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P Chen - One of the best experts on this subject based on the ideXlab platform.
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P (2013) Numerical modeling of interstitial fluid flow coupled with blood flow through a remodeled solid tumor microvascular network. PloS one 8: e67025
2016Co-Authors: M Soltani, P ChenAbstract:Modeling of interstitial fluid flow involves processes such as fluid diffusion, convective transport in extracellular matrix, and extravasation from blood vessels. To date, majority of microvascular flow modeling has been done at different levels and scales mostly on simple tumor shapes with their capillaries. However, with our proposed numerical model, more complex and realistic tumor shapes and capillary networks can be studied. Both blood flow through a capillary network, which is induced by a solid tumor, and fluid flow in tumor’s surrounding tissue are formulated. First, governing equations of angiogenesis are implemented to specify the different domains for the network and interstitium. Then, governing equations for flow modeling are introduced for different domains. The conservation laws for mass and momentum (including continuity equation, Darcy’s law for tissue, and simplified Navier–Stokes equation for blood flow through capillaries) are used for simulating interstitial and intravascular flows and Starling’s law is used for closing this system of equations and coupling the intravascular and extravascular flows. This is the first study of flow modeling in solid tumors to naturalistically couple intravascular and extravascular flow through a network. This network is generated by sprouting angiogenesis and consisting of one parent vessel connected to the network while taking into account the non-Continuous Behavior of blood, adaptability of capillary diameter to hemodynamics and metabolic stimuli, non-Newtonian blood flow, and phase separation of blood flow in capillary bifurcation. The incorporation of the outlined components beyond the previou
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numerical modeling of interstitial fluid flow coupled with blood flow through a remodeled solid tumor microvascular network
PLOS ONE, 2013Co-Authors: M Soltani, P ChenAbstract:Modeling of interstitial fluid flow involves processes such as fluid diffusion, convective transport in extracellular matrix, and extravasation from blood vessels. To date, majority of microvascular flow modeling has been done at different levels and scales mostly on simple tumor shapes with their capillaries. However, with our proposed numerical model, more complex and realistic tumor shapes and capillary networks can be studied. Both blood flow through a capillary network, which is induced by a solid tumor, and fluid flow in tumor’s surrounding tissue are formulated. First, governing equations of angiogenesis are implemented to specify the different domains for the network and interstitium. Then, governing equations for flow modeling are introduced for different domains. The conservation laws for mass and momentum (including continuity equation, Darcy’s law for tissue, and simplified Navier–Stokes equation for blood flow through capillaries) are used for simulating interstitial and intravascular flows and Starling’s law is used for closing this system of equations and coupling the intravascular and extravascular flows. This is the first study of flow modeling in solid tumors to naturalistically couple intravascular and extravascular flow through a network. This network is generated by sprouting angiogenesis and consisting of one parent vessel connected to the network while taking into account the non-Continuous Behavior of blood, adaptability of capillary diameter to hemodynamics and metabolic stimuli, non-Newtonian blood flow, and phase separation of blood flow in capillary bifurcation. The incorporation of the outlined components beyond the previous models provides a more realistic prediction of interstitial fluid flow pattern in solid tumors and surrounding tissues. Results predict higher interstitial pressure, almost two times, for realistic model compared to the simplified model.
M Soltani - One of the best experts on this subject based on the ideXlab platform.
