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synthesis of cholesterol and FA synthesis enzymes10,16 There are three known types of SREBPs: SREBP-1 a, -1 c, and SREBP-2 In human keratinocytes, SREBP-2 has been shown to be the predominant one and involved in regulating cholesterol and FA synthesis17 Interestingly, the ceramide pathway is not affected by the SREBPs CHOLESTEROL Basal cells are capable of absorbing cholesterol from the circulation; however, most cholesterol is synthesized from acetate in cells such as the keratinocytes The synthesis of cholesterol is increased when the epidermal barrier is impaired18 Peroxisome proliferator-activated receptors (PPARs) and retinoid X receptors have been found to play a role in transporting cholesterol across keratinocyte cell membranes by increasing expression of ABCA1, a membrane transporter that regulates cholesterol efflux19



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foreach ($member in $properties) { if (! $member) { write-error "bad member $member" } else { $object.psobject.members.Add($member) } }





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Suppose that u and v are two harmonic functions in a domain D If their rst-order partial derivatives satisfy the Cauchy-Riemann equations, then we say that v is the harmonic conjugate of u THEOREM 35 A function f ( z ) = u( x , y) + iv ( x , y) is analytic if and only if v ( x , y) is the harmonic conjugate of u( x , y) EXAMPLE 312 Is u( x , y) = e y sin x a harmonic function If so write down an analytic function f ( z ) such that u is its real part SOLUTION We compute the partial derivatives of u We nd u = e y cos x x u = e y sin x y 2u = e y sin x x 2 2u 2 = e y sin x y

$object }

As mentioned, the __new_instance function was a worker function; the user never calls it directly. Now we ll define the function that the user employs to define a new class. Again, this has to be a global function; but this time, since the user calls it, we ll give it a conventional name.

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function global:CustomClass {

It s clear that the function is harmonic since 2u 2u = e y sin x + e y sin x = 0 + x 2 y 2 Using the Cauchy-Riemann equations, we have u v = e y cos x = x y u v = e y sin x = y x So it must be the case that v ( x , y) = e y cos x The analytic function we seek is therefore f ( z ) = u( x , y) + iv ( x , y) = e y sin x ie y cos x

CERAMIDES Ceramides constitute 40% of the SC lipids in humans20; however, they are not found in significant amounts in lower levels of the epidermis such as the stratum granulosum or basal layer This suggests that terminal differentiation is a key factor in the production of ceramides There are at least nine classes of ceramides in the SC classified as Ceramides 1 to 9 In addition, there are two protein-bound ceramides classified as Ceramides A and B, which are covalently bound to cornified envelope proteins such an involucrin21 (Fig 11-5) In 1982, Ceramide 1 was the first ceramide identified Subsequently, additional types of ceramides were found and named according to the polarity and composition of the molecule The basic ceramide structure is a fatty acid covalently bound to a sphingoid base Different classes are based on arrangements of sphingosine (S) versus phytosphingosine (P) versus 6-hydroxysph-

This function takes the name of the class and the scriptblock to execute to produce the members that will be attached to that class.

param ([string] $type, [scriptblock] $definition)

The re ection principle allows us to determine when the following condition is satis ed: f (z) = f (z ) (330)

if ($global:__ClassTable__[$type]) { throw "type $type is already defined" }

At this point, we ll execute the scriptblock to build an instance of the type that will be discarded. We do this to catch any errors in the definition at the time the class is defined, instead of the first time the class is used. It s not strictly necessary to do this, but it will help you catch any errors sooner rather than later.

SUPERFICIAL Corneocytes (bricks) Intercellular lipids (mortar)

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