Every cancer patient deserves their own equation: Kristin Swanson at TEDxUChicago 2014

TEDx Talks
20 May 201417:39

Summary

TLDRIn this talk, a mathematician shares a personal story about losing several family members, including their father, to cancer. This personal experience inspired them to apply mathematics to cancer treatment, specifically focusing on improving clinical decisions for individual patients. The speaker highlights how mathematical models can help tailor treatments to unique patients, rather than relying on generalized clinical trial results. They illustrate the potential of these models to better predict tumor growth, treatment success, and improve patient outcomes, advocating for more personalized and precise cancer care.

Takeaways

  • 🧑‍⚕️ The speaker shares personal experiences of losing family members, including their father, to cancer, highlighting the widespread impact of the disease.
  • 📊 The speaker emphasizes that cancer is a significant global issue, and everyone can likely relate to knowing someone affected by it.
  • ➕ The speaker believes math can contribute to finding solutions for cancer, despite the complexity of the disease.
  • 👨‍👧‍👦 The speaker's love for math began at a young age, influenced by their father, who played math games with them during long road trips.
  • 💔 The speaker's father was diagnosed with lung cancer at age 62, which deeply impacted the speaker and led them to focus on cancer research.
  • 📚 The speaker pursued a PhD in applied mathematics, studying under Jim Murray, a pioneer in mathematical biology, to explore the intersection of math and biology.
  • 👩‍🔬 Attending tumor boards, the speaker learned how physicians make complex treatment decisions based on clinical trials and patient data.
  • 🏥 Clinical trials typically focus on the 'median patient,' but the speaker argues that every patient is unique and should not be treated as a statistic.
  • 🔬 The speaker's research focuses on glioblastoma, an aggressive brain cancer, and how math models can help predict tumor behavior and improve treatment plans.
  • 💡 The speaker advocates for using mathematical models to better individualize cancer treatments, potentially improving patient outcomes and avoiding unnecessary suffering.

Q & A

  • What personal experience did the speaker have with cancer?

    -The speaker’s father was diagnosed with lung cancer when the speaker was 20 years old. The speaker was heavily involved in his care during the last seven months of his life, which motivated the speaker to study the intersection of math and biology to contribute to cancer research.

  • How did the speaker’s background in mathematics influence their approach to cancer research?

    -The speaker’s background in mathematics, cultivated by their father during childhood, gave them the tools to approach cancer as a complex system. This mathematical approach became the foundation for developing models to understand and improve cancer treatments.

  • What is the role of mathematical biology in cancer research, according to the speaker?

    -Mathematical biology helps understand the complexity of cancer as a system. It allows researchers to model tumor growth, cell behavior, and treatment responses, providing more personalized and effective strategies for cancer treatment.

  • What frustrations did the speaker experience while dealing with their father's cancer treatment?

    -The speaker felt powerless and frustrated by their inability to contribute to medical decisions and understand the medical conversations. Despite their mathematical background, they struggled to grasp the complexity of cancer treatment decision-making at the time.

  • Why does the speaker believe the solution to cancer involves math?

    -The speaker believes math is essential because it allows for better modeling of the complexity of cancer. Mathematical tools can simulate how tumors grow, how they respond to treatments, and predict outcomes, moving beyond generalized clinical trial results to more personalized patient care.

  • What is the concept of ‘treating to the median’ in cancer treatment, and what is its limitation?

    -‘Treating to the median’ refers to basing treatment decisions on the average outcomes from clinical trials, which may not reflect the individual patient's response. The limitation is that every patient is different, and treating them based on a median approach can overlook those who fall outside the typical response curve.

  • How does the speaker suggest cancer treatment should be individualized?

    -The speaker suggests using mathematical models to predict how a specific patient's tumor will behave and respond to treatment. This would allow doctors to tailor treatment plans more precisely to the individual patient rather than relying solely on generalized data from clinical trials.

  • What example does the speaker give of a case where traditional clinical trials might mislead treatment decisions?

    -The speaker gives an example of a 66-year-old patient with a brain tumor whose tumor grew during treatment, which would typically be considered a failure. However, the patient lived for five years, much longer than expected, suggesting that despite the tumor growth, the treatment was effective in derailing the tumor's course.

  • What is the role of MRI in cancer treatment decision-making, according to the speaker?

