Introduction to Chemical Kinetics and Computational Modeling

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Introduction to Chemical Kinetics and
Computational Modeling

• Hana El-Samad
• Byers Hall (QB3), Rm 403D

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Why mathematics in biology?
Given some initial concentrations, what is output
give some prescribed input?
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Chemical reactions are collisions of molecules
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Molecule A
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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
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Change in Concentration DA A2-A1
A1
A2
Reactant A
t1
t2
instantaneous rate of change in concentration
during time dt
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Reaching steady-state (equilibrium)
Steady-state No more change in A
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Chemical Reactions inside the cellCentral Dogma
of Molecular Biology
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Transcription
Transcription factor
DNA
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mRNA Translation
Proteins
mRNA
ribosomes
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Modeling activator binding and production of mRNA
Fast
slow
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Fast
but
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Hill Function
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Cooperativity
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Cooperativity
n molecules
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Repressor
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