Mathematical Method

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Clifford C Dacso - One of the best experts on this subject based on the ideXlab platform.

  • a novel Mathematical Method for disclosing oscillations in gene transcription a comparative study
    PLOS ONE, 2018
    Co-Authors: A C Antoulas, Qiang Zhang, Brian York, Bert W Omalley, Clifford C Dacso
    Abstract:

    Circadian rhythmicity, the 24-hour cycle responsive to light and dark, is determined by periodic oscillations in gene transcription. This phenomenon has broad ramifications in physiologic function. Recent work has disclosed more cycles in gene transcription, and to the uncovering of these we apply a novel signal processing Methodology known as the pencil Method and compare it to conventional parametric, nonparametric, and statistical Methods. Methods: In order to assess periodicity of gene expression over time, we analyzed a database derived from livers of mice entrained to a 12-hour light/12-hour dark cycle. We also analyzed artificially generated signals to identify differences between the pencil decomposition and other alternative Methods. Results: The pencil decomposition revealed hitherto-unsuspected oscillations in gene transcription with 12-hour periodicity. The pencil Method was robust in detecting the 24-hour circadian cycle that was known to exist, as well as confirming the existence of shorter-period oscillations. A key consequence of this approach is that orthogonality of the different oscillatory components can be demonstrated. thus indicating a biological independence of these oscillations, that has been subsequently confirmed empirically by knocking out the gene responsible for the 24-hour clock. Conclusion: System identification techniques can be applied to biological systems and can uncover important characteristics that may elude visual inspection of the data. Significance: The pencil Method provides new insights on the essence of gene expression and discloses a wide variety of oscillations in addition to the well-studied circadian pattern. This insight opens the door to the study of novel mechanisms by which oscillatory gene expression signals exert their regulatory effect on cells to influence human diseases.

  • a novel Mathematical Method for disclosing oscillations in gene transcription a comparative study
    bioRxiv, 2017
    Co-Authors: A C Antoulas, Qiang Zhang, Brian York, Bert W Omalley, Clifford C Dacso
    Abstract:

    Circadian rhythmicity, the 24-hour cycle responsive to light and dark, is contributed to by periodic oscillations in gene transcription. This phenomenon has broad ramifications in physiologic function. Recent work has disclosed more cycles in gene transcription and to the uncovering of these we apply a novel signal processing Methodology known as the pencil Method. Methods: In order to assess periodicity of gene expression over time, we analyzed a database derived from livers of mice entrained to a 12 hour light/12 hour dark cycle. We also analyzed artificially generated signals to identify differences between the pencil decomposition and other similar Methods. Results: The pencil decomposition revealed hitherto unsuspected oscillations in gene transcription with 12 periodicity. The pencil Method was robust in detecting the 24 hour circadian cycle that was known to exist as well as confirming the existence of shorter period oscillations. A key consequence of this approach is that orthogonality of the different oscillatory components can be demonstrated, This indicates a biological independence of these oscillations, which has been subsequently confirmed empirically by knocking out the gene responsible for the 24 hour clock. Conclusion: system identification techniques can be applied to biological systems and can uncover important characteristics that may elude visual inspection of the data. Significance: The pencil Method provides new insights on the essence of gene expression and discloses a wide variety of oscillations in addition to the well-studied circadian pattern. This insight opens the door to the study of novel mechanisms by which oscillatory gene expression signals exert their regulatory effect on cells to influence human diseases.

A C Antoulas - One of the best experts on this subject based on the ideXlab platform.

  • a novel Mathematical Method for disclosing oscillations in gene transcription a comparative study
    PLOS ONE, 2018
    Co-Authors: A C Antoulas, Qiang Zhang, Brian York, Bert W Omalley, Clifford C Dacso
    Abstract:

    Circadian rhythmicity, the 24-hour cycle responsive to light and dark, is determined by periodic oscillations in gene transcription. This phenomenon has broad ramifications in physiologic function. Recent work has disclosed more cycles in gene transcription, and to the uncovering of these we apply a novel signal processing Methodology known as the pencil Method and compare it to conventional parametric, nonparametric, and statistical Methods. Methods: In order to assess periodicity of gene expression over time, we analyzed a database derived from livers of mice entrained to a 12-hour light/12-hour dark cycle. We also analyzed artificially generated signals to identify differences between the pencil decomposition and other alternative Methods. Results: The pencil decomposition revealed hitherto-unsuspected oscillations in gene transcription with 12-hour periodicity. The pencil Method was robust in detecting the 24-hour circadian cycle that was known to exist, as well as confirming the existence of shorter-period oscillations. A key consequence of this approach is that orthogonality of the different oscillatory components can be demonstrated. thus indicating a biological independence of these oscillations, that has been subsequently confirmed empirically by knocking out the gene responsible for the 24-hour clock. Conclusion: System identification techniques can be applied to biological systems and can uncover important characteristics that may elude visual inspection of the data. Significance: The pencil Method provides new insights on the essence of gene expression and discloses a wide variety of oscillations in addition to the well-studied circadian pattern. This insight opens the door to the study of novel mechanisms by which oscillatory gene expression signals exert their regulatory effect on cells to influence human diseases.

