Extended error threshold mechanism in {\it quasispecies} theory via population dynamics
We investigate Eigen's model for the evolution of the genetic code of microorganisms using a novel method based on population dynamics analysis. This model, for a given number of offspring, determines long-term survival as a function of the "genetic" information length and copy error...
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| creator | Velten, Hermano Pinheiro, Carlos Felipe Silva, Alcides Castro e |
| description | We investigate Eigen's model for the evolution of the genetic code of
microorganisms using a novel method based on population dynamics analysis. This
model, for a given number of offspring, determines long-term survival as a
function of the "genetic" information length and copy error probability. There
exists a maximum threshold for the quantity of information that can be
consistently preserved through the process of evolution within a population of
perfectly replicating sequences, meaning no errors are allowed. With our
formula, we expand upon the traditional error threshold formula of Eigen's
theory and introduce a new expression for general cases where the
self-reproduction process allows up to any integer number of copying errors per
digit per replication step. |
| doi_str_mv | 10.48550/arxiv.2406.14516 |
| format | Article |
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microorganisms using a novel method based on population dynamics analysis. This
model, for a given number of offspring, determines long-term survival as a
function of the "genetic" information length and copy error probability. There
exists a maximum threshold for the quantity of information that can be
consistently preserved through the process of evolution within a population of
perfectly replicating sequences, meaning no errors are allowed. With our
formula, we expand upon the traditional error threshold formula of Eigen's
theory and introduce a new expression for general cases where the
self-reproduction process allows up to any integer number of copying errors per
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microorganisms using a novel method based on population dynamics analysis. This
model, for a given number of offspring, determines long-term survival as a
function of the "genetic" information length and copy error probability. There
exists a maximum threshold for the quantity of information that can be
consistently preserved through the process of evolution within a population of
perfectly replicating sequences, meaning no errors are allowed. With our
formula, we expand upon the traditional error threshold formula of Eigen's
theory and introduce a new expression for general cases where the
self-reproduction process allows up to any integer number of copying errors per
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microorganisms using a novel method based on population dynamics analysis. This
model, for a given number of offspring, determines long-term survival as a
function of the "genetic" information length and copy error probability. There
exists a maximum threshold for the quantity of information that can be
consistently preserved through the process of evolution within a population of
perfectly replicating sequences, meaning no errors are allowed. With our
formula, we expand upon the traditional error threshold formula of Eigen's
theory and introduce a new expression for general cases where the
self-reproduction process allows up to any integer number of copying errors per
digit per replication step.</abstract><doi>10.48550/arxiv.2406.14516</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Quantitative Biology - Populations and Evolution |
| title | Extended error threshold mechanism in {\it quasispecies} theory via population dynamics |
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