The Experts below are selected from a list of 96009 Experts worldwide ranked by ideXlab platform
Lingchong You - One of the best experts on this subject based on the ideXlab platform.
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a noisy Linear Map underlies oscillations in cell size and gene expression in bacteria
Nature, 2015Co-Authors: Yu Tanouchi, Anand Pai, Heungwon Park, Shuqiang Huang, Rumen Stamatov, Nicolas E Buchler, Lingchong YouAbstract:During bacterial growth, a cell approximately doubles in size before division, after which it splits into two daughter cells. This process is subjected to the inherent perturbations of cellular noise and thus requires regulation for cell-size homeostasis. The mechanisms underlying the control and dynamics of cell size remain poorly understood owing to the difficulty in sizing individual bacteria over long periods of time in a high-throughput manner. Here we measure and analyse long-term, single-cell growth and division across different Escherichia coli strains and growth conditions. We show that a subset of cells in a population exhibit transient oscillations in cell size with periods that stretch across several (more than ten) generations. Our analysis reveals that a simple law governing cell-size control-a noisy Linear Map-explains the origins of these cell-size oscillations across all strains. This noisy Linear Map implements a negative feedback on cell-size control: a cell with a larger initial size tends to divide earlier, whereas one with a smaller initial size tends to divide later. Combining simulations of cell growth and division with experimental data, we demonstrate that this noisy Linear Map generates transient oscillations, not just in cell size, but also in constitutive gene expression. Our work provides new insights into the dynamics of bacterial cell-size regulation with implications for the physiological processes involved.
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a noisy Linear Map underlies oscillations in cell size and gene expression in bacteria
Nature, 2015Co-Authors: Yu Tanouchi, Anand Pai, Heungwon Park, Shuqiang Huang, Rumen Stamatov, Nicolas E Buchler, Lingchong YouAbstract:Quantification of single-cell growth over long periods of time in E. coli shows transient oscillations in cell size, with periods stretching across more than ten generations; a noisy negative feedback on cell-size control is proposed in which cells with a small initial size tend to divide later than cells with a large initial size with implications for the genetic and physiological processes required. Bacterial cells roughly double in size prior to each division but the process is inherently noisy and mechanisms ensuring cell size homeostasis are unknown. Now Lingchong You and colleagues have quantified single-cell growth over long periods of time in Escherichia coli, and describe transient oscillations with periods stretching across more than ten generations. Combining computer models with quantitative data, the authors propose a noisy negative feedback on cell-size control — small new-born cells tend to divide later than large new-born cells — with implications for the genetic and physiological processes required. During bacterial growth, a cell approximately doubles in size before division, after which it splits into two daughter cells. This process is subjected to the inherent perturbations of cellular noise1,2 and thus requires regulation for cell-size homeostasis. The mechanisms underlying the control and dynamics of cell size remain poorly understood owing to the difficulty in sizing individual bacteria over long periods of time in a high-throughput manner. Here we measure and analyse long-term, single-cell growth and division across different Escherichia coli strains and growth conditions3. We show that a subset of cells in a population exhibit transient oscillations in cell size with periods that stretch across several (more than ten) generations. Our analysis reveals that a simple law governing cell-size control—a noisy Linear Map—explains the origins of these cell-size oscillations across all strains. This noisy Linear Map implements a negative feedback on cell-size control: a cell with a larger initial size tends to divide earlier, whereas one with a smaller initial size tends to divide later. Combining simulations of cell growth and division with experimental data, we demonstrate that this noisy Linear Map generates transient oscillations, not just in cell size, but also in constitutive gene expression. Our work provides new insights into the dynamics of bacterial cell-size regulation with implications for the physiological processes involved.
Mohammad Sal Moslehian - One of the best experts on this subject based on the ideXlab platform.
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a gruss inequality for n positive Linear Maps
Linear Algebra and its Applications, 2010Co-Authors: Mohammad Sal Moslehian, Rajna RajicAbstract:Abstract Let A be a unital C ∗ -algebra and let Φ : A → B ( H ) be a unital n-positive Linear Map between C ∗ -algebras for some n ⩾ 3 . We show that ‖ Φ ( AB ) - Φ ( A ) Φ ( B ) ‖ ⩽ Δ ( A , | | · | | ) Δ ( B , | | · | | ) for all operators A , B ∈ A , where Δ ( C , ‖ · ‖ ) denotes the operator norm distance of C from the scalar operators.
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a gruss inequality for n positive Linear Maps
arXiv: Operator Algebras, 2010Co-Authors: Mohammad Sal Moslehian, Rajna RajicAbstract:Let $\mathscr{A}$ be a unital $C^*$-algebra and let $\Phi: \mathscr{A} \to {\mathbb B}({\mathscr H})$ be a unital $n$-positive Linear Map between $C^*$-algebras for some $n \geq 3$. We show that $$\|\Phi(AB)-\Phi(A)\Phi(B)\| \leq \Delta(A,||\cdot||)\,\Delta(B,||\cdot||)$$ for all operators $A, B \in \mathscr{A}$, where $\Delta(C,\|\cdot\|)$ denotes the operator norm distance of $C$ from the scalar operators.
