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1 EARLY DETECTION OF MALIGNANT TUMORS USING MAGNETICLY INDUCED PRESSURE WAVES Idan Steinberg - 25.11.2010 2 Early detection of malignant tumors Cancer is responsible for almost 25% of all deaths in the US! [1] Most common types of cancer in developed countries are: Lung, breast, prostate and colon [2]. Early detection of cancer greatly improves patient survival and quality of life. e.g: Kakinuma R. has shown that regular screening tests for lung cancer improved the 5-year survival rates from 49% to 84%! [3] 5-yearEstimated relative survival patients numbers rates of newamong cancer cases diagnosed with cancersin2005 4[] (incidence) andselected deaths (mortality) 2002][1 Introduction Model Theoretical Results Experiments Summary 3 Existing methods for screening Method Advantages Drawbacks Mammography Relatively accurate Ionizing radiation, Uncomfortable PSA + Physical exam Very simple, Low cost and low risk Very high false positives Colonoscopy Actual view of the Uncomfortable, Risk of colon, Samples complications Occult blood Very simple, Low cost and low risk Low accuracy CT-Scan Accurate High doses of Ionizing radiation, Expensive MRI Accurate, Non ionizing radiation Extremely expensive, Needs special housing Introduction Model Theoretical Results Experiments Summary 4 Magneto-Acoustic detection Phase I: Nano-particles injection Tumor Phase II: Magneto-Acoustic detection Acoustic probe External Magnetic field Tumor with conjugated MNP acting as acoustic dipole Antibody conjugated MNP solution Introduction Model Theoretical Results Experiments Summary 5 Research Goals To date, no method exists for early detection of cancer that is general, accurate, low cost and has high throughput. To overcome the drawbacks of existing methods, we propose a new method for early cancer detection which is based upon magneto-acoustic detection of tumor specific superparamagnetic nano-particles. The goal of this research is to provide a theoretical & experimental Proof of Concept of such a method Introduction Model Theoretical Results Experiments Summary 6 Magneto-Acoustic analytic model To asses the feasibility, an analytic models was developed & validated by comparison to both FEM model and experiments Analytic model allows the understanding and optimization of the system Model assumptions: Analytic model allows the understanding and optimization 1. Axial symmetry system 2. Spherical rigid tumor Introduction Model Theoretical Results Experiments of the Summary 7 Model structure Solenoid Geometrical Parameters Ri , DW , NR , NZ 1b Magnetic Flux Model Magnetic Flux Density 3 Bz z, t Solenoid Current I S t 1a Inductance Model Solenoid Electrical RS , LS Parameters 2 Magnetic Force Model Electrical Circuit Model Magnetic F z, t M Force 4 Mechanical Forces Model Tumor Acceleration Electromagnetic N t I S t Noise A t 5 Acoustic Model Acoustic Pressure P r , z, t 6 Acoustic Sensor Model Acoustic Signal S t Introduction Model Theoretical Results Experiments Summary 8 Magnetic flux generated by a solenoid Axial magnetic flux of a single current loop: For multiple windings - integrate with respect to z and R: For the flux gradient - differentiate with respect to z : Results Introduction Model Theoretical Results Experiments Summary 9 Magnetic forces acting on the tumor Langevin dynamics predicts the magnetization of the tumor volume: The magnetic body force on the entire tumor results from minimal energy considerations: Results Introduction Model Theoretical Results Experiments Summary 10 Mechanical forces & The equation of motion Mechanical forces are surface forces: • Elastic retention force of the displaced tissue • Drag force due to tumor speed Under the assumptions of rigid and spherical tumor the two forces can be expressed as: Combining all three force together with Newton's second law yields a non linear, second order differential equation: Results Introduction Model Theoretical Results Experiments Summary 11 Acoustic pressure field The acoustic pressure field is calculated by the scalar wave equation. Tumor induced motion creates an acoustic dipole source term. Solution by separation of variables: Results Introduction Model Theoretical Results Experiments Summary 12 Acoustic sensor model The measured signal from the acoustic sensor is due to: 1. Acoustic signal proportional to the acceleration of the skin: 2. Additive EM noise from the solenoids: NEM(t)=Is(t)*Hm 3. Additive measurement white noise: Nw(t) The sum is convolved with the sensor transfer function: Hs Results Introduction Model Theoretical Results