Blar i Brage NMBU på forfatter "Ponossov, Arkadi"
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Alternative frameworks for analysis of gene regulatory networks with delay
Shlykova, Irina (PhD Thesis;2010:53, Doctoral thesis, 2010)When trying to understand the role and functioning of a gene regulatory network (GRN), the first step is to assemble components of the network and interactions between them. It is important that models are kept simple but ... -
Analysis of the McKendrick-von Foerster equation with weighted white noise by means of stochastic functional differential equations
Ponossov, Arkadi (Journal article; Peer reviewed, 2021) -
Comparative analysis of heterogeneous and homogeneous neural field models
Kolodina, Karina (PhD Thesis;2019:19, Doctoral thesis, 2019)The present thesis is devoted to the comparative analysis of heterogeneous and homogeneous neural field models. The motivation for this work stems from the fact that there is considerable interest in processes in neural ... -
Convergence Properties of Piecewise Power Approximations
Machina, Anna; Ponossov, Arkadi; Tafintseva, Valeria (Journal article; Peer reviewed, 2016) -
Convergence Properties of Piecewise Power Approximations
Ponossov, Arkadi; Machina, Anna; Tafintseva, Valeria (Journal article; Peer reviewed, 2016) -
A counterexample to the stochastic Brouwer fixed point theorem.
Ponossov, Arkadi (Journal article; Peer reviewed, 2021) -
Developing models for winter processes in grasslands – Bayesian calibration and sensitivity analysis
Thorsen, Stig Morten (PhD Thesis;2010:9, Doctoral thesis, 2010)For grass-based agriculture at high latitudes, poor overwintering of perennial forage grasses often has economic consequences due to yield loss and re-establishment of grass fields. In order to assess the performance of ... -
Differential inclusions and piecewise models in biochemical and gene regulatory networks
Machina, Anna (PhD Thesis;2010:31, Doctoral thesis, 2010)The simplification of a complex system is a widely accepted way of its modeling, the inevitable drawback of which is the ”resolution reduction”, i.e., the loss of information inherent to the real-world processes. In this ... -
Efficient model selection in the Tikhonov Regularization framework and pre-processing of spectroscopic data
Skogholt, Joakim (PhD Thesis;2019:99, Doctoral thesis, 2019)Machine learning is a hot topic in today's society. Data sets of varying sizes show up in a number of contexts, and learning from data sets is important for answering many questions. There is a plethora of methods that can ... -
Existence and uniqueness of solutions to stochastic fractional differential equations in multiple time scales
Ponossov, Arkadi (Peer reviewed; Journal article, 2023) -
Generalized functional differential equations: existence and uniqueness of solutions
Ponossov, Arkadi; Zhukovskiy, Evgenii (Journal article; Peer reviewed, 2016) -
Input-to-state stability of linear stochastic functional differential equations
Kadiev, Ramazan; Ponossov, Arkadi (Journal article; Peer reviewed, 2016) -
Lyapunov stability of the generalized stochastic pantograph equation
Ponossov, Arkadi; Kadiev, Ramazan (Journal article, 2018) -
Matematisk analyse: Et ikke-standard alternativ
Gautefald, Herman (Master thesis, 2016-08-10)I denne mastergradsoppgaven er målet å undersøke hvordan ikke-standard analyse kan fungere som et alternativ til den veletablerte, klassiske analysen. Først gjennomgås konstruksjonen av såkalte hyperreelle tall, som ... -
Matematisk modellering av utviklingen til HIV/AIDS ved hjelp av differensialligninger
Vinje, Hilde (Master thesis, 2011-10-07)HIV/AIDS har vært en av de største bekymringene til helsevesenet i moderne historie og er fremdeles, 30 år etter sin oppdagelse, en av de største helsebekymringene i samfunnet. Det har, naturlig nok, blitt utformet mange ... -
Mathematical aspects of localized activity in neural field models
Oleynik, Anna (PhD Thesis;2011:37, Doctoral thesis, 2011)Neural field models assume the form of integral and integro-differential equations, and describe non-linear interactions between neuron populations. Such models reduce the dimensionality and complexity of the microscopic ... -
Metamodels of Gene Regulatory Networks
Thinin, Linda (Master thesis, 2016)Hill-funksjonen er et sigmoid som er mye brukt i modellering av genetiske nettverk. I denne oppgaven presenteres genetiske nettverk beskrevet av differensialligninger. En metamodell for Hill-funksjonen er laget ved å bruke ... -
Methods of functional analysis in homogenized neural field theory
Burlakov, Evgenii (PhD Thesis;2016:66, Doctoral thesis, 2016-11-24)One of the major challenges in neurobiology remains understanding the relationship between complex neural network dynamics underlying spatially structured activity states and the corresponding neural circuitry for which ... -
Mie scatter corrections in single cell infrared microspectroscopy
Konevskikh, Tatiana; Lukacs, Rozalia; Blümel, Reinhold; Ponossov, Arkadi; Kohler, Achim (Journal article; Peer reviewed, 2016) -
Neural firing rate model with a steep firing rate function
Yousaf, Muhammad; Ponossov, Arkadi; Wyller, John Andreas; Einevoll, Gaute Tomas (Journal article; Peer reviewed, 2013)