  • a novel Mathematical Method for disclosing oscillations in gene transcription a comparative study
    bioRxiv, 2017
    Co-Authors: A C Antoulas, Qiang Zhang, Brian York, Bert W Omalley, Clifford C Dacso
    Abstract:

    Circadian rhythmicity, the 24-hour cycle responsive to light and dark, is contributed to by periodic oscillations in gene transcription. This phenomenon has broad ramifications in physiologic function. Recent work has disclosed more cycles in gene transcription and to the uncovering of these we apply a novel signal processing Methodology known as the pencil Method. Methods: In order to assess periodicity of gene expression over time, we analyzed a database derived from livers of mice entrained to a 12 hour light/12 hour dark cycle. We also analyzed artificially generated signals to identify differences between the pencil decomposition and other similar Methods. Results: The pencil decomposition revealed hitherto unsuspected oscillations in gene transcription with 12 periodicity. The pencil Method was robust in detecting the 24 hour circadian cycle that was known to exist as well as confirming the existence of shorter period oscillations. A key consequence of this approach is that orthogonality of the different oscillatory components can be demonstrated, This indicates a biological independence of these oscillations, which has been subsequently confirmed empirically by knocking out the gene responsible for the 24 hour clock. Conclusion: system identification techniques can be applied to biological systems and can uncover important characteristics that may elude visual inspection of the data. Significance: The pencil Method provides new insights on the essence of gene expression and discloses a wide variety of oscillations in addition to the well-studied circadian pattern. This insight opens the door to the study of novel mechanisms by which oscillatory gene expression signals exert their regulatory effect on cells to influence human diseases.

Shishu Ranjan - One of the best experts on this subject based on the ideXlab platform.

  • Mathematical Method to find best suited PV technology for different climatic zones of India
    International Journal of Energy and Environmental Engineering, 2017
    Co-Authors: Suprava Chakraborty, Avinash Kumar Haldkar, Rajesh Kumar, Shishu Ranjan
    Abstract:

    This paper presents a reliable Mathematical Method to predict the energy generation from grid connected photovoltaic plant of different commercially used technologies in different zones of India. Global horizontal insolation (GHI) and daytime temperature are the two major parameters affecting the output of photovoltaic (PV) plant. Depending on those two major parameters, India is classified into 15 climatic zones. Typical Meteorological Year data were collected from National Renewable Energy Laboratory to classify India in different climatic zones. Energy generation of different commercially used PV technologies in different climatic zones of India is predicted using proposed Mathematical Method. These results show a decisive study to choose the best PV technology for different climatic zones of India. Results predict that in almost all climatic zones, amorphous silicon (a-Si) is the best suitable PV technology. In very low-temperature zones, irrespective of GHI, the second best suitable PV technology is mono and cadmium telluride (CdTe) as generation from these two technologies is same. Whereas in other climatic zones, after a-Si the best suitable is CdTe PV technology. Predicted energy generation is validated with the 1-year generation of 2014 from 15 working PV plants of different technologies. Predicted generation is in good co-relation with the actual real-time generation from the PV plants.

Roberto Lamberts - One of the best experts on this subject based on the ideXlab platform.

  • a new Mathematical Method to solve highly coupled equations of heat and mass transfer in porous media
    International Journal of Heat and Mass Transfer, 2002
    Co-Authors: Nathan Mendes, Paulo Cesar Philippi, Roberto Lamberts
    Abstract:

    Heat and mass conservation equations in porous media are coupled and, in general, solved, iteratively, by using the values of temperature and moisture content from previous iteration to calculate source terms. This is the traditional Mathematical Method and numerical stability is only ensured for small time steps, depending on the source term's magnitudes. This is specially important, when material properties have strong variations with moisture content. This paper presents an unconditionally stable numerical Method, conceived accordingly to a new Methodology, which considers: (i) linearization of the term giving the vapor exchanged at the boundaries in terms of temperature and moisture content and (ii) introduction of a new generic algorithm to solve, simultaneously, the governing equations, for each time step. Numerical stability of these two Methods are compared and it is shown that, in addition to avoid numerical unstability for arbitrary time steps and material properties, convergence is always quickly reached, in the presently proposed calculation Method.

Suprava Chakraborty - One of the best experts on this subject based on the ideXlab platform.

  • Mathematical Method to find best suited PV technology for different climatic zones of India
    International Journal of Energy and Environmental Engineering, 2017
    Co-Authors: Suprava Chakraborty, Avinash Kumar Haldkar, Rajesh Kumar, Shishu Ranjan
    Abstract:

    This paper presents a reliable Mathematical Method to predict the energy generation from grid connected photovoltaic plant of different commercially used technologies in different zones of India. Global horizontal insolation (GHI) and daytime temperature are the two major parameters affecting the output of photovoltaic (PV) plant. Depending on those two major parameters, India is classified into 15 climatic zones. Typical Meteorological Year data were collected from National Renewable Energy Laboratory to classify India in different climatic zones. Energy generation of different commercially used PV technologies in different climatic zones of India is predicted using proposed Mathematical Method. These results show a decisive study to choose the best PV technology for different climatic zones of India. Results predict that in almost all climatic zones, amorphous silicon (a-Si) is the best suitable PV technology. In very low-temperature zones, irrespective of GHI, the second best suitable PV technology is mono and cadmium telluride (CdTe) as generation from these two technologies is same. Whereas in other climatic zones, after a-Si the best suitable is CdTe PV technology. Predicted energy generation is validated with the 1-year generation of 2014 from 15 working PV plants of different technologies. Predicted generation is in good co-relation with the actual real-time generation from the PV plants.