SlideShare a Scribd company logo
1 of 26
Download to read offline
Extracting new information from old signals
Manasi Nandi PhD, FBPhS, FHEA
Senior Lecturer Integrative Pharmacology
King’s College London, U.K.
manasi.nandi@kcl.ac.uk
Google images used throughout
Mahomed; Med Chir Trans. 1874;57:197-228. The Etiology of Bright's Disease and the Prealbuminuric Stage
Images courtesy of King’s College London; Foyle Special Collection library.
Since the mid 19th century we have known there
is extra information in waveform shapes
125-1000Hz sampling Google images
High fidelity data is routinely captured…but most
of this is unused
Source: Chung, M.K., and Rich, M.W. Introduction to the cardiovascular system. Alcohol Health and Research World
14(4):269–276, 1990.
• As individual control systems in a plane
start to fail, so the plane shakes, sways,
wobbles, loses altitude and finally
crashes….
• Similarly, in the human body, early failure
of control systems may not be detectable,
such that when we ‘diagnose‘ a patient –
they have already ‘crashed’
Early detection in ‘stable’ phase is
better than late detection in ‘crash’
Time
Meanarterialbloodpressure
Crash
Endotoxin
Can we predict a crash before it
happens?
Too late to treat?
Summary so far
Can we make better use of the
high fidelity - ‘big data’ that we
routinely collect?
Would this more sensitively tell
us about CV changes in
health and disease?
The method:
Symmetric Projection Attractor
Reconstruction
Finding patterns in data streams
x
y
z
Time series data
Findings patterns in chaotic data
Lorenz Attractor:
same data, plotted differently
Can we plot blood pressure data in 3D?
We only have 1 data stream..
but this can be split by
using time delays
Floris Takens –
Mathematician
1981
Philip Aston
Mathematician
University of Surrey
2013
Can we plot blood pressure data
in 3D?
Step 1: Replot data into 3D
Use 𝜏 to get (𝑥, 𝑦, 𝑧) coordinates
(101.309, 117.469, 125.191)
(102.622, 118.354, 125.175)
(103.827, 119.239, 124.977)
(104.956, 120.063, 124.489)
 …. etc
Step 1: Replot data into 3D
Step 2: Project to 2D
Change the coordinates to get a 2D attractor
3D attractor 2D attractor
Step 2: Project and view in 2D
Step 3: Add density
Step 3: Add density
If:
X = 108 mmHg
y = 120 mmHg
Z = 138 mmHg
100110120130140
140
120
100
100
110
120
130
140
X
y
z
x
140 130 120 110 100y
100
110
120
130
140
100
120
z
100
120
140
100
120
140
140
120
100
140
120
100
BP(mmHg)
Time (seconds)
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
z
y
x
1
2
3
4 5 6
Attractor reconstruction
Projection
Symmetric
Extracting measures from the attractor…..
How big is it?
How dense are
the hot spots?
What is the
angle of
rotation?
How wide are
the sides?
and relating these to physiological change…..
but applicable to deep learning image analysis to quantify attractor
…all features are quantifiable
BP ECG
Pulse Oximetry Intra Cranial Pressure
Central Venous Pressure Respiratory
Courtesy of Gary Chaffey – mathematicians, U of Surrey ; Physionet and other open access online sources
Agnostic to waveform..
Telemetry continuous
waveform data 1000Hz
BP software
Extraction of SBP, DBP,
HR, HRV and PP
every half hour
AR coding
Extraction of AR
measures, size, form,
density etc.
every half hour
10am-4pm naïve
10am-4pm sepsis
Preclinical sepsis modelling….
Baseline
1 hour after
sepsis
4 hours after
sepsis
12 hours after
sepsis
4pm
4pm
SPAR more accurately classifies ECG
female vs male
Healthy aging: Comparison 1
Younger (18-34) Older 70+
Healthy aging: Examples
Projections of n=9 embedding
n=3
Higher dimensions for ECG….n=9
Summary
• Periodic physiological data (BP, ECG) is routinely sampled at high fidelity
• Attractor reconstruction extracts new information from these signals
providing quantitative measures of waveform shape and variability
• These can enhance the sensitivity of detecting cardiovascular change
• Numerous potential applications in healthcare and biomedical research
setting
• Appropriate for machine learning and A.I approaches from large datasets
• Two communication between disciplines is extremely important –
mathematicians need to perform physiologically meaningful analysis
• Attractor ‘signatures’ must be translated to physiological meaning – not
just a ‘black box’ of new numbers…
Summary
Disclosure: Nandi co-inventor: Delay Coordinate Analysis of Periodic Data WO/2015/121679.
http://ehealth.kcl.ac.uk/cardiomorph/
Aston et al., Physiol Meas. 2018 Mar 1;39(2)
Nandi et al., Physiol Meas. 2018 Oct 30;39(10)

