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28 Cards in this Set
- Front
- Back
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dT*/dt = kVT - δT*
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HIV Infection
T* = infected cells T = target cells V =concentration of virus k = rate of infection δ = rate of loss of virion-producing cell |
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dV/dt = NδT* - cV
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HIV Infection
V = concentration of virus N = number of new virions produced per infected cell during lifetime T* = infected cells δ = rate of loss of virion-producing cells COMBINED: the number of new virions * rate of loss = increase/decrease in concentration of virions. BUT there's natural clearance, so: c = rate constant for virion clearance V = concentration of virus |
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dT*/dt = kViT - δT*
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HIV
Vi = infectious population, after renovir |
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T*
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Infected cells
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T
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Target cells
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C
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rate constant for virion clearance
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V
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concentration of virions
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Vi
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Concentration of infectious cell
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Vni
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Concentration on noninfectious cells
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δ
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rate of loss of virion producing cells
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k
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rate of infection
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R = (αS^δ)/(1+(S^δ)/K)
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Fishes
R = recruitement of new fish S = spawner abundance α,K,δ = positive parameters δ controls depensation (when δ>1 depensation occurs) |
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Depensation
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When the population falls below a critical point at which it can no longer return to the non-zero carrying capacity and will become extinct
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Recruits
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Young fish that survive to adulthood
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Wolves, Moose, and Tree Rings on Island Royale
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3 level ecosystem, that may or may not have cyclic populations.
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dS/dt = (v-μ)(1-S/K)S-λ(I)S
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Allometry and Simple Epidemic Models for Microparasites
S(t) = density of susceptibles v = birth rate μ = death rate S = number susceptibles K = carrying capacity λ(I) = the function of I that characterizes how the disease is transmitted (density) |
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dI/dt = λ(I)S - (μ+α)I
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Allometry and Simple Epidemic Models for Microparasites
d(I)/dt = density of infected λ(I) = the function of I that characterizes how the disease is transmitted (density) S = density of susceptibles μ = death rate α = increase in death rate due to disease I = density of infected |
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Two models of λ(I)
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1. Density dependent
2. Frequency dependent |
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λ(I) = βI
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Density dependent
β = transmission rate There's a minimum B for the disease to spread |
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λ(I) = βI/(I+S)
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Frequency Dependent
β = transmission rate |
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dBt/dt
dBs/dt dC/dt |
Ozone Layer
These equations tell us how long it takes to remove the releasing stuff given initial concentration |
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dBt/dt = (-Bt/Lt) - (Bt*f - Bs)/Tt
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Ozone Layer
Bt = the amounts of chlorine still tied up in the undissociated halocarbons in the troposphere Lt = tropospheric lifetime for chemical loss of halocarbon Tt = turnover time for replacing air f = scale factor |
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dBs/dt = (-Bs/Ls) - (Bs - Bt*f)/Tt
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Ozone Layer
Bs = the amounts of chlorine still tied up in the undissociated halocarbons in the stratosphere Ls = tropospheric lifetime for chemical loss of halocarbon Tt = turnover time for replacing air f = scale factor |
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dC/dt = -C/Tt + Bs/Ls
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Ozone Layer
C = stratospheric chlorine loading Bs = the amounts of chlorine still tied up in the undissociated halocarbons in the stratosphere Ls = tropospheric lifetime for chemical loss of halocarbon Tt = turnover time for replacing air |
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ICss(t) = 0.1318(10e^(-t/3)pptv
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Ozone Layer
Average integrated chlorinie loading in stratosphere per kiloton NH4ClO4 |
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ODP
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Ozone Layer
The measure comparing any chemical to the same quantity of CFC, especially chloride and bromide they are NOT reactants, they're catalysts. Need to know quantity lifespan. |
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f = Vs/Vt
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f = scale factor
This is how we find it |
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dN/dp = rn(1-n/k) - anp
dP/dt = μp + bnp |
Effects of a Disease Affecting a Predator on the Dynamics of a Predator-
Prey System |
