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The Effect of Caffeine on Neurological Dopamine Production Process Dynamics & Control October 13 th, 2004 Student Name 1 Student Name 2

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Presentation Outline Introduction Simulation Assumptions Process Outcomes Laplace via Maple Matlab Simulink Conclusion

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What is Caffeine? The most commonly used neurological drug worldwide trimethylxanthine, (C 8 H 10 N 4 O 2 ) bitter tasting white powder Retrieved from: caffeine-molecule.gif

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Common Substances Coffee, tea, soft drinks, and pain medication Caffeine Content: Brewed coffee: mg Black Tea: mg Excedrin: 65 mg Mountain Dew: 55 mg Green Tea: 8-36 mg

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What is Dopamine? Neurotransmitter Movement Thought processes Emotions Pleasure “Rewards” centers of the brain Retrieved from:

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The Relationship Between Caffeine and Dopamine Caffeine has ½ life of ~6 hours in a healthy person Enters Digestive tract Some caffeine is lost in liver Remainder enters bloodstream Caffeine enters the brain Stimulates excessive dopamine release Blocks uptake receptors

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Ultimate Response:

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Simulation Assumptions Body consists of 3 tanks Stomach, Liver, and Brain Flow rates, tank volumes and density remain constant Dopamine production is a first order chemical reaction Caffeine→Dopamine

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Initial Conditions F1F1 25 dL/s F2F2 20 dL/s F3F dL/s F4F4 F5F dL/s k1k mol-dL -1 s -1 k2k mol-dL -1 s -1 VsVs 5 dL VlVl 4 dL VbVb 2 dL

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Simulation Process C i,caf., F 1 Stomach: C 1, V s F 2, C 1 C 3, F 3, D 3 Liver: D 2, C 2, V l Brain: D 5, C 5, V b F 4, C 4, D 4 F 5, D 5 Caffeine Dopamine r b =k 1 C 5

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Focus Amount of Dopamine produced as a function of input Caffeine

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Mass Balances: Stomach C i,caf., F 1 Stomach: C 1, V s F 2, C 1 Equation 1. Stomach Mass Balance (Caffeine)

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Mass Balance: Liver F 2, C 1 C 3, F 3, D 3 Liver: D 2, C 2, V l F 4, C 4, D 4 F 5, D 5 Equation 2. Liver Mass Balance (Caffeine) Equation 3. Liver Mass Balance (Dopamine)

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Mass Balance: Brain Brain: D 5, C 5, V b F 4, C 4, D 4 F 5, D 5 Caffeine Dopamine r b =k 1 C 5 Equation 4. Brain Mass Balance (Caffeine) Equation 5. Brain Mass Balance (Dopamine)

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Laplace Transform: Steady State S-Domain t-Domain =C i,caf { }

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Caffeine Impulse Function

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Caffeine Unit Step Function

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Caffeine at Steady-State

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Dopamine at Steady State

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Dopamine Unit Step Function

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Dopamine Impulse Function

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Simulink Unit Step Function For Caffeine

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Simulink Unit Step Function For Dopamine

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Simulink Impulse Function for Caffeine

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Simulink Impulse Function for Dopamine

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Conclusion Achieved anticipated results in the theoretical process Possible differences in real process Suggestions Thanks to Dr. Rodgers

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Questions?

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