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Hillen T, Greese B, Martin J, de Vries G. Birth-jump processes and application to forest fire spotting. JOURNAL OF BIOLOGICAL DYNAMICS 2014; 9 Suppl 1:104-127. [PMID: 25186246 DOI: 10.1080/17513758.2014.950184] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Birth-jump models are designed to describe population models for which growth and spatial spread cannot be decoupled. A birth-jump model is a nonlinear integro-differential equation. We present two different derivations of this equation, one based on a random walk approach and the other based on a two-compartmental reaction-diffusion model. In the case that the redistribution kernels are highly concentrated, we show that the integro-differential equation can be approximated by a reaction-diffusion equation, in which the proliferation rate contributes to both the diffusion term and the reaction term. We completely solve the corresponding critical domain size problem and the minimal wave speed problem. Birth-jump models can be applied in many areas in mathematical biology. We highlight an application of our results in the context of forest fire spread through spotting. We show that spotting increases the invasion speed of a forest fire front.
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Affiliation(s)
- T Hillen
- a Department of Mathematical and Statistical Sciences, Centre for Mathematical Biology , University of Alberta , Edmonton , Canada
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2
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Tomasina J, Lheureux S, Gauduchon P, Rault S, Malzert-Fréon A. Nanocarriers for the targeted treatment of ovarian cancers. Biomaterials 2013; 34:1073-101. [DOI: 10.1016/j.biomaterials.2012.10.055] [Citation(s) in RCA: 51] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/18/2012] [Accepted: 10/23/2012] [Indexed: 12/09/2022]
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Liu Y, Solomon M, Achilefu S. Perspectives and potential applications of nanomedicine in breast and prostate cancer. Med Res Rev 2010; 33:3-32. [PMID: 23239045 DOI: 10.1002/med.20233] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023]
Abstract
Nanomedicine is a branch of nanotechnology that includes the development of nanostructures and nanoanalytical systems for various medical applications. Among these applications, utilization of nanotechnology in oncology has captivated the attention of many research endeavors in recent years. The rapid development of nano-oncology raises new possibilities in cancer diagnosis and treatment. It also holds great promise for realization of point-of-care, theranostics, and personalized medicine. In this article, we review advances in nano-oncology, with an emphasis on breast and prostate cancer because these organs are amenable to the translation of nanomedicine from small animals to humans. As new drugs are developed, the incorporation of nanotechnology approaches into medicinal research becomes critical. Diverse aspects of nano-oncology are discussed, including nanocarriers, targeting strategies, nanodevices, as well as nanomedical diagnostics, therapeutics, and safety. The review concludes by identifying some limitations and future perspectives of nano-oncology in breast and prostate cancer management.
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Affiliation(s)
- Yang Liu
- Department of Radiology, Washington University School of Medicine, St. Louis, Missouri, USA
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Oku N, Yamashita M, Katayama Y, Urakami T, Hatanaka K, Shimizu K, Asai T, Tsukada H, Akai S, Kanazawa H. PET imaging of brain cancer with positron emitter-labeled liposomes. Int J Pharm 2010; 403:170-7. [PMID: 20934495 DOI: 10.1016/j.ijpharm.2010.10.001] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/06/2010] [Revised: 09/30/2010] [Accepted: 10/02/2010] [Indexed: 10/19/2022]
Abstract
Since nanocarriers such as liposomes are known to accumulate in tumors of tumor-bearing animals, and those that have entrapped a positron emitter can be used to image a tumor by PET, we applied (18)F-labeled 100-nm-sized liposomes for the imaging of brain tumors. Polyethylene glycol (PEG)-modified liposomes, which are known to accumulate in tumors by passive targeting and those modified with Ala-Pro-Arg-Pro-Gly, which are known to home into angiogenic sites were used. Those liposomes labeled with DiI fluorescence accumulated in a glioma implanted in a rat brain 1h after the injection, although they did not accumulate in the normal brain tissues due to the protection afforded by the blood-brain barrier. Preformed liposomes were easily labeled with 1-[(18)F]fluoro-3,6-dioxatetracosane, and enabled the imaging of gliomas by PET with higher contrast than that obtained with [(18)F]deoxyfluoroglucose. In addition, the smallest tumor among those tested, having a diameter of 1mm was successfully imaged by the liposomal (18)F. Therefore, nanocarrier-based imaging of brain tumors is promising for the diagnosis of brain cancer and possible drug delivery-based therapy.
