Introduction to Chemical Kinetics and Computational Modeling - PowerPoint PPT Presentation

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Introduction to Chemical Kinetics and Computational Modeling

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Title: Introduction to Chemical Kinetics and Computational Modeling


1
Introduction to Chemical Kinetics and
Computational Modeling
  • Hana El-Samad
  • Byers Hall (QB3), Rm 403D

2
Why mathematics in biology?
Given some initial concentrations, what is output
give some prescribed input?
3
Chemical reactions are collisions of molecules
4
Molecule A
5
Change in Concentration DA A2-A1
A1
Reactant A
A2
t1
time
Change in time Dtt2-t1
Average rate of change in concentration during
time Dt
6
Change in Concentration DA A2-A1
A1
A2
Reactant A
t1
t2
instantaneous rate of change in concentration
during time dt
7
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8
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9
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10
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11
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12
Reaching steady-state (equilibrium)
Steady-state No more change in A
13
Chemical Reactions inside the cellCentral Dogma
of Molecular Biology
14
Transcription
Transcription factor
DNA
15
mRNA Translation
Proteins
mRNA
ribosomes
16
Modeling activator binding and production of mRNA
Fast
slow
17
Fast
but
18
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19
Hill Function
20
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21
Cooperativity
22
Cooperativity
n molecules
23
Repressor
24
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