Experiments Summary 13 Simulated magnetic flux density The model and FEM both predicts the rapid decay of the magnetic field FEM confirms that the effect of deviations from the symmetry axis is small Model Introduction Model Theoretical Results Experiments Summary 14 Simulated magnetic force For the magnetic flux operating point, the magnetization is well within the linear range Maximal force is achieved 0.5 mm after the solenoid. The magnetic force decays exponentially with distance. Model Introduction Model Theoretical Results Experiments Summary 15 Simulated time-varying forces Force amplitude varies from 20 N/m3 up to 200 N/m3 and higher. The magnetic force is the dominant force. The elastic force determines the equilibrium displacement. Introduction Model Theoretical Results Experiments Summary 16 Simulated motion of the tumor The displacement is practically constant & in the nm scale. The velocity is one order of magnitude higher (still very small). The acceleration is much Model higher and measurable. Introduction Model Theoretical Results Experiments Summary 17 Simulated pressure field Tumor location Model Introduction Model Theoretical Results Experiments Summary 18 Simulated acoustic signal The acoustic signal presents a series of alternating peaks. for deeper the tumors, the peaks are smaller and more spread. Also, the delay is greater. Introduction Model Theoretical Results Experiments Summary 19 Experimental setup I Aim: measurement of the electrical properties of the solenoids Method : Inductance was measured at 36 kHz using a Wheatstone bridge circuit. Introduction Model Theoretical Results Experiments Discussion 20 Experiment I - results Solenoids 1,2 do not fit the model predictions due to problems in production. Solenoids 3,4 accurately fit the model (less 5% error) Introduction Model Theoretical Results Experiments Discussion 21 Experimental setup II Aim: measurement of the magnetic field of the solenoids Method : Measurements were taken using a fluxmeter at various points in space with different axial and radial distances. Introduction Model Theoretical Results Experiments Discussion 22 Experiment II - results Solenoids 3,4 generate almost equal magnetic fields which are in accordance with the model. Deviations from the 95% confidence intervals only occur close to the solenoids due to fringe effects. Introduction Model Theoretical Results Experiments Summary 23 Experiment II - results - cont. The radial dependence of the magnetic field is negligible (less then 5% at 5 mm radial distance). This effect allows the calculation of the field only on the symmetry axis. Introduction Model Theoretical Results Experiments Summary 24 Experimental setup III Aim: measurement of the magnetic force acting on MNPs immersed in a diamagnetic solution (Feridex®). Method : MNP solution was weighted with an accurate laboratory weight. Introduction Model Theoretical Results Experiments Summary 25 Experiment III - results Again, measurements correlate very well with the theoretical model. Small deviations only occur at close distances. The magnetic force decays rapidly (faster then a mono-exponent) affecting the depth of detection Introduction Model Theoretical Results Experiments Summary 26 Experimental setup IV Aim: measurement of the acoustic signal received from a phantom of the tissue and MNP conjugated tumor. Method : Measurements were performed on an agar tissue phantom inside an acoustic bath. Signal was measured without magnetic field, without tumor phantom and with both. Solenoid 2 Acoustic sensor DC PSU Amplifier Power Signal Oscilloscope A\D Acoustic bath + tumor phantom Modulator Solenoid 1 ch1 ch2 Trigger Introduction Model Theoretical Results Experiments Summary 27 Experiment IV - results Estimation of the EM noise using a 10-th order moving average is good at low frequencies. The estimated acoustic signal is a bit noisy but still clearly presents the typical peak structure predicted by the model. Introduction Model Theoretical Results Experiments Summary 28 Experiment IV - results - cont. The Root Mean Square of Differences between the estimated acoustic signal and the model is 8%. Comparing the model with the estimated acoustic signal in the absence of the tumor phantom results in an RMSD measure of 35%! Introduction Model Theoretical Results Experiments Summary 29 Summary 1. Magneto-Acoustic detection was proved to be feasible both theoretically and experimentally 2. Extensive analytic and numeric models were developed 3. Based on the analytic model an experimental setup was optimized and built 4. The model predict accurately the results of all laboratory experiments 5. Magneto-Acoustic detection shows great promise for quick detection of deep tumors (up to a few cm beneath the skin) Introduction Model Theoretical Results Experiments Summary 30 Future Work Three main goals to be achieved: 1. Estimation of tumor parameters: size depth location (e.g. by triangulation) 2. increase test efficiency (higher fields, multiple sensors, robust signal processing algorithm) 3. In-vitro & In-vivo experiments up to clinical trials Introduction Model Theoretical Results Experiments Summary 31 32 Reference 1. Parkin, D. M. et al. CA Cancer J Clin 2005;55:74-108. 