More Related Content

Similar to Dr. Manasi Nandi (King's College London) - Data-driven systems medicine

[4]Special_Organ_Scan
[4]Special_Organ_Scan[4]Special_Organ_Scan
[4]Special_Organ_Scan
Sanjoy Sanyal
 
UW Undergrad Research Poster 2015 ATW
UW Undergrad Research Poster 2015 ATWUW Undergrad Research Poster 2015 ATW
UW Undergrad Research Poster 2015 ATW
Alexander Wickstrom
 
Very High Resolution Ultrasound Imaging for Real-Time Quantitative Visualizat...
Very High Resolution Ultrasound Imaging for Real-Time Quantitative Visualizat...Very High Resolution Ultrasound Imaging for Real-Time Quantitative Visualizat...
Very High Resolution Ultrasound Imaging for Real-Time Quantitative Visualizat...
Dr Reaz Vawda, MSc PhD
 
Spom Imaging
Spom ImagingSpom Imaging
Spom Imaging
Claraha
 
Computerized Imaging Power Point
Computerized Imaging Power PointComputerized Imaging Power Point
Computerized Imaging Power Point
dare2dream143
 
Computerized Imaging Power Point
Computerized Imaging Power PointComputerized Imaging Power Point
Computerized Imaging Power Point
dare2dream143
 
Computerized Imaging Power Point
Computerized Imaging Power PointComputerized Imaging Power Point
Computerized Imaging Power Point
dare2dream143
 
bams-4th-year-shalya-ultrasound-05-05-2020.pptx
bams-4th-year-shalya-ultrasound-05-05-2020.pptxbams-4th-year-shalya-ultrasound-05-05-2020.pptx
bams-4th-year-shalya-ultrasound-05-05-2020.pptx
said462049
 
The utility of 18F-fluorocholine PET/CT in the imaging of parathyroid adenomas
The utility of 18F-fluorocholine PET/CT in the imaging of parathyroid adenomasThe utility of 18F-fluorocholine PET/CT in the imaging of parathyroid adenomas
The utility of 18F-fluorocholine PET/CT in the imaging of parathyroid adenomas
Nukleer Tıp Uzmanı
 

Similar to Dr. Manasi Nandi (King's College London) - Data-driven systems medicine (19)

4.Intensive care monitoring system .pptx
4.Intensive care monitoring system .pptx4.Intensive care monitoring system .pptx
4.Intensive care monitoring system .pptx
 
Physics
PhysicsPhysics
Physics
 
Elective ii
Elective iiElective ii
Elective ii
 
[4]Special_Organ_Scan
[4]Special_Organ_Scan[4]Special_Organ_Scan
[4]Special_Organ_Scan
 
Ultrasound1
Ultrasound1Ultrasound1
Ultrasound1
 
ultrasonography.pptx
ultrasonography.pptxultrasonography.pptx
ultrasonography.pptx
 
UW Undergrad Research Poster 2015 ATW
UW Undergrad Research Poster 2015 ATWUW Undergrad Research Poster 2015 ATW
UW Undergrad Research Poster 2015 ATW
 
Ultrasound assisted thrombolysis for vte turkish experience
Ultrasound assisted thrombolysis for vte turkish experienceUltrasound assisted thrombolysis for vte turkish experience
Ultrasound assisted thrombolysis for vte turkish experience
 
Very High Resolution Ultrasound Imaging for Real-Time Quantitative Visualizat...
Very High Resolution Ultrasound Imaging for Real-Time Quantitative Visualizat...Very High Resolution Ultrasound Imaging for Real-Time Quantitative Visualizat...
Very High Resolution Ultrasound Imaging for Real-Time Quantitative Visualizat...
 
