TY - JOUR T1 - Cell-to-cell Modelling of the inter-phase between Atrial and Sinoatrial Anisotropic Heterogeneous Nets JF - bioRxiv DO - 10.1101/082529 SP - 082529 AU - Gabriel López AU - Norma P. Castellanos AU - Rafael Godínez Y1 - 2016/01/01 UR - http://biorxiv.org/content/early/2016/10/21/082529.abstract N2 - The transition between Sinoatrial cells and Atrial cells in the Heart is not fully understood. This paper focus in cell-to-cell mathematical models involving typical Sinoatrial cells and Atrial cells connected with experimentally observed conductance values exclusively. We are interested mainly in the geometry of the microstructure of the conduction paths in the Sinoatrial Node. We show with some models that appropriate source-sink relationships between Atrial and Sinoatrial cells may occur according to certain geometric arrangements.Author Summary In [13] Inada et al. modeled the inter-phase in a series of 200 cells, the first 50 SA, where there is a gradient in the conductance of the Ionic currents inside the cells and also a gradient in the the membrane capacitance of SA Kurata et al. cell model (see references within [13]). In that model there is also a gradient in the conductance between SA cells varying from gSA= 20 nS to 3999.8 nS, this last value, as the authors mention, is not actually observed experimentally. For the Atrial cells they used the model of Lindblad et al. [16] with conductance between atrial cells gA = 4000 nS (neither observed experimentally). In that series model the inter-phase between A and SA cells is attained by one SA cell (the 50th cell in a line) connected to three branches of 50 A cells each. The inter-phase is achieved connecting the 50th SA cell with the 49th SA cell throughout gSA = 3999.8 nS, and connecting the 50th SA cell with three A cells with gSA−A = 4000 nS. The conductance between A cells is kept constant gA = 4000 nS. This kind of manipulation of parameters existing in the literature over the years is not allowed in our study. In the present paper gSA takes values between .6 nS and 20 nS [30]. Is worth to remark that in our simulations conduction occurs with gSA−A as low as .6 nS. With this parameter values we obtain appropriate source-sink relationships between Atrial and Sinoatrial cells through certain geometric arrangements. ER -