### Abstract

Isometric force response curve by electrically stimulated skeletal muscle contraction of twitch is important in order to judge the ability of the skeletal muscle and to distinguish disease state. In this report, we introduce a new mathematical model of the isometric force response curve, in order to estimate the muscle contraction behavior accurately. The new mathematical model of force response curve was expressed by a difference of fundamental function which was expressed by products of a step response function and a logistic function. The mathematical model was applied to the force response curve by electrically stimulated muscle contraction of twitch, using the rat gastrocnemius muscle (GC), intermediate vastus muscle (VI) and soleus muscle (SOL). The results indicate new mathematical model showed better agreement with the force response curve of twitch than previous mathematical model in the rat skeletal muscle which has different muscle fiber type only changes the model parameters.

Original language | English |
---|---|

Pages (from-to) | 199-208 |

Number of pages | 10 |

Journal | Transactions of Japanese Society for Medical and Biological Engineering |

Volume | 47 |

Issue number | 2 |

Publication status | Published - 2009 |

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### Keywords

- Force-response curve
- Isometric twitch
- Logistic function
- Mathematical model
- Muscle contraction

### ASJC Scopus subject areas

- Biomedical Engineering

### Cite this

**New mathematical model of isometric twitch force-response curve by skeletal muscle contraction; Using extended hybrid logistic model.** / Kitawaki, Tomoki; Watanabe, Shogo; Oka, Hisao.

Research output: Contribution to journal › Article

*Transactions of Japanese Society for Medical and Biological Engineering*, vol. 47, no. 2, pp. 199-208.

}

TY - JOUR

T1 - New mathematical model of isometric twitch force-response curve by skeletal muscle contraction; Using extended hybrid logistic model

AU - Kitawaki, Tomoki

AU - Watanabe, Shogo

AU - Oka, Hisao

PY - 2009

Y1 - 2009

N2 - Isometric force response curve by electrically stimulated skeletal muscle contraction of twitch is important in order to judge the ability of the skeletal muscle and to distinguish disease state. In this report, we introduce a new mathematical model of the isometric force response curve, in order to estimate the muscle contraction behavior accurately. The new mathematical model of force response curve was expressed by a difference of fundamental function which was expressed by products of a step response function and a logistic function. The mathematical model was applied to the force response curve by electrically stimulated muscle contraction of twitch, using the rat gastrocnemius muscle (GC), intermediate vastus muscle (VI) and soleus muscle (SOL). The results indicate new mathematical model showed better agreement with the force response curve of twitch than previous mathematical model in the rat skeletal muscle which has different muscle fiber type only changes the model parameters.

AB - Isometric force response curve by electrically stimulated skeletal muscle contraction of twitch is important in order to judge the ability of the skeletal muscle and to distinguish disease state. In this report, we introduce a new mathematical model of the isometric force response curve, in order to estimate the muscle contraction behavior accurately. The new mathematical model of force response curve was expressed by a difference of fundamental function which was expressed by products of a step response function and a logistic function. The mathematical model was applied to the force response curve by electrically stimulated muscle contraction of twitch, using the rat gastrocnemius muscle (GC), intermediate vastus muscle (VI) and soleus muscle (SOL). The results indicate new mathematical model showed better agreement with the force response curve of twitch than previous mathematical model in the rat skeletal muscle which has different muscle fiber type only changes the model parameters.

KW - Force-response curve

KW - Isometric twitch

KW - Logistic function

KW - Mathematical model

KW - Muscle contraction

UR - http://www.scopus.com/inward/record.url?scp=74049136020&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=74049136020&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:74049136020

VL - 47

SP - 199

EP - 208

JO - BME = Bio medical engineering / henshu, Nihon ME Gakkai

JF - BME = Bio medical engineering / henshu, Nihon ME Gakkai

SN - 1347-443X

IS - 2

ER -