International Journal of Cardiovascular Diseases & Diagnosis
International Journal of Cardiovascular Diseases & DiagnosisInternational Journal of Cardiovascular Diseases & Diagnosis
International Journal of Cardiovascular Diseases & Diagnosis
 
Spom Imaging
Spom ImagingSpom Imaging
Spom Imaging
 
Computerized Imaging Power Point
Computerized Imaging Power PointComputerized Imaging Power Point
Computerized Imaging Power Point
 
Computerized Imaging Power Point
Computerized Imaging Power PointComputerized Imaging Power Point
Computerized Imaging Power Point
 
Computerized Imaging Power Point
Computerized Imaging Power PointComputerized Imaging Power Point
Computerized Imaging Power Point
 
Basic_Diagnostics_Method_in_Medicine.ppt
Basic_Diagnostics_Method_in_Medicine.pptBasic_Diagnostics_Method_in_Medicine.ppt
Basic_Diagnostics_Method_in_Medicine.ppt
 
Can brain atrophy measurement help us in monitoring MS progression in routine...
Can brain atrophy measurement help us in monitoring MS progression in routine...Can brain atrophy measurement help us in monitoring MS progression in routine...
Can brain atrophy measurement help us in monitoring MS progression in routine...
 
bams-4th-year-shalya-ultrasound-05-05-2020.pptx
bams-4th-year-shalya-ultrasound-05-05-2020.pptxbams-4th-year-shalya-ultrasound-05-05-2020.pptx
bams-4th-year-shalya-ultrasound-05-05-2020.pptx
 
The utility of 18F-fluorocholine PET/CT in the imaging of parathyroid adenomas
The utility of 18F-fluorocholine PET/CT in the imaging of parathyroid adenomasThe utility of 18F-fluorocholine PET/CT in the imaging of parathyroid adenomas
The utility of 18F-fluorocholine PET/CT in the imaging of parathyroid adenomas
 
Ct brain basics and anatomy
Ct brain basics and anatomyCt brain basics and anatomy
Ct brain basics and anatomy
 

More from mntbs1

More from mntbs1 (15)

Biofilms workshop 2020 nobbs final
Biofilms workshop 2020 nobbs finalBiofilms workshop 2020 nobbs final
Biofilms workshop 2020 nobbs final
 
MIT Technology Review
MIT Technology ReviewMIT Technology Review
MIT Technology Review
 
STACEI: a tool for STructural Analysis of TCRpEptide-MHC Interactions
STACEI: a tool for STructural Analysis of TCRpEptide-MHC InteractionsSTACEI: a tool for STructural Analysis of TCRpEptide-MHC Interactions
STACEI: a tool for STructural Analysis of TCRpEptide-MHC Interactions
 
Salami Slicing in Research Publications
Salami Slicing in Research PublicationsSalami Slicing in Research Publications
Salami Slicing in Research Publications
 
Mr. Richard Rawcliffe (DELl EMC) - Data-driven systems medicine
Mr. Richard Rawcliffe (DELl EMC) - Data-driven systems medicineMr. Richard Rawcliffe (DELl EMC) - Data-driven systems medicine
Mr. Richard Rawcliffe (DELl EMC) - Data-driven systems medicine
 
Dr. Venkatesh Pilla Reddy (AstraZeneca) - Data-driven systems medicine
Dr. Venkatesh Pilla Reddy (AstraZeneca) - Data-driven systems medicineDr. Venkatesh Pilla Reddy (AstraZeneca) - Data-driven systems medicine
Dr. Venkatesh Pilla Reddy (AstraZeneca) - Data-driven systems medicine
 
