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Phys 1250 Solutions

This page serves as a source for worked problems and materials from past Physics 1250 courses at Ohio State.

Math Review

Worked Examples

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3. Friction, free-body diagrams, and rotated coordinate systems

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Lab Group Work

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12. Thermodynamics

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  • Translational Physics
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Therapeutic Physics, American Board of Radiology

AAPM Jack Fowler Junior Investigators Award, 2004

Publications in Radiation Oncology and Medical Physics

Yan S, Lu HM, Flanz J, Adams J, Trofimov A, Bortfeld T. Reassessment of the necessity of the proton gantry:  analysis of beam orientations from 4332 treatments at the F.H. Burr proton center over the past 10 years. International Journal of Radiation Oncology Biology Physics 2016

Moteabbed M, Trofimov A, Sharp GC, Wang Y, Zietman AL, Efstathiou JA, Lu HM. A prospective comparison of the effects of interfractional variations on proton therapy and IMRT for prostate cancer. International Journal of Radiation Oncology Biology Physics 2016

Patel AV, Lane AM, Morrison MA, Trofimov AV, Shih HA, Gragoudas ES, Kim IK. Visual Outcomes after Proton Beam Irradiation for Choroidal Melanomas Involving the Fovea. Ophthalmology 2015 

M oteabbed M, Sharp GC, Wang Y, Trofimov A, Efstathiou JA, Lu HM. Validation of a deformable image registration technique for cone beam CT-based dose verification. Medical Physics 2015;42:196-205

Cheney MD, Chen YL, Lim R, Winrich BK, Grosu AL, Trofimov AV, Depauw N, Shih HA, Schwab JH, Hornicek FJ, DeLaney TF. 18F-FMISO PET/CT visualization of tumor hypoxia in patients with chordoma of the mobile and sacrococcygeal spine. International Journal of Radiation Oncology Biology Physics 2014

Safai S, Trofimov A, Adams JA, Engelsman M, Bortfeld T. The rationale for intensity-modulated proton therapy in geometrically challenging cases. Physics in Medicine and Biology 2013;58:6337-6353.

Giantsoudi D, Grassberger C, Craft D, Niemierko A, Trofimov A, Paganetti H. Linear energy transfer (LET)-Guided Optimization in intensity modulated proton therapy (IMPT): feasibility study and clinical potential. International Journal of Radiation Oncology Biology Physics 2013;87:216-222.

Wang. Y, Efstathiou JE, Lu H, Sharp GC, Trofimov A. Hypofractionated proton therapy for prostate cancer: dose delivery uncertainty due to inter-fractional motion. Medical Physics 2013;40:071714

Zeng C, Giantsoudi D, Grassberger C, Goldberg S, Niemierko A, Paganetti H, Efstathiou JA, Trofimov A.  Maximizing the biological effect of proton dose delivered with scanned beams via inhomogeneous daily dose distributions. Medical Physics 2013;40:051708.

De Amorim Bernstein K, Sethi R, Trofimov A, Zeng C, Fullerton B, Yeap BY, Ebb D, Tarbell NJ, Yock TI, Macdonald SM. Early clinical outcomes using proton radiation for children with central nervous system atypical teratoid rhabdoid tumors. International Journal of Radiation Oncology Biology Physics 2013;86:114-20.

Trofimov A, Unkelbach J, DeLaney TF, Bortfeld T. Visualization of a variety of possible dosimetric outcomes in radiation therapy using dose-volume histogram bands. Practical Radiation Oncology 2012;2:164-171. 

Chen W, Unkelbach J, Trofimov A, Madden T, Kooy H, Bortfeld T, Craft D. Including robustness in multi-criteria optimization for intensity-modulated proton therapy. Physics in Medicine and Biology 2012;57:591-608.