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Affiliation(s)
- Naoto Oku
- Department of Medical Biochemistry, University of Shizuoka, Yada, Shizuoka 422-8526, Japan.
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Nanotargeted radionuclides for cancer nuclear imaging and internal radiotherapy. J Biomed Biotechnol 2010; 2010. [PMID: 20811605 PMCID: PMC2929518 DOI: 10.1155/2010/953537] [Citation(s) in RCA: 70] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/13/2010] [Accepted: 06/15/2010] [Indexed: 12/18/2022] Open
Abstract
Current progress in nanomedicine has exploited the possibility of designing tumor-targeted nanocarriers being able to deliver radionuclide payloads in a site or molecular selective manner to improve the efficacy and safety of cancer imaging and therapy. Radionuclides of auger electron-, α-, β-, and γ-radiation emitters have been surface-bioconjugated or after-loaded in nanoparticles to improve the efficacy and reduce the toxicity of cancer imaging and therapy in preclinical and clinical studies. This article provides a brief overview of current status of applications, advantages, problems, up-to-date research and development, and future prospects of nanotargeted radionuclides in cancer nuclear imaging and radiotherapy. Passive and active nanotargeting delivery of radionuclides with illustrating examples for tumor imaging and therapy are reviewed and summarized. Research on combing different modes of selective delivery of radionuclides through nanocarriers targeted delivery for tumor imaging and therapy offers the new possibility of large increases in cancer diagnostic efficacy and therapeutic index. However, further efforts and challenges in preclinical and clinical efficacy and toxicity studies are required to translate those advanced technologies to the clinical applications for cancer patients.
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Hong H, Zhang Y, Sun J, Cai W. Molecular imaging and therapy of cancer with radiolabeled nanoparticles. NANO TODAY 2009; 4:399-413. [PMID: 20161038 PMCID: PMC2753977 DOI: 10.1016/j.nantod.2009.07.001] [Citation(s) in RCA: 166] [Impact Index Per Article: 11.1] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/16/2023]
Abstract
This review summarizes the current state-of-the-art of radiolabeled nanoparticles for molecular imaging and internal radiotherapy applications targeting cancer. With the capacity to provide enormous flexibility, radiolabeled nanoparticles have the potential to profoundly impact disease diagnosis and patient management in the near future. Currently, the major challenges facing the research on radiolabeled nanoparticles are desirable (tumor) targeting efficacy, robust chemistry for both radionuclide encapsulation/incorporation and targeting ligand conjugation, favorable safety profile, as well as certain commercial and regulatory hurdles.
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Affiliation(s)
- Hao Hong
- Department of Radiology, School of Medicine and Public Health, University of Wisconsin - Madison, Madison, Wisconsin, USA
| | - Yin Zhang
- Department of Medical Physics, School of Medicine and Public Health, University of Wisconsin - Madison, Madison, Wisconsin, USA
| | - Jiangtao Sun
- Department of Radiology, School of Medicine and Public Health, University of Wisconsin - Madison, Madison, Wisconsin, USA
| | - Weibo Cai
- Department of Radiology, School of Medicine and Public Health, University of Wisconsin - Madison, Madison, Wisconsin, USA
- Department of Medical Physics, School of Medicine and Public Health, University of Wisconsin - Madison, Madison, Wisconsin, USA
- University of Wisconsin Carbone Cancer Center, Madison, Wisconsin, USA
- Corresponding author at: Department of Radiology, School of Medicine and Public Health, University of Wisconsin - Madison, 1111 Highland Ave, Room 7137, Madison, WI 53705-2275, USA. Tel.: +1 608 262 1749; fax: +1 608 263 8613. (W. Cai)
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Ferro-Flores G, Arteaga de Murphy C. Pharmacokinetics and dosimetry of 188 Re-pharmaceuticals. Adv Drug Deliv Rev 2008; 60:1389-401. [PMID: 18547675 DOI: 10.1016/j.addr.2008.04.008] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/15/2007] [Accepted: 04/16/2008] [Indexed: 01/08/2023]
Abstract
The main objective of this review is to apportion current and new insight into the biodistribution, radiopharmacokinetics, dosimetry and cell targeting of rhenium-188 labeled radiopharmaceuticals used as therapeutic drugs. The emphasis lies on the generator obtained rhenium-188, its physical, therapeutic, dosimetric and coordinated compounds. Its use in radioimmunotherapy for lymphoma and other hematological diseases with monoclonal antibodies is discussed. Radiolabeled peptides to target cell receptors are an important field in nuclear medicine and in some research facilities are already being used, especially, somatostatin, bombesin and other peptides. Small molecules labeled with 188 Re are promising as therapeutic drugs. A review about some of the non-specific targeting molecules with therapeutic or pain palliation effect such as phosphonates, lipiodol, microparticles and other interesting molecules is included. Research on the labeling of biomolecules with the versatile rhenium-188 has contributed to the development of therapeutics with favorable pharmacokinetic and dosimetric properties for cancer treatment.
