Glomerular filtration in the nephron (video) | Khan Academy
obtained from the equations governing the turbulent flow around a Kroonenberg  developed a mathematical relationship to predict the. tions of x by the following relationships: (60) where x = vertical acceleration of Substituting Equations 60 to 62 in Equation 59 leads to: or Fu - MX - Kx - Cx = 0. This article covers the second Hinton's capsule network paper Matrix routing is to group capsules to form a part-whole relationship using a using EM routing discussed in the next section. λ in the equation above is the.
The glomerulus though, just leaks out fluid, and it needs to be caught somewhere. That fluid that leaks out is caught in a capsule, that's kind of hugging the glomerulus right here.
So I'm gonna draw it, like that, and it kinda keeps going this way, and this is gonna continue on, into the rest of our nephron, but this thing right here, it's a capsule, and actually it has a name; it's named after a British scientist, "Doctor Bowman," so we call this, "Bowman's Capsule.
The inside right here is just open space, so they call it, "Bowman's Space" as well, so it's just space that's gonna collect our filtrate.
So at this point, you should be asking yourself, "Why is it that we're gonna have fluid leak out here? So the point where the arteriole meets Bowman's Capsule, there's a lot going on.
Recall, that when we have a vessel, I'll draw half of it, like that, right there, and it's kind of going this a way, okay, so that's our vessel that's right here.
This vessel's got a lot of good stuff, like our red blood cells, our white blood cells, platelets, some really really big proteins, so I'm just gonna draw something really big, right here; that's a giant protein, and it's not gonna leak out into our Bowmans' Capsule.
So, this stuff kinda moves along that way, then again, we've got other things like ions, so I'm gonna write, "Sodium" right there. We've also got smaller protein sub-units, like amino acids; I'll just write, "AA," and we've also got glucose in here. These are things that can leak out, so how is it they get from the arteriole, into Bowman's Space? So our vessels, our arterioles, just like anything else in our body; they're made up of cells.
And the cells that line our vessels over here, I'll just draw a whole bunch of these guys, kinda hanging out, so these guys are called, "endothelial cells"; each of these is an endothelial cell.
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So an endothelial cell is a lot like most of our eukaryotic cells: They've got a nucleus, and they've got all their organelles, and stuff like that goin' on; I'm not gonna go into that kinda detail for right now, but just recall that they're eukaryotic cells. Now something that's special about these vessels, is that they're fenestrated.Relations and functions - Functions and their graphs - Algebra II - Khan Academy
Write that in parenthesis, "fenestrated," and if you don't know what this term means, all it means is that these vessels have a lot of holes; they're very "holey," and so, because of that, the holes allow small things like sodium, and amino acids, and glucose to leak through, so it's got some holes in them, you know, the way that they're sort of connected.
So there are holes where these guys can kinda slip through. The theorems from bifurcation theory allow us to infer stability from the slope of the volume—pressure relations and can be applied both to mechanical and osmotic pressure.
For the reader's convenience we will briefly summarize the relevant results of ref. For our buckling problems, represents the total energy functional, i.
The function r contains the parametrization of the capsule shape. Points of vertical tangency are called folds, in our example this is the point between branches B and C.
Capsule (geometry) - Wikipedia
A solution branch is called stable when it represents minima of the functional. Mathematically, this is related to the second variation of: We quote two results from ref. In the example of Fig. However, ii states that the upper branch consisting of A and B of the fold has one more negative eigenvalue than C. If C is stable, i. He calls branches that are stable in this constrained problem c-stable.