Hill-Type Two-Muscle-One-Tendon ODE System

Available identifiers

WikidataQ10331394 ScholiaQ10331394MaRDI QIDQ6674387

system of ordinary differential equations describing passive and active muscle forces

Description

System of Ordinary Differential Equations describing passive and active muscle forces during movement on a macroscopic scale, derived by balancing the forces on the muscle ends.

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Defining Formula: $\begin{array}{cc}{m}_1{\ddot{x}}_1& =F_{\text{PTE}}(t)-F_{\text{ACE}1}(t)-F_{\text{PME}1}(t)\\ m_2{\ddot{x}}_2& =-F_{\text{PTE}}(t)+F_{\text{ACE}2}(t)-F_{\text{PME}2}(t)\end{array}$

$F_{\text{ACE}}$ symbol represents Active Contractile Force

$F_{\text{PME}}$ symbol represents Passive Muscle Force

$F_{\text{PTE}}$ symbol represents Passive Tendon Force

$m$ symbol represents Effective Mass (Spring-Mass System)

$t$ symbol represents Time

$x$ symbol represents Displacement Muscle Tendon

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Related URL

https://en.wikipedia.org/wiki/Hill%27s_muscle_model

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