Wang Y, Efstathiou J, Sharp G, Lu HM, Ciernik IF, Trofimov A. Evaluation of the dosimetric impact of inter-fractional anatomical variations on prostate proton therapy using daily in-room CT images. Medical Physics 2011

Grassberger C, Trofimov A, Lomax A, Paganetti H. Variations in linear energy transfer within clinical proton therapy fields and the potential for biological treatment planning. International Journal of Radiation Oncology Biology Physics 2011

Trofimov A, NguyenPL, EfstathiouJA, Wang Y, LuHM, EngelsmanM, MerrickS, ChengCW, WongJR, ZietmanAL. Interfractional variations in the set-up of pelvic bony anatomy and soft tissue, and their implication on the delivery of proton therapy for localized prostate cancer. International Journal of Radiation Oncology Biology Physics 2011; 80:928-937.

Ding A, Gu J, Trofimov A, Xu XG.  Monte Carlo calculation of imaging doses from diagnostic multi-detector CT and kilovoltage cone-beam CT as part of prostate cancer treatment plans. Medical Physics 2010; 37:6199-6204.

MacDonald SM, Trofimov A, Safai S, Adams J, Fullerton B, Ebb D, Tarbell NJ, Yock T. Proton Radiotherapy for Pediatric Central Nervous System Germ Cell Tumors: Early Clinical Outcomes. International Journal of Radiation Oncology Biology Physics 2011; 79:121-129

Nguyen PL, Chen RC, Hoffman KE, Trofimov A, Efstathiou JA, Coen JJ, Shipley WU, Zietman AL, Talcott JA. Rectal Dose-Volume Histogram Parameters Are Associated with Long-Term Patient-Reported Gastrointestinal Quality of Life After Conventional and High-Dose Radiation for Prostate Cancer: A Subgroup Analysis of a Randomized Trial. International Journal of Radiation Oncology Biology Physics 2010; 78:1081-5

Suit H, Delaney T, Goldberg S, Paganetti H, Clasie B, Gerweck L, Niemierko A, Hall E, Flanz J, Hallman J, Trofimov A. Proton vs carbon ion beams in the definitive radiation treatment of cancer patients. Radiotherapy and Oncology 2010; 95:3-22.

Kooy HM, Clasie BM, Lu HM, Madden TM, Bentefour H, Depauw N, Adams JA, Trofimov AV, Demaret D, Delaney TF, Flanz JB. A case study in proton pencil-beam scanning delivery. International Journal of Radiation Oncology Biology Physics. 2010; 76:624-30.

Efstathiou JA, Trofimov AV, Zietman AL. Life, liberty, and the pursuit of protons: an evidence-based review of the role of particle therapy in the treatment of prostate cancer. Cancer J. 2009; 15:312-8.

Seco J, Robinson D, Trofimov A, Paganetti H. Breathing interplay effects during proton beam scanning: simulation and statistical analysis. Physics in Medicine and Biology 2009; 54:N283-294.

Vrancic C, Trofimov A, Chan TCY, Sharp G, Bortfeld T. Experimental evaluation of a robust optimization method for IMRT of moving targets. Physics in Medicine and Biology 2009; 54: 2901-2914.

Bortfeld T, Chan TCY, Trofimov A, Tsitsiklis JN. Robust management of motion uncertainty in intensity-modulated radiation therapy. Operations Research 2008; 56:1461-1473

Nguyen PL, Trofimov A, Zietman AL. Proton beam or intensity-modulated therapy in the treatment of prostate cancer? Oncology 2008; 22:748-754.

Trofimov A, Vrancic C, Chan TCY, Sharp GC, Bortfeld T. Tumor trailing startegy for intensity-modulated radiation therapy of moving targets. Medical Physics 2008; 35:1718-1733

MacDonald SM, Safai S, Trofimov A, Wolfgang J, Fullerton B, Yeap BY, Bortfeld T, Tarbell NJ, Yock T. Proton radiotherapy for childhood ependymoma: initial clinical outcomes and dose comparisons. International Journal of Radiation Oncology Biology Physics 2008; 71:979-987

Suit H, Kooy H,Trofimov A, Farr J, Munzenrider J, DeLaney T, Loeffler J, Clasie B, Safai S, Paganetti H. Should positive phase III clinical trial data be required before proton beam therapy is more widely adopted? No. Radiotherapy and Oncology 2008; 86:148-153.

