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optimal lysis time. optimal residence time. When?. N: host concentration r: adsorption rate. b 2. b 1. ln(phage/cell). maturation. adsorption. eclipse. 1/(rN). t 1. t 2. 0. The lysis time t is optimal when. ln( b ). d ln( b ). =. d t. 1/(r N) + t.
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optimal lysis time optimal residence time When?
N: host concentration r: adsorption rate b2 b1 ln(phage/cell) maturation adsorption eclipse 1/(rN) t1 t2 0 The lysis time t is optimal when ln(b) d ln(b) = d t 1/(r N) + t Graphical Solution of the Optimal Lysis Time
1/(rN2) 1/(rN1) t1 t2 N1 > N2 t1 < t2 Evolution of Optimal Lysis Time Environments with different host quantities: N1 > N2 ln(phage/cell) Wang et al. (1996) Evol. Ecol. 10: 545-558.
Evolution of Optimal Lysis Time Different Environments with different host qualities: Q1 > Q2 Q1 ln(phage/cell) Q2 1/(rN) t1 t2 Q1 > Q2 t1 < t2 Wang et al. (1996) Evol. Ecol. 10: 545-558.
Summary • High host quantity (which reduces “travel” time) promotes shorter lysis time, and vice versa. • (2) High host quality (between environments) promotes shorter lysis time, and vice versa. • Both Life-History Predictions Invoke MVT
Parker, G.A. 1974. Evolution 28:93. Male Copulatory Duration: Fertilization of Ova Has Diminishing Returns Dungflies: Copulate Near Cowpats, Oviposition Given Resource, Males Arrive First Females Arrive; Males Compete Mating; Male Guards Female During Oviposition Male Searches for New Mate
Cycle for Males Time Guarding Female, Search Time Gain Fertilizations During Mating Guarding + Search = Travel (Constraints) Male can Adjust Copulation Time
Parker, G.A. 1974. Evolution 28:93. Hypothesis: Selection can favor long-term rate at which a male fertilizes ova. MVT: Some Understanding of Mating Behavior