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Modeling Of Mass Transport Processes In Biologi... [90% PROVEN]
𝜕C𝜕t+∇⋅N=Rthe fraction with numerator partial cap C and denominator partial t end-fraction plus nabla center dot bold cap N equals cap R : Concentration of the species. Nbold cap N : Mass flux (movement).
R=−VmaxCKm+Ccap R equals negative the fraction with numerator cap V sub m a x end-sub cap C and denominator cap K sub m plus cap C end-fraction Modeling of Mass Transport Processes in Biologi...
Ndiff=−D∇Cbold cap N sub d i f f end-sub equals negative cap D nabla cap C Movement driven by fluid velocity ( ), like
) because the path is obstructed by cells and extracellular matrix (ECM). Movement driven by fluid velocity ( ), like blood flow or interstitial fluid. Nconv=vCbold cap N sub c o n v end-sub equals bold v cap C 3. Key Applications Oxygen Delivery: Modeling how O2cap O sub 2 moves from capillaries into deep tissue. Since O2cap O sub 2 is consumed by mitochondria, is negative and usually follows Michaelis-Menten kinetics : Since O2cap O sub 2 is consumed by
