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A study on discrete and discrete fractional pharmacokinetics-pharmacodynamics models for tumor growth and anti-cancer effects

A study on discrete and discrete fractional pharmacokinetics-pharmacodynamics models for tumor growth and anti-cancer effects

Abstract We study the discrete and discrete fractional representation of a pharmacokinetics - pharmacodynamics (PK-PD) model describing tumor growth and anti-cancer effects in continuous time considering a time scale <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>h</m:mi> <m:msubsup> <m:mrow> <m:mi>ℕ</m:mi> </m:mrow> <m:mn>0</m:mn> <m:mi>h</m:mi> </m:msubsup> </m:mrow> </m:math> $h\mathbb{N}_0^h$ , where h &gt; 0. Since the …