From sarcomere to cell: an efficient algorithm for linking mathematical models of muscle contraction
✍ Scribed by Nicolas P. Smith
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 291 KB
- Volume
- 65
- Category
- Article
- ISSN
- 1522-9602
No coin nor oath required. For personal study only.
✦ Synopsis
S iso , T iso , E iso Cross-bridge stiffness, tension and energy at isometric equilibrium b Actin site spacing Normalized muscle spatial scale divided by the cross-bridge scale (x) ω Frequency of sinusoidal perturbation Y (ω) Complex modulus function relating stiffness to perturbation frequency ϑ Passive component of the complex modulus function θ i Characteristic time constant i of relaxation to isometric equilibrium i Magnitude of contribution to complex stiffness from characteristic relaxation rate θ i Q i Pseudo-macroscopic state i τ Time integration variable v(t) Contraction velocity a(t) Contraction acceleration r Parameter to identify the moment of the probability distribution M r i The r th moment of state i A i Area under the probability profile P i (x, t) of state i σ i Standard deviation of the probability profile P i (x, t) of state i µ i Mean of the probability profile P i (x, t) of state i γ First generic integral term used to determine M r i and temporal derivatives ϒ Second generic integral term used to determine M r i and temporal derivatives J r
The r th moment of the error function U
The matrix containing the partial derivatives used to calculate the Newton step v
The Newton step direction w
The right-hand side vector of the determination of the Newton step