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Dyna Paper Calcium Transient

The following (written in pseudocode) adapted1 equation gives the calcium transient used in the paper “Force-Dependent Recruitment From Myosin OFF-State Increases End-Systolic Pressure-Volume Relationship in Left Ventricle”2.

tp = cardiac_period*cycle + self.t_act+0.01 fCa = 25 fCa_2 = 2.5

if t <= self.t_act:
  pCa = 7
  calcium_value = 10-pCa
elif ((cardiac_period)(cycle)+self.t_act) < t) and (t < (tp)):
  pCa = (t - (cardiac_period)(cycle)+self.t_act))/0.02
  calcium_value = (1 + 9sin(3.14pCa))1E-7
elif (t >= tp):
  pCa = 0.5exp(-np.power((t - tp)fCa, fCa_2))
  calcium_value = (1+9np.sin(3.14*pCa))1E-7

This yields the following:

  1. Laurita, K. R., & Singal, A. (2001). Mapping action potentials and calcium transients simultaneously from the intact heart. Am J Physiol Heart Circ Physiol, 280(5), H2053-2060. doi:10.1152/ajpheart.2001.280.5.H2053 

  2. Mann, C. K., Lee, L. C., Campbell, K. S., & Wenk, J. F. (2020). Force-dependent recruitment from myosin OFF-state increases end-systolic pressure-volume relationship in left ventricle. Biomechanics and modeling in mechanobiology, 19(6), 2683–2692. https://doi.org/10.1007/s10237-020-01331-6 


Written by the Computational Biomechanics Lab at University of Kentucky