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