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Set-valued Data
Since fuzzy sets are generalizations of ordinary sets, we present in this Chapter the essentials of random set theory for statistics. This material...
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Modeling of Fuzzy Data
Fuzzy data are imprecise data obtained from measurements, perception or by interviewing people. Typically, those data are expressed in linguistic...
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Fuzzy Statistical Analysis and Estimation
In social science research, many decisions, evaluations, or purposes of evaluations are done by surveys or questionnaires to seek for people’s...
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Tests of Hypothesis: Means
In many expositions of fuzzy methods, fuzzy techniques are described as an alternative to a more traditional statistical approach. In this chapter,...
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Fuzzy Time Series Analysis and Forecasting
The problem of system modeling and identification has attracted considerable attention during the past decades mostly because of a large number of...
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Checkpoint and Coordinated Cellular Responses to DNA Damage
The DNA damage and replication checkpoints are signaling mechanisms that regulate and coordinate cellular responses to genotoxic conditions. The...
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Regulation of S Phase
Regulation of DNA replication is critical for accurate and timely dissemination of genomic material to daughter cells. The cell uses a variety of...
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Control of Cell Proliferation and Growth by Myc Proteins
Myc proteins act as signal transducers that alter cell proliferation in dependence on signals from the extracellular environment. In normal cells,...
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The Retinoblastoma Gene Family in Cell Cycle Regulation and Suppression of Tumorigenesis
Since its discovery in 1986, as the first tumor suppressor gene, the retinoblastoma gene (Rb) has been extensively studied. Numerous biochemical and...
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Senescence and Cell Cycle Control
In response to various stresses, such as telomere shortening during continuous proliferation, oxidative stress, DNA damage and aberrant oncogene...
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Linear map**s on ordered vector spaces
Before we can start to analyze the generalized Riccati operators derived in the previous chapter, we have to deal with generalized Lyapunov operators...
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Optimal stabilization of linear stochastic systems
Having introduced and motivated our concepts of stochastic control systems in the previous chapter we now turn to optimal and suboptimal...
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Mouse Models of Cell Cycle Regulators: New Paradigms
In yeast, a single cyclin-dependent kinase (Cdk) is able to regulate diverse cell cycle transitions (S and M phases) by associating with multiple...
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Aspects of Statistical Inference
With the background in previous chapters, problems of statistical inference with fuzzy data should be somewhat straightforward in principle! By that...
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Convergence of Random Fuzzy Sets
As in Chapter 5, we view random fuzzy sets as generalizations of random closed sets on R d , or more generally on...
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Random Fuzzy Sets
Statistical models for observations which are numbers or vectors are random variables and random vectors, respectively. Similarly, if the...
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Aspects of stochastic control theory
In the present chapter, we introduce linear stochastic control systems and the corresponding notions of stability, stabilizability and detectability....
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G1 Phase: Components, Conundrums, Context
A eukaryotic cell must coordinate DNA synthesis and chromosomal segregation to generate a faithful replica of itself. These events are confined to...
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The ubiquitin-proteasome pathway in cell cycle control
Ubiquitin-mediated proteolysis is one of the key mechanisms underlying cell cycle control. The removal of barriers posed by accumulation of...
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Protein Kinases Involved in Mitotic Spindle Checkpoint Regulation
A number of checkpoint controls function to preserve the genome by restraining cell cycle progression until prerequisite events have been properly...