Dr. Timothy Bowen (Cardiff University) - Data-driven systems medicine
Dr. Timothy Bowen (Cardiff University) - Data-driven systems medicineDr. Timothy Bowen (Cardiff University) - Data-driven systems medicine
Dr. Timothy Bowen (Cardiff University) - Data-driven systems medicine
 
Dr. Sascha Ott (University of Warwick) - Data-driven systems medicine
Dr. Sascha Ott (University of Warwick) - Data-driven systems medicineDr. Sascha Ott (University of Warwick) - Data-driven systems medicine
Dr. Sascha Ott (University of Warwick) - Data-driven systems medicine
 
Dr. Phil Webb (Velindre University NHS Trust) - Data-driven systems medicine
Dr. Phil Webb (Velindre University NHS Trust) - Data-driven systems medicine Dr. Phil Webb (Velindre University NHS Trust) - Data-driven systems medicine
Dr. Phil Webb (Velindre University NHS Trust) - Data-driven systems medicine
 
Prof. Benedict Seddon (University College London) - Data-driven systems medicine
Prof. Benedict Seddon (University College London) - Data-driven systems medicineProf. Benedict Seddon (University College London) - Data-driven systems medicine
Prof. Benedict Seddon (University College London) - Data-driven systems medicine
 
Dr. Ceire Costelloe (Imperial College London) - Data-driven systems medicine
Dr. Ceire Costelloe (Imperial College London) - Data-driven systems medicineDr. Ceire Costelloe (Imperial College London) - Data-driven systems medicine
Dr. Ceire Costelloe (Imperial College London) - Data-driven systems medicine
 
Dr. Christopher Yau (University of Birmingham) - Data-driven systems medicine
Dr. Christopher Yau (University of Birmingham) - Data-driven systems medicineDr. Christopher Yau (University of Birmingham) - Data-driven systems medicine
Dr. Christopher Yau (University of Birmingham) - Data-driven systems medicine
 
Prof. Martyn Guest (Cardiff University) - Data-driven systems medicine
Prof. Martyn Guest (Cardiff University) - Data-driven systems medicineProf. Martyn Guest (Cardiff University) - Data-driven systems medicine
Prof. Martyn Guest (Cardiff University) - Data-driven systems medicine
 
Prof. Mark Coles (Oxford University) - Data-driven systems medicine
Prof. Mark Coles (Oxford University) - Data-driven systems medicineProf. Mark Coles (Oxford University) - Data-driven systems medicine
Prof. Mark Coles (Oxford University) - Data-driven systems medicine
 
Data driven systems medicine article
Data driven systems medicine articleData driven systems medicine article
Data driven systems medicine article
 

Recently uploaded

VIII.1 Nursing Interventions to Promote Healthy Psychological responses, SELF...
VIII.1 Nursing Interventions to Promote Healthy Psychological responses, SELF...VIII.1 Nursing Interventions to Promote Healthy Psychological responses, SELF...
VIII.1 Nursing Interventions to Promote Healthy Psychological responses, SELF...
JRRolfNeuqelet
 
CAD CAM DENTURES IN PROSTHODONTICS : Dental advancements
CAD CAM DENTURES IN PROSTHODONTICS : Dental advancementsCAD CAM DENTURES IN PROSTHODONTICS : Dental advancements
CAD CAM DENTURES IN PROSTHODONTICS : Dental advancements
Naveen Gokul Dr
 
Histology of Epithelium - Dr Muhammad Ali Rabbani - Medicose Academics
Histology of Epithelium - Dr Muhammad Ali Rabbani - Medicose AcademicsHistology of Epithelium - Dr Muhammad Ali Rabbani - Medicose Academics
Histology of Epithelium - Dr Muhammad Ali Rabbani - Medicose Academics
MedicoseAcademics
 

Recently uploaded (20)

Kamrej + ℂall Girls Serviℂe Surat (Adult Only) 8849756361 Esℂort Serviℂe 24x7...
Kamrej + ℂall Girls Serviℂe Surat (Adult Only) 8849756361 Esℂort Serviℂe 24x7...Kamrej + ℂall Girls Serviℂe Surat (Adult Only) 8849756361 Esℂort Serviℂe 24x7...
Kamrej + ℂall Girls Serviℂe Surat (Adult Only) 8849756361 Esℂort Serviℂe 24x7...
 
