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A cell membrane is simplified as lipid bilayer plus membrane skeleton. The skeleton is a cross-linking protein network and joints to the bilayer at some points. Assume that each proteins in the membrane skeleton have similar length which is much smaller than the whole size of the cell membrane, and that the membrane is locally 2-dimensional ...
Local point deformations such as membrane protein interactions are typically modelled with the complex theory of biological liquid crystals but the mechanical properties of a homogeneous bilayer are often characterized in terms of only three mechanical elastic moduli: the area expansion modulus K a, a bending modulus K b and an edge energy .
Beta dispersion is the phenomenon associated with the ability of a biological cell membrane to filter out low frequency currents and allow high frequency currents to pass through. It was originally hypothesized by Rudolf Höber in 1910 and confirmed through a series of experiments between 1910 and 1913.
The total permeate flow from a membrane system is given by following equation: = Where Qp is the permeate stream flowrate [kg·s −1], F w is the water flux rate [kg·m −2 ·s −1] and A is the membrane area [m 2] The permeability (k) [m·s −2 ·bar −1] of a membrane is given by the next equation:
Leak channels account for the natural permeability of the membrane to ions and take the form of the equation for voltage-gated channels, where the conductance is a constant. Thus, the leak current due to passive leak ion channels in the Hodgkin-Huxley formalism is I l = g l e a k ( V − V l e a k ) {\displaystyle I_{l}=g_{leak}(V-V_{leak})} .
Illustration of a eukaryotic cell membrane Comparison of a eukaryotic vs. a prokaryotic cell membrane. The cell membrane (also known as the plasma membrane or cytoplasmic membrane, and historically referred to as the plasmalemma) is a biological membrane that separates and protects the interior of a cell from the outside environment (the extracellular space).
The interstitium is a contiguous fluid-filled space existing between a structural barrier, such as a cell membrane or the skin, and internal structures, such as organs, including muscles and the circulatory system. [1] [2] The fluid in this space is called interstitial fluid, comprises water and solutes, and drains into the lymph system. [2]
Spacing equations of subsurface drains and the groundwater energy balance applied to drainage equations [5] are examples of two-dimensional groundwater models. Three-dimensional models like Modflow [6] require discretization of the entire flow domain. To that end the flow region must be subdivided into smaller elements (or cells), in both ...