    -MRI scans are used to provide detailed images of tumors before and after treatment. Physicians use these images to assess the tumor's size and shape, plan surgeries, and tailor radiation doses. However, the speaker argues that MRI alone may not tell the full story of a tumor's behavior and response to therapy.

  • What drives the speaker’s commitment to improving cancer treatment through mathematics?

    -The speaker is driven by personal loss, including the death of their father and other family members to cancer. Their work is further inspired by the colleagues and friends in their lab who have faced cancer. They are motivated to ensure that every patient receives treatment tailored to their unique condition.

Outlines

00:00

👨‍👩‍👧‍👦 Family Ties and Personal Loss to Cancer

The speaker introduces their family members who passed away from cancer, emphasizing that many in the audience likely share similar experiences. They explain that their personal connection to cancer began with their father, who was a Vietnam War veteran and engineer, diagnosed with lung cancer at age 62. The speaker recounts the emotional and logistical challenges of caring for their father while balancing university studies in math and physics, ultimately feeling powerless in the face of medical decisions they couldn’t fully comprehend.

05:01

📊 The Role of Clinical Trials in Cancer Treatment Decisions

This section delves into how clinical trials guide treatment decisions in tumor boards. Physicians rely on clinical trials that focus on median outcomes to determine the best therapy for cancer patients. However, the speaker highlights the complexity of individual patient responses, stressing that clinical trials provide general trends (median survival rates), but not all patients respond in the same way. The speaker uses their own family’s experiences to illustrate the diversity of cancer outcomes, where one brother lived longer than expected while another died earlier.

10:03

🧠 Studying Brain Tumors: A Deeper Look into Glioblastoma

The speaker shifts focus to their research on glioblastoma, a highly aggressive and uniformly fatal type of brain cancer. They explain how tumor boards discuss individual patient cases, with medical teams trying to find personalized treatment plans. MRI scans play a critical role in this process, giving detailed images of the tumor's location and response to treatment. The speaker emphasizes that even though median survival is low, each patient is unique, which makes cancer treatment a combination of scientific precision and the art of medicine.

15:05

📉 The Complexities of Cancer Growth and Treatment Response

The speaker discusses the limitations of judging a treatment's success based on tumor size alone. In one case, although a patient’s tumor grew during treatment (usually indicating failure), the patient lived much longer than expected, defying median statistics. This suggests that understanding cancer is more complex than just tracking tumor size, as factors like individual cell behavior and treatment impact on tumor growth trajectories are crucial. The speaker calls for a more nuanced approach to treatment decisions, focusing on how therapies deflect tumor growth rather than simply stopping it.

Mindmap

Keywords

💡Cancer

Cancer is a disease characterized by the uncontrolled division of abnormal cells in the body. In the video, the speaker highlights the personal impact of cancer, as several members of their family, including their father and brothers, passed away due to the disease. The theme of cancer is central to the talk, focusing on both the personal toll it takes and the scientific approach to finding better solutions for treatment.

💡Mathematics

Mathematics is the study of numbers, quantities, shapes, and patterns. In this context, the speaker discusses the application of mathematics to cancer research. The speaker’s conviction is that mathematical models can be used to better understand and treat cancer, moving beyond traditional approaches in medical research.

💡Clinical trials

Clinical trials are research studies that test new medical treatments in patients to evaluate their effectiveness. The speaker explains that clinical trials provide the 'median' patient data used by physicians to make treatment decisions. However, the video critiques the reliance on median outcomes, suggesting that individualized approaches, aided by mathematics, could offer more tailored and effective treatments.

💡Tumor board

A tumor board is a meeting where doctors from different specialties discuss the best treatment options for individual cancer patients. The speaker describes their experience attending these meetings and highlights the collaborative decision-making process, where various specialists come together to determine the best course of action for a patient.

💡Median patient

The 'median patient' refers to the statistical middle of a group of patients, typically used in clinical trials to represent an average outcome. In the video, the speaker criticizes the over-reliance on treating patients based on the median result, noting that every cancer patient is different and should be treated according to their unique situation, not just the average.

💡Tumor growth

Tumor growth refers to the increase in size or spread of a tumor in the body. The speaker discusses how tumor growth is often used to evaluate whether a treatment is effective. However, they challenge the assumption that any growth is automatically a sign of failure, using an example of a patient whose tumor grew but who still lived significantly longer than expected.

💡Mathematical biology

Mathematical biology is a field that uses mathematical techniques to solve biological problems. In this context, the speaker was introduced to this field while researching sperm motility and later applied these principles to cancer research, believing that mathematical models can help doctors better predict cancer progression and treatment outcomes.