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on automatic continuity of 3 homomorphisms on banach algebras
Structural and Multidisciplinary Optimization, 2007Co-Authors: Janko Bracic, Mohammad Sal MoslehianAbstract:A Linear Map ' : A ! B between (Banach) algebras is called 3- homomorphism if '(abc) = '(a)'(b)'(c) for each a,b,c 2 A. We investigate 3- homomorphisms on Banach algebras with bounded approximate identities and establish in two ways (for unital and non-unital cases) that every involution preserving homomorphism between C -algebras is norm decreasing.
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on automatic continuity of 3 homomorphisms on banach algebras
arXiv: Functional Analysis, 2006Co-Authors: Janko Bracic, Mohammad Sal MoslehianAbstract:A Linear Map $\phi:{\mathcal A}\to {\mathcal B} $ between (Banach) algebras is called 3-homomorphism if $\phi(abc)=\phi(a)\phi(b)\phi(c)$ for each $a, b, c \in {\mathcal A}$. We investigate 3-homomorphisms on Banach algebras with bounded approximate identities and establish in two ways that every involution preserving homomorphism between $C^*$-algebras is norm decreasing.
Yu Tanouchi - One of the best experts on this subject based on the ideXlab platform.
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a noisy Linear Map underlies oscillations in cell size and gene expression in bacteria
Nature, 2015Co-Authors: Yu Tanouchi, Anand Pai, Heungwon Park, Shuqiang Huang, Rumen Stamatov, Nicolas E Buchler, Lingchong YouAbstract:During bacterial growth, a cell approximately doubles in size before division, after which it splits into two daughter cells. This process is subjected to the inherent perturbations of cellular noise and thus requires regulation for cell-size homeostasis. The mechanisms underlying the control and dynamics of cell size remain poorly understood owing to the difficulty in sizing individual bacteria over long periods of time in a high-throughput manner. Here we measure and analyse long-term, single-cell growth and division across different Escherichia coli strains and growth conditions. We show that a subset of cells in a population exhibit transient oscillations in cell size with periods that stretch across several (more than ten) generations. Our analysis reveals that a simple law governing cell-size control-a noisy Linear Map-explains the origins of these cell-size oscillations across all strains. This noisy Linear Map implements a negative feedback on cell-size control: a cell with a larger initial size tends to divide earlier, whereas one with a smaller initial size tends to divide later. Combining simulations of cell growth and division with experimental data, we demonstrate that this noisy Linear Map generates transient oscillations, not just in cell size, but also in constitutive gene expression. Our work provides new insights into the dynamics of bacterial cell-size regulation with implications for the physiological processes involved.
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a noisy Linear Map underlies oscillations in cell size and gene expression in bacteria
Nature, 2015Co-Authors: Yu Tanouchi, Anand Pai, Heungwon Park, Shuqiang Huang, Rumen Stamatov, Nicolas E Buchler, Lingchong YouAbstract:Quantification of single-cell growth over long periods of time in E. coli shows transient oscillations in cell size, with periods stretching across more than ten generations; a noisy negative feedback on cell-size control is proposed in which cells with a small initial size tend to divide later than cells with a large initial size with implications for the genetic and physiological processes required. Bacterial cells roughly double in size prior to each division but the process is inherently noisy and mechanisms ensuring cell size homeostasis are unknown. Now Lingchong You and colleagues have quantified single-cell growth over long periods of time in Escherichia coli, and describe transient oscillations with periods stretching across more than ten generations. Combining computer models with quantitative data, the authors propose a noisy negative feedback on cell-size control — small new-born cells tend to divide later than large new-born cells — with implications for the genetic and physiological processes required. During bacterial growth, a cell approximately doubles in size before division, after which it splits into two daughter cells. This process is subjected to the inherent perturbations of cellular noise1,2 and thus requires regulation for cell-size homeostasis. The mechanisms underlying the control and dynamics of cell size remain poorly understood owing to the difficulty in sizing individual bacteria over long periods of time in a high-throughput manner. Here we measure and analyse long-term, single-cell growth and division across different Escherichia coli strains and growth conditions3. We show that a subset of cells in a population exhibit transient oscillations in cell size with periods that stretch across several (more than ten) generations. Our analysis reveals that a simple law governing cell-size control—a noisy Linear Map—explains the origins of these cell-size oscillations across all strains. This noisy Linear Map implements a negative feedback on cell-size control: a cell with a larger initial size tends to divide earlier, whereas one with a smaller initial size tends to divide later. Combining simulations of cell growth and division with experimental data, we demonstrate that this noisy Linear Map generates transient oscillations, not just in cell size, but also in constitutive gene expression. Our work provides new insights into the dynamics of bacterial cell-size regulation with implications for the physiological processes involved.
