books

The Mathematics of Marriage: Dynamics Nonlinear Models, J. M Gottman, J. D. Murray, C. C. Swanson, R. Tyson, K. R. Swanson. MIT Press (Bradford Books), Cambridge, January 2003 Reviews and other media links.

theses

"Turing Model of Pattern Formation with Periodic Conditions," Undergraduate Honors Thesis, Tulane University, 1996.

"Mathematical Modeling of the Growth and Control of Tumors," PhD Dissertation, University of Washington, 1999.

publications

      gliomas

1.       K. R. Swanson, E. C. Alvord and J. D. Murray: A Quantitative Model for Differential Motility of Gliomas in Grey and White Matter, Cell Proliferation 33(5): 317-330, 2000

2.       K. R. Swanson, E. C. Alvord Jr., J. D. Murray: Virtual Brain Tumors (Gliomas) Enhance the Reality of Medical Imaging and Highlights Inadequacies of Current Therapy, British Journal of Cancer, 86:14-18, 2002 [Selected to be abstracted in: 2003 Yearbook of Oncology, edited bv P. J. Loehrer, Elsevier Science(Mosby), May 2003]

3.       K. R. Swanson, E. C. Alvord Jr., J. D. Murray: Quantifying Efficacy of Chemotherapy of Brain Tumors (Gliomas) with Homogeneous and Heterogeneous Drug Delivery, Acta Biotheoretica, 50(4): 223-237, 2002

4.       K. R. Swanson, E. C. Alvord Jr., J. D. Murray: Virtual Resection of Gliomas: Effects of Location and Extent of Resection on Recurrence, Mathematical and Computer Modelling, 37:1177-1190, 2003 [Special Issue: “Modeling and Simulation of Tumor Development, Treatment, and Control”]

5.       K. R. Swanson, L. D. True, J. D. Murray: On the Use of Quantitative Modeling to Help Understand PSA Dynamics and Other Medical Problems, American Journal of Clinical Pathology, 119(1):14-7, 2003

6.       E. Mandonnet, J-Y Delattre, M-L Tanguy, K. R. Swanson, A. F. Carpentier, H. Duffau, P. Cornu, R. Van Effenterre, E. C. Alvord Jr, and L. Capelle. Continuous growth of mean tumor diameter in a subset of WHO grade II gliomas. Annals of Neurology, 53:524 – 528, 2003

7.       K. R. Swanson:  Clinical Application of a Mathematical Model for Glioma Growth and Invasion.  In: Mathematical Modelling and Computing in Biology and Medicine, V. Capasso (ed.), Milan Research Center for Industrial and Applied Mathematics, Progetto Leonardo, pp. 629-636, 2003

8.       K. R. Swanson, C. Bridge, J. D. Murray, E. C. Alvord, Jr.: Virtual and Real Brain Tumors: Using Mathematical Modeling to Quantify Glioma Growth and Invasion, Journal of the Neurological Sciences, 216(1):1-10, 2003

9.       K. R. Swanson, E. C. Alvord, Jr., J. D. Murray: Dynamics of a Model for Brain Tumors Reveals a Small Window for Therapeutic Intervention, Discrete and Continuous Dynamical Systems - Series B, 4(1):289—295, 2004

10.   A. M. Spence, M. Muzi, D. A. Mankoff, S. F. O’Sullivan, J. M. Link, T. K. Lewellen, B. Lewellen, P. Phan, S. Minoshima, K. R. Swanson, K. A. Krohn. FDG-PET Imaging of Gliomas at Delayed Intervals:  Improved Distinction Between Tumor and Normal Gray Matter, Journal of Nuclear Medicine, 45: 1653-1659, 2004

1.       S. Palfi, K. R. Swanson, S. De Bouard, F. Chretien, R. Oliveira, P. Decque, M. Djindjian, J. C. Guillamo, M. Peschanski, C. Christov:  Correlative Analysis of Invasiveness and Histologic Phenotype of Human Brain Tumors, as Revealed Using an In Vitro Organotypic Assay, British Journal of Cancer, 91:745-752, 2004

2.       S. Jbabdi, E. Mandonnet, H. Duffau, L. Capelle, K. R. Swanson, M. Pelegrini-Issac, R. Guillevin, H. Benali: Diffusion Tensor Imaging Allows Anisotropic Growth Simulations of Low-Grade Gliomas.  Magnetic Resonance in Medicine, 54:616–624, 2005

3.       H. Hatzikirou, A. Deutsch, C. Schaller, M. Simon, K. R. Swanson: Mathematical Modelling of Glioblastoma Tumour Development: A Review. Mathematical Models and Methods in Applied Sciences, 15, pp-pp, November 2005.

