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Moved testing suite to main tab
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Sarah-Kst committed Sep 1, 2021
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10 changes: 5 additions & 5 deletions docs/pages/FiberCpp/calculations/calculations.md
Original file line number Diff line number Diff line change
Expand Up @@ -46,19 +46,19 @@ where $K$ is a matrix containing the springs stiffness, $x$ is a vector containi
and numerical methods exist to solve +Kx=F+ for $x$.


## Crossbridge links
## Cross-bridge links

Myosin heads located at the thick filament nodes can attach to neighboring binding sites at the thin filament nodes, thus affecting the filament lattice framework.

<p align="center">
<img alt="cb_link" src="cb_link.png">
</p>

A crossbridge located at the $j^{th}$ thick filament node which attaches to the $i^{th}$ node of the thin filament generates a force $f_{cb}$ given by:
A cross-bridge located at the $j^{th}$ thick filament node which attaches to the $i^{th}$ node of the thin filament generates a force $f_{cb}$ given by:

++f_{cb} = k_{cb} \, (m_j - a_i + x_{ps})++

where $k_{cb}$ is the crossbridge spring stiffness and $x_{ps}$ is the crossbridge extension when deploying the power stroke.
where $k_{cb}$ is the cross-bridge spring stiffness and $x_{ps}$ is the crossbridge extension when deploying the power stroke.

This additional force on the filaments should be added to the force-balance equations :

Expand All @@ -74,7 +74,7 @@ The terms in red will add non-tridiagonal, opposite elements to the $K$ matrix:

while the blue terms will contribute to the $F$ vector.

Crossbridge linking toughens the numerical solving of +K x = F+, which notably requires an iterative procedure to find a solution $x$ that satisfies a certain precision.
Cross-bridge linking toughens the numerical solving of +K x = F+, which notably requires an iterative procedure to find a solution $x$ that satisfies a certain precision.

## Titin

Expand All @@ -94,7 +94,7 @@ Myosin Binding Protein C (MyBP-C) is a striated muscle contracting protein. It i
<img alt="MyBPC" src="c_zone.png">
</p>

This protein interacts both with myosin and actin and is a modulator of cardiac contractility. In the model, MyBPC can attach to an actin binding site and act as a "non-force-generating crossbridge link" (meaning it cannot undergo a power stroke). Such C-links contribute to the force-balance equations:
This protein interacts both with myosin and actin and is a modulator of cardiac contractility. In the model, MyBPC can attach to an actin binding site and act as a "non-force-generating cross-bridge link" (meaning it cannot undergo a power stroke). Such C-links contribute to the force-balance equations:

++f_{pc} = k_{pc} \, (m_j - a_i)++

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