💡MRI

Magnetic Resonance Imaging (MRI) is a medical imaging technique used to visualize detailed internal structures, including tumors. The speaker discusses how MRI images are used by doctors to guide cancer treatment decisions, such as determining the size of a tumor and its response to therapy. They emphasize that while MRI provides a clear image of the tumor, mathematical models could offer additional insight into the tumor’s behavior.

💡Personalized medicine

Personalized medicine refers to tailoring medical treatment to the individual characteristics of each patient. The speaker advocates for this approach, arguing that mathematical tools can help doctors move beyond 'median' patient data and create more personalized treatment plans that take into account the unique biology of each patient’s cancer.

💡Complex systems

Complex systems are systems with many interconnected parts that interact in dynamic ways. The speaker compares cancer to a complex system, where multiple factors such as tumor cells, treatment responses, and patient biology interact. They argue that mathematics can be used to model these systems and predict how they will behave, much like it is used to predict weather patterns or financial markets.

Highlights

The speaker's family has been significantly impacted by cancer, with multiple members losing their lives to the disease.

Cancer is a widespread problem, and many people can relate to knowing family, friends, or colleagues who have battled the disease.

The speaker emphasizes that while the problem of cancer is well known, the solution to it might involve mathematics.

The speaker's early love for mathematics was sparked by solving math puzzles with their father, who was an engineer and a pilot.

After their father was diagnosed with lung cancer, the speaker was deeply involved in his care, commuting back and forth while finishing a degree in mathematics and physics.

The speaker expresses frustration with being unable to contribute to medical decisions and not understanding the discussions around their father's cancer treatment.

This frustration led the speaker to pursue a PhD in applied mathematics, focusing on the intersection of mathematics and cancer biology.

The speaker worked with Jim Murray, a leading figure in mathematical biology, to bridge the gap between math and clinical decision-making.

Tumor boards, where physicians from different specialties collaborate on patient care, are a key part of cancer treatment, but their decisions are often based on median results from clinical trials.

The speaker notes that clinical trials often group patients with the same diagnosis, but there is a broad spectrum of outcomes, and treating based on the median can be misleading.

The speaker's research focuses on modeling tumor growth and response to therapy, using mathematical models to predict individual patient outcomes rather than relying on average results.

An example is given of a patient with a brain tumor (glioblastoma) who, despite tumor growth, lived five years due to the therapy keeping the tumor off its natural growth course.

The speaker highlights the potential of using mathematical models to guide personalized treatment decisions, extending or adjusting therapies based on predicted individual outcomes.

Mathematical tools can help physicians simulate different treatment options, offering a more tailored approach to cancer care rather than relying solely on clinical trial averages.

The speaker concludes by emphasizing the uniqueness of each patient and the need for individualized equations to optimize cancer treatment.

Transcripts

play00:08

this is my

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brother my aunt my mother-in-law my

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other brother and my

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father these are some of my family

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members who have lost their life with

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cancer now the sad fact is that the

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numbers tell us that each one of you in

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this audience also can generate a

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similar list of people around you family

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friends colleagues who have battled

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cancer I don't have to convince you that

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the problem of cancer is a big big one

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but I might have to convince you of my

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conviction that the solution involves

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math so my

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introduction

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to my introduction to cancer involved my

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father he was an engineer and a pilot he

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served three tours in Vietnam before

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retiring he retired shortly after I was

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born so what that meant for me is in his

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retirement he became an antique dealer

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so that meant I spent many many moons

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many hours on the road trans traveling

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from antique show to antique show we uh

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I by the time I was in I think third

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grade I had traveled to 48 different

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states so on those long Journeys we had

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to do something and one of the things we

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often did was play play games

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specifically Math Games my father would

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teach me well if x + y is 5 and x * Y is

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6 what are X and Y I was like 6 years

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old so uh needless to say that interest

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and enthusiasm for mathematics started

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early unfortunately when my father was

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62 when I was 20 uh my father was

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diagnosed with lung

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cancer uh I was very involved with my

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father's care um unfortunately he died 7

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months after after he was

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diagnosed but being involved in his care

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um meant that I was commuting back and

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forth from tane University where I was

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finishing my my bachelor's degree in

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math and

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physics so in traveling back and forth I

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would spend all this time with my father

