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Women in mathematical biology : research collaboration workshop, Nimbios, Knoxville, June 2015

Author: Anita T Layton; Laura A Miller
Publisher: Cham : Springer, ©2017.
Series: Association for Women in Mathematics Series, v. 8.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
Inspired by the Research Collaboration Workshop for Women in Mathematical Biology, this volume contains research and review articles that cover topics ranging from models of animal movement to the flow of blood cells in the embryonic heart. Hosted by the National Institute for Mathematics and Biological Synthesis (NIMBioS), the workshop brought together women working in biology and mathematics to form four research  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Women in mathematical biology.
Cham : Springer, ©2017
(OCoLC)987282857
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Anita T Layton; Laura A Miller
ISBN: 9783319603049 3319603043
OCLC Number: 1002911739
Description: 1 online resource : illustrations
Contents: Preface; Contents; The Modulation of Pain by Circadian and Sleep-Dependent Processes: A Review of the Experimental Evidence; 1 Introduction: A Vicious Cycle; 2 What Is Pain?; 3 The Relationship Between the Sleep Cycle and Pain Sensitivity in Humans; 3.1 There Is a Daily Rhythm in Experimental Pain Sensitivity in Humans; 3.2 Homeostatic Sleep Drive Increases Pain Sensitivity in Humans; 3.3 A Cross-Species Comparison: Circadian Rhythms and Homeostatic Sleep Drive Influence Pain Sensitivity in Laboratory Rodents; 4 Circadian Rhythms and Homeostatic Sleep Drive Modulate Pain Neural Circuitry. 5 DiscussionReferences; Investigating Circadian Rhythmicity in Pain Sensitivity Usinga Neural Circuit Model for Spinal Cord Processing of Pain; 1 The Neural Processing of Pain; 1.1 Previous Models of Pain Processing; 2 Mathematical Model; 2.1 Equations of Time Evolution; 2.1.1 Model Inputs from the Dorsal Root Ganglion; 2.2 Firing Rate Response Functions; 3 Model Validation; 3.1 Pain Inhibition; 3.2 Wind-Up; 3.3 Neuropathy; 4 Model with Descending Control from the Mid-Brain; 4.1 Introduction; 4.2 Amendments to Model; 4.3 Model Validation; 5 Conclusions and Future Work; References. A Two-Process Model for Circadian and Sleep-Dependent Modulation of Pain Sensitivity1 Introduction; 2 Background: Two-Process Model for Circadian Modulation of Sleep Timing; 3 Two-Process Model for Pain Sensitivity; 4 Model Predictions; 4.1 Pain Sensitivity Under Sleep Deprivation; 4.2 Pain Sensitivity Under Sleep Restriction; 4.3 Pain Sensitivity Under Shift Work Schedules; 5 Discussion; References; Introduction to Mathematical Modeling of Blood Flow Controlin the Kidney; 1 Introduction; 2 Myogenic Response; 3 Tubuloglomerular Feedback; 4 Applications; References. Modeling Autoregulation of the Afferent Arteriole of the Rat Kidney1 Introduction; 2 Mathematical Model; 2.1 Single Cell Model; 2.2 Multi-Cell Model; 2.3 Numerical Method; 3 Model Results; 4 Discussion; Appendix; Transmembrane Ionic Transport; Ion and Charge Conservation Equations; Background Currents; Potassium Transport Pathways; Sodium Transport Pathways; Chloride Transport Pathways; Calcium Transport Pathways; Intracellular Ca2+ Dynamics; Calcium Buffers; Kinetics of Myosin Light Chain Phosphorylation; CaM Activation of MLCK; Rho-Kinase Inhibition of MLCP. MLCK- and MLCP-Dependent Phosphorylation of MyosinMechanical Behavior of Cell; References; Modeling Blood Flow and Oxygenation in a Diabetic Rat Kidney; 1 Introduction; 2 Mathematical Model; 2.1 Renal Autoregulation; 2.2 Solute Conservation; 2.3 Oxygen Consumption; 2.4 Modeling a Diabetic Kidney; 3 Model Results; 3.1 Renal Autoregulation in Diabetes; 3.2 Renal Oxygenation in Diabetes; 4 Discussion; References; Tracking the Distribution of a Solute Bolus in the Rat Kidney; 1 Introduction; 2 Mathematical Model; 3 Model Results; 3.1 Steady-State Results.
Series Title: Association for Women in Mathematics Series, v. 8.
Responsibility: Anita T. Layton, Laura A. Miller, editors.

Abstract:

Inspired by the Research Collaboration Workshop for Women in Mathematical Biology, this volume contains research and review articles that cover topics ranging from models of animal movement to the  Read more...

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