CONGENITAL HYPERTROPHIC PYLORIC STENOSIS by Dr M.KARTHIK EMMANUEL
CONGENITAL HYPERTROPHIC PYLORIC STENOSIS  by Dr M.KARTHIK EMMANUELCONGENITAL HYPERTROPHIC PYLORIC STENOSIS  by Dr M.KARTHIK EMMANUEL
CONGENITAL HYPERTROPHIC PYLORIC STENOSIS by Dr M.KARTHIK EMMANUEL
 
Bangalore whatsapp Number Just VIP Brookefield 100% Genuine at your Door Step
Bangalore whatsapp Number Just VIP Brookefield 100% Genuine at your Door StepBangalore whatsapp Number Just VIP Brookefield 100% Genuine at your Door Step
Bangalore whatsapp Number Just VIP Brookefield 100% Genuine at your Door Step
 
VIII.1 Nursing Interventions to Promote Healthy Psychological responses, SELF...
VIII.1 Nursing Interventions to Promote Healthy Psychological responses, SELF...VIII.1 Nursing Interventions to Promote Healthy Psychological responses, SELF...
VIII.1 Nursing Interventions to Promote Healthy Psychological responses, SELF...
 
CAD CAM DENTURES IN PROSTHODONTICS : Dental advancements
CAD CAM DENTURES IN PROSTHODONTICS : Dental advancementsCAD CAM DENTURES IN PROSTHODONTICS : Dental advancements
CAD CAM DENTURES IN PROSTHODONTICS : Dental advancements
 
Histology of Epithelium - Dr Muhammad Ali Rabbani - Medicose Academics
Histology of Epithelium - Dr Muhammad Ali Rabbani - Medicose AcademicsHistology of Epithelium - Dr Muhammad Ali Rabbani - Medicose Academics
Histology of Epithelium - Dr Muhammad Ali Rabbani - Medicose Academics
 
duus neurology.pdf anatomy. phisiology///
duus neurology.pdf anatomy. phisiology///duus neurology.pdf anatomy. phisiology///
duus neurology.pdf anatomy. phisiology///
 
Hemodialysis: Chapter 1, Physiological Principles of Hemodialysis - Dr.Gawad
Hemodialysis: Chapter 1, Physiological Principles of Hemodialysis - Dr.GawadHemodialysis: Chapter 1, Physiological Principles of Hemodialysis - Dr.Gawad
Hemodialysis: Chapter 1, Physiological Principles of Hemodialysis - Dr.Gawad
 
Tips and tricks to pass the cardiovascular station for PACES exam
Tips and tricks to pass the cardiovascular station for PACES examTips and tricks to pass the cardiovascular station for PACES exam
Tips and tricks to pass the cardiovascular station for PACES exam
 
Hi Fi * Surat ℂall Girls Surat Dumas Road 8527049040 WhatsApp AnyTime Best Su...
Hi Fi * Surat ℂall Girls Surat Dumas Road 8527049040 WhatsApp AnyTime Best Su...Hi Fi * Surat ℂall Girls Surat Dumas Road 8527049040 WhatsApp AnyTime Best Su...
Hi Fi * Surat ℂall Girls Surat Dumas Road 8527049040 WhatsApp AnyTime Best Su...
 
