle_modeling/_static/lesson5/image15.png | Bin 1723 -> 35112 bytes Muscle_modeling/_static/lesson5/image16.png | Bin 1798 -> 36904 bytes Muscle_modeling/_static/lesson5/image17.png | Bin 1838 -> 43871 bytes Muscle_modeling/_static/lesson5/image18.png | Bin 1862 -> 33438 bytes Muscle_modeling/_static/lesson5/image19.png | Bin 1863 -> 30888 bytes Muscle_modeling/_static/lesson5/image2.png | Bin 69213 -> 88265 bytes Muscle_modeling/_static/lesson5/image20.png | Bin 1802 -> 32038 bytes Muscle_modeling/_static/lesson5/image21.png | Bin 1881 -> 32512 bytes Muscle_modeling/_static/lesson5/image22.png | Bin 1803 -> 32628 bytes Muscle_modeling/_static/lesson5/image23.png | Bin 1884 -> 32458 bytes Muscle_modeling/_static/lesson5/image24.png | Bin 1795 -> 42449 bytes Muscle_modeling/_static/lesson5/image25.png | Bin 1714 -> 32012 bytes Muscle_modeling/_static/lesson5/image26.png | Bin 1767 -> 39870 bytes Muscle_modeling/_static/lesson5/image27.png | Bin 1821 -> 37089 bytes Muscle_modeling/_static/lesson5/image29.png | Bin 1851 -> 26609 bytes Muscle_modeling/_static/lesson5/image30.png | Bin 2208 -> 26145 bytes Muscle_modeling/_static/lesson5/image31.png | Bin 3387 -> 30064 bytes Muscle_modeling/_static/lesson5/image32.png | Bin 2990 -> 26454 bytes Muscle_modeling/_static/lesson5/image33.png | Bin 3092 -> 28309 bytes Muscle_modeling/_static/lesson5/image34.png | Bin 3158 -> 28284 bytes Muscle_modeling/_static/lesson5/image35.png | Bin 0 -> 26957 bytes Muscle_modeling/_static/lesson5/image5.png | Bin 20845 -> 33129 bytes Muscle_modeling/_static/lesson6/image2.png | Bin 148980 -> 83529 bytes Muscle_modeling/_static/lesson6/image4.gif | Bin 18858 -> 13685 bytes Muscle_modeling/_static/lesson6/image5.gif | Bin 19196 -> 12307 bytes Muscle_modeling/_static/lesson6/image6.gif | Bin 18879 -> 10065 bytes Muscle_modeling/_static/lesson6/image7.gif | Bin 20027 -> 9823 bytes Muscle_modeling/_static/lesson7/image1.png | Bin 3077 -> 9172 bytes Muscle_modeling/_static/lesson7/image10.png | Bin 2029 -> 21453 bytes Muscle_modeling/_static/lesson7/image11.png | Bin 3560 -> 24185 bytes Muscle_modeling/_static/lesson7/image2.gif | Bin 51165 -> 60645 bytes Muscle_modeling/_static/lesson7/image3.gif | Bin 50621 -> 62394 bytes Muscle_modeling/_static/lesson7/image5.gif | Bin 50669 -> 63891 bytes Muscle_modeling/_static/lesson7/image6.png | Bin 3252 -> 79861 bytes Muscle_modeling/_static/lesson7/image7.png | Bin 3012 -> 77955 bytes 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