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NGF-P75. Miap. Casp6. Casp3. N. Modeling Apoptosis. f(NGF). NGF. NGF. p75. NGF-P75. Miap. Casp6. Casp3. N. LAW OF MASS ACTION. Calculus Review. For us, the concentration vs. time. > 0 then X is increasing. < 0 then X is decreasing. Law of Mass Action.

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NGF-P75

Miap

Casp6

Casp3

N

Modeling Apoptosis


f(NGF)

NGF

NGF

p75


NGF-P75

Miap

Casp6

Casp3

N



Calculus review
Calculus Review

For us, the concentration vs. time

> 0 then X is increasing

< 0 then X is decreasing


Law of mass action1
Law of Mass Action

  • Rate of any given chemical reaction is proportional to the product of the concentrations of the reactants.

  • Example: with reaction rate

  • Rate of change of concentration of A:

  • Rate of change of concentration of B:

  • Rate of change of concentration of C:

  • [A], [B], concentration of respective chemicals, t is time.


A

B

C

+


Law of mass action cont
Law of Mass Action (Cont.)

  • Many reactions are reversible: e.g.

    , forward rate constant, , reverse rate constant.

  • After applying the law of mass action:


Deer

Wolf


f(NGF)

Miap

Casp6

Casp3



f(NGF)

Miap

Casp6

Casp3

N



Miap

Casp6

Casp3

Simplification


Casp6

Casp3

N

So what happens?

The Cell May Die


Casp6

Casp3

N

So what happens?

The Cell May Live


The Casp6 Equation

The Cell May Die

The Cell May Live



Casp6

Casp3

Cell Lives When

N

Exactly when does the cell die?


Casp6

Cell Lives When

Casp3

Cell Will Probably Die

N

Cell Will Probably Live

When does the cell die?