NGUYEN, M. Ngoc-Thanh-Nathan (2024) Mathematical study of dynamical system underlying human induced pluripotent stem cell derived cardiomyocytes action potential PRE - Research Project, ENSTA.
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Abstract
Dynamical mechanisms of the biological pacemaker (BP) generation in human induced pluripotent stem cells–derived cardiomyocytes were investigated by bifurcation analyses of a mathematical model. Equilibrium points (EP), periodic orbits, stability of EPs, and bifurcation points were determined as functions of bifurcation parameters, such as the maximum conductance of inward-rectifier K1 current (IK1 ), of rapidly activating component of delayed-rectifier K+ current (IKr), of Slowly activating component of conductance of delayed-rectifier K+ current (IKs) and of L-type Ca21 channel current (ICaL) for constructing bifurcation diagrams. Stable limit cycles (BP activity) abruptly appeared around an unstable EP via a Hopf bifurcation when (IK1) was reduced to 8% and increased to 132%.
Item Type: | Thesis (PRE - Research Project) |
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Uncontrolled Keywords: | Action potential; Human induced pluripotent stem cells–derived cardiomyocytes; nonlinear dynamical system; bifurcation theory; numerical analysis |
Subjects: | Mathematics and Applications |
ID Code: | 10152 |
Deposited By: | Ngoc-thanh-nathan NGUYEN |
Deposited On: | 28 août 2024 11:07 |
Dernière modification: | 05 sept. 2024 10:54 |
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