4.       A. M. Spence, D. A. Mankoff, M. Muzi, K. R. Swanson:  Nuclear Imaging of Gliomas. in Barnett GH, ed.  High-Grade Gliomas: Diagnosis and Treatment, Humana Press Inc, Totowa, NJ, 2005.

5.       H. L. P. Harpold, P. Vicini, K. R. Swanson: Kinetic Modeling of FLT-PET to Generate Parametric Maps of Proliferation. Journal of Undergraduate Research in Bioengineering, 6(1):49-68, 2006

6.       K. R. Swanson: Predicting In Vitro Behavior of Brain Tumor Growth and Invasion, Mathematical and Computer Modeling, In Press

7.       H. L. P. Harpold, E. C. Alvord, Jr., K. R. Swanson: Visualizing Beyond the Tip of the Iceberg: The Evolution of Mathematical Modeling of Glioma Growth and Invasion. Journal of Neuropathology and Experimental Neurology, 66(1):1-9, 2007

8.       K. R. Swanson, E. C. Alvord, Jr: Using Mathematical Modeling to Predict Survival of Low Grade Gliomas. Annals of Neurology, In Press, 2007 - 10.1002/ana.21042

9.       K. R. Swanson, R. Rostomily, E. C. Alvord, Jr.: Predicting Survival of Patients with Glioblastoma by Combining a Mathematical Model and Pre-operative MR imaging Characteristics. Submitted

10.   K. R. Swanson, H. L. P. Harpold, D. L. Peacock, C. Pennington, L. Kilbride, R. Grant, J. Wardlaw, E. C. Alvord, Jr. Velocity of Radial Expansion of Contrast-Enhancing Gliomas and Effectiveness of X-Irradiation in Individual Patients: A Proof of Principle. Submitted

      prostate cancer

1.       K. R. Swanson, J. D. Murray, D. Lin, L. True, K. Buhler, R. Vessella: A Mathematical Model for the Dynamics of Prostate Specific Antigen as a Marker for Cancerous Growth: An Explanation for a Medical Anomaly, American Journal of Pathology, 158(6):2195-2199, 2001   CellML Description of Model

2.       K. R. Swanson, L. D. True, J. D. Murray: On the Use of Quantitative Modeling to Help Understand PSA Dynamics and Other Medical Problems, American Journal of Clinical Pathology, 119(1):14-7, 2003

3.       K. R. Swanson, H. L. P. Harpold, L. D. True: Prostate Specific Antigen: A Clinical and Mathematical Conundrum.  American Journal of Clinical Pathology, 125 (3): 331-333, 2006 

4.       M. Roudier, K. R. Swanson, L. True, R. Vessella: Correlation Between Serum PSA Level and Tumor Volume in Bone of Prostate Cancer Patients, In Final Preparation

      positron emission tomography (PET)

1.       A. M. Spence, M. Muzi, D. A. Mankoff, S. F. O’Sullivan, J. M. Link, T. K. Lewellen, B. Lewellen, P. Phan, S. Minoshima, K. R. Swanson, K. A. Krohn. FDG-PET Imaging of Gliomas at Delayed Intervals:  Improved Distinction Between Tumor and Normal Gray Matter, Journal of Nuclear Medicine, 45: 1653-1659, 2004

2.       A. M. Spence, D. A. Mankoff, M. Muzi, K. R. Swanson:  Nuclear Imaging of Gliomas. in Barnett GH, ed.  High-Grade Gliomas: Diagnosis and Treatment, Humana Press Inc, Totowa, NJ, 2005.

      pattern formation

1.       J. D. Murray and K. R. Swanson: On the Mechanochemical Theory of Biological Pattern Formation with Applications to Wound Healing and Angiogenesis, In:On Growth and Form: Spatio-temporal Patterning in Biology, edited by M. A. J. Chaplain, G. D. Singh, J. McLachlan. Wiley (London), December 1999

      relationship psychology

1.       J. Gottman, C. Swanson, K. R. Swanson: A General Systems Theory of Marriage: Nonlinear Difference Equation Modeling of Marital Interactions, Personality and Social Psychology Review, 6(4): 326-340, 2002

2.       J. Gottman, R. Levenson, C. Swanson, K. R. Swanson, R. Tyson, and D. Yoshimoto: Observing Gay, Lesbian and Heterosexual Couples' Relationships: Mathematical Modeling of Conflict Interaction, Journal of Homosexuality, 45(1):65-91, 2003

