HEART RATE VARIABILITY HRV MATHEMATICAL MODELING MM

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HEART RATE VARIABILITY (HRV) MATHEMATICAL
MODELING (MM)

• Mykola Yabluchansky
• Alexander Martynenko
• School of Fundamental Medicine
• of Kharkiv National University, Ukraine

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Why is the Mathematical Modeling?
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• Almost exponential interest growth for HRV in
  different medicine branches
• Incomplete NHR structure reflection in HRV
  spectral domains power
• The idea that the estimation of NHR condition in
  HRV can be improved using ??

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The global Aim and local Goal
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• The Aim
• HRV ?? construction and trial for NHR evaluation
  quality improving in clinical applications
• The Goal
• Quality MM NHR links obtaining (in compare with
  traditional PSA HRV)

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Heart Rate NeuroHumoral Regulation Structural
scheme for ??
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Mathematical model differential equations (I)
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• Regulatory (NHR) group (1)
• BioMechanical group (2)
• HR equation (3)

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Mathematical model differential equations (II)
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• Regulatory (NHR) group (1)
  
  nonlinear dynamic quasi-periodical processes in
  humoral (H), sympathetic (S), ?ANSj
  parasympathetic (P) links of nervous system
• d2(ANSi)/dt2 Fi (Ri?d(ANSi)/dt, Ai?ANSi,
  Sj, BioMechanical),
  i,j H, S, P

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Mathematical model differential equations (III)
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• BioMechanical group (2)
  equations that describe
  function of
  biomechanical parameters
  forming ANS activity
• d2(BMi)/dt2 Ôi (Ri?d(BMi)/dt, Ai?BMj,
  HR, ANS),
  i, j 4,5,6

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Mathematical model differential equations (IV)
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• Requation (3) describes HR changes
  
  from cycle to cycle
• d2(HR)/dt2 f(R ?d(HR)/dt,
  A ?HR,Sj ?ANSj),
  j H, S, P

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?? trial protocol
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• Contingent 18 physically healthy young persons
• Procedure ECG RR-intervalogramme monitoring in
  clinostasis and active ortostasis before and
  after 50 mg metoprolol using
• HRV spectrum domains power calculation with
  projection on NHR links
• NHR links power calculation using MM
• PSA HRV domains calculation
• Compare of MM and PSA HRV data

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Equipment and software
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• Computer electrocardiograph Cardiolab with
  function PSA HRV based on quick Fourier
  transformation method
• The MM HRV indices calculation using software
  Spectrum_1100

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Database and statistical procedures
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• The database based on Excel for Windows
• For the comfort HRV spectral domains power and MM
  HRV indices were labeled as the powers of H
  (umoral), S(ympathetic) and P(arasympathetic)
  links of PSA HRV and MM
• For the comparison comfort the PSA HRV and MM
  indices were normalized

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The H (green), S (red), P (yellow) - links
equivalents of NHR in PSA HRV domains
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Comparison indices of PSA HRVMM
H (green), S (red), P (blue) - links of NHR ??
in HRV frequency range
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Comparison of PSA HRVMM results
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MM shows more high P and more less S and H
indices in normalized units
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Comparison of PSA HRVMM results
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MM PSA
V-re Kovtun. ?? shows more adequate results in H,
S, P links clino-orthostatic changes.
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Comparison of PSA HRVMM results
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MM PSA
V-re Sirenko. Impossible in real life dramatic
clino-orthostatic reduction P link power in PSA
HRV. ?? shows more adequate changes in H, S, P
links power clino-orthostatic changes.
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Comparison of PSA HRVMM results
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V-re Kamenir. Impossible in real life dramatic
clino-orthostatic reduction P links power in PSA
HRV. ?? shows more adequate H, S, P links power
clino-orthostatic changes before and in
metoprolol test.
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Humoral link power in PSA RVMMstatistics
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• Above before metoprolol humoral link changes in
  orthostatic test
• Below high metoprolol effect humoral link
  changes in orthostatic test
• ?? shows more adequate results in humoral link
  power growth

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Sympathetic link power in PSA HRVMM statistics
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• Above before metoprolol sympathetic link
  changes in orthostatic test
• Below high metoprolol effect sympathetic link
  changes in orthostatic test
• ?? shows more adequate results in sympathetic
  link power growth

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Parasympathetic link power in PSA HRVMM
statistics
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• Above before metoprolol parasympathetic link
  changes in orthostatic test ???????????
• Below high metoprolol effect parasympathetic
  link changes in orthostatic test
• ?? shows more adequate results in parasympathetic
  link power growth

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Conclusion
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• PSA and MM HRV are giving different results
• PSA HRV allows only to define the HRV power in
  different frequency domains which are
  conditionally contain the predominant H, S or P
  NHR links
• MM allows neatly to estimate the H, S or P NHR
  links power

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Milestones

• MM for power of NHG links only means weak
  expansion of HRV tecnology
• MM leads to activity and sensitivity of NHR links
  obtaining
• MM allows quality NHR as the system estimate
• All these applications of NHR MM are the new one
  Song
• Welcome to our Orchestra
• Meet on the www.hrvcongress.org !