Abstract
The synchronous and proper contraction of cardiomyocytes is essential for the correct function of the whole heart. Computational models of a cardiac cell may spam multiple cellular sub-components, scales, and physics. As a result, they are usually computationally expensive. This work proposes a low-cost model to simulate the cardiac myocyte’s electromechanics. The modeling of action potential and active force is performed via a system of six ordinary differential equations. Cardiac myocyte’s deformation that considers details of its geometry is captured using a mass-spring system. The mathematical model is integrated in time using Verlet’s method to obtain the position, velocity, and acceleration of each discretized point of the single cardiac myocyte. Our numerical results show that the obtained action potential, contraction, and deformation reproduces very well physiological data. Therefore, the low-cost mathematical model proposed here can be used as an essential tool for the correct characterization of cardiac electromechanics.
Supported by UFJF, UFSJ, Capes, CNPq (under grant 153465/2018-2) and Fapemig.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Amorim, R.M., Campos, R.S., Lobosco, M., Jacob, C., dos Santos, R.W.: An electro-mechanical cardiac simulator based on cellular automata and mass-spring models. In: Sirakoulis, G.C., Bandini, S. (eds.) ACRI 2012. LNCS, vol. 7495, pp. 434–443. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-33350-7_45
Bueno-Orovio, A., Cherry, E.M., Fenton, F.H.: Minimal model for human ventricular action potentials in tissue. J. Theor. Biol. 253(3), 544–560 (2008)
Campos, J., Sundnes, J., Dos Santos, R., Rocha, B.: Uncertainty quantification and sensitivity analysis of left ventricular function during the full cardiac cycle. Philos. Trans. R. Soc. 378(2173), 20190381 (2020)
Campos, R.S., Lobosco, M., dos Santos, R.W.: A GPU-based heart simulator with mass-spring systems and cellular automaton. J. Supercomputing 69(1), 1–8 (2014)
Campos, R.S., Rocha, B.M., Lobosco, M., dos Santos, R.W.: Multilevel parallelism scheme in a genetic algorithm applied to cardiac models with mass-spring systems. J. Supercomputing 73(2), 609–623 (2017)
Kot, M., Nagahashi, H., Szymczak, P.: Elastic moduli of simple mass spring models. Vis. Comput. 31(10), 1339–1350 (2014). https://doi.org/10.1007/s00371-014-1015-5
Oliveira, R.S., et al.: Ectopic beats arise from micro-reentries near infarct regions in simulations of a patient-specific heart model. Sci. Rep. 8(1), 1–14 (2018)
Pappalardo, O., et al.: Mass-spring models for the simulation of mitral valve function: looking for a trade-off between reliability and time-efficiency. Med. Eng. Phys. 47, 93–104 (2017)
Philips, C.M., Duthinh, V., Houser, S.R.: A simple technique to measure the rate and magnitude of shortening of single isolated cardiac myocytes. IEEE Trans. Biomed. Eng. 10, 929–934 (1986)
Silva, J.G.R., Campos, R.S., Xavier, C.R., dos Santos, R.W.: Simplified models for electromechanics of cardiac myocyte. In: Gervasi, O., et al. (eds.) ICCSA 2020. LNCS, vol. 12249, pp. 191–204. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-58799-4_14
ten Tusscher, K.H., Noble, D., Noble, P.J., Panfilov, A.V.: A model for human ventricular tissue. Am. J. Physiol.-Heart Circulatory Physiol. 286(4), H1573–H1589 (2004)
Weise, L.D., Nash, M.P., Panfilov, A.V.: A discrete model to study reaction-diffusion-mechanics systems. Plos One 6(7), e21934 (2011)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
de Aguiar Bergo Coelho, A.L., Campos, R.S., Silva, J.G.R., Xavier, C.R., Santos, R.W.d. (2021). Modeling the Electromechanics of a Single Cardiac Myocyte. In: Paszynski, M., Kranzlmüller, D., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M.A. (eds) Computational Science – ICCS 2021. ICCS 2021. Lecture Notes in Computer Science(), vol 12743. Springer, Cham. https://doi.org/10.1007/978-3-030-77964-1_41
Download citation
DOI: https://doi.org/10.1007/978-3-030-77964-1_41
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-77963-4
Online ISBN: 978-3-030-77964-1
eBook Packages: Computer ScienceComputer Science (R0)