scholarly journals A simple step size selection algorithm for ODE codes

1995 ◽  
Vol 58 (3) ◽  
pp. 345-354 ◽  
Author(s):  
L.F. Shampine ◽  
A. Witt
Author(s):  
Amirali Aghazadeh ◽  
Ali Ayremlou ◽  
Daniel D. Calderon ◽  
Tom Goldstein ◽  
Raajen Patel ◽  
...  

Open Biology ◽  
2018 ◽  
Vol 8 (4) ◽  
pp. 170240 ◽  
Author(s):  
Yihua Wang ◽  
Chen-Ching Yuan ◽  
Katarzyna Kazmierczak ◽  
Danuta Szczesna-Cordary ◽  
Thomas P. Burghardt

Myosin transduces ATP free energy into mechanical work in muscle. Cardiac muscle has dynamically wide-ranging power demands on the motor as the muscle changes modes in a heartbeat from relaxation, via auxotonic shortening, to isometric contraction. The cardiac power output modulation mechanism is explored in vitro by assessing single cardiac myosin step-size selection versus load. Transgenic mice express human ventricular essential light chain (ELC) in wild- type (WT), or hypertrophic cardiomyopathy-linked mutant forms, A57G or E143K, in a background of mouse α-cardiac myosin heavy chain. Ensemble motility and single myosin mechanical characteristics are consistent with an A57G that impairs ELC N-terminus actin binding and an E143K that impairs lever-arm stability, while both species down-shift average step-size with increasing load. Cardiac myosin in vivo down-shifts velocity/force ratio with increasing load by changed unitary step-size selections. Here, the loaded in vitro single myosin assay indicates quantitative complementarity with the in vivo mechanism. Both have two embedded regulatory transitions, one inhibiting ADP release and a second novel mechanism inhibiting actin detachment via strain on the actin-bound ELC N-terminus. Competing regulators filter unitary step-size selection to control force-velocity modulation without myosin integration into muscle. Cardiac myosin is muscle in a molecule.


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