Trofimov A, Nguyen PL, Coen JJ, Doppke KP, Schneider RJ, Adams JA, Bortfeld TR, Zietman AL, DeLaney TF, Shipley WU. Radiotherapy treatment of early stage prostate cancer with IMRT and protons: a treatment planning comparsion. International Journal of Radiation Oncology Biology Physics 2007; 69:444-453 (follow-up: Letter to the Editor. In reply to Ms.Albertini et al. International Journal of Radiation Oncology Biology Physics 2007; 69:1334-1335)

Sharp GC, Lu HM, Trofimov A, Tang X, Jiang SB, Turcotte J, Gierga DP, Chen GTY, Hong TS. Assessing residual motion for gated proton-beam radiotherapy.Journal of Radiation Research 2007; 48:A55-59.

Censor Y, Bortfeld T, Martin B, Trofimov A. A unified approach for inversion problems in intensity-modulated radiation therapy. Physics in Medicine and Biology 2006; 51:2353-65.

Trofimov A, Rietzel E, Lu H, Martin B, Jiang S, Chen G, Bortfeld T. Temporo-spatial IMRT optimization: Concepts, implementation and initial results. Physics in Medicine and Biology 2005; 50:2779-98.

Paganetti H, Jiang H, Trofimov A. 4D Monte Carlo simulation of proton beam scanning: modeling of variations in time and space to study the interplay between scanning pattern and time-dependent patient geometry. Physics in Medicine and Biology 2005; 50:983-90.

DeLaney TF, Trofimov AV, Engelsman M, Suit HD. Advanced-technology radiation therapy in the management of bone and soft tissue sarcomas. Cancer Control 2005; 12:27-35

Weber DC, Trofimov AV, Delaney TF, Bortfeld T. A treatment planning comparison of intensity modulated photon and proton therapy for paraspinal sarcomas. International Journal of Radiation Oncology Biology Physics 2004; 58:1596-606.

Suit H, Goldberg S, Niemierko A, Trofimov A, Adams J, Paganetti H, Chen GTY, Bortfeld T, Rosenthal S, Loeffler J, DeLaney T. Protons to Replace Photon Beams in Radical Dose Treatments. Acta Oncologica 2003; 42:800-8.

Trofimov A, Bortfeld T. Optimization of beam parameters and treatment planning for intensity modulated proton therapy. Technology in Cancer Research and Treatment 2003; 2:437-44.

Trofimov A, Bortfeld T. Beam delivery sequencing for intensity modulated proton therapy. Physics in Medicine and Biology 2003; 48:1321-31.

Publications in High-Energy Physics (with g-2 Collaboration, Brookhaven National Laboratory)

Bennett GW, et al. Improved limit on the muon electric dipole moment. Physical Review D 2009; 80:052008.

Bennett GW et al. Search for Lorentz and CPT violation effects in muon spin precession. Physical Review Letters 2008; 100:091602.

Bennett GW et al Statistical equations and methods applied to the precision muon (g-2) experiment at BNL. Nuclear Instruments and Methods in Physics Research A 2007; 579:1096-1116.

Bennett GW et al. Final report of the E821 muon anomalous magnetic moment measurement at BNL. Physical Review D 2006; 73:072003.

Bennett GW et al. Measurement of the negative muon anomalous moment to 0.7 ppm. Physical Review Letters 2004; 92:161802.

Bennett GW et al. Measurement of the positive muon anomalous moment to 0.7 ppm. Physical Review Letters 2002; 89:101804.

Brown HN et al. Precise measurement of the positive muon anomalous magnetic moment. Physical Review Letters 2001; 86:2227-31.

Sedykh SA et al. Electromagnetic calorimeters for the BNL muon (g-2) experiment. Nuclear Instruments and Methods A 2000; 455:346-60.

Brown HN et al. Improved measurement of the positive muon anomalous magnetic moment. Physical Review D 2000; 62:091101.

Carey RM et al. New measurement of the anomalous magnetic moment of the positive muon. Physical Review Letters 1999; 82:1632-35.



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