Markus Kirkilionis

ORCID: 0000-0002-0223-9774
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Research Areas
  • Gene Regulatory Network Analysis
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Microbial Metabolic Engineering and Bioproduction
  • Bioinformatics and Genomic Networks
  • Mathematical Biology Tumor Growth
  • Evolution and Genetic Dynamics
  • COVID-19 epidemiological studies
  • Advanced Thermodynamics and Statistical Mechanics
  • Anomaly Detection Techniques and Applications
  • Microtubule and mitosis dynamics
  • Photosynthetic Processes and Mechanisms
  • Advanced Numerical Methods in Computational Mathematics
  • Spectral Theory in Mathematical Physics
  • Numerical methods for differential equations
  • Evolutionary Game Theory and Cooperation
  • Matrix Theory and Algorithms
  • Differential Equations and Boundary Problems
  • Cellular Mechanics and Interactions
  • Evolutionary Algorithms and Applications
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Dynamics and Pattern Formation
  • Numerical methods in engineering
  • demographic modeling and climate adaptation
  • stochastic dynamics and bifurcation
  • Mathematical and Theoretical Analysis

University of Warwick
2004-2021

Heidelberg University
2000-2001

Utrecht University
2000

Centrum Wiskunde & Informatica
1997

Cyanobacteria possess a differentiated membrane system and transport proteins into both the periplasm thylakoid lumen. We have used green fluorescent protein (GFP)-tagged constructs to study Tat transporter Rieske substrates in Synechocystis PCC6803. The has been shown operate plasma membrane; we show here that it is also relatively abundant network, indicating newly synthesized are targeted systems. contains three iron-sulphur proteins, all of which contain typical twin-arginine signal-like...

10.1111/j.1365-2958.2008.06401.x article EN Molecular Microbiology 2008-08-11

10.1007/s00285-008-0234-7 article EN Journal of Mathematical Biology 2008-11-20

10.1007/s002850070003 article EN Journal of Mathematical Biology 2000-08-01

Summary One of the most difficult obstacles to make biological sciences more quantitative is lack understanding interplay form and function. Each cell full complex‐shaped objects, which moreover change their over time. To tackle this problem, we suggest use geometric invariants that are able produce precise reference points compare a cell's different functional elements such as organelles under fixed varying physiological conditions. In paper, look at topology an almost static sample plant...

10.1111/j.1365-2818.2009.03158.x article EN Journal of Microscopy 2009-04-22

In this paper, we present methods for a numerical equilibrium and stability analysis models of size structured population competing an unstructured resource. We concentrate on cases where two model parameters are free, thus existence boundaries equilibria can be defined in the (two-parameter) plane. numerically trace these implicitly curves using alternatingly tangent prediction Newton correction. Evaluation maps defining involves integration over individual survival probability (and their...

10.1007/s11538-009-9445-3 article EN cc-by-nc Bulletin of Mathematical Biology 2009-07-30

The paper introduces a new numerical method for continuation of equilibria models describing physiologically structured populations. To describe such populations, we use integral equations coupled with each other via interaction (or feedback) variables. Additionally allow unstructured described by ordinary differential equations. variables are chosen that if they given functions time, the resulting decoupled becomes linear. Our procedure to approximate an equilibrium which will this special...

10.1142/s0218202501001264 article EN Mathematical Models and Methods in Applied Sciences 2001-08-01

10.1016/j.jmaa.2004.06.025 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2004-09-28

Different types of macroscopic reaction kinetics can be derived from microscopic molecular interactions, with the law mass action being most widely used one in standard situations. After such a modeling step, where primarily reactions are identified, it becomes problem to analyse qualitative properties complete regulatory networks. This has tackled, because chemical networks play part some fundamental cellular processes as cell metabolism and regulation signalling processes. paper discusses...

10.3934/nhm.2008.3.295 article EN Networks and Heterogeneous Media 2008-01-01

10.1007/s12064-008-0036-x article EN Theory in Biosciences 2008-04-29

In this paper we consider deterministic limits of molecular stochastic systems with finite and infinite degrees freedom. The method to obtain the vector field is based on continuum limit such microscopic which has been derived in [11]. With aid theory finally develop a new approach for that describe typical enzyme kinetics or other interactions between machines like genetic elements smaller communicating molecules. contrast literature resulting functional responses are not by time-scale...

10.48550/arxiv.0802.4279 preprint EN other-oa arXiv (Cornell University) 2008-01-01

The thylakoid membrane forms stacked thylakoids interconnected by 'stromal' lamellae. Little is known about the mobility of proteins within this system. We studied a stromal lamellae protein, Hcf106, targeting an Hcf106-GFP fusion protein to and photobleaching. find that even small regions fail recover fluorescence over periods up 3 min after thus either immobile membrane, or its diffusion tightly restricted distinct regions. Autofluorescence from photosystem II light-harvesting complex in...

10.1016/j.febslet.2009.10.057 article EN FEBS Letters 2009-10-23

Journal Article A mesh-free partition of unity method for diffusion equations on complex domains Get access M. Eigel, Eigel † Mathematics Institute, University Warwick, Zeeman Building, Coventry CV4 7AL, UK †Email: eigel@maths.warwick.ac.uk Search other works by this author on: Oxford Academic Google Scholar E. George, George Kirkilionis IMA Numerical Analysis, Volume 30, Issue 3, July 2010, Pages 629–653, https://doi.org/10.1093/imanum/drn053 Published: 06 March 2009 history Received: 14...

10.1093/imanum/drn053 article EN IMA Journal of Numerical Analysis 2009-03-06

Time-continuous dynamical systems defined on graphs are often used to model complex with many interacting components in a non-spatial context. In the reverse sense attaching meaningful dynamics given "interaction diagrams" is central bottleneck problem application areas, especially cell biology where various such diagrams different conventions describing molecular regulation presently use. most situations these can only be interpreted by use of both discrete and continuous variables during...

10.1142/s0219525910002669 article EN Advances in Complex Systems 2010-06-01

The paper analyses stochastic systems describing reacting molecular with a combination of two types state spaces, finite-dimensional, and an infinite dimenional part. As typical situation consider the interaction larger macro-molecules, finite small in numbers per cell (like protein complexes), smaller, very abundant molecules, for example metabolites. We study construction continuum approximation associated Master Equation (ME) by using Trotter [27]. limit shows regimes where degrees...

10.48550/arxiv.0802.4259 preprint EN other-oa arXiv (Cornell University) 2008-01-01

In this paper, we consider the fast computation of integral terms arising in simulations structured populations modeled by integro-differential equations. This is enormous relevance for demographic studies which are a large number variables (often called i-states) like age, gender, income etc. holds equally applications ecology and biotechnology. paper will concentrate on an example describing microbial growth. For class problems apply panel clustering method that has str almost linear...

10.1142/s0218202506001789 article EN Mathematical Models and Methods in Applied Sciences 2006-12-01
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