27 citations · 30 across the 3 of their papers we have counts for
3 papers
nlin.PS2017★ 3 cited
Fast-slow asymptotics for a Markov chain model of fast sodium current
T. Stary, V. N. Biktashev
We explore the feasibility of using fast-slow asymptotic to eliminate the computational stiffness of the discrete-state, continuous-time deterministic Markov chain models of ionic…
cs.CE2016★ 27 cited
BeatBox - HPC Simulation Environment for Biophysically and Anatomically Realistic Cardiac Electrophysiology
Mario Antonioletti, Vadim N. Biktashev, Adrian Jackson +3
The BeatBox simulation environment combines flexible script language user interface with the robust computational tools, in order to setup cardiac electrophysiology in-silico exper…
math.NA2014
Exponential integrators for a Markov chain model of the fast sodium channel of cardiomyocytes
Tomas Stary, Vadim N. Biktashev
The modern Markov chain models of ionic channels in excitable membranes are numerically stiff. The popular numerical methods for these models require very small time steps to ensur…