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P (2013) Numerical modeling of interstitial fluid flow coupled with blood flow through a remodeled solid tumor microvascular network. PloS one 8: e67025
2016Co-Authors: M Soltani, P ChenAbstract:Modeling of interstitial fluid flow involves processes such as fluid diffusion, convective transport in extracellular matrix, and extravasation from blood vessels. To date, majority of microvascular flow modeling has been done at different levels and scales mostly on simple tumor shapes with their capillaries. However, with our proposed numerical model, more complex and realistic tumor shapes and capillary networks can be studied. Both blood flow through a capillary network, which is induced by a solid tumor, and fluid flow in tumor’s surrounding tissue are formulated. First, governing equations of angiogenesis are implemented to specify the different domains for the network and interstitium. Then, governing equations for flow modeling are introduced for different domains. The conservation laws for mass and momentum (including continuity equation, Darcy’s law for tissue, and simplified Navier–Stokes equation for blood flow through capillaries) are used for simulating interstitial and intravascular flows and Starling’s law is used for closing this system of equations and coupling the intravascular and extravascular flows. This is the first study of flow modeling in solid tumors to naturalistically couple intravascular and extravascular flow through a network. This network is generated by sprouting angiogenesis and consisting of one parent vessel connected to the network while taking into account the non-Continuous Behavior of blood, adaptability of capillary diameter to hemodynamics and metabolic stimuli, non-Newtonian blood flow, and phase separation of blood flow in capillary bifurcation. The incorporation of the outlined components beyond the previou
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numerical modeling of interstitial fluid flow coupled with blood flow through a remodeled solid tumor microvascular network
PLOS ONE, 2013Co-Authors: M Soltani, P ChenAbstract:Modeling of interstitial fluid flow involves processes such as fluid diffusion, convective transport in extracellular matrix, and extravasation from blood vessels. To date, majority of microvascular flow modeling has been done at different levels and scales mostly on simple tumor shapes with their capillaries. However, with our proposed numerical model, more complex and realistic tumor shapes and capillary networks can be studied. Both blood flow through a capillary network, which is induced by a solid tumor, and fluid flow in tumor’s surrounding tissue are formulated. First, governing equations of angiogenesis are implemented to specify the different domains for the network and interstitium. Then, governing equations for flow modeling are introduced for different domains. The conservation laws for mass and momentum (including continuity equation, Darcy’s law for tissue, and simplified Navier–Stokes equation for blood flow through capillaries) are used for simulating interstitial and intravascular flows and Starling’s law is used for closing this system of equations and coupling the intravascular and extravascular flows. This is the first study of flow modeling in solid tumors to naturalistically couple intravascular and extravascular flow through a network. This network is generated by sprouting angiogenesis and consisting of one parent vessel connected to the network while taking into account the non-Continuous Behavior of blood, adaptability of capillary diameter to hemodynamics and metabolic stimuli, non-Newtonian blood flow, and phase separation of blood flow in capillary bifurcation. The incorporation of the outlined components beyond the previous models provides a more realistic prediction of interstitial fluid flow pattern in solid tumors and surrounding tissues. Results predict higher interstitial pressure, almost two times, for realistic model compared to the simplified model.
C A Marx - One of the best experts on this subject based on the ideXlab platform.
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analytic quasi perodic cocycles with singularities and the lyapunov exponent of extended harper s model
Communications in Mathematical Physics, 2012Co-Authors: Svetlana Jitomirskaya, C A MarxAbstract:We show how to extend (and with what limitations) Avila’s global theory of analytic SL(2,C) cocycles to families of cocycles with singularities. This allows us to develop a strategy to determine the Lyapunov exponent for the extended Harper’s model, for all values of parameters and all irrational frequencies. In particular, this includes the self-dual regime for which even heuristic results did not previously exist in physics literature. The extension of Avila’s global theory is also shown to imply Continuous Behavior of the LE on the space of analytic $${M_2(\mathbb{C})}$$ -cocycles. This includes rational approximation of the frequency, which so far has not been available.
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analytic quasi perodic cocycles with singularities and the lyapunov exponent of extended harper s model
arXiv: Mathematical Physics, 2010Co-Authors: Svetlana Jitomirskaya, C A MarxAbstract:We show how to extend (and with what limitations) Avila's global theory of analytic SL(2,C) cocycles to families of cocycles with singularities. This allows us to develop a strategy to determine the Lyapunov exponent for extended Harper's model, for all values of parameters and all irrational frequencies. In particular, this includes the self-dual regime for which even heuristic results did not previously exist in physics literature. The extension of Avila's global theory is also shown to imply Continuous Behavior of the LE on the space of analytic $M_2(\mathbb{C})$-cocycles. This includes rational approximation of the frequency, which so far has not been available.
Svetlana Jitomirskaya - One of the best experts on this subject based on the ideXlab platform.
