Lecture 7 & 8
Lecture 7 & 8 BEE 2600
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This 10 page Class Notes was uploaded by Lauren Notetaker on Monday September 21, 2015. The Class Notes belongs to BEE 2600 at Cornell University taught by Wu, M in Summer 2015. Since its upload, it has received 70 views. For similar materials see Principles of Biological Engineering in Behavioral Sciences at Cornell University.
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Date Created: 09/21/15
BEE 2600 Lecture 8 9172015 Slide 17 Slide 111 Oxygen Transport in Living System Why is it important All living cells need oxygen to metabolize How is it done Oxygen is carried by the blood through circulation system Slide 115 Oxygen Transport Rate of OZ delivered from small vessels to tissue is a function of 0 Blood ow 0 Blood viscosity 0 Blood composition 0 Oxygen carrying capacity of blood 0 Vessel dimensions 0 Vessel distribution 0 Diffusion characteristics of the gas Slide 116 amp 117 M Oxygen Transport in u Diffusion of oxygen from the vascuiar vessels i surrounding tissge Slide 118 amp 119 Oxygen Transport in Tissue Emrmlc W W U um CV2 E02 m we Cozo A on get WK area Arm39 KalaK 3902 COHSWW a M MQom WWWbe 39 Ma mfgstab LS 23A W39g h Mass mlana w monm139Zmoz max i moQWK 0 9 Act b b 02A A11 O 2AA 1 39 1 DOM955 259 Slide 120 Therefore transfer by it can be described how the ef A s diffusion from a blood substitute z m BEE 2600 Lecture 7 9152015 Slide 96 amp 97 w 114011 i A Derive the steady state dept of WIth the given boundary conditions 39 J a 0 We dm m au a a Slide 100 amp 101 Diffusion with metabolism How does our mass balance and hence our differential equation change If we allow metabolism of the drug within the slice Let R the rate at which antibiotic is degraded in the bio lm Hgcm3 hr ovary m than karma0hquot 2 W1 ma 3 max W S O 1993 a EAdz at og 3 Aos idfg LA95C Jda quot ECAde a aC a 3 9 7 Q E 1 D azz K Diffusion with etaba Summary of mathematics of diffusion so far Rate of change in ac 39 a quot A t a r Internal antibiotic a39 2462 concentration 7 g Rate of antibiotic 5 entering elemental 6 E volume at z x a Rate of antibiotic c c a leaving elemental 399 w volume at z 3 39 4d a a y g L i Metabolis rate at M of antibiotic at z g H Vaebm vow Ma m 1 Slide 102 Let s assume in this case that the R is defined per volume of biofilm Combine the above terms to obtain the resulting equation W 77 w i 39 397 W Slide 103 Ceildensity Within biofilm quot k quotliiiti iiexitand airman Slide 104 amp 105 Diffusion wi lid9106 I Bacterial Bio lm Diffusion with metabolism areown SWw Dwooamws Llrgt1m k a K1 OrigL Ca 833D3L mm1322 833 IQUM 2 009m F C Q hm W1 1 any HUK a 670 mm loadt quot u Chady m me 00W 30m CJ39fdl cz Dsagczao w
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