3.       J. M. Gottman, K. Ryan, K. R. Swanson, C. Swanson: Proximal Change Experiments with Couples: A Methodology for Empirically Building a Science of Effective Interventions for Changing Couples’ Interaction, Journal of Family Communication, 2003 [Special Issue: “Innovative Methods for Studying Family Communication”]     

abstracts

  1. K. R. Swanson, E. C. Alvord, J. D. Murray: Mathematical Modeling of the Growth and Control of Gliomas, Gordon Conference on Theoretical Biology and Biomathematics, June 1998
  2. K. R. Swanson, E. C. Alvord, J. D. Murray: Modeling the Growth and Diffusion of Gliomas on Anatomically Accurate Domains, Year in Mathematical Biology Pattern Formation Workshops, Institute for Mathematics and It's Application (Minneapolis), 1998
  3. K.R. Swanson, E. C. Alvord, J. D. Murray: Predicting In Vitro Behavior of Brain Tum S. M. Blower: Quantifying the Contribution of the Thymus in T-Cell Reconstitution, STIs at the Millennium: Past, Present and Future (Baltimore), May 2000
  4. K. R. Swanson, E. C. Alvord.  “Correlations of a 3D Quantitative Model for Brain Tumor Growth and Invasion with Clinical Behavior,” Cancer Modeling Workshop (Corsica), June 2000
  5. K.R. Swanson, E. C. Alvord, J. D. Murray: A Three-Dimensional Quantitative Model for Brain Tumor (Glioma) Growth and Invasion, Annual Meeting of the Society for Industrial and Applied Mathematics (Puerto Rico), 2000 – Platform Presentation
  6. K. R. Swanson, L. True, J. D. Murray: A Quantitative Model for Prostate Specific Antigen (PSA) as a Marker of Tumor Growth, Annual Meeting of the Society for Industrial and Applied Mathematics (Puerto Rico), 2000 – Platform Presentation
  7. K. R. Swanson, J. Gottman, J. D. Murray: The Mathematics of Marriage: Using Modeling to Determine Marital Stability, Annual Meeting of the Society for Industrial and Applied Mathematics (Puerto Rico), 2000 – Platform Presentation
  8. K. R. Swanson, E. C. Alvord: A 3D Quantitative Model for Brain Tumor Growth and Invasion: Correlations Between the Model and Clinical Behavior, Mathematical Modeling of Brain Tumors (Edinburgh), 2001 – Platform Presentation
  9. K. R. Swanson, E. C. Alvord.  “Correlations of a 3D Quantitative Model for Brain Tumor Growth and Invasion with Clinical Behavior,” Cancer Modeling Workshop (Corsica), 2001
  10. K. R. Swanson, E. C. Alvord: Can a Three-Dimensional Model for Brain Tumor Growth and Invasion Predict Clinical Behavior in Real Patients?, Annual Meeting of the Society for Mathematical Biology (Hilo), 2001 – Platform Presentation
  11. K. R. Swanson, E. C. Alvord: The Dynamics of Prostate Specific Antigen (PSA) as a Marker for Cancerous Growth, Annual Meeting of the Society for Mathematical Biology (Hilo), 2001
  12. K. R. Swanson, E. C. Alvord: Correlations of a 3D Quantitative Model for Brain Tumor Growth and Invasion with Clinical Behavior, Cancer Modeling Workshop (Corsica, France), September 2001 – Platform Presentation
  13. K. R. Swanson, E. C. Alvord: A 3D Quantitative Model for Brain Tumor Growth and Invasion:  Correlations Between the Model and Clinical Behavior, Annual Meeting of the Society for NeuroOnocology (Washington, DC), 2001 (Neuro-Oncology, 3(4):323, 2001)
  14. K. R. Swanson, J. D. Murray, E. C. Alvord: Combining Radiological Observations with a Three-Dimensional Model to Predict Behavior of Brain Tumors in Real Patients, First SIAM Life Sciences Conference (Boston), 2002
  15. E. Mandonnet, P. Broët, K. R. Swanson, A. Carpentier, J.Y. Delattre, L. Capelle: Linear Growth of Mean Tumor Diameter in Low Grade Gliomas, Annual Meeting of the American Academy of Neurology (Denver), April 2002 – Platform Presentation
