How is the dose reduction coefficient calculated

At your own risk, this is not a medical advice.


A psychologist, psychiatrist, neurologist, psychotherapist should be consulted.


By definition the dose reduction coefficient is a number with the following property. Any next day dose can be found by multipling the current day dose by this number. Let's call this number x. By definition of we were to find for example dose at day 5 we multiply dose (day 1) by x 5 times. Ie dose (day1) times x times x times x times x times x. Or dose(day1) times X to the power of 5.


Half time, symbol τ is by definition the time taken for the dose to become half. Half time can be a month, 6 weeks, a year etc according to the x number chosen.


Let's find the relation between the two:


By using the 2 above definitions we have:


Dose times (X to the power of τ) = Dose : 2


Or in slightly better math writing:


Dose (X to the power of τ) = Dose/2


Dividing both left and right hand side by Dose we have:


X to the power of τ = 1/2


Taking τth roots on both sides:


X = τth root of 1/2


so:


X = τth root of 0.5


This is easy to calculate using a scientific calculator.


For example for a 5 month half time ie 150 days half time, the X number will be 150th root of 0.5 = 0.9953896


The dose reduction coefficient is 0.9953896


We may find the dose of next day by multiplying any day dose by this number.



At your risk. This is not a medical advice. Consult a psychologist, psychiatrist, neurologist, psychotherapist.


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