Skip to main content
Figure 4 | Biology Direct

Figure 4

From: The evolution of strand preference in simulated RNA replicators with strand displacement: Implications for the origin of transcription

Figure 4

Advantage of producing (-) strands. The value of k P | Σ PP MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaaeaaaaaaaaa8qacqWGRbWApaWaaSbaaSqaa8qacqqGqbaucqGG8baFcqqHJoWudaWgaaadbaGaeeiuaaLaeeiuaafabeaaaSWdaeqaaaaa@345F@ = (1 - e-(Δ+2a)τ)a/(Δ + 2a) (black solid line), that of k M | Σ MP MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaaeaaaaaaaaa8qacqWGRbWApaWaaSbaaSqaa8qacqqGnbqtcqGG8baFcqqHJoWupaWaaSbaaWqaa8qacqqGnbqtcqqGqbaua8aabeaaaSqabaaaaa@3472@ = (1 - e-(Δ+a)τ)a/(Δ + a) (red dashed line) and the difference thereof (blue dotted line) are plotted as a function of Δ (τ is set to Δ-1), with a = 0.5 [a is the rate of replication for single stranded templates – either (+) or (-) strands]. For those plotted values to be applicable to the CA model, a should lie between 0.1k S and k S where k S = k SP = k SM . This is because in the CA model the number of neighbors are 8 (rather than 2), and these 8 neighbors are not necesarily all P. Thus, to calculate values corresponding to k P | Σ PP MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaaeaaaaaaaaa8qacqWGRbWApaWaaSbaaSqaa8qacqqGqbaucqGG8baFcqqHJoWudaWgaaadbaGaeeiuaaLaeeiuaafabeaaaSWdaeqaaaaa@345F@ and k M | Σ MP MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaaeaaaaaaaaa8qacqWGRbWApaWaaSbaaSqaa8qacqqGnbqtcqGG8baFcqqHJoWupaWaaSbaaWqaa8qacqqGnbqtcqqGqbaua8aabeaaaSqabaaaaa@3472@ in the CA model, one must also factor in the probability that a molecule (P or M) interacts with P given that they are in the neighborhood of the molecule (see Methods for the details of how interactions are implemented in the CA model).

Back to article page