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and his dying months and I would spend a

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lot of time with his Physicians trying

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to figure out what the next best step

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was for my father now at the same time I

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also happened to be doing research at

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tan with some lovely mathematical

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biologists who were doing doing some

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amazing work on sperm motility in tubes

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but it is mathematics meeting biology I

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don't think you can dispute that right

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so those two things brought together an

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opportunity for me said well my father

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is sitting here I could watch him over

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those sad seven months watch him die and

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I watched all those decisions being made

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by The Physician about what is the next

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best choice for my dad should we do this

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therapy should we do that therapy is he

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failing this therapy should we move on

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to another

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therapy and I remember being so

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powerless and frustrated in the fact

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that I couldn't contribute to those

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conversations and worse yet I couldn't

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understand what the conversation was

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happening it was like a man with a

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bubble above his head with an equation

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and it just didn't add up to me and I

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was a mathematician or a virging one at

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that so while I was doing this research

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at tane on sperm motility and tubes I

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could see that maybe there was an

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opportunity for me to bring math the

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mathematics my father taught me to the

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biology of cancer and contribute to the

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world that to improve the life of my

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father and others like him so yes I'm a

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mathematician and I study

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cancer so a month after my father was

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died um I uh was admitted to a PhD

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program and Applied Mathematics I chose

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this specific program because it had the

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world leader what I would argue as the

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father of the father of the field of

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mathematical biology his name was Jim

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Murray he had just moved a few years

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earlier from the center for Center for

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mathematical biology at Oxford

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um and so he was the perfect person to

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introduce me and to tutor me in the in

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the field of the interface between

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mathematics and

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biology at the same time I was very

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interested at the interface between

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mathematics and the clinic and how

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Physicians were interacting with

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patients and how I could create this

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opportunity for adding math to our

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understanding of cancer so I began

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attending tumor board so tumor boards

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are totally interesting unique

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environment right so each they're

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basically often a large table group of

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Physicians around this table and they're

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all from different areas so there's

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Radiologists there's physi physicist um

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radiation

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biologist there's radiologist there's a

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oncologist there's surgeons uh there's

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chemotherapist you name it they're all

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around the table and they're all making

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the best decision possible they're all

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collaborating to figure out what the

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best decision possible is for that

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individual patient but what's also

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interesting kind of like the bubble

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above the head of the Physicians I was

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telling you earlier that couldn't decode

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what I learned was that the the Baseline

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decisions that were being made were a

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function of a simple answer clinical

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trials so each physician has in their

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back pocket some knowledge of the result

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of how how a patient um how patient

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should do give if I give them this

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therapy ver versus the next therapy and

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the format of those clinical

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trials are something like this you group

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get a group of homogeneous patients

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together homogeneous in the sense that

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we call them the same diagnosis and I

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use air quotes liberally in this

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particular context so they have the same

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diagnosis they're extremely similar in

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some way and we want to introduce a new

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therapy to them and we want to compare

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that to some standard approach what we

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call the standard of care so these

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physician these patients are then given

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some therapy and the net result is a

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survival curve so at the end of the day

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the key measure of this of this outcome

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of this trial is this curve so the curve

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has little steps on it each step is

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actually a patient dying and so you get

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a a sense of the degree to which this

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therapy is working summarized by one

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thing this dot in the middle the Green

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Dot that's the median patient that's the

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that's the average result that is the

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result that's in the pockets of the

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physicians at the clinical Tri at the

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room in the tumor board so they couldn't

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possibly carry this whole curve around

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them the reality is you look at this and

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you say okay well we're talking the

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median patient that's where the

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terminology treating to the median comes

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from from treating to the mean but now

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we all know we all know in this room

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that everybody's different my father was

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here he died very early compared to when

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he should have by the median my brother

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was here and my other brother was way

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out on the table tail he lived three

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years when he would really shouldn't

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have so we know there's a diversity we

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know there's Shades of Gray everybody is

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different they're all part of the

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rainbow and the reality is how do you

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match those things together how do you

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use information about individual

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patients and combine that with median

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understanding of a clinical trial and so

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that's where our tools sort of interface

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so my research began into a specific

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type of cancer known as Goma

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specifically the most aggressive of

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those

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gastas uh I was working with this

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amazing neuropathologist Buster alard um

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he was a great Menor mentor and friend

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in this

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area so my research into this disease uh

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began began um at this tumor board where

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I would learn all about what the

