Results 21 to 30 of about 874,409 (115)
A family tree of Markov models in systems biology [PDF]
IET Syst Biol. 1 (2007) 247-254, 2006 Motivated by applications in systems biology, we seek a probabilistic framework based on Markov processes to represent intracellular processes. We review the formal relationships between different stochastic models referred to in the systems biology literature. As part of this review, we present a novel derivation of the differential Chapman-Kolmogorov
arxiv +1 more source
Borges Dilemma, Fundamental Laws, and Systems Biology [PDF]
arXiv, 2007 I reason here that the known folk law in biology that there is no general law in biology because of exceptions is false. The (quantitative) systems biology offers the potential to solve the Borges Dilemma, by transcending it. There have already a plenty of indications on this trend.
arxiv
arXiv, 2014 It is often stated that there are no laws in biology, where everything is contingent and could have been otherwise, being solely the result of historical accidents. Furthermore, the customary introduction of fundamental biological entities such as individual organisms, cells, genes, catalysts and motors remains largely descriptive; constructive ...
arxiv
Computer algebra in systems biology [PDF]
arXiv, 2007 Systems biology focuses on the study of entire biological systems rather than on their individual components. With the emergence of high-throughput data generation technologies for molecular biology and the development of advanced mathematical modeling techniques, this field promises to provide important new insights.
arxiv
Loop Quantum Theory Applied to Biology and Nonlinear Whole Biology [PDF]
arXiv, 2008 The loop quantum theory, which constitutes a very small discontinuous space, as new method is applied to biology. The model of protein folding and lungs is proposed. In the model, some known results are used, and four approximate conclusions are obtained: their structures are quantized, their space regions are finite, various singularities correspond ...
arxiv
The challenges of purely mechanistic models in biology and the minimum need for a 'mechanism-plus-X' framework [PDF]
arXiv, 2019 Ever since the advent of molecular biology in the 1970s, mechanical models have become the dogma in the field, where a "true" understanding of any subject is equated to a mechanistic description. This has been to the detriment of the biomedical sciences, where, barring some exceptions, notable new feats of understanding have arguably not been achieved ...
arxiv
Life as Complex Systems --- Viewpoint from Intra-Inter Dynamics [PDF]
arXiv, 1998 Basic problems in complex systems are surveyed in connection with Life. As a key issue for complex systems, complementarity between syntax/rule/parts and semantics/behavior/whole is stressed. To address the issue, a constructive approach for a biological system is proposed.
arxiv
On applications of Ulam-Hyers stability in biology and economics [PDF]
arXiv, 2010 We argue that Ulam-Hyers stability concept is quite significant in realistic problems in numerical analysis, biology and economics. A generalization to nonlinear systems is proposed and applied to the logistic equation (both differential and difference), SIS epidemic model, Cournot model in economics and a reaction diffusion equation.
arxiv
Guidelines for benchmarking of optimization approaches for fitting mathematical models [PDF]
arXiv, 2019 Insufficient performance of optimization approaches for fitting of mathematical models is still a major bottleneck in systems biology. In this manuscript, the reasons and methodological challenges are summarized as well as their impact in benchmark studies. Important aspects for increasing evidence of outcomes of benchmark analyses are discussed. Based
arxiv
Paths to Unconventional Computing: Causality in Complexity [PDF]
arXiv, 2017 I describe my path to unconventionality in my exploration of theoretical and applied aspects of computation towards revealing the algorithmic and reprogrammable properties and capabilities of the world, in particular related to applications of algorithmic complexity in reshaping molecular biology and tackling the challenges of causality in science.
arxiv