Tatsushi Tanaka - One of the best experts on this subject based on the ideXlab platform.
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rooted tree Maps and the derivation relation for multiple zeta values
International Journal of Number Theory, 2018Co-Authors: Henrik Bachmann, Tatsushi TanakaAbstract:Rooted tree Maps assign to an element of the Connes–Kreimer Hopf algebra of rooted trees a Linear Map on the noncommutative polynomial algebra in two letters. Evaluated at any admissible word, thes...
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rooted tree Maps and the derivation relation for multiple zeta values
arXiv: Number Theory, 2017Co-Authors: Henrik Bachmann, Tatsushi TanakaAbstract:Rooted tree Maps assign to an element of the Connes-Kreimer Hopf algebra of rooted trees a Linear Map on the noncommutative polynomial algebra in two letters. Evaluated at any admissible word these Maps induce Linear relations between multiple zeta values. In this note we show that the derivation relations for multiple zeta values are contained in this class of Linear relations.
Nicolas E Buchler - One of the best experts on this subject based on the ideXlab platform.
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a noisy Linear Map underlies oscillations in cell size and gene expression in bacteria
Nature, 2015Co-Authors: Yu Tanouchi, Anand Pai, Heungwon Park, Shuqiang Huang, Rumen Stamatov, Nicolas E Buchler, Lingchong YouAbstract:During bacterial growth, a cell approximately doubles in size before division, after which it splits into two daughter cells. This process is subjected to the inherent perturbations of cellular noise and thus requires regulation for cell-size homeostasis. The mechanisms underlying the control and dynamics of cell size remain poorly understood owing to the difficulty in sizing individual bacteria over long periods of time in a high-throughput manner. Here we measure and analyse long-term, single-cell growth and division across different Escherichia coli strains and growth conditions. We show that a subset of cells in a population exhibit transient oscillations in cell size with periods that stretch across several (more than ten) generations. Our analysis reveals that a simple law governing cell-size control-a noisy Linear Map-explains the origins of these cell-size oscillations across all strains. This noisy Linear Map implements a negative feedback on cell-size control: a cell with a larger initial size tends to divide earlier, whereas one with a smaller initial size tends to divide later. Combining simulations of cell growth and division with experimental data, we demonstrate that this noisy Linear Map generates transient oscillations, not just in cell size, but also in constitutive gene expression. Our work provides new insights into the dynamics of bacterial cell-size regulation with implications for the physiological processes involved.
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a noisy Linear Map underlies oscillations in cell size and gene expression in bacteria
Nature, 2015Co-Authors: Yu Tanouchi, Anand Pai, Heungwon Park, Shuqiang Huang, Rumen Stamatov, Nicolas E Buchler, Lingchong YouAbstract:Quantification of single-cell growth over long periods of time in E. coli shows transient oscillations in cell size, with periods stretching across more than ten generations; a noisy negative feedback on cell-size control is proposed in which cells with a small initial size tend to divide later than cells with a large initial size with implications for the genetic and physiological processes required. Bacterial cells roughly double in size prior to each division but the process is inherently noisy and mechanisms ensuring cell size homeostasis are unknown. Now Lingchong You and colleagues have quantified single-cell growth over long periods of time in Escherichia coli, and describe transient oscillations with periods stretching across more than ten generations. Combining computer models with quantitative data, the authors propose a noisy negative feedback on cell-size control — small new-born cells tend to divide later than large new-born cells — with implications for the genetic and physiological processes required. During bacterial growth, a cell approximately doubles in size before division, after which it splits into two daughter cells. This process is subjected to the inherent perturbations of cellular noise1,2 and thus requires regulation for cell-size homeostasis. The mechanisms underlying the control and dynamics of cell size remain poorly understood owing to the difficulty in sizing individual bacteria over long periods of time in a high-throughput manner. Here we measure and analyse long-term, single-cell growth and division across different Escherichia coli strains and growth conditions3. We show that a subset of cells in a population exhibit transient oscillations in cell size with periods that stretch across several (more than ten) generations. Our analysis reveals that a simple law governing cell-size control—a noisy Linear Map—explains the origins of these cell-size oscillations across all strains. This noisy Linear Map implements a negative feedback on cell-size control: a cell with a larger initial size tends to divide earlier, whereas one with a smaller initial size tends to divide later. Combining simulations of cell growth and division with experimental data, we demonstrate that this noisy Linear Map generates transient oscillations, not just in cell size, but also in constitutive gene expression. Our work provides new insights into the dynamics of bacterial cell-size regulation with implications for the physiological processes involved.