ESC HF 2024 Spotlights Day-2.pptx heart failure
ESC HF 2024 Spotlights Day-2.pptx heart failureESC HF 2024 Spotlights Day-2.pptx heart failure
ESC HF 2024 Spotlights Day-2.pptx heart failure
 
The Clean Living Project Episode 24 - Subconscious
The Clean Living Project Episode 24 - SubconsciousThe Clean Living Project Episode 24 - Subconscious
The Clean Living Project Episode 24 - Subconscious
 
Young & Hot Surat ℂall Girls Vesu 8527049040 WhatsApp AnyTime Best Surat ℂall...
Young & Hot Surat ℂall Girls Vesu 8527049040 WhatsApp AnyTime Best Surat ℂall...Young & Hot Surat ℂall Girls Vesu 8527049040 WhatsApp AnyTime Best Surat ℂall...
Young & Hot Surat ℂall Girls Vesu 8527049040 WhatsApp AnyTime Best Surat ℂall...
 
Charbagh { ℂall Girls Serviℂe Lucknow ₹7.5k Pick Up & Drop With Cash Payment ...
Charbagh { ℂall Girls Serviℂe Lucknow ₹7.5k Pick Up & Drop With Cash Payment ...Charbagh { ℂall Girls Serviℂe Lucknow ₹7.5k Pick Up & Drop With Cash Payment ...
Charbagh { ℂall Girls Serviℂe Lucknow ₹7.5k Pick Up & Drop With Cash Payment ...
 
How to buy 5cladba precursor raw 5cl-adb-a raw material
How to buy 5cladba precursor raw 5cl-adb-a raw materialHow to buy 5cladba precursor raw 5cl-adb-a raw material
How to buy 5cladba precursor raw 5cl-adb-a raw material
 
Sell 5cladba adbb JWH-018 5FADB in stock
Sell 5cladba adbb JWH-018 5FADB in stockSell 5cladba adbb JWH-018 5FADB in stock
Sell 5cladba adbb JWH-018 5FADB in stock
 
TEST BANK For Huether and McCance's Understanding Pathophysiology, Canadian 2...
TEST BANK For Huether and McCance's Understanding Pathophysiology, Canadian 2...TEST BANK For Huether and McCance's Understanding Pathophysiology, Canadian 2...
TEST BANK For Huether and McCance's Understanding Pathophysiology, Canadian 2...
 
Bhimrad + ℂall Girls Serviℂe Surat (Adult Only) 8849756361 Esℂort Serviℂe 24x...
Bhimrad + ℂall Girls Serviℂe Surat (Adult Only) 8849756361 Esℂort Serviℂe 24x...Bhimrad + ℂall Girls Serviℂe Surat (Adult Only) 8849756361 Esℂort Serviℂe 24x...
Bhimrad + ℂall Girls Serviℂe Surat (Adult Only) 8849756361 Esℂort Serviℂe 24x...
 
Young & Hot ℂall Girls Patna 8250077686 WhatsApp Number Best Rates of Patna ℂ...
Young & Hot ℂall Girls Patna 8250077686 WhatsApp Number Best Rates of Patna ℂ...Young & Hot ℂall Girls Patna 8250077686 WhatsApp Number Best Rates of Patna ℂ...
Young & Hot ℂall Girls Patna 8250077686 WhatsApp Number Best Rates of Patna ℂ...
 
Video capsule endoscopy (VCE ) in children
Video capsule endoscopy (VCE ) in childrenVideo capsule endoscopy (VCE ) in children
Video capsule endoscopy (VCE ) in children
 