2. J. L. Mulshine, M.D. and D. C. Sullivan, M.D. N Engl J Med 2005;352:2714-20. 3. Kakinuma R. et al. Proceedings of the Lung Cancer Workshop, Tokyo, November 7, 2003:18. 4. Kalambur V S, Han B, Hammer B E, Shield T W and Bischof J C 2005 In vitro characterization of movement, heating and visualization of magnetic nanoparticles for biomedical applications Nanotechnology 16 1221–33 5. Akira I. et al. Magnetite nanoparticle - loaded anti-HER2 immunoliposomes, for combination of antibody therapy with hyperthermia, Cancer Letters 212 (2004) 167–175 6. Shinkai M. et al. Targeting Hyperthermia for Renal Cell Carcinoma Using Human MN Antigen specific Magnetoliposomes. Jpn. J. Cancer Res. 92, 1138–1146, 2001 7. Biao L.E. et al , Preparation of tumor-specific magnetoliposomes and their application for hyperthermia, Chem. Eng. Jpn, 2001 Introduction Model Theoretical Results Experiments Summary 33 Super-Paramagnetic Nano-Particles (MNPs) Ferromagnetic: High magnetization, Many domains, Hysteresis Super-paramagnetic: High magnetization, 1 domain, No hysteresis Introduction Model Theoretical Results Experiments Summary 34 Tumor Targeting MNPs are made of iron oxide core (~10 nm diameter) with different biocompatible coatings [4]. Nano–particles are small enough to diffuse from the blood vessel into the tissue. Conjugated antibodies allows for targeting different cancer types: • HER2 - Breast Cancer[5]. • MN - renal cell carcinoma [6] • U251- SP (G22 antibody) - Glioma [7] Antibody Coating SPM Core Introduction Model Theoretical Results Experiments Summary 35 Comparison with other MNP based methods Scan Accuracy Times Depth MRI scans with MNPs as contrast agents [53] 1/2 Hr 1 mm Tens of cm Thermography with MNP specific heating [15] 1 Hr A few mm 1 cm Low Point of Care Ultrasound scans with PFC [55] A few minutes 1 cm A few cm Low Medical Center High Special Housing Medium Medical Center Low Point of Care Method Ultrasound excitation of asymmetric MNPs with 1/2 Hr A few mm A few cm Magnetic measurements [57] Doppler measurements of A few magnetically excited MNPs 1 cm A few cm minutes [14] This work - Measurements of pressure waves induced by <1 Min Unknown Unknown magnetically excited MNPs Introduction Model Theoretical Results Cost Placement Very High Special Housing Experiments Summary 36 Solenoid design Solenoid design posses some challenges to the designer: 1. Large number of windings: magnetic field/Ampere ↑, current ↓. 2. No good model for inductance. 3. Hysteresis loss & eddy currents at the magnetic core, Skin effect, Capacitance between windings Results Introduction Model Theoretical Results Experiments Summary 37 Solenoid optimization The model predicts an optimal number of windings. Optimization criterion was maximal force applied on 3cm deep tumor. Model Introduction Model Theoretical Results Experiments Summary 38 Limitations 1. High Electro-Magnetic noise limits measurement accuracy. A possible solution is the use of an acoustic waveguide to distance the sensor. 2. The method only applies to solid tumors, with known specific antigens. 3. Organs filled with air or other fluids will block the acoustic signal Introduction Model Theoretical Results Experiments Summary 39 Example application Breast tissue is flattened out between the two solenoid Breast tissue is flattened out between the two solenoids in a similar fashion to mammography. Then an alternating magnetic field is applied. A single or multiple acoustic sensors can then pick the signal on the breast surface. s in a similar fashion to mammography. Then an alternating magnetic field is applied. A single or multiple acoustic sensors can then pick the signal on the Breast tissue is flattenedbreast out between surface. the two solenoids in a similar fashion to mammography. Then an alternating magnetic field is applied. A single or multiple acoustic sensors can then pick the signal on the breast surface. Introduction Model Theoretical Results Experiments Summary