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Affiliation(s)
- Guillermina Ferro-Flores
- Gerencia de Aplicaciones Nucleares en la Salud, Instituto Nacional de Investigaciones Nucleares, México
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Hamoudeh M, Kamleh MA, Diab R, Fessi H. Radionuclides delivery systems for nuclear imaging and radiotherapy of cancer. Adv Drug Deliv Rev 2008; 60:1329-46. [PMID: 18562040 DOI: 10.1016/j.addr.2008.04.013] [Citation(s) in RCA: 199] [Impact Index Per Article: 12.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/15/2007] [Accepted: 04/16/2008] [Indexed: 01/30/2023]
Abstract
The recent developments of nuclear medicine in oncology have involved numerous investigations of novel specific tumor-targeting radiopharmaceuticals as a major area of interest for both cancer imaging and therapy. The current progress in pharmaceutical nanotechnology field has been exploited in the design of tumor-targeting nanoscale and microscale carriers being able to deliver radionuclides in a selective manner to improve the outcome of cancer diagnosis and treatment. These carriers include chiefly, among others, liposomes, microparticles, nanoparticles, micelles, dendrimers and hydrogels. Furthermore, combining the more recent nuclear imaging multimodalities which provide high sensitivity and anatomical resolution such as PET/CT (positron emission tomography/computed tomography) and SPECT/CT (combined single photon emission computed tomography/computed tomography system) with the use of these specific tumor-targeting carriers constitutes a promising rally which will, hopefully in the near future, allow for earlier tumor detection, better treatment planning and more powerful therapy. In this review, we highlight the use, limitations, advantages and possible improvements of different nano- and microcarriers as potential vehicles for radionuclides delivery in cancer nuclear imaging and radiotherapy.
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Affiliation(s)
- Misara Hamoudeh
- Université de Lyon, 69622, France, Université Lyon1, CNRS, UMR 5007, LAGEP, Pharmacotechnical department, ISPB facuté de Pharmacie
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Zavaleta CL, Phillips WT, Soundararajan A, Goins BA. Use of avidin/biotin-liposome system for enhanced peritoneal drug delivery in an ovarian cancer model. Int J Pharm 2007; 337:316-28. [PMID: 17276633 DOI: 10.1016/j.ijpharm.2007.01.010] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/17/2006] [Revised: 12/18/2006] [Accepted: 01/03/2007] [Indexed: 10/23/2022]
Abstract
The goal of this study was to determine the distribution of the avidin/biotin-liposome system in an ovarian cancer xenograft model. Optimal avidin/biotin-liposome injection sequence with enhanced liposome accumulation to the peritoneum was determined. Two weeks after NIH:OVCAR-3 cell inoculation, rats were divided into three groups. Group 1 (B-A) (n=4), received an intraperitoneal injection of (99m)Tc-blue-biotin-liposomes 30 min before an intraperitoneal injection of avidin. Group 2 (A-B) (n=4), received an intraperitoneal injection of avidin 30 min before an intraperitoneal injection of (99m)Tc-blue-biotin-liposomes. Group 3 (A-B 2h) (n=5), received an intraperitoneal injection of avidin 2h before an intraperitoneal injection of (99m)Tc-blue-biotin-liposomes. Three additional non-tumor nude rats served as controls in each group, and were subjected to the same injection sequences. Scintigraphic imaging commenced at various times post (99m)Tc-blue-biotin-liposome injection. After imaging, rats were euthanized at 23 h post-liposome injection for tissue biodistribution. Images showed no apparent difference in liposome distribution between control and tumor animals. Regional uptake analysis at 4h for tumor rats showed significantly higher lymphatic channel uptake in the A-B 2h group (p<0.05) and a trend of increased peritoneal uptake in A-B group. By 22 h, peritoneal and lymphatic channel uptake was similar for all groups. At necropsy, most activity was found in blue-stained omentum, diaphragm, mediastinal and abdominal nodes. Bowel activity was minimal. These results correlate with previous normal rat studies, and demonstrate potential use of this avidin/biotin-liposome system for prolonging drug delivery to the peritoneal cavity and associating lymph nodes in this ovarian cancer xenograft model.