  16. K. R. Swanson, E. Mandonnet, E. C. Alvord Jr, J.Y. Delattre, L. Capelle, P. Broët, A. Carpentier: Linear Radial Growth of Gliomas: A Mathematical Analysis of Clinical Data, European Society of Mathematical and Theoretical Biology (Milan), July 2002 – Platform Presentation
  17. K. R. Swanson, E. C. Alvord, Jr., R. Rostomily: 3D Quantitative Modeling of Glioma Growth and Invasion: Predictions of Survival Time from Imaging Characteristics, European Society of Mathematical and Theoretical Biology (Milan), July 2002 – Platform Presentation
  18. K. R. Swanson, E. C. Alvord, Jr.: A Biomathematical and Pathological Analysis of an Untreated Glioblastoma, Neuropathology 2002 (Helsinki, Finland), July 2002 
  19. K. R. Swanson, E. C. Alvord, Jr.: The Concept of Gliomas as a Traveling Wave: The Application of a Mathematical Model to High- and Low-Grade Gliomas, Canadian Association of Neuropathology Annual Meeting (Vancouver, BC), October 2002 – Platform Presentation
  20. K. R. Swanson, E. C. Alvord, Jr.: Serial Imaging Observations and Postmortem Examination of an Untreated Glioblastoma: A Traveling Wave of Glioma Growth and Invasion, Society for Neuro-Oncology Annual Meeting (San Diego), November 2002
  21. M. Muzi, K. R. Swanson, A. M. Spence, J. M. Link, S. C. Shoner, C. M. Vernon, D. A. Mankoff, K. A. Krohn: Initial Assessment of an Acetate model for Membrane Biosynthesis in Glioma Patients, Society for Nuclear Medicine (New Orleans), June 2003
  22. E.C. Alvord Jr., K. R. Swanson, J. D. Murray: How to Improve the Diagnosis of Gliomas, American Association of Neuropathologists (Orlando), June 2003
  23. K. R. Swanson, E. C. Alvord, Jr.:  The Contribution of Net Proliferation and Invasion in the Development of Successful Treatment for Gliomas, Annual Meeting of the Society for Mathematical Biology (Dundee, Scotland), August 2003 – Platform Presentation
  24. K. R. Swanson, E. C. Alvord, Jr.: Interpreting the Dynamics of Tumor Recurrence Following Radical Resection Through a Theoretical Model for Glioma Growth and Invasion, Society for Neuro-Oncology Annual Meeting (Keystone, Colorado), November 2003  
  25. K. R. Swanson, R. Rostomily, E. C. Alvord, Jr. “Confirmation of a theoretical model describing the relative contributions of net growth and dispersal in individual infiltrating gliomas”, Canadian Journal of the Neurological Science, In Press, 2003) Platform presentation at the Annual Meeting of the Canadian Association of Neuropathology
  26. A. M. Spence, M. Muzi, K. A. Krohn, K. R. Swanson, J. M. Link, S. C. Schoner, C. M. Vernon, D. A. Mankoff.  Initial assessment of 1-[C-11]acetate PET imaging of membrane biosynthesis as a measure of growth in glioma-bearing patients, AACR-NCI-EORTC International Conference ( Boston, Massachusetts), November 2003 
  27. C. A. Bridge, E. C. Alvord, K. R. Swanson. “ Validation of a Mathematical Model for Brain Tumor Growth and Invasion: Serial Followup of an Untreated Glioma”, American Association for the Advancement of Science (Seattle, WA), February 2004
  28. H. L. P. Harpold, A. Lai, E. C. Alvord, K. R. Swanson. “Interpreting Serial Magnetic Resonance Imaging (MRI) of a Treated Glioblastoma: A Quantitative Modeling Perspective”, American Association for the Advancement of Science (Seattle, WA), February 2004
  29. K. R. Swanson, E. C. Alvord, Jr. “Growth of Glioblastomas Predicted from Diagnostic MRIs”, Growth & Death in the CNS International Conference (St. Moritz, Switzerland), March 2004
  30. A. M. Spence, M. Muzi, J. R. Grierson, K. R. Swanson, J. M. Link, D. A. Mankoff, F. O’Sullivan, S. Minoshima, K. A. Krohn. “Initial assessment of [18F]3’deoxy-3’-fluorothymidine (FLT) for PET imaging of DNA synthesis in glioma patients”, 51st Annual Mtg of Society for Nuclear Medicine (Philadelphia, PA), June 2004