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clinical decisions were being made but

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what's interesting and what's horrible

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about this disease is it's a horrible

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disease it's a very bad disease patients

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typically live 15

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months so the median survival for those

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patients it's 15 months and it's also

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considered uniformly fatal the term is

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used in the first sentence of several

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any article you would pull up on this

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topic but we all know and the Physicians

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all know that it's still just part of a

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rainbow that each patient is part of a

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rainbow this rainbow so now let's fast

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forward to a tumor board for the

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specific case of a of primary brain

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tumors gomas gly

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blastoma so each of these patients are

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being discussed by The Physician they're

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trying to figure out what the best plan

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is for that particular patient knowing

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in their back pocket what the green

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patient's going to do what that median

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patient should be expected to

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do so the Physicians are often trying to

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F to fight for that individual patient

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right they're often coming to the table

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going hey we know this patient is part

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of a rainbow we just don't know where in

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the rainbow it is where in the rainbow

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this patient it will will lie and so

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there's lots of indicators for figuring

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that out and so this is kind of where

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the science of biology meets the art of

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medicine it's figuring out where these

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this interface might be so one of the

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tools that Physicians use in the case of

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T brain tumors is Mr so here is an MRI

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three-dimensional reconstruction of an

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MRI we're going to scroll from the

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bottom of the brain all the way up

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you'll see it outlined in red the tumor

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and you're going to scroll back down and

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rebuild the threedimensional region that

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is the tumor now this is exquisitely

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detailed right it's amazingly beautiful

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right it's all math and physics

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ironically

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underneath but what's interesting is

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Physicians have to use these images to

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figure out how to tailor their therapy

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Choice given their knowledge of the

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clinical trial that tells me the median

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patient is expected to live 15 months

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right these images are used by surgeons

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to figure out how to approach the tumor

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there are radiation therapists that

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figure out how to um sculpt their dose

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for radiation therapy they're

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also also uh used by uh Physicians to

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understand response to therapy and so

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that's the case I would like you to

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think about first so in this case you

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see the tumor and there's a brain

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there's a tumor you can at least see the

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tumor so this is good okay so the tumor

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um prior to treatment treatment is

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introduced post treatment there is

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another there is a a post- treatment

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response another another image so what's

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interesting about this is that if you

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have um a physician you're sitting here

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going well look prior to treatment this

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tumor was this size after treatment was

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another size at the intervening time

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there was some sort of treatment in the

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decision is at the second time point

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should we change therapy the clinical

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trial says we should this patient should

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have an improved survival of whatever

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amount by because of the median patient

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outcome but not necessarily for um this

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particular patient so do we do we make

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the next what's the next choice for this

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particular patient so clinically it is

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determined that this would be considered

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a

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failure the tumor grew it got bigger as

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a function of therapy so it's a failure

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but I'm going to challenge you to

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reconsider that choice reconsider the

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possibility that this may not be a

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failure I'm going to give you a little

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insight this particular patient was a

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66y old male who ended up living five

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years with a

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Goma so if that's a failure I'm not sure

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I'm not sure what is so now let's go

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back to our our MRI and think about the

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Physicians are sitting there talking

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about these two images the image the

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tumor grew grew through therapy

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therefore we should change treatment but

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also we have these Exquisite detail of

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this image and we have an Exquisite

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understanding of what's underlying this

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underlying the image that we see

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specifically in this case we know if we

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were to zoom

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in we could if we had the tool for every

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patient if we could zoom in we would

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find individual cells migrating

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individual cells proliferating within

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this tumor you would see them um growing

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and migrating and responding potentially

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to the therapy that's being applied to

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them so what's interesting is although

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we have this Exquisite image that can't

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quite get down to the Single Cell detail

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what you understand about the tumor is

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that it's a complex interacting system

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this complex interacting system of

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agents this complex system is start of

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at the basis of a lot of what we do

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scientifically in the world right the

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weather in the evening news is all about

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a complex system where data is

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integrated about the current wind speeds

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right are understanding the financial

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markets there are people all populating

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Wall Street that are all about

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quantifying and integrating complex

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information to understand the complex

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system that is the World Market to make

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some sort of

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predictions so at that so at a base one

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could use math to understand this

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complexity and even if you're talking

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really simply talking about Sumer cells

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proliferating invading and responding to

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therapy you can write down a really

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simple

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equation that said the point is is you

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look at the words in this case we're

