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Blood Alcohol In Blood Stream

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Modeling on amount of alcohol in blood stream

Contents: Page no. Communication

Rationale Introduction

Mathematical Presentation

Derivation, graph and formulae

Personal engagement


Substantial evidence

Use of mathematics


One day I was reading a daily newspaper where I found an editorial on the topic of amount of drug in the blood stream. So I kept on thinking and at a result I realised to explore my internal assessment on this topic. I was very much curious about to know the amount of alcohol consumed by the people having different weight and physical capacity/strength. Therefore I am planning to explore in this internal
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While teenage issues are related to youth (age between 12yrs to 20yrs) try alcohol for the first time. Three leading causes of death are motor vehicles crashes, homicides and suicides; alcohol is a factor in all three.

Mathematical Presentation

Actually , alcohol is used in modernisation but people must be aware about the legal limit of the consumption, there are so many tables and charts which teach people for their consumption limit. I have noticed that there is a “Blood Alcohol contents”.
“BAC ( Blood Alcohol Content) is the concentration of alcohol in a person’s blood. It is most commonly used as a metric of intoxication for legal or medical purposes. It is usually expressed as a fractional percentage in terms of volume of alcohol per litre of blood in the body.1
1.Definition from “Wikipedia”

Infact BAC ( Blood Alcohol Content) is used for medical purposes only within a permissible limits. Usually it is expressed as a percentage of ethanol in the blood in units of mass of alcohol per volume of
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For example 1 gram of alcohol per kg of blood is a ratio of 1/1000 alcohol/blood.
Alcohol concentration depends on the followings factors: How much alcohol are you drinking i.e. means quantity and how much level of concentration was the alcohol. These factors affect the alcohol concentration. Second point is time interval i.e. in how much time difference you are taking Third point is habits if you are habitual then your concentration level is very low. Fourth point is stomach contents i.e. if you have not eaten any thing before drink then blood alcohol concentration will be very high.

But there is a very important fact about blood alcohol concentration is that when the amount of alcohol in the body increases , the proportion eliminated in an hour decreases.

Let P be the proportion of alcohol broken down in a given hour and a be the number of grams of alcohol in the body at the beginning of the hour then

P = 10/(4.2+a)
This is called Capacity-limited

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