5 papers
A persistent random-walk model of molecular transport in neuronal dendritic trees
Lasko Basnarkov
A two-level analytical framework is presented for modeling random walk transport of messenger ribonucleic acid (mRNA) molecules along neuronal microtubules from soma to synapses. M…
On the Similarity between Epidemiologic Strains, Minimal Self-Replicable Siphons, and autocatalytic cores in (Chemical) Reaction Networks: Towards a Unifying Framework
Florin Avram, Rim Adenane, Lasko Basnarkov +1
We aim to study boundary stability and persistence of positive odes in mathematical epidemiology models by importing structural tools from chemical reaction networks. This is large…
Semi-Markov random walk on complex networks
Lasko Basnarkov
We present a semi-Markov model of random walk on complex networks in discrete and continuous-time scenario. In the general setting of the semi-Markov chains, the duration of stay a…
Response to an external field of a generalized Langevin equation with stochastic resetting of the memory kernel
Petar Jolakoski, Lasko Basnarkov, Ljupco Kocarev +3
We study a generalized Langevin equation (GLE) framework that incorporates stochastic resetting of a truncation power-law memory kernel. The inclusion of stochastic resetting enabl…
Comparative study of random walks with one-step memory on complex networks
Miroslav Mirchev, Lasko Basnarkov, Igor Mishkovski
We investigate searching efficiency of different kinds of random walk on complex networks which rely on local information and one-step memory. For the studied navigation strategies…