Mathematical models in drug delivery.pdf

Mathematical models in drug delivery.pdf
((Mathematical models in drug delivery: How modeling has shaped the way we design new drug delivery systems))
(Interface flux) = km M∞ S.L Flux of mass transfer = Rate of mass mass transfer Area = Mass Time Area = Mass Area. Time = Mt S. t Ci = M∞/SL Ci >> Cb
One Dimensional Flux Equations for Different Geometries r=R , C=Cs r=0 𝝏𝑪 𝝏𝒓 = 0 B.C: I.C: t=0 , C=C0 ,
FESEM: ATGD TEM: ATGD 𝐅𝐨𝐫 𝐬𝐡𝐨𝐫𝐭 𝐭𝐢𝐦𝐞: 𝑴𝒕 𝑴∞ ≅ 𝟖 𝑫𝒕 𝝅𝒅𝟐 𝟏 𝟐 − 𝟒𝑫𝒕 𝒅𝟐 = 𝒎𝟏𝒕 𝟏 𝟐 − 𝒎𝟐𝐭 𝑴𝒕 𝑴∞ ≤ 𝟎. 𝟒 𝐅𝐨𝐫 𝐥𝐚𝐧𝐠 𝐭𝐢𝐦𝐞: 𝑴𝒕 𝑴∞ ≅ 𝟏 − 𝟒 𝟐. 𝟒𝟎𝟓𝟐 𝒆 − 𝟐𝟑.𝟏𝟑𝟔𝑫 𝒅𝟐 𝒕 = 𝟏 − 𝒂𝒆−𝒃𝒕 𝑴𝒕 𝑴∞ > 𝟎. 𝟔 𝑴𝒕 𝑴∞ = 𝟏 − 𝟑𝟐 𝝅 ෍ 𝒏=𝟏 ∞ 𝟏 𝒒𝟐 𝒆𝒙𝒑 − 𝒒𝒏 𝟐 𝑹𝟐 𝑫𝒕 . ෍ 𝒑=𝟎 ∞ 𝟏 𝟐𝒑 + 𝟏 𝟐 × 𝒆𝒙𝒑 𝟐𝒑 + 𝟏 𝟐𝝅𝟐 𝑯 𝟐 𝑫𝒕 H
Low pore interconnectivity causes slower release Higher pore interconnectivity results in increased release
Divergent method Convergent method

Mathematical models in drug delivery.pdf

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Mathematical models in drug delivery.pdf