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The flow across the cells is determined based on μ(k) and λ(k), two monotonic functions that uniquely define the fundamental diagram as shown in Figure 1. The density of the cells is updated based on the conservation of inflows and outflows. Thus, the flow and density are derived as: Where: and represent density and flow in cell i at time t.
The membrane is a homogeneous substance; The electrical field is constant so that the transmembrane potential varies linearly across the membrane; The ions access the membrane instantaneously from the intra- and extracellular solutions; The permeant ions do not interact; The movement of ions is affected by both concentration and voltage differences
Fluid mosaic model of a cell membrane. The fluid mosaic model explains various characteristics regarding the structure of functional cell membranes.According to this biological model, there is a lipid bilayer (two molecules thick layer consisting primarily of amphipathic phospholipids) in which protein molecules are embedded.
Assuming that the system is symmetrical in the x and y directions (around and along the axon, respectively), only the z direction need be considered; thus, the voltage E m is the integral of the z component of the electric field across the membrane. According to Goldman's model, only two factors influence the motion of ions across a permeable ...
c 2 − c 1 is the difference in concentration of the gas across the membrane for the direction of flow (from c 1 to c 2). Fick's first law is also important in radiation transfer equations. However, in this context, it becomes inaccurate when the diffusion constant is low and the radiation becomes limited by the speed of light rather than by ...
A cellular model is a mathematical model of aspects of a biological cell, for the purposes of in silico research. Developing such models has been a task of systems biology and mathematical biology .
The cell cycle is a series of complex, ordered, sequential events that control how a single cell divides into two cells, and involves several different phases. The phases include the G1 and G2 phases, DNA replication or S phase, and the actual process of cell division, mitosis or M phase. [1]
Staverman's reflection coefficient, σ, is a unitless constant that is specific to the permeability of a membrane to a given solute. [4] The Starling equation, written without σ, describes the flow of a solvent across a membrane that is impermeable to the solutes contained within the solution. [5]