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writing down that the cells are

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migrating proliferating and respond to

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therapy and then you go back to those

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Exquisite MRIs that the Physicians were

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dealing with in tumor board and you run

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this forward in time thankfully you

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still see the red tumor here so now

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let's look at the same exact case of

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that same exact patient but let's

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imagine we had the opportunity and the

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insight to understand what that tumor

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was going to do without

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treatment and here is the tumor evolving

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in time you can see the untreated course

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has not

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changed untreated growth compared to the

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legion

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above now I ask you is this a

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response turns out it is so one of the

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problems in these clinical trials and

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one of the problems with new therapies

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that are studied is the fact that if the

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tumor grows through therapy The

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Physician changes course well what's

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interesting is not all patients that

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grow through therapy end up doing poorly

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just like this patient this patient

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lived five years okay but it turns out

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in our studies of now hundreds of

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patients going on thousands we've looked

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at this sort of response the degree to

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which the treatment deflects the tumor

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off its course is a response that tells

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you that that patient is going to live

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longer right so this is a completely new

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tool to think about when you're a

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physician

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and you're struggling with the

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treatments in the intervening there's

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the post treatment tumor grew okay let's

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change course well this treatment

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derailed this tumor off course for quite

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quite significantly to so much so that

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this patient actually ended up living

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quite long and maybe they should have

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continued on this therapy because it was

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continuing to keep the tumor off course

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keep the tumor derailed right so having

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this out this this in your back pocket

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is a completely new way to think about

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not the median patient but uh but other

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other patients but individualizing our

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understanding of

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patients so now imagine the case where

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you've got a tumor you you patient shows

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up at tumor board we're all sitting

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around this table again and now you have

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something equivalent of an iPad

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app on that app you have options for

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surgery radiation chemotherapy that's

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because the surgeons have their have

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their plan they have a whole

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navigational system where they figure

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out how they're going to approach the

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tumor same thing thing for the radiation

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oncologists they have a plan they're

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going to input they're they're going to

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they're going to have a plan they're

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going to bring it to the table and the

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chemotherapist they have a plan they're

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going to bring it to the table now a lot

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of those plans are based on

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understanding of results of clinical

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trials but what they don't know is

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really how those things marry together

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how those things add together right so

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now let's imagine the surgical team

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brings in their their plan and the

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radiation oncology team brings in their

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plan and they're going to apply them in

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this way so roughly on day 25 we're

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going to have the surgery of of a signif

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of what whatever degree which I'll show

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you in just a moment and then the

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radiation oncology plan involves

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sculpting the radiation dose so that it

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salvages much as much as possible of the

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normal normal brain tissue because you

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don't want to radiate the normal brain

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if you can all avoid it so now let's add

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those things

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together so in this case we're going to

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we see the tumor tumor being reected

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there's a large reection from the

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surgery there's the radiation therapy

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being introduced you you can see the

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tumor being derailed sort of off course

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during that and then the

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recurrence so although this is not the

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ideal plan ideal result right this is

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what would this patient would actually

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receive this is in fact the standard of

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care for this particular patient this is

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actually what this patient actually

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ended up receiving in real life what you

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can say is well now you're sitting at

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tumor board and you can say well hey

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I've got an opportunity here this

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patient was significantly deflected off

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of their growth curve their tumor was

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significantly deflected off their growth

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curve during radi ation let's just

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extend that out a little bit or approach

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it in a slightly different way or what

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if we did that first and then did the

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surgery later there's a lot of options

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that can be played out that are not

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practical currently because we focus so

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much on the clinical trials of a median

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patient this is a way in which you can

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think about individualizing our

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understanding a given patient's tumor

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given patient's response to treatment

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and capitalizing on that for that

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patient so if my father's Physicians had

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had tools like this in their hands

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perhaps my dad would not have received

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that last round of therapy that was so

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painful to his quality of life perhaps

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he would have received the next round of

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a different therapy that was actually

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more successful for him and so that is

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the thing that that certainly drives

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me this is my

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father these are the faces of the folks

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in my lab the colleagues of friends and

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family of folks in my lab who have all

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faced cancer and they are the people

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that remind us every day that every

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patient is unique and every patient

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truly Des deserves their own equation

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thank

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[Applause]

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you

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Math and CancerCancer ResearchMathematicsTumor GrowthCancer TreatmentPersonal StoryMedical InnovationApplied MathTumor BoardPatient Care
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