Structural correlation method for model reduction and practical estimation of patient specific parameters illustrated on heart rate regulation.

[1]  M. N. Levy,et al.  Carotid Sinus Baroreceptor Reflex Effects upon Myocardial Contractility , 1964, Circulation research.

[2]  J C Houk,et al.  A model of adaptation in amphibian spindle receptors. , 1966, Journal of theoretical biology.

[3]  M. N. Levy,et al.  Vagus Nerves and Baroreceptor Control of Ventricular Performance , 1966, Circulation research.

[4]  M. N. Levy,et al.  Effect of Enhanced Contractility on the Left Ventricular Response to Vagus Nerve Stimulation in Dogs , 1969, Circulation research.

[5]  R Srinivasan,et al.  Modeling the carotid sinus baroreceptor. , 1972, Biophysical journal.

[6]  Z. Hasan A model of spindle afferent response to muscle stretch. , 1983, Journal of neurophysiology.

[7]  Karen D. Alfrey A model of the aortic baroreceptor in rat , 1997 .

[8]  Carl Tim Kelley,et al.  Iterative methods for optimization , 1999, Frontiers in applied mathematics.

[9]  Solange Akselrod,et al.  Parametric description of cardiac vagal control , 2003, Autonomic Neuroscience.

[10]  Hong Wang,et al.  Insights into the behaviour of systems biology models from dynamic sensitivity and identifiability analysis: a case study of an NF-kappaB signalling pathway. , 2006, Molecular bioSystems.

[11]  Johnny T Ottesen,et al.  Modeling baroreflex regulation of heart rate during orthostatic stress. , 2006, American journal of physiology. Regulatory, integrative and comparative physiology.

[12]  D. DiFrancesco Funny channels in the control of cardiac rhythm and mode of action of selective blockers. , 2006, Pharmacological research.

[13]  E. Lakatta,et al.  Regulation of basal and reserve cardiac pacemaker function by interactions of cAMP-mediated PKA-dependent Ca2+ cycling with surface membrane channels. , 2009, Journal of molecular and cellular cardiology.

[14]  C. T. Kelley,et al.  Estimation and identification of parameters in a lumped cerebrovascular model. , 2008, Mathematical biosciences and engineering : MBE.

[15]  H. T. Banks,et al.  A sensitivity matrix based methodology for inverse problem formulation , 2020, 2004.06831.

[16]  E. Lakatta,et al.  Cholinergic receptor signaling modulates spontaneous firing of sinoatrial nodal cells via integrated effects on PKA-dependent Ca(2+) cycling and I(KACh). , 2009, American journal of physiology. Heart and circulatory physiology.

[17]  Daniel A Beard,et al.  Identifying physiological origins of baroreflex dysfunction in salt-sensitive hypertension in the Dahl SS rat. , 2010, Physiological genomics.

[18]  Mette S. Olufsen,et al.  Linear and Nonlinear Viscoelastic Modeling of Aorta and Carotid Pressure–Area Dynamics Under In Vivo and Ex Vivo Conditions , 2011, Annals of Biomedical Engineering.

[19]  Mette S. Olufsen,et al.  Functionality of the baroreceptor nerves in heart rate regulation , 2011, Comput. Methods Programs Biomed..

[20]  Mette S. Olufsen,et al.  Modeling the Afferent Dynamics of the Baroreflex Control System , 2013, PLoS Comput. Biol..

[21]  Brian Ingalls,et al.  Mathematical Modeling in Systems Biology: An Introduction , 2013 .

[22]  Mette S Olufsen,et al.  A practical approach to parameter estimation applied to model predicting heart rate regulation , 2013, Journal of mathematical biology.

[23]  Andreas Kremling Systems Biology: Mathematical Modeling and Model Analysis , 2013 .

[24]  Seth Sullivant,et al.  Structural Identifiability of Viscoelastic Mechanical Systems , 2013, PloS one.

[25]  Jesper Mehlsen,et al.  Patient-specific modelling of head-up tilt. , 2014, Mathematical medicine and biology : a journal of the IMA.

[26]  Sophia Mã ¶ ller,et al.  Biomechanics — Mechanical properties of living tissue , 1982 .