Dr. Manasi Nandi (King's College London) - Data-driven systems medicine

  • 1. Extracting new information from old signals Manasi Nandi PhD, FBPhS, FHEA Senior Lecturer Integrative Pharmacology King’s College London, U.K. manasi.nandi@kcl.ac.uk Google images used throughout
  • 2. Mahomed; Med Chir Trans. 1874;57:197-228. The Etiology of Bright's Disease and the Prealbuminuric Stage Images courtesy of King’s College London; Foyle Special Collection library. Since the mid 19th century we have known there is extra information in waveform shapes
  • 3. 125-1000Hz sampling Google images High fidelity data is routinely captured…but most of this is unused
  • 4. Source: Chung, M.K., and Rich, M.W. Introduction to the cardiovascular system. Alcohol Health and Research World 14(4):269–276, 1990.
  • 5. • As individual control systems in a plane start to fail, so the plane shakes, sways, wobbles, loses altitude and finally crashes…. • Similarly, in the human body, early failure of control systems may not be detectable, such that when we ‘diagnose‘ a patient – they have already ‘crashed’ Early detection in ‘stable’ phase is better than late detection in ‘crash’
  • 6. Time Meanarterialbloodpressure Crash Endotoxin Can we predict a crash before it happens? Too late to treat?
  • 7. Summary so far Can we make better use of the high fidelity - ‘big data’ that we routinely collect? Would this more sensitively tell us about CV changes in health and disease?
  • 8. The method: Symmetric Projection Attractor Reconstruction
  • 9. Finding patterns in data streams x y z Time series data Findings patterns in chaotic data
  • 10. Lorenz Attractor: same data, plotted differently
  • 11. Can we plot blood pressure data in 3D? We only have 1 data stream.. but this can be split by using time delays Floris Takens – Mathematician 1981 Philip Aston Mathematician University of Surrey 2013 Can we plot blood pressure data in 3D?
  • 12. Step 1: Replot data into 3D
  • 13. Use 𝜏 to get (𝑥, 𝑦, 𝑧) coordinates (101.309, 117.469, 125.191) (102.622, 118.354, 125.175) (103.827, 119.239, 124.977) (104.956, 120.063, 124.489)  …. etc Step 1: Replot data into 3D
  • 14. Step 2: Project to 2D Change the coordinates to get a 2D attractor 3D attractor 2D attractor Step 2: Project and view in 2D
  • 15. Step 3: Add density Step 3: Add density
  • 16. If: X = 108 mmHg y = 120 mmHg Z = 138 mmHg 100110120130140 140 120 100 100 110 120 130 140 X y z x 140 130 120 110 100y 100 110 120 130 140 100 120 z 100 120 140 100 120 140 140 120 100 140 120 100 BP(mmHg) Time (seconds) 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 z y x 1 2 3 4 5 6 Attractor reconstruction Projection Symmetric
  • 17. Extracting measures from the attractor….. How big is it? How dense are the hot spots? What is the angle of rotation? How wide are the sides? and relating these to physiological change….. but applicable to deep learning image analysis to quantify attractor …all features are quantifiable
  • 18. BP ECG Pulse Oximetry Intra Cranial Pressure Central Venous Pressure Respiratory Courtesy of Gary Chaffey – mathematicians, U of Surrey ; Physionet and other open access online sources Agnostic to waveform..
  • 19. Telemetry continuous waveform data 1000Hz BP software Extraction of SBP, DBP, HR, HRV and PP every half hour AR coding Extraction of AR measures, size, form, density etc. every half hour 10am-4pm naïve 10am-4pm sepsis Preclinical sepsis modelling….
  • 20.
  • 21. Baseline 1 hour after sepsis 4 hours after sepsis 12 hours after sepsis 4pm 4pm
  • 22. SPAR more accurately classifies ECG female vs male
  • 23. Healthy aging: Comparison 1 Younger (18-34) Older 70+ Healthy aging: Examples
  • 24. Projections of n=9 embedding n=3 Higher dimensions for ECG….n=9
  • 25. Summary • Periodic physiological data (BP, ECG) is routinely sampled at high fidelity • Attractor reconstruction extracts new information from these signals providing quantitative measures of waveform shape and variability • These can enhance the sensitivity of detecting cardiovascular change • Numerous potential applications in healthcare and biomedical research setting • Appropriate for machine learning and A.I approaches from large datasets • Two communication between disciplines is extremely important – mathematicians need to perform physiologically meaningful analysis • Attractor ‘signatures’ must be translated to physiological meaning – not just a ‘black box’ of new numbers… Summary
  • 26. Disclosure: Nandi co-inventor: Delay Coordinate Analysis of Periodic Data WO/2015/121679. http://ehealth.kcl.ac.uk/cardiomorph/ Aston et al., Physiol Meas. 2018 Mar 1;39(2) Nandi et al., Physiol Meas. 2018 Oct 30;39(10)