1. A chemo-mechanical model for the single myofibril in striated muscle contraction
- Author
-
Giovanni Naldi
- Subjects
0301 basic medicine ,Physics ,Partial differential equation ,Chemo mechanical ,Quantitative Biology::Tissues and Organs ,Mechanical Engineering ,Nanotechnology ,Striated muscle contraction ,Mechanics ,Condensed Matter Physics ,Sarcomere ,Quantitative Biology::Subcellular Processes ,03 medical and health sciences ,Nonlinear system ,030104 developmental biology ,0302 clinical medicine ,Mechanics of Materials ,ATP hydrolysis ,medicine ,medicine.symptom ,Myofibril ,030217 neurology & neurosurgery ,Muscle contraction - Abstract
Based on the framework of sliding-filament theory and on the cross-bridges dynamics, a mathematical model for the simulation of the force response and length change of individual myofibril is presented. The myofibril is modeled as a group of segments placed in series, each segment represents a half-sarcomere with active and elastic properties. A multiple-state cross-bridge formalism relates the half Sarcomere force to the chemical kinetics of ATP hydrolysis. The corresponding system of nonlinear nonlocal partial differential equations of the model is analyzed. A numerical approach is introduced and some numerical tests are performed. The proposed in-silico model enables the study of biologically relevant process in the muscle contraction process, also in the case of muscular diseases, with reasonable computational effort.
- Published
- 2017