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analytic quasi perodic cocycles with singularities and the lyapunov exponent of extended harper s model
Communications in Mathematical Physics, 2012Co-Authors: Svetlana Jitomirskaya, C A MarxAbstract:We show how to extend (and with what limitations) Avila’s global theory of analytic SL(2,C) cocycles to families of cocycles with singularities. This allows us to develop a strategy to determine the Lyapunov exponent for the extended Harper’s model, for all values of parameters and all irrational frequencies. In particular, this includes the self-dual regime for which even heuristic results did not previously exist in physics literature. The extension of Avila’s global theory is also shown to imply Continuous Behavior of the LE on the space of analytic $${M_2(\mathbb{C})}$$ -cocycles. This includes rational approximation of the frequency, which so far has not been available.
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analytic quasi perodic cocycles with singularities and the lyapunov exponent of extended harper s model
arXiv: Mathematical Physics, 2010Co-Authors: Svetlana Jitomirskaya, C A MarxAbstract:We show how to extend (and with what limitations) Avila's global theory of analytic SL(2,C) cocycles to families of cocycles with singularities. This allows us to develop a strategy to determine the Lyapunov exponent for extended Harper's model, for all values of parameters and all irrational frequencies. In particular, this includes the self-dual regime for which even heuristic results did not previously exist in physics literature. The extension of Avila's global theory is also shown to imply Continuous Behavior of the LE on the space of analytic $M_2(\mathbb{C})$-cocycles. This includes rational approximation of the frequency, which so far has not been available.
Yunwei Dong - One of the best experts on this subject based on the ideXlab platform.
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Chinese Academy of Sciences
2016Co-Authors: Ehsan Ahmad, Brian R Larson, Stephen C Barrett, Naijun Zhan, Yunwei DongAbstract:Correct design, and system-level dependability prediction of highly-integrated systems demand the collocation of require-ments and architectural artifacts within an integrated devel-opment environment. Hybrid systems, having dependencies and extensive interactions between their control portion and their environment, further intensify this need. AADL is a model-based engineering language for the ar-chitectural design and analysis of embedded control systems. Core AADL has been extended with a mechanism for dis-crete Behavioral modeling and analysis of control systems, but not for the Continuous Behavior of the physical envi-ronment. In this paper, we introduce a lightweight language extension to AADL called the Hybrid Annex for Continuous-time modeling, fulfilling the need for integrated modeling of the computing system along with its physical environment in their respective domains. The Isolette system described in the FAA Requirement Engineering Management Handbook is used to illustrate Continuous Behavior modeling with th
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hybrid annex an aadl extension for Continuous Behavior and cyber physical interaction modeling
ACM Sigada Ada Letters, 2014Co-Authors: Ehsan Ahmad, Brian R Larson, Stephen C Barrett, Naijun Zhan, Yunwei DongAbstract:Correct design, and system-level dependability prediction of highly-integrated systems demand the collocation of requirements and architectural artifacts within an integrated development environment. Hybrid systems, having dependencies and extensive interactions between their control portion and their environment, further intensify this need. AADL is a model-based engineering language for the architectural design and analysis of embedded control systems. Core AADL has been extended with a mechanism for discrete Behavioral modeling and analysis of control systems, but not for the Continuous Behavior of the physical environment. In this paper, we introduce a lightweight language extension to AADL called the Hybrid Annex for Continuous-time modeling, fulfilling the need for integrated modeling of the computing system along with its physical environment in their respective domains. The Isolette system described in the FAA Requirement Engineering Management Handbook is used to illustrate Continuous Behavior modeling with the proposed Hybrid Annex.
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hybrid annex an aadl extension for Continuous Behavior and cyber physical interaction modeling
ACM Sigada Ada Letters, 2014Co-Authors: Ehsan Ahmad, Brian R Larson, Stephen C Barrett, Naijun Zhan, Yunwei DongAbstract:Correct design, and system-level dependability prediction of highly-integrated systems demand the collocation of requirements and architectural artifacts within an integrated development environment. Hybrid systems, having dependencies and extensive interactions between their control portion and their environment, further intensify this need.AADL is a model-based engineering language for the architectural design and analysis of embedded control systems. Core AADL has been extended with a mechanism for discrete Behavioral modeling and analysis of control systems, but not for the Continuous Behavior of the physical environment. In this paper, we introduce a lightweight language extension to AADL called the Hybrid Annex for Continuous-time modeling, fulfilling the need for integrated modeling of the computing system along with its physical environment in their respective domains. The Isolette system described in the FAA Requirement Engineering Management Handbook is used to illustrate Continuous Behavior modeling with the proposed Hybrid Annex.