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MESH Headings
- Animals
- Antineoplastic Agents/administration & dosage
- Antineoplastic Agents/chemistry
- Antineoplastic Agents/pharmacokinetics
- Avidin/chemistry
- Avidin/metabolism
- Biotin/chemistry
- Biotin/metabolism
- Cell Line, Tumor
- Coloring Agents/administration & dosage
- Coloring Agents/chemistry
- Coloring Agents/pharmacokinetics
- Delayed-Action Preparations
- Drug Compounding
- Female
- Injections, Intraperitoneal
- Lipids/chemistry
- Liposomes
- Lymph Nodes/diagnostic imaging
- Lymph Nodes/metabolism
- Mice
- Mice, Nude
- Neoplasms, Experimental/diagnostic imaging
- Neoplasms, Experimental/metabolism
- Ovarian Neoplasms/diagnostic imaging
- Ovarian Neoplasms/metabolism
- Peritoneal Cavity/diagnostic imaging
- Positron-Emission Tomography/methods
- Radiopharmaceuticals
- Rats
- Rats, Nude
- Reproducibility of Results
- Rosaniline Dyes/administration & dosage
- Rosaniline Dyes/chemistry
- Rosaniline Dyes/pharmacokinetics
- Technetium
- Tomography, Emission-Computed, Single-Photon
- Tomography, X-Ray Computed
- Transplantation, Heterologous
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Affiliation(s)
- Cristina L Zavaleta
- Department of Radiology, MSC 7800, University of Texas Health Science Center at San Antonio, 7703 Floyd Curl Drive, San Antonio, TX 78229-3900, USA.
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Syme AM, Kirkby C, Riauka TA, Fallone BG, McQuarrie SA. Monte Carlo investigation of single cell beta dosimetry for intraperitoneal radionuclide therapy. Phys Med Biol 2004; 49:1959-72. [PMID: 15214535 DOI: 10.1088/0031-9155/49/10/009] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Abstract
Single event spectra for five beta-emitting radionuclides (Lu-177, Cu-67, Re-186, Re-188, Y-90) were calculated for single cells from two source geometries. The first was a surface-bound isotropically emitting point source and the second was a bath of free radioactivity in which the cell was submerged. Together these represent a targeted intraperitoneal radionuclide therapy. Monoenergetic single event spectra were calculated over an energy range of 11 keV to 2500 keV using the EGSnrc Monte Carlo system. Radionuclide single event spectra were constructed by weighting monoenergetic single event spectra according to radionuclide spectra appropriate for each source geometry. In the case of surface-bound radioactivity, these were radionuclide beta decay spectra. For the free radioactivity, a continuous slowing down approximation spectrum was used that was calculated based on the radionuclide decay spectra. The frequency mean specific energy per event increased as the energy of the beta emitter decreased. This is because, at these energies, the stopping power of the electrons decreases with increasing energy. The free radioactivity produced a higher frequency mean specific energy per event than the corresponding surface-bound value. This was primarily due to the longer mean path length through the target for this geometry. This information differentiates the radionuclides in terms of the physical process of energy deposition and could be of use in the radionuclide selection procedure for this type of therapy.
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Affiliation(s)
- A M Syme
- Department of Physics, University of Alberta, 412 Avadh Bhatia Physics Laboratory, Edmonton, Alberta T6G 2J1, Canada.
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