The concept of local accumulation time (LAT) was introduced by Berezhkovskii and coworkers in 2010–2011 to give a finite measure of the time required for the transient solution of a reaction–diffusion equation to approach the steady–state solution (Biophys J. 99, L59 (2010); Phys Rev E. 83, 051906 (2011)). Such a measure is referred to as a critical time. Here, we show that LAT is, in fact, identical to the concept of mean action time (MAT) that was first introduced by McNabb in 1991 (IMA J Appl Math. 47, 193 (1991)). Although McNabb’s initial argument was motivated by considering the mean particle lifetime (MPLT) for a linear death process, he applied the ideas to study diffusion. We extend the work of these authors by deriving expressions...
Heat and mass transport through multiple layers has applications to a wide range of areas, including...
There are many ways to define how long diffusive processes take, and an appropriate "critical time" ...
The Fisher–Kolmogorov–Petrovsky–Piskunov (Fisher–KPP) equation is one of the prototypical reaction–d...
The concept of local accumulation time (LAT) was introduced by Berezhkovskii and co-workers to give ...
The concept of local accumulation time (LAT) was introduced by Berezhkovskii and coworkers in 2010–2...
In 1991, McNabb introduced the concept of mean action time (MAT) as a finite measure of the time req...
Berezhkovskii and co-workers introduced the concept of local accumulation time as a finite measure o...
In 2010 Berezhkovskii and coworkers introduced the concept of local accumulation time (LAT) as a fin...
Markov jump processes can provide accurate models in many applications, notably chemical and biochem...
Reaction diffusion has applications to a wide range of areas, including industrial, geological, and ...
Abstract. For a number of diffusive processes involving heat and mass transfer, a convenient and eas...
The mean action time is the mean of a probability density function that can be interpreted as a crit...
Mathematically, it takes an infinite amount of time for the transient solution of a diffusion equati...
Birth-death processes are discrete-state, continuous-time Markov jump processes with one-step jumps....
There are many ways to define how long diffusive processes take, and an appropriate “critical time...
Heat and mass transport through multiple layers has applications to a wide range of areas, including...
There are many ways to define how long diffusive processes take, and an appropriate "critical time" ...
The Fisher–Kolmogorov–Petrovsky–Piskunov (Fisher–KPP) equation is one of the prototypical reaction–d...
The concept of local accumulation time (LAT) was introduced by Berezhkovskii and co-workers to give ...
The concept of local accumulation time (LAT) was introduced by Berezhkovskii and coworkers in 2010–2...
In 1991, McNabb introduced the concept of mean action time (MAT) as a finite measure of the time req...
Berezhkovskii and co-workers introduced the concept of local accumulation time as a finite measure o...
In 2010 Berezhkovskii and coworkers introduced the concept of local accumulation time (LAT) as a fin...
Markov jump processes can provide accurate models in many applications, notably chemical and biochem...
Reaction diffusion has applications to a wide range of areas, including industrial, geological, and ...
Abstract. For a number of diffusive processes involving heat and mass transfer, a convenient and eas...
The mean action time is the mean of a probability density function that can be interpreted as a crit...
Mathematically, it takes an infinite amount of time for the transient solution of a diffusion equati...
Birth-death processes are discrete-state, continuous-time Markov jump processes with one-step jumps....
There are many ways to define how long diffusive processes take, and an appropriate “critical time...
Heat and mass transport through multiple layers has applications to a wide range of areas, including...
There are many ways to define how long diffusive processes take, and an appropriate "critical time" ...
The Fisher–Kolmogorov–Petrovsky–Piskunov (Fisher–KPP) equation is one of the prototypical reaction–d...