  31. K. R. Swanson, M. Muzi, A. M. Spence, J. G. Rajendran, J. R. Grierson, K. A. Krohn. “Imaging Glioma Patients with F-MISO and MRI Provides Distinct Information in the Assessment of Radiation Therapy”, 51st Annual Mtg of Society for Nuclear Medicine (Philadelphia, PA), June 2004
  32. K. R. Swanson, M. Muzi, A. M. Spence, J. G. Rajendran, J. R. Grierson, K. A. Krohn. Concordance of FMISO-PET and MR Imaging Abnormalities in Glioma Patients. Society for Neuro-Oncology (Toronto, Canada), November 2004 - Neuro-Oncology 6 (4): 368-369 OCT 2004
  33. K. R. Swanson, H. Harpold, S. Nissen, C. Bridge, A. Lai, T. Cloughesy, E. C. Alvord, Jr. Monitoring the Effects of Treatment in Glioblastomas: Integrating Mathematical Modeling with Clinical Imaging. Society for Neuro-Oncology (Toronto, Canada), November 2004 -
    Neuro-Oncology, 6(4):369, 2004
  34. K. R. Swanson, H. Harpold, M. Muzi, A. M. Spence, J.G. Rajendran, K. A. Krohn. Concordance of FMISO and MRI Imaging Abnormalities in Malignant Gliomas.  AACR Molecular Targets and Cancer Therapeutics: Discovery,Biology,and Clinical Applications, November 2005
    CLINICAL CANCER RESEARCH 11 (24): 9130S-9130S Part 2 Suppl. S DEC 15 2005
  35. H. Harpold, A. R. A. Anderson, E. C. Alvord, Jr., K. R. Swanson. In Silico Model Integrating the Angiogenic Cascade Accurately Simulates Low and High-Grade Human Gliomas. AACR Annual Meeting, April 2006
  36. K. R. Swanson, H. Harpold, G. Chakraborty, C. Wang, M. Muzi, A. M. Spence, K. A. Krohn. Discordance of FMISO-PET and MRI Regions in Malignant Gliomas. 52nd Annual Meeting of the Society for Nuclear Medicine, June 2006
  37. A. M. Spence, M. Muzi, K. R. Swanson, J. K, Rockhill, J.G. Rajendran, T. C. Adamsen, D. L. Silbergeld, R. C. Rostomily, J. A. Scharnhorst, K. A. Krohn. Hypoxia Assessed with [F-18]-Fluormisonidazole (FMISO) PET Before Radiotherapy (RT) in Malignant Glioma Patients. 52nd Annual Meeting of the Society for Nuclear Medicine, June 2006
  38. K. R. Swanson.  Mathematical Modeling in Clinical Oncology, SIAM Conference on the Life Sciences, August 2006
  39. H. Harpold, A. R. A. Anderson, E. C. Alvord, Jr., K. R. Swanson. In Silico Model Integrating the Angiogenic Cascade Accurately Simulates Low and High-Grade Human Gliomas. International Congress on Neuropathology, September 2006.  BRAIN PATHOLOGY 16: S4-S4 007 Suppl. 1 SEP 2006
  40. K. R. Swanson, E. C. Alvord, Jr. Quantifying the Behavior of Gliomas: Comparing Theoretical Predictions with Actual Patient Observations. International Congress on Neuropathology, September 2006.  BRAIN PATHOLOGY 16: S39-S39 085 Suppl. 1 SEP 2006
  41. A. M. Spence, M. Muzi, K. R.  Swanson, J. K. Rockhill, J. G. Rajendran, T. Ch. Adamsen, J. M. Link , J. D.  Scharnhorst, K. A. Krohn: Hypoxia assessed in malignant gliomas with [F-18]-fluoromisonidazole (FMISO) PET before and after radiotherapy (RT). 18th EORTC-NCI-AACR Symposium on Molecular Targets and Cancer Therapeutics, Prague, Czech Republic, November 7-10, 2006. Eur J Cancer 4:161, 2006.
  42. K. R. Swanson, R. Rockne, J. K. Rockhill, E. C. Alvord, Jr. Mathematical modeling of radiotherapy in individual glioma patients: quantifying and predicting response to radiation therapy.  AACR Annual Meeting (Platform Presentation), 2007
  43. K. R. Swanson, G. Chakraborty, R. Rockne, C. Wang, D. L. Peacock, M. Muzi,  E. C. Alvord Jr, K. Krohn, A. M. Spence. A Mathematical Model for Glioma Growth and Invasion Links Biological Aggressiveness Assessed by MRI with Hypoxia Assessed by FMISO-PET. 53nd Annual Meeting of the Society for Nuclear Medicine, June 2007
  44. A. M. Spence, M. Muzi, K. R.  Swanson, J. K. Rockhill, J. G. Rajendran, T. Ch. Adamsen, J. M. Link, J. D.  Scharnhorst, D. Silbergeld, R. Rostomily, K. A. Krohn: Imaging Resistance from Hypoxia in Glioblastoma Multiforme (GM) with [F-18]-Fluromisonidazole (FMISO) PET before and after Radiotherapy(RT). 59